12.430 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.086 * [simplify]: Sending expressions to egg_math: (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) 0.088 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.090 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.091 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.094 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.100 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.124 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.124 * * [progress]: iteration 1 / 4 0.124 * * * [progress]: picking best candidate 0.126 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.140 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.160 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.168 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.229 * * * [progress]: generating series expansions 0.229 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.230 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 0.230 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.230 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.230 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.230 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.230 * [taylor]: Taking taylor expansion of 0.5 in k 0.230 * [backup-simplify]: Simplify 0.5 into 0.5 0.230 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.231 * [taylor]: Taking taylor expansion of 1.0 in k 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.231 * [taylor]: Taking taylor expansion of k in k 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.231 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.231 * [taylor]: Taking taylor expansion of 2.0 in k 0.231 * [backup-simplify]: Simplify 2.0 into 2.0 0.231 * [taylor]: Taking taylor expansion of (* n PI) in k 0.231 * [taylor]: Taking taylor expansion of n in k 0.231 * [backup-simplify]: Simplify n into n 0.231 * [taylor]: Taking taylor expansion of PI in k 0.231 * [backup-simplify]: Simplify PI into PI 0.231 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.231 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.231 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.232 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.232 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.232 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.232 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.232 * [taylor]: Taking taylor expansion of 0.5 in n 0.232 * [backup-simplify]: Simplify 0.5 into 0.5 0.232 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.232 * [taylor]: Taking taylor expansion of 1.0 in n 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [taylor]: Taking taylor expansion of k in n 0.232 * [backup-simplify]: Simplify k into k 0.232 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.232 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.232 * [taylor]: Taking taylor expansion of 2.0 in n 0.232 * [backup-simplify]: Simplify 2.0 into 2.0 0.232 * [taylor]: Taking taylor expansion of (* n PI) in n 0.232 * [taylor]: Taking taylor expansion of n in n 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of PI in n 0.232 * [backup-simplify]: Simplify PI into PI 0.233 * [backup-simplify]: Simplify (* 0 PI) into 0 0.233 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.234 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.235 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.236 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.236 * [backup-simplify]: Simplify (- k) into (- k) 0.236 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.236 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.237 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.237 * [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)))) 0.238 * [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))))) 0.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.238 * [taylor]: Taking taylor expansion of 0.5 in n 0.238 * [backup-simplify]: Simplify 0.5 into 0.5 0.238 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.238 * [taylor]: Taking taylor expansion of 1.0 in n 0.238 * [backup-simplify]: Simplify 1.0 into 1.0 0.238 * [taylor]: Taking taylor expansion of k in n 0.238 * [backup-simplify]: Simplify k into k 0.238 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.238 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.238 * [taylor]: Taking taylor expansion of 2.0 in n 0.238 * [backup-simplify]: Simplify 2.0 into 2.0 0.238 * [taylor]: Taking taylor expansion of (* n PI) in n 0.238 * [taylor]: Taking taylor expansion of n in n 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of PI in n 0.239 * [backup-simplify]: Simplify PI into PI 0.239 * [backup-simplify]: Simplify (* 0 PI) into 0 0.239 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.241 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.241 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.242 * [backup-simplify]: Simplify (- k) into (- k) 0.242 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.242 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.242 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.243 * [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)))) 0.244 * [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))))) 0.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.244 * [taylor]: Taking taylor expansion of 0.5 in k 0.244 * [backup-simplify]: Simplify 0.5 into 0.5 0.244 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.244 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.244 * [taylor]: Taking taylor expansion of 1.0 in k 0.244 * [backup-simplify]: Simplify 1.0 into 1.0 0.244 * [taylor]: Taking taylor expansion of k in k 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.244 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.244 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.244 * [taylor]: Taking taylor expansion of 2.0 in k 0.244 * [backup-simplify]: Simplify 2.0 into 2.0 0.244 * [taylor]: Taking taylor expansion of PI in k 0.244 * [backup-simplify]: Simplify PI into PI 0.245 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.245 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.245 * [taylor]: Taking taylor expansion of (log n) in k 0.245 * [taylor]: Taking taylor expansion of n in k 0.245 * [backup-simplify]: Simplify n into n 0.245 * [backup-simplify]: Simplify (log n) into (log n) 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.246 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 0.247 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 0.248 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 0.248 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.249 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.250 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 0.253 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.254 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 0.255 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.255 * [taylor]: Taking taylor expansion of 0 in k 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.259 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 0.260 * [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)))) 0.262 * [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)))))) 0.264 * [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)))))) 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.267 * [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 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.270 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.271 * [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 0.271 * [taylor]: Taking taylor expansion of 0 in k 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.274 * [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 0.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 0.280 * [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)))))) 0.283 * [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)))))) 0.290 * [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)))))) 0.290 * [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)))) 0.290 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.290 * [taylor]: Taking taylor expansion of 0.5 in k 0.290 * [backup-simplify]: Simplify 0.5 into 0.5 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.291 * [taylor]: Taking taylor expansion of 2.0 in k 0.291 * [backup-simplify]: Simplify 2.0 into 2.0 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.291 * [taylor]: Taking taylor expansion of PI in k 0.291 * [backup-simplify]: Simplify PI into PI 0.291 * [taylor]: Taking taylor expansion of n in k 0.291 * [backup-simplify]: Simplify n into n 0.291 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.291 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.291 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.291 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.292 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.292 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.292 * [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))))) 0.292 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [backup-simplify]: Simplify 0.5 into 0.5 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [backup-simplify]: Simplify 1.0 into 1.0 0.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.292 * [taylor]: Taking taylor expansion of k in n 0.292 * [backup-simplify]: Simplify k into k 0.292 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.292 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.292 * [taylor]: Taking taylor expansion of 2.0 in n 0.292 * [backup-simplify]: Simplify 2.0 into 2.0 0.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.292 * [backup-simplify]: Simplify PI into PI 0.292 * [taylor]: Taking taylor expansion of n in n 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ PI 1) into PI 0.293 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.294 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.294 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.294 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.294 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.295 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.295 * [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)))) 0.296 * [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))))) 0.296 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.296 * [taylor]: Taking taylor expansion of 0.5 in n 0.296 * [backup-simplify]: Simplify 0.5 into 0.5 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [backup-simplify]: Simplify 1.0 into 1.0 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.296 * [taylor]: Taking taylor expansion of k in n 0.296 * [backup-simplify]: Simplify k into k 0.296 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.297 * [taylor]: Taking taylor expansion of 2.0 in n 0.297 * [backup-simplify]: Simplify 2.0 into 2.0 0.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.297 * [taylor]: Taking taylor expansion of PI in n 0.297 * [backup-simplify]: Simplify PI into PI 0.297 * [taylor]: Taking taylor expansion of n in n 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ PI 1) into PI 0.297 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.298 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.298 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.298 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.298 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.299 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.300 * [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)))) 0.300 * [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))))) 0.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.300 * [taylor]: Taking taylor expansion of 0.5 in k 0.300 * [backup-simplify]: Simplify 0.5 into 0.5 0.300 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.300 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.300 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.300 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.300 * [taylor]: Taking taylor expansion of 2.0 in k 0.301 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [taylor]: Taking taylor expansion of PI in k 0.301 * [backup-simplify]: Simplify PI into PI 0.301 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.301 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.301 * [taylor]: Taking taylor expansion of (log n) in k 0.301 * [taylor]: Taking taylor expansion of n in k 0.301 * [backup-simplify]: Simplify n into n 0.302 * [backup-simplify]: Simplify (log n) into (log n) 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.302 * [taylor]: Taking taylor expansion of 1.0 in k 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.302 * [taylor]: Taking taylor expansion of k in k 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.303 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 0.303 * [backup-simplify]: Simplify (- 1) into -1 0.303 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.304 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 0.304 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 0.305 * [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))))) 0.306 * [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))))) 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.311 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 0.312 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.312 * [taylor]: Taking taylor expansion of 0 in k 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.315 * [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 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.318 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 0.325 * [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 0.325 * [taylor]: Taking taylor expansion of 0 in k 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.329 * [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 0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.333 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 0.334 * [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 0.334 * [taylor]: Taking taylor expansion of 0 in k 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [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)))) 0.336 * [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))) 0.336 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.336 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.336 * [taylor]: Taking taylor expansion of 0.5 in k 0.336 * [backup-simplify]: Simplify 0.5 into 0.5 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.336 * [taylor]: Taking taylor expansion of k in k 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1.0 in k 0.336 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.336 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.336 * [taylor]: Taking taylor expansion of -2.0 in k 0.336 * [backup-simplify]: Simplify -2.0 into -2.0 0.336 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.336 * [taylor]: Taking taylor expansion of PI in k 0.336 * [backup-simplify]: Simplify PI into PI 0.336 * [taylor]: Taking taylor expansion of n in k 0.336 * [backup-simplify]: Simplify n into n 0.336 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.336 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.336 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.337 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.337 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.337 * [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)))))) 0.337 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.337 * [taylor]: Taking taylor expansion of 0.5 in n 0.337 * [backup-simplify]: Simplify 0.5 into 0.5 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.337 * [taylor]: Taking taylor expansion of k in n 0.337 * [backup-simplify]: Simplify k into k 0.337 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.337 * [taylor]: Taking taylor expansion of 1.0 in n 0.337 * [backup-simplify]: Simplify 1.0 into 1.0 0.337 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.337 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.337 * [taylor]: Taking taylor expansion of -2.0 in n 0.337 * [backup-simplify]: Simplify -2.0 into -2.0 0.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.338 * [taylor]: Taking taylor expansion of PI in n 0.338 * [backup-simplify]: Simplify PI into PI 0.338 * [taylor]: Taking taylor expansion of n in n 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ PI 1) into PI 0.338 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.339 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.339 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.339 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.340 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.340 * [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)))) 0.341 * [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))))) 0.341 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.341 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.341 * [taylor]: Taking taylor expansion of 0.5 in n 0.341 * [backup-simplify]: Simplify 0.5 into 0.5 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.341 * [taylor]: Taking taylor expansion of k in n 0.341 * [backup-simplify]: Simplify k into k 0.341 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.342 * [taylor]: Taking taylor expansion of -2.0 in n 0.342 * [backup-simplify]: Simplify -2.0 into -2.0 0.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.342 * [taylor]: Taking taylor expansion of PI in n 0.342 * [backup-simplify]: Simplify PI into PI 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ PI 1) into PI 0.342 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.343 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.343 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.343 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.344 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.344 * [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)))) 0.345 * [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))))) 0.345 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.345 * [taylor]: Taking taylor expansion of 0.5 in k 0.345 * [backup-simplify]: Simplify 0.5 into 0.5 0.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.345 * [taylor]: Taking taylor expansion of k in k 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of 1.0 in k 0.346 * [backup-simplify]: Simplify 1.0 into 1.0 0.346 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.346 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.346 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.346 * [taylor]: Taking taylor expansion of -2.0 in k 0.346 * [backup-simplify]: Simplify -2.0 into -2.0 0.346 * [taylor]: Taking taylor expansion of PI in k 0.346 * [backup-simplify]: Simplify PI into PI 0.346 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.347 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.347 * [taylor]: Taking taylor expansion of (log n) in k 0.347 * [taylor]: Taking taylor expansion of n in k 0.347 * [backup-simplify]: Simplify n into n 0.347 * [backup-simplify]: Simplify (log n) into (log n) 0.347 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.348 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 0.348 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 0.349 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 0.350 * [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))))) 0.351 * [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))))) 0.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 0.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.355 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.356 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.356 * [taylor]: Taking taylor expansion of 0 in k 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.359 * [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 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.362 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 0.363 * [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 0.363 * [taylor]: Taking taylor expansion of 0 in k 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.368 * [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 0.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 0.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.371 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 0.372 * [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 0.372 * [taylor]: Taking taylor expansion of 0 in k 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [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)))))) 0.373 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.373 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 0.373 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.373 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.373 * [taylor]: Taking taylor expansion of 1.0 in k 0.373 * [backup-simplify]: Simplify 1.0 into 1.0 0.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.374 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.374 * [taylor]: Taking taylor expansion of k in k 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [backup-simplify]: Simplify (sqrt 0) into 0 0.375 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.375 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.375 * [taylor]: Taking taylor expansion of 1.0 in k 0.375 * [backup-simplify]: Simplify 1.0 into 1.0 0.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.375 * [taylor]: Taking taylor expansion of k in k 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [backup-simplify]: Simplify (sqrt 0) into 0 0.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.376 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.381 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.381 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.385 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.385 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.386 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 0.386 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 0.386 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.386 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.386 * [taylor]: Taking taylor expansion of 1.0 in k 0.386 * [backup-simplify]: Simplify 1.0 into 1.0 0.386 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.386 * [taylor]: Taking taylor expansion of k in k 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (sqrt 0) into 0 0.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.387 * [taylor]: Taking taylor expansion of 1.0 in k 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.388 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.388 * [taylor]: Taking taylor expansion of k in k 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (sqrt 0) into 0 0.388 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.389 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.390 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.392 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.393 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.393 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.396 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.396 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.397 * [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)))))))) 0.398 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 0.398 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.398 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 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 (sqrt (/ -1 k)) in k 0.398 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.398 * [taylor]: Taking taylor expansion of -1 in k 0.398 * [backup-simplify]: Simplify -1 into -1 0.398 * [taylor]: Taking taylor expansion of k in k 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (/ -1 1) into -1 0.398 * [backup-simplify]: Simplify (sqrt 0) into 0 0.399 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.399 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.399 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.399 * [taylor]: Taking taylor expansion of 1.0 in k 0.399 * [backup-simplify]: Simplify 1.0 into 1.0 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.399 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.399 * [taylor]: Taking taylor expansion of -1 in k 0.399 * [backup-simplify]: Simplify -1 into -1 0.399 * [taylor]: Taking taylor expansion of k in k 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ -1 1) into -1 0.400 * [backup-simplify]: Simplify (sqrt 0) into 0 0.401 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.401 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.401 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.405 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.405 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.410 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.410 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.411 * [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))))) 0.411 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.411 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.411 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.412 * [taylor]: Taking taylor expansion of 2.0 in n 0.412 * [backup-simplify]: Simplify 2.0 into 2.0 0.412 * [taylor]: Taking taylor expansion of (* n PI) in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of PI in n 0.412 * [backup-simplify]: Simplify PI into PI 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.412 * [taylor]: Taking taylor expansion of 2.0 in n 0.412 * [backup-simplify]: Simplify 2.0 into 2.0 0.412 * [taylor]: Taking taylor expansion of (* n PI) in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of PI in n 0.412 * [backup-simplify]: Simplify PI into PI 0.412 * [backup-simplify]: Simplify (* 0 PI) into 0 0.412 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.414 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.420 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.431 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 0.431 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.431 * [taylor]: Taking taylor expansion of 2.0 in n 0.431 * [backup-simplify]: Simplify 2.0 into 2.0 0.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.431 * [taylor]: Taking taylor expansion of PI in n 0.431 * [backup-simplify]: Simplify PI into PI 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ PI 1) into PI 0.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.431 * [taylor]: Taking taylor expansion of 2.0 in n 0.431 * [backup-simplify]: Simplify 2.0 into 2.0 0.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.431 * [taylor]: Taking taylor expansion of PI in n 0.431 * [backup-simplify]: Simplify PI into PI 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ PI 1) into PI 0.432 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.432 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.439 * [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 0.440 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 0.441 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 0.441 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.441 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.441 * [taylor]: Taking taylor expansion of -2.0 in n 0.441 * [backup-simplify]: Simplify -2.0 into -2.0 0.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.441 * [taylor]: Taking taylor expansion of PI in n 0.441 * [backup-simplify]: Simplify PI into PI 0.441 * [taylor]: Taking taylor expansion of n in n 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ PI 1) into PI 0.441 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.441 * [taylor]: Taking taylor expansion of -2.0 in n 0.441 * [backup-simplify]: Simplify -2.0 into -2.0 0.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.441 * [taylor]: Taking taylor expansion of PI in n 0.441 * [backup-simplify]: Simplify PI into PI 0.441 * [taylor]: Taking taylor expansion of n in n 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ PI 1) into PI 0.442 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.442 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [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 0.450 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 0.450 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.451 * [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))))) 0.451 * [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 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [backup-simplify]: Simplify 1.0 into 1.0 0.451 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.451 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.451 * [taylor]: Taking taylor expansion of k in n 0.451 * [backup-simplify]: Simplify k into k 0.451 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.451 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.451 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.451 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.451 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.451 * [taylor]: Taking taylor expansion of 0.5 in n 0.451 * [backup-simplify]: Simplify 0.5 into 0.5 0.451 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [backup-simplify]: Simplify 1.0 into 1.0 0.451 * [taylor]: Taking taylor expansion of k in n 0.451 * [backup-simplify]: Simplify k into k 0.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.451 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.451 * [taylor]: Taking taylor expansion of 2.0 in n 0.451 * [backup-simplify]: Simplify 2.0 into 2.0 0.451 * [taylor]: Taking taylor expansion of (* n PI) in n 0.451 * [taylor]: Taking taylor expansion of n in n 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of PI in n 0.451 * [backup-simplify]: Simplify PI into PI 0.452 * [backup-simplify]: Simplify (* 0 PI) into 0 0.452 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.453 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.454 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.454 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.454 * [backup-simplify]: Simplify (- k) into (- k) 0.454 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.454 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.455 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.456 * [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)))) 0.457 * [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))))) 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.457 * [taylor]: Taking taylor expansion of 1.0 in k 0.457 * [backup-simplify]: Simplify 1.0 into 1.0 0.457 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.457 * [taylor]: Taking taylor expansion of k in k 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [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 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.458 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.458 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.458 * [taylor]: Taking taylor expansion of 0.5 in k 0.458 * [backup-simplify]: Simplify 0.5 into 0.5 0.458 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.458 * [taylor]: Taking taylor expansion of 1.0 in k 0.458 * [backup-simplify]: Simplify 1.0 into 1.0 0.458 * [taylor]: Taking taylor expansion of k in k 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.458 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.458 * [taylor]: Taking taylor expansion of 2.0 in k 0.458 * [backup-simplify]: Simplify 2.0 into 2.0 0.458 * [taylor]: Taking taylor expansion of (* n PI) in k 0.458 * [taylor]: Taking taylor expansion of n in k 0.458 * [backup-simplify]: Simplify n into n 0.459 * [taylor]: Taking taylor expansion of PI in k 0.459 * [backup-simplify]: Simplify PI into PI 0.459 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.459 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.459 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.459 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.459 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.460 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.460 * [taylor]: Taking taylor expansion of 1.0 in k 0.460 * [backup-simplify]: Simplify 1.0 into 1.0 0.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.460 * [taylor]: Taking taylor expansion of k in k 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (sqrt 0) into 0 0.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.461 * [taylor]: Taking taylor expansion of 0.5 in k 0.461 * [backup-simplify]: Simplify 0.5 into 0.5 0.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.461 * [taylor]: Taking taylor expansion of 1.0 in k 0.461 * [backup-simplify]: Simplify 1.0 into 1.0 0.461 * [taylor]: Taking taylor expansion of k in k 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.461 * [taylor]: Taking taylor expansion of 2.0 in k 0.461 * [backup-simplify]: Simplify 2.0 into 2.0 0.461 * [taylor]: Taking taylor expansion of (* n PI) in k 0.461 * [taylor]: Taking taylor expansion of n in k 0.461 * [backup-simplify]: Simplify n into n 0.461 * [taylor]: Taking taylor expansion of PI in k 0.461 * [backup-simplify]: Simplify PI into PI 0.461 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.461 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.461 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.462 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.462 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.462 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.463 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 0.463 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in n 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 0.463 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 0.464 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 0.465 * [backup-simplify]: Simplify (- 1) into -1 0.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.466 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 0.466 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 0.467 * [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))) 0.468 * [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))) 0.469 * [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))) 0.469 * [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 0.469 * [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 0.469 * [taylor]: Taking taylor expansion of +nan.0 in n 0.469 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.469 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.469 * [taylor]: Taking taylor expansion of 0.5 in n 0.469 * [backup-simplify]: Simplify 0.5 into 0.5 0.469 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.469 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.469 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.469 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.469 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.469 * [taylor]: Taking taylor expansion of 1.0 in n 0.469 * [backup-simplify]: Simplify 1.0 into 1.0 0.469 * [taylor]: Taking taylor expansion of (log PI) in n 0.469 * [taylor]: Taking taylor expansion of PI in n 0.469 * [backup-simplify]: Simplify PI into PI 0.469 * [backup-simplify]: Simplify (log PI) into (log PI) 0.470 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.471 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.471 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.471 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.471 * [taylor]: Taking taylor expansion of 1.0 in n 0.471 * [backup-simplify]: Simplify 1.0 into 1.0 0.471 * [taylor]: Taking taylor expansion of (log n) in n 0.471 * [taylor]: Taking taylor expansion of n in n 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (log 1) into 0 0.472 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.472 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.472 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.472 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.472 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.472 * [taylor]: Taking taylor expansion of 1.0 in n 0.472 * [backup-simplify]: Simplify 1.0 into 1.0 0.472 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.472 * [taylor]: Taking taylor expansion of 2.0 in n 0.472 * [backup-simplify]: Simplify 2.0 into 2.0 0.472 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.473 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.474 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.474 * [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) 0.475 * [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) 0.475 * [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)) 0.476 * [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))) 0.477 * [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) 0.478 * [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)) 0.479 * [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))) 0.480 * [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))) 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 0.482 * [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 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 0.484 * [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))) 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.488 * [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)))))))) 0.492 * [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)))))))) 0.492 * [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 0.492 * [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 0.492 * [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 0.492 * [taylor]: Taking taylor expansion of +nan.0 in n 0.492 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.492 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.492 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.492 * [taylor]: Taking taylor expansion of 0.5 in n 0.492 * [backup-simplify]: Simplify 0.5 into 0.5 0.492 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.492 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.492 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.492 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.492 * [taylor]: Taking taylor expansion of 1.0 in n 0.492 * [backup-simplify]: Simplify 1.0 into 1.0 0.492 * [taylor]: Taking taylor expansion of (log PI) in n 0.492 * [taylor]: Taking taylor expansion of PI in n 0.492 * [backup-simplify]: Simplify PI into PI 0.492 * [backup-simplify]: Simplify (log PI) into (log PI) 0.493 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.494 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.494 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.494 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [backup-simplify]: Simplify 1.0 into 1.0 0.494 * [taylor]: Taking taylor expansion of (log n) in n 0.494 * [taylor]: Taking taylor expansion of n in n 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (log 1) into 0 0.494 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.494 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.495 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.495 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.495 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.495 * [taylor]: Taking taylor expansion of 1.0 in n 0.495 * [backup-simplify]: Simplify 1.0 into 1.0 0.495 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.495 * [taylor]: Taking taylor expansion of 2.0 in n 0.495 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.495 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.496 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.497 * [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) 0.497 * [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) 0.498 * [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)) 0.499 * [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))) 0.500 * [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) 0.500 * [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 0.500 * [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 0.500 * [taylor]: Taking taylor expansion of +nan.0 in n 0.500 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.500 * [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 0.500 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.500 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.500 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.500 * [taylor]: Taking taylor expansion of 0.5 in n 0.500 * [backup-simplify]: Simplify 0.5 into 0.5 0.500 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.500 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.500 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.500 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.500 * [taylor]: Taking taylor expansion of 1.0 in n 0.500 * [backup-simplify]: Simplify 1.0 into 1.0 0.500 * [taylor]: Taking taylor expansion of (log 2.0) 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 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.501 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.502 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.502 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.502 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.502 * [taylor]: Taking taylor expansion of 1.0 in n 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.502 * [taylor]: Taking taylor expansion of (log PI) in n 0.502 * [taylor]: Taking taylor expansion of PI in n 0.502 * [backup-simplify]: Simplify PI into PI 0.502 * [backup-simplify]: Simplify (log PI) into (log PI) 0.503 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.504 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.504 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [backup-simplify]: Simplify 1.0 into 1.0 0.504 * [taylor]: Taking taylor expansion of (log n) in n 0.504 * [taylor]: Taking taylor expansion of n in n 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (log 1) into 0 0.505 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.505 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.505 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.505 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.506 * [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) 0.507 * [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)) 0.507 * [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))) 0.509 * [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) 0.509 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.509 * [taylor]: Taking taylor expansion of 2.0 in n 0.509 * [backup-simplify]: Simplify 2.0 into 2.0 0.509 * [taylor]: Taking taylor expansion of (* n PI) in n 0.509 * [taylor]: Taking taylor expansion of n in n 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of PI in n 0.509 * [backup-simplify]: Simplify PI into PI 0.509 * [backup-simplify]: Simplify (* 0 PI) into 0 0.509 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.511 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.512 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.513 * [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)) 0.514 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.515 * [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)) 0.522 * [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))) 0.524 * [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)))))) 0.527 * [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)))))))) 0.531 * [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)))))))) 0.534 * [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)))))))) 0.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 0.537 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 0.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.538 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.538 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 0.538 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 0.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 0.541 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 0.543 * [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 0.544 * [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 0.545 * [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 0.547 * [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 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 0.550 * [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 0.550 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 0.553 * [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))) 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.559 * [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)))))))) 0.565 * [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)))))))) 0.565 * [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 0.565 * [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 0.565 * [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 0.565 * [taylor]: Taking taylor expansion of +nan.0 in n 0.565 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.565 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.565 * [taylor]: Taking taylor expansion of 0.5 in n 0.565 * [backup-simplify]: Simplify 0.5 into 0.5 0.565 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.565 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.565 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.566 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.566 * [taylor]: Taking taylor expansion of 1.0 in n 0.566 * [backup-simplify]: Simplify 1.0 into 1.0 0.566 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.566 * [taylor]: Taking taylor expansion of 2.0 in n 0.566 * [backup-simplify]: Simplify 2.0 into 2.0 0.566 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.567 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.568 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.568 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.568 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.568 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.568 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.568 * [taylor]: Taking taylor expansion of 1.0 in n 0.568 * [backup-simplify]: Simplify 1.0 into 1.0 0.568 * [taylor]: Taking taylor expansion of (log n) in n 0.568 * [taylor]: Taking taylor expansion of n in n 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [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 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.568 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.568 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.568 * [taylor]: Taking taylor expansion of 1.0 in n 0.568 * [backup-simplify]: Simplify 1.0 into 1.0 0.568 * [taylor]: Taking taylor expansion of (log PI) in n 0.568 * [taylor]: Taking taylor expansion of PI in n 0.568 * [backup-simplify]: Simplify PI into PI 0.569 * [backup-simplify]: Simplify (log PI) into (log PI) 0.569 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.570 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.571 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.571 * [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) 0.572 * [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)) 0.573 * [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))) 0.574 * [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) 0.574 * [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 0.574 * [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 0.574 * [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 0.574 * [taylor]: Taking taylor expansion of +nan.0 in n 0.574 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.574 * [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 0.574 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.574 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.574 * [taylor]: Taking taylor expansion of 0.5 in n 0.574 * [backup-simplify]: Simplify 0.5 into 0.5 0.574 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.574 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.574 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.574 * [taylor]: Taking taylor expansion of 1.0 in n 0.574 * [backup-simplify]: Simplify 1.0 into 1.0 0.574 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.574 * [taylor]: Taking taylor expansion of 2.0 in n 0.574 * [backup-simplify]: Simplify 2.0 into 2.0 0.574 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.575 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.576 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.576 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.576 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.576 * [taylor]: Taking taylor expansion of 1.0 in n 0.576 * [backup-simplify]: Simplify 1.0 into 1.0 0.576 * [taylor]: Taking taylor expansion of (log PI) in n 0.576 * [taylor]: Taking taylor expansion of PI in n 0.576 * [backup-simplify]: Simplify PI into PI 0.576 * [backup-simplify]: Simplify (log PI) into (log PI) 0.577 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.578 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.578 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.578 * [taylor]: Taking taylor expansion of 1.0 in n 0.578 * [backup-simplify]: Simplify 1.0 into 1.0 0.578 * [taylor]: Taking taylor expansion of (log n) in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (log 1) into 0 0.578 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.578 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.579 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.579 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.580 * [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) 0.580 * [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)) 0.581 * [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))) 0.582 * [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) 0.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.582 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.582 * [taylor]: Taking taylor expansion of 2.0 in n 0.582 * [backup-simplify]: Simplify 2.0 into 2.0 0.582 * [taylor]: Taking taylor expansion of (* n PI) in n 0.582 * [taylor]: Taking taylor expansion of n in n 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of PI in n 0.582 * [backup-simplify]: Simplify PI into PI 0.583 * [backup-simplify]: Simplify (* 0 PI) into 0 0.583 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.584 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.585 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.585 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.585 * [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 0.585 * [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 0.585 * [taylor]: Taking taylor expansion of +nan.0 in n 0.585 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.585 * [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 0.585 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.585 * [taylor]: Taking taylor expansion of 0.5 in n 0.585 * [backup-simplify]: Simplify 0.5 into 0.5 0.585 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.585 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.585 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.585 * [taylor]: Taking taylor expansion of 1.0 in n 0.586 * [backup-simplify]: Simplify 1.0 into 1.0 0.586 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.586 * [taylor]: Taking taylor expansion of 2.0 in n 0.586 * [backup-simplify]: Simplify 2.0 into 2.0 0.586 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.587 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.587 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.587 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.587 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.587 * [taylor]: Taking taylor expansion of 1.0 in n 0.588 * [backup-simplify]: Simplify 1.0 into 1.0 0.588 * [taylor]: Taking taylor expansion of (log PI) in n 0.588 * [taylor]: Taking taylor expansion of PI in n 0.588 * [backup-simplify]: Simplify PI into PI 0.588 * [backup-simplify]: Simplify (log PI) into (log PI) 0.588 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.589 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.589 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.589 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.589 * [taylor]: Taking taylor expansion of 1.0 in n 0.589 * [backup-simplify]: Simplify 1.0 into 1.0 0.589 * [taylor]: Taking taylor expansion of (log n) in n 0.589 * [taylor]: Taking taylor expansion of n in n 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (log 1) into 0 0.590 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.590 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.590 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.591 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.591 * [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) 0.592 * [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)) 0.593 * [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))) 0.594 * [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) 0.594 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.594 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.594 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.594 * [taylor]: Taking taylor expansion of 2.0 in n 0.594 * [backup-simplify]: Simplify 2.0 into 2.0 0.594 * [taylor]: Taking taylor expansion of (* n PI) in n 0.594 * [taylor]: Taking taylor expansion of n in n 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of PI in n 0.594 * [backup-simplify]: Simplify PI into PI 0.594 * [backup-simplify]: Simplify (* 0 PI) into 0 0.594 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.596 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.597 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.598 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.599 * [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)) 0.599 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.601 * [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)) 0.602 * [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))) 0.603 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.604 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.605 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 0.607 * [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)) 0.608 * [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))) 0.611 * [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)))))))) 0.622 * [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)))))))))))) 0.631 * [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)))))))))))) 0.640 * [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)))))))))))))) 0.650 * [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)))))))))))))) 0.659 * [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)))))))))))))) 0.674 * [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)))))))))))))))))))))) 0.674 * [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)))))) 0.674 * [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 0.674 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.675 * [taylor]: Taking taylor expansion of 1.0 in n 0.675 * [backup-simplify]: Simplify 1.0 into 1.0 0.675 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.675 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.675 * [taylor]: Taking taylor expansion of k in n 0.675 * [backup-simplify]: Simplify k into k 0.675 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 0.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 0.675 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.675 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.675 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.675 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.675 * [taylor]: Taking taylor expansion of 0.5 in n 0.675 * [backup-simplify]: Simplify 0.5 into 0.5 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.675 * [taylor]: Taking taylor expansion of 1.0 in n 0.675 * [backup-simplify]: Simplify 1.0 into 1.0 0.675 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.675 * [taylor]: Taking taylor expansion of k in n 0.675 * [backup-simplify]: Simplify k into k 0.675 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.675 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.675 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.675 * [taylor]: Taking taylor expansion of 2.0 in n 0.675 * [backup-simplify]: Simplify 2.0 into 2.0 0.675 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.675 * [taylor]: Taking taylor expansion of PI in n 0.675 * [backup-simplify]: Simplify PI into PI 0.675 * [taylor]: Taking taylor expansion of n in n 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (/ PI 1) into PI 0.676 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.676 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.676 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.676 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.676 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.677 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.678 * [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)))) 0.679 * [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))))) 0.679 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.679 * [taylor]: Taking taylor expansion of 1.0 in k 0.679 * [backup-simplify]: Simplify 1.0 into 1.0 0.679 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.679 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.679 * [taylor]: Taking taylor expansion of k in k 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (sqrt 0) into 0 0.680 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.680 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.680 * [taylor]: Taking taylor expansion of 0.5 in k 0.680 * [backup-simplify]: Simplify 0.5 into 0.5 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.680 * [taylor]: Taking taylor expansion of 1.0 in k 0.680 * [backup-simplify]: Simplify 1.0 into 1.0 0.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.680 * [taylor]: Taking taylor expansion of k in k 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (/ 1 1) into 1 0.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.681 * [taylor]: Taking taylor expansion of 2.0 in k 0.681 * [backup-simplify]: Simplify 2.0 into 2.0 0.681 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.681 * [taylor]: Taking taylor expansion of PI in k 0.681 * [backup-simplify]: Simplify PI into PI 0.681 * [taylor]: Taking taylor expansion of n in k 0.681 * [backup-simplify]: Simplify n into n 0.681 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.681 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.681 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.681 * [backup-simplify]: Simplify (- 1) into -1 0.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.682 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.682 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.682 * [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))))) 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.682 * [taylor]: Taking taylor expansion of 1.0 in k 0.682 * [backup-simplify]: Simplify 1.0 into 1.0 0.682 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.682 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.682 * [taylor]: Taking taylor expansion of k in k 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (sqrt 0) into 0 0.683 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.683 * [taylor]: Taking taylor expansion of 0.5 in k 0.683 * [backup-simplify]: Simplify 0.5 into 0.5 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.683 * [taylor]: Taking taylor expansion of 1.0 in k 0.683 * [backup-simplify]: Simplify 1.0 into 1.0 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.683 * [taylor]: Taking taylor expansion of k in k 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.684 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.684 * [taylor]: Taking taylor expansion of 2.0 in k 0.684 * [backup-simplify]: Simplify 2.0 into 2.0 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.684 * [taylor]: Taking taylor expansion of PI in k 0.684 * [backup-simplify]: Simplify PI into PI 0.684 * [taylor]: Taking taylor expansion of n in k 0.684 * [backup-simplify]: Simplify n into n 0.684 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.684 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.684 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.684 * [backup-simplify]: Simplify (- 1) into -1 0.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.685 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.685 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.685 * [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))))) 0.685 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 0.685 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.685 * [taylor]: Taking taylor expansion of 0 in n 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.686 * [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))))))) 0.686 * [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))))))) 0.686 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.686 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.686 * [taylor]: Taking taylor expansion of +nan.0 in n 0.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.686 * [taylor]: Taking taylor expansion of 0.5 in n 0.686 * [backup-simplify]: Simplify 0.5 into 0.5 0.686 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.686 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.686 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.686 * [taylor]: Taking taylor expansion of 2.0 in n 0.686 * [backup-simplify]: Simplify 2.0 into 2.0 0.686 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.686 * [taylor]: Taking taylor expansion of PI in n 0.686 * [backup-simplify]: Simplify PI into PI 0.686 * [taylor]: Taking taylor expansion of n in n 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (/ PI 1) into PI 0.687 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.688 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [backup-simplify]: Simplify 1.0 into 1.0 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.688 * [backup-simplify]: Simplify k into k 0.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.689 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.689 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.690 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.690 * [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)))) 0.691 * [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))))) 0.692 * [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)))))) 0.693 * [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))))))) 0.693 * [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))))))) 0.693 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.696 * [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))))))) 0.696 * [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))))))) 0.697 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.697 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.697 * [taylor]: Taking taylor expansion of +nan.0 in n 0.697 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.697 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.697 * [taylor]: Taking taylor expansion of 0.5 in n 0.697 * [backup-simplify]: Simplify 0.5 into 0.5 0.697 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [backup-simplify]: Simplify 2.0 into 2.0 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [backup-simplify]: Simplify PI into PI 0.697 * [taylor]: Taking taylor expansion of n in n 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ PI 1) into PI 0.697 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.698 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.698 * [taylor]: Taking taylor expansion of 1.0 in n 0.698 * [backup-simplify]: Simplify 1.0 into 1.0 0.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.698 * [taylor]: Taking taylor expansion of k in n 0.698 * [backup-simplify]: Simplify k into k 0.698 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.699 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.699 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.700 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.701 * [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)))) 0.701 * [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))))) 0.702 * [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)))))) 0.703 * [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))))))) 0.704 * [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))))))) 0.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.708 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 0.710 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 0.716 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.720 * [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))))))) 0.720 * [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))))))) 0.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.721 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.721 * [taylor]: Taking taylor expansion of +nan.0 in n 0.721 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.721 * [taylor]: Taking taylor expansion of 0.5 in n 0.721 * [backup-simplify]: Simplify 0.5 into 0.5 0.721 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.721 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.721 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.721 * [taylor]: Taking taylor expansion of 2.0 in n 0.721 * [backup-simplify]: Simplify 2.0 into 2.0 0.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.721 * [taylor]: Taking taylor expansion of PI in n 0.721 * [backup-simplify]: Simplify PI into PI 0.721 * [taylor]: Taking taylor expansion of n in n 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (/ PI 1) into PI 0.721 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.722 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.722 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.722 * [taylor]: Taking taylor expansion of 1.0 in n 0.722 * [backup-simplify]: Simplify 1.0 into 1.0 0.722 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.722 * [taylor]: Taking taylor expansion of k in n 0.722 * [backup-simplify]: Simplify k into k 0.722 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.723 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.723 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.724 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.725 * [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)))) 0.725 * [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))))) 0.726 * [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)))))) 0.727 * [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))))))) 0.727 * [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))))))) 0.730 * [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)))))))) 0.731 * [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)))) 0.731 * [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 0.731 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.731 * [taylor]: Taking taylor expansion of 1.0 in n 0.731 * [backup-simplify]: Simplify 1.0 into 1.0 0.731 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.731 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.731 * [taylor]: Taking taylor expansion of 0.5 in n 0.731 * [backup-simplify]: Simplify 0.5 into 0.5 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.731 * [taylor]: Taking taylor expansion of k in n 0.731 * [backup-simplify]: Simplify k into k 0.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.731 * [taylor]: Taking taylor expansion of 1.0 in n 0.731 * [backup-simplify]: Simplify 1.0 into 1.0 0.731 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.731 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.731 * [taylor]: Taking taylor expansion of -2.0 in n 0.731 * [backup-simplify]: Simplify -2.0 into -2.0 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.731 * [taylor]: Taking taylor expansion of PI in n 0.731 * [backup-simplify]: Simplify PI into PI 0.731 * [taylor]: Taking taylor expansion of n in n 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ PI 1) into PI 0.732 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.733 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.733 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.733 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.734 * [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)))) 0.735 * [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))))) 0.735 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.735 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.735 * [taylor]: Taking taylor expansion of -1 in n 0.735 * [backup-simplify]: Simplify -1 into -1 0.735 * [taylor]: Taking taylor expansion of k in n 0.735 * [backup-simplify]: Simplify k into k 0.735 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 0.735 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 0.735 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 0.736 * [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))) 0.736 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.736 * [taylor]: Taking taylor expansion of 1.0 in k 0.736 * [backup-simplify]: Simplify 1.0 into 1.0 0.736 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.736 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.736 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.736 * [taylor]: Taking taylor expansion of 0.5 in k 0.736 * [backup-simplify]: Simplify 0.5 into 0.5 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.736 * [taylor]: Taking taylor expansion of k in k 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [taylor]: Taking taylor expansion of 1.0 in k 0.737 * [backup-simplify]: Simplify 1.0 into 1.0 0.737 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.737 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.737 * [taylor]: Taking taylor expansion of -2.0 in k 0.737 * [backup-simplify]: Simplify -2.0 into -2.0 0.737 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.737 * [taylor]: Taking taylor expansion of PI in k 0.737 * [backup-simplify]: Simplify PI into PI 0.737 * [taylor]: Taking taylor expansion of n in k 0.737 * [backup-simplify]: Simplify n into n 0.737 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.737 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.737 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.738 * [backup-simplify]: Simplify (+ 1 0) into 1 0.738 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.738 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.738 * [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)))))) 0.738 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.738 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.738 * [taylor]: Taking taylor expansion of -1 in k 0.738 * [backup-simplify]: Simplify -1 into -1 0.738 * [taylor]: Taking taylor expansion of k in k 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ -1 1) into -1 0.739 * [backup-simplify]: Simplify (sqrt 0) into 0 0.739 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.740 * [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))))))) 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [backup-simplify]: Simplify 1.0 into 1.0 0.740 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.740 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.740 * [taylor]: Taking taylor expansion of 0.5 in k 0.740 * [backup-simplify]: Simplify 0.5 into 0.5 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (/ 1 1) into 1 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [backup-simplify]: Simplify 1.0 into 1.0 0.740 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.740 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.740 * [taylor]: Taking taylor expansion of -2.0 in k 0.740 * [backup-simplify]: Simplify -2.0 into -2.0 0.740 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.740 * [taylor]: Taking taylor expansion of PI in k 0.740 * [backup-simplify]: Simplify PI into PI 0.740 * [taylor]: Taking taylor expansion of n in k 0.740 * [backup-simplify]: Simplify n into n 0.740 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.740 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.740 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.741 * [backup-simplify]: Simplify (+ 1 0) into 1 0.741 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.741 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.741 * [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)))))) 0.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.741 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.741 * [taylor]: Taking taylor expansion of -1 in k 0.741 * [backup-simplify]: Simplify -1 into -1 0.741 * [taylor]: Taking taylor expansion of k in k 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (/ -1 1) into -1 0.742 * [backup-simplify]: Simplify (sqrt 0) into 0 0.743 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.743 * [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))))))) 0.743 * [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))))))) 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.743 * [taylor]: Taking taylor expansion of +nan.0 in n 0.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.743 * [taylor]: Taking taylor expansion of 0.5 in n 0.743 * [backup-simplify]: Simplify 0.5 into 0.5 0.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.743 * [taylor]: Taking taylor expansion of k in n 0.743 * [backup-simplify]: Simplify k into k 0.743 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.743 * [taylor]: Taking taylor expansion of 1.0 in n 0.743 * [backup-simplify]: Simplify 1.0 into 1.0 0.743 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.743 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.743 * [taylor]: Taking taylor expansion of -2.0 in n 0.743 * [backup-simplify]: Simplify -2.0 into -2.0 0.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.743 * [taylor]: Taking taylor expansion of PI in n 0.743 * [backup-simplify]: Simplify PI into PI 0.743 * [taylor]: Taking taylor expansion of n in n 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (/ PI 1) into PI 0.744 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.745 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.745 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.746 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.747 * [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)))) 0.748 * [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))))) 0.749 * [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)))))) 0.749 * [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)))))) 0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.752 * [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)))))))) 0.752 * [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)))))))) 0.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.753 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.753 * [taylor]: Taking taylor expansion of +nan.0 in n 0.753 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.753 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.753 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.753 * [taylor]: Taking taylor expansion of 0.5 in n 0.753 * [backup-simplify]: Simplify 0.5 into 0.5 0.753 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.753 * [taylor]: Taking taylor expansion of k in n 0.753 * [backup-simplify]: Simplify k into k 0.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.753 * [taylor]: Taking taylor expansion of 1.0 in n 0.753 * [backup-simplify]: Simplify 1.0 into 1.0 0.753 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.753 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.753 * [taylor]: Taking taylor expansion of -2.0 in n 0.753 * [backup-simplify]: Simplify -2.0 into -2.0 0.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.753 * [taylor]: Taking taylor expansion of PI in n 0.753 * [backup-simplify]: Simplify PI into PI 0.753 * [taylor]: Taking taylor expansion of n in n 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ PI 1) into PI 0.754 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.754 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.754 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.756 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.756 * [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)))) 0.757 * [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))))) 0.758 * [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)))))) 0.759 * [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))))))) 0.759 * [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))))))) 0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.763 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 0.765 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.771 * [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)))))))) 0.771 * [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)))))))) 0.771 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.771 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.771 * [taylor]: Taking taylor expansion of +nan.0 in n 0.771 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.771 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.771 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.771 * [taylor]: Taking taylor expansion of 0.5 in n 0.771 * [backup-simplify]: Simplify 0.5 into 0.5 0.771 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.771 * [taylor]: Taking taylor expansion of k in n 0.771 * [backup-simplify]: Simplify k into k 0.771 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.771 * [taylor]: Taking taylor expansion of 1.0 in n 0.771 * [backup-simplify]: Simplify 1.0 into 1.0 0.771 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.771 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.771 * [taylor]: Taking taylor expansion of -2.0 in n 0.771 * [backup-simplify]: Simplify -2.0 into -2.0 0.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.772 * [taylor]: Taking taylor expansion of PI in n 0.772 * [backup-simplify]: Simplify PI into PI 0.772 * [taylor]: Taking taylor expansion of n in n 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (/ PI 1) into PI 0.772 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.773 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.773 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.774 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.775 * [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)))) 0.776 * [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))))) 0.776 * [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)))))) 0.777 * [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))))))) 0.778 * [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))))))) 0.781 * [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)))))))))))) 0.781 * * * [progress]: simplifying candidates 0.783 * [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 (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 0.784 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0)) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ h2 h0)) (pow (* (* h0 h4) h3) (/ h1 h0)) (pow (* (* h0 h4) h3) (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0)))) (pow (* (* h0 h4) h3) (sqrt (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1)) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) 1) (pow (* (* h0 h4) h3) (- h2 h1)) (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (exp (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (- (log h2) (log (sqrt h1))) (log (/ h2 (sqrt h1))) (exp (/ h2 (sqrt h1))) (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1))) (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (- h2) (- (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h2) (cbrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h2) (sqrt (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h1)) (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1))) (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h2 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 1) (/ h2 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h2) (/ h2 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (sqrt h1))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h1))) (/ h2 1) (/ (sqrt h1) (cbrt h2)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) h2) (* (* h0 h4) h3) (* (* h0 h4) h3) (+ (+ (log h0) (log h4)) (log h3)) (+ (log (* h0 h4)) (log h3)) (log (* (* h0 h4) h3)) (exp (* (* h0 h4) h3)) (* (* (* (* h0 h0) h0) (* (* h4 h4) h4)) (* (* h3 h3) h3)) (* (* (* (* h0 h4) (* h0 h4)) (* h0 h4)) (* (* h3 h3) h3)) (* (cbrt (* (* h0 h4) h3)) (cbrt (* (* h0 h4) h3))) (cbrt (* (* h0 h4) h3)) (* (* (* (* h0 h4) h3) (* (* h0 h4) h3)) (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (* (* h0 h4) (* (cbrt h3) (cbrt h3))) (* (* h0 h4) (sqrt h3)) (* (* h0 h4) 1) (* h4 h3) (+ (- (log h2) (log (sqrt h1))) (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (* (log (* (* h0 h4) 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)))))))))))) 0.793 * * [simplify]: iteration 0 : 950 enodes (cost 1461 ) 0.809 * * [simplify]: iteration 1 : 3924 enodes (cost 1358 ) 0.871 * * [simplify]: iteration 2 : 5002 enodes (cost 1344 ) 0.877 * * * [progress]: adding candidates to table 1.275 * * [progress]: iteration 2 / 4 1.275 * * * [progress]: picking best candidate 1.305 * * * * [pick]: Picked # 1.305 * * * [progress]: localizing error 1.320 * * * [progress]: generating rewritten candidates 1.320 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.345 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.372 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.378 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.406 * * * [progress]: generating series expansions 1.406 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.407 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 1.407 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.407 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.407 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.407 * [taylor]: Taking taylor expansion of 0.25 in k 1.407 * [backup-simplify]: Simplify 0.25 into 0.25 1.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.407 * [taylor]: Taking taylor expansion of 1.0 in k 1.407 * [backup-simplify]: Simplify 1.0 into 1.0 1.407 * [taylor]: Taking taylor expansion of k in k 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.407 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.407 * [taylor]: Taking taylor expansion of 2.0 in k 1.407 * [backup-simplify]: Simplify 2.0 into 2.0 1.407 * [taylor]: Taking taylor expansion of (* n PI) in k 1.407 * [taylor]: Taking taylor expansion of n in k 1.407 * [backup-simplify]: Simplify n into n 1.407 * [taylor]: Taking taylor expansion of PI in k 1.407 * [backup-simplify]: Simplify PI into PI 1.407 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.407 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.407 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.407 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.408 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 1.408 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 1.408 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 1.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.408 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.408 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.408 * [taylor]: Taking taylor expansion of 0.25 in n 1.408 * [backup-simplify]: Simplify 0.25 into 0.25 1.408 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.408 * [taylor]: Taking taylor expansion of 1.0 in n 1.408 * [backup-simplify]: Simplify 1.0 into 1.0 1.408 * [taylor]: Taking taylor expansion of k in n 1.408 * [backup-simplify]: Simplify k into k 1.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.408 * [taylor]: Taking taylor expansion of 2.0 in n 1.408 * [backup-simplify]: Simplify 2.0 into 2.0 1.408 * [taylor]: Taking taylor expansion of (* n PI) in n 1.408 * [taylor]: Taking taylor expansion of n in n 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [taylor]: Taking taylor expansion of PI in n 1.408 * [backup-simplify]: Simplify PI into PI 1.409 * [backup-simplify]: Simplify (* 0 PI) into 0 1.409 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.410 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.411 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.416 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.416 * [backup-simplify]: Simplify (- k) into (- k) 1.416 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.416 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.417 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.418 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.418 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.418 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.418 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.418 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.418 * [taylor]: Taking taylor expansion of 0.25 in n 1.418 * [backup-simplify]: Simplify 0.25 into 0.25 1.418 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.418 * [taylor]: Taking taylor expansion of 1.0 in n 1.418 * [backup-simplify]: Simplify 1.0 into 1.0 1.418 * [taylor]: Taking taylor expansion of k in n 1.418 * [backup-simplify]: Simplify k into k 1.418 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.418 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.419 * [taylor]: Taking taylor expansion of 2.0 in n 1.419 * [backup-simplify]: Simplify 2.0 into 2.0 1.419 * [taylor]: Taking taylor expansion of (* n PI) in n 1.419 * [taylor]: Taking taylor expansion of n in n 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [taylor]: Taking taylor expansion of PI in n 1.419 * [backup-simplify]: Simplify PI into PI 1.419 * [backup-simplify]: Simplify (* 0 PI) into 0 1.419 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.421 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.422 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.422 * [backup-simplify]: Simplify (- k) into (- k) 1.422 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.422 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.422 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.423 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.424 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.424 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.424 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.424 * [taylor]: Taking taylor expansion of 0.25 in k 1.424 * [backup-simplify]: Simplify 0.25 into 0.25 1.424 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.424 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.424 * [taylor]: Taking taylor expansion of 1.0 in k 1.424 * [backup-simplify]: Simplify 1.0 into 1.0 1.424 * [taylor]: Taking taylor expansion of k in k 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.424 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.424 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.424 * [taylor]: Taking taylor expansion of 2.0 in k 1.424 * [backup-simplify]: Simplify 2.0 into 2.0 1.424 * [taylor]: Taking taylor expansion of PI in k 1.424 * [backup-simplify]: Simplify PI into PI 1.425 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.425 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.425 * [taylor]: Taking taylor expansion of (log n) in k 1.425 * [taylor]: Taking taylor expansion of n in k 1.425 * [backup-simplify]: Simplify n into n 1.425 * [backup-simplify]: Simplify (log n) into (log n) 1.426 * [backup-simplify]: Simplify (- 0) into 0 1.426 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.427 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.427 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.428 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 1.429 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.429 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.430 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.432 * [backup-simplify]: Simplify (- 0) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 1.433 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.434 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.435 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.435 * [taylor]: Taking taylor expansion of 0 in k 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (- 1) into -1 1.438 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.439 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.440 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1.442 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.444 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.447 * [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 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.449 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.449 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.451 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.451 * [taylor]: Taking taylor expansion of 0 in k 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.453 * [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 1.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (- 0) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.458 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.460 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.464 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.470 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.470 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 1.470 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.470 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.470 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.470 * [taylor]: Taking taylor expansion of 0.25 in k 1.470 * [backup-simplify]: Simplify 0.25 into 0.25 1.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.471 * [taylor]: Taking taylor expansion of 1.0 in k 1.471 * [backup-simplify]: Simplify 1.0 into 1.0 1.471 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.471 * [taylor]: Taking taylor expansion of k in k 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (/ 1 1) into 1 1.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.471 * [taylor]: Taking taylor expansion of 2.0 in k 1.471 * [backup-simplify]: Simplify 2.0 into 2.0 1.471 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.471 * [taylor]: Taking taylor expansion of PI in k 1.471 * [backup-simplify]: Simplify PI into PI 1.471 * [taylor]: Taking taylor expansion of n in k 1.471 * [backup-simplify]: Simplify n into n 1.471 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.471 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.471 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.471 * [backup-simplify]: Simplify (- 1) into -1 1.472 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.472 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 1.472 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 1.472 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.472 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.472 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.472 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.472 * [taylor]: Taking taylor expansion of 0.25 in n 1.472 * [backup-simplify]: Simplify 0.25 into 0.25 1.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.472 * [taylor]: Taking taylor expansion of 1.0 in n 1.472 * [backup-simplify]: Simplify 1.0 into 1.0 1.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.472 * [taylor]: Taking taylor expansion of k in n 1.472 * [backup-simplify]: Simplify k into k 1.472 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.472 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.472 * [taylor]: Taking taylor expansion of 2.0 in n 1.472 * [backup-simplify]: Simplify 2.0 into 2.0 1.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.472 * [taylor]: Taking taylor expansion of PI in n 1.472 * [backup-simplify]: Simplify PI into PI 1.472 * [taylor]: Taking taylor expansion of n in n 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (/ PI 1) into PI 1.473 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.474 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.474 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.474 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.474 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.475 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.476 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.476 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.476 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.476 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.477 * [taylor]: Taking taylor expansion of 0.25 in n 1.477 * [backup-simplify]: Simplify 0.25 into 0.25 1.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.477 * [taylor]: Taking taylor expansion of 1.0 in n 1.477 * [backup-simplify]: Simplify 1.0 into 1.0 1.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.477 * [taylor]: Taking taylor expansion of k in n 1.477 * [backup-simplify]: Simplify k into k 1.477 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.477 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.477 * [taylor]: Taking taylor expansion of 2.0 in n 1.477 * [backup-simplify]: Simplify 2.0 into 2.0 1.477 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.477 * [taylor]: Taking taylor expansion of PI in n 1.477 * [backup-simplify]: Simplify PI into PI 1.477 * [taylor]: Taking taylor expansion of n in n 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (/ PI 1) into PI 1.477 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.478 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.478 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.478 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.478 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.480 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.480 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.481 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.481 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.481 * [taylor]: Taking taylor expansion of 0.25 in k 1.481 * [backup-simplify]: Simplify 0.25 into 0.25 1.481 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.481 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.481 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.481 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.481 * [taylor]: Taking taylor expansion of 2.0 in k 1.481 * [backup-simplify]: Simplify 2.0 into 2.0 1.481 * [taylor]: Taking taylor expansion of PI in k 1.481 * [backup-simplify]: Simplify PI into PI 1.481 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.482 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.482 * [taylor]: Taking taylor expansion of (log n) in k 1.482 * [taylor]: Taking taylor expansion of n in k 1.482 * [backup-simplify]: Simplify n into n 1.482 * [backup-simplify]: Simplify (log n) into (log n) 1.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.482 * [taylor]: Taking taylor expansion of 1.0 in k 1.482 * [backup-simplify]: Simplify 1.0 into 1.0 1.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.482 * [taylor]: Taking taylor expansion of k in k 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.482 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.483 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.483 * [backup-simplify]: Simplify (- 1) into -1 1.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.484 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.485 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 1.485 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.486 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.490 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.490 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.491 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.492 * [taylor]: Taking taylor expansion of 0 in k 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.495 * [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 1.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.496 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.496 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.497 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.499 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.499 * [taylor]: Taking taylor expansion of 0 in k 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.503 * [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 1.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.504 * [backup-simplify]: Simplify (- 0) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.506 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.507 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.514 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 1.514 * [taylor]: Taking taylor expansion of 0 in k 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.515 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 1.515 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.515 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.515 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.515 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.515 * [taylor]: Taking taylor expansion of 0.25 in k 1.515 * [backup-simplify]: Simplify 0.25 into 0.25 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.515 * [taylor]: Taking taylor expansion of k in k 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [taylor]: Taking taylor expansion of 1.0 in k 1.516 * [backup-simplify]: Simplify 1.0 into 1.0 1.516 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.516 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.516 * [taylor]: Taking taylor expansion of -2.0 in k 1.516 * [backup-simplify]: Simplify -2.0 into -2.0 1.516 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.516 * [taylor]: Taking taylor expansion of PI in k 1.516 * [backup-simplify]: Simplify PI into PI 1.516 * [taylor]: Taking taylor expansion of n in k 1.516 * [backup-simplify]: Simplify n into n 1.516 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.516 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.516 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.516 * [backup-simplify]: Simplify (+ 1 0) into 1 1.517 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.517 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 1.517 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.517 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.517 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.517 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.517 * [taylor]: Taking taylor expansion of 0.25 in n 1.517 * [backup-simplify]: Simplify 0.25 into 0.25 1.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.517 * [taylor]: Taking taylor expansion of k in n 1.517 * [backup-simplify]: Simplify k into k 1.517 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.517 * [taylor]: Taking taylor expansion of 1.0 in n 1.517 * [backup-simplify]: Simplify 1.0 into 1.0 1.517 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.517 * [taylor]: Taking taylor expansion of -2.0 in n 1.517 * [backup-simplify]: Simplify -2.0 into -2.0 1.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.517 * [taylor]: Taking taylor expansion of PI in n 1.517 * [backup-simplify]: Simplify PI into PI 1.517 * [taylor]: Taking taylor expansion of n in n 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (/ PI 1) into PI 1.518 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.518 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.518 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.518 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.519 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.520 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.521 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.521 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.521 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.521 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.521 * [taylor]: Taking taylor expansion of 0.25 in n 1.521 * [backup-simplify]: Simplify 0.25 into 0.25 1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.521 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.521 * [taylor]: Taking taylor expansion of k in n 1.521 * [backup-simplify]: Simplify k into k 1.521 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.521 * [taylor]: Taking taylor expansion of 1.0 in n 1.521 * [backup-simplify]: Simplify 1.0 into 1.0 1.521 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.521 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.521 * [taylor]: Taking taylor expansion of -2.0 in n 1.521 * [backup-simplify]: Simplify -2.0 into -2.0 1.521 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.521 * [taylor]: Taking taylor expansion of PI in n 1.521 * [backup-simplify]: Simplify PI into PI 1.521 * [taylor]: Taking taylor expansion of n in n 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (/ PI 1) into PI 1.522 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.522 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.522 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.523 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.523 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.524 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.525 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.525 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.525 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.525 * [taylor]: Taking taylor expansion of 0.25 in k 1.525 * [backup-simplify]: Simplify 0.25 into 0.25 1.525 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.525 * [taylor]: Taking taylor expansion of k in k 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (/ 1 1) into 1 1.526 * [taylor]: Taking taylor expansion of 1.0 in k 1.526 * [backup-simplify]: Simplify 1.0 into 1.0 1.526 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.526 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.526 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.526 * [taylor]: Taking taylor expansion of -2.0 in k 1.526 * [backup-simplify]: Simplify -2.0 into -2.0 1.526 * [taylor]: Taking taylor expansion of PI in k 1.526 * [backup-simplify]: Simplify PI into PI 1.526 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.527 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.527 * [taylor]: Taking taylor expansion of (log n) in k 1.527 * [taylor]: Taking taylor expansion of n in k 1.527 * [backup-simplify]: Simplify n into n 1.527 * [backup-simplify]: Simplify (log n) into (log n) 1.527 * [backup-simplify]: Simplify (+ 1 0) into 1 1.527 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.528 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.528 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.529 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 1.530 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.530 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.534 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.535 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.536 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.536 * [taylor]: Taking taylor expansion of 0 in k 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.539 * [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 1.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.541 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.541 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.543 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.543 * [taylor]: Taking taylor expansion of 0 in k 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.547 * [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 1.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.550 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.552 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 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 1.552 * [taylor]: Taking taylor expansion of 0 in k 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.553 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.553 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 1.553 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.553 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.553 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.553 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.553 * [taylor]: Taking taylor expansion of 0.25 in k 1.553 * [backup-simplify]: Simplify 0.25 into 0.25 1.553 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.553 * [taylor]: Taking taylor expansion of 1.0 in k 1.553 * [backup-simplify]: Simplify 1.0 into 1.0 1.553 * [taylor]: Taking taylor expansion of k in k 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.553 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.553 * [taylor]: Taking taylor expansion of 2.0 in k 1.553 * [backup-simplify]: Simplify 2.0 into 2.0 1.553 * [taylor]: Taking taylor expansion of (* n PI) in k 1.553 * [taylor]: Taking taylor expansion of n in k 1.554 * [backup-simplify]: Simplify n into n 1.554 * [taylor]: Taking taylor expansion of PI in k 1.554 * [backup-simplify]: Simplify PI into PI 1.554 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.554 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.554 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.554 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.554 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 1.554 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 1.555 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 1.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.555 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.555 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.555 * [taylor]: Taking taylor expansion of 0.25 in n 1.555 * [backup-simplify]: Simplify 0.25 into 0.25 1.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.555 * [taylor]: Taking taylor expansion of 1.0 in n 1.555 * [backup-simplify]: Simplify 1.0 into 1.0 1.555 * [taylor]: Taking taylor expansion of k in n 1.555 * [backup-simplify]: Simplify k into k 1.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.555 * [taylor]: Taking taylor expansion of 2.0 in n 1.555 * [backup-simplify]: Simplify 2.0 into 2.0 1.555 * [taylor]: Taking taylor expansion of (* n PI) in n 1.555 * [taylor]: Taking taylor expansion of n in n 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [taylor]: Taking taylor expansion of PI in n 1.555 * [backup-simplify]: Simplify PI into PI 1.555 * [backup-simplify]: Simplify (* 0 PI) into 0 1.555 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.557 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.558 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.558 * [backup-simplify]: Simplify (- k) into (- k) 1.558 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.558 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.559 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.559 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.560 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.560 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.560 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.560 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.560 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.560 * [taylor]: Taking taylor expansion of 0.25 in n 1.560 * [backup-simplify]: Simplify 0.25 into 0.25 1.561 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.561 * [taylor]: Taking taylor expansion of 1.0 in n 1.561 * [backup-simplify]: Simplify 1.0 into 1.0 1.561 * [taylor]: Taking taylor expansion of k in n 1.561 * [backup-simplify]: Simplify k into k 1.561 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.561 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.561 * [taylor]: Taking taylor expansion of 2.0 in n 1.561 * [backup-simplify]: Simplify 2.0 into 2.0 1.561 * [taylor]: Taking taylor expansion of (* n PI) in n 1.561 * [taylor]: Taking taylor expansion of n in n 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [taylor]: Taking taylor expansion of PI in n 1.561 * [backup-simplify]: Simplify PI into PI 1.561 * [backup-simplify]: Simplify (* 0 PI) into 0 1.561 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.563 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.564 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.564 * [backup-simplify]: Simplify (- k) into (- k) 1.564 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.564 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.565 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.566 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.566 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.566 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.566 * [taylor]: Taking taylor expansion of 0.25 in k 1.566 * [backup-simplify]: Simplify 0.25 into 0.25 1.566 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 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)) (log n)) in k 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 1.567 * [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 * [taylor]: Taking taylor expansion of (log n) in k 1.567 * [taylor]: Taking taylor expansion of n in k 1.567 * [backup-simplify]: Simplify n into n 1.567 * [backup-simplify]: Simplify (log n) into (log n) 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.569 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.569 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.570 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 1.571 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.571 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.573 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.574 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 1.575 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.576 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.577 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.577 * [taylor]: Taking taylor expansion of 0 in k 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (- 1) into -1 1.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.581 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.582 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1.584 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.586 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.589 * [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 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.591 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.593 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.593 * [taylor]: Taking taylor expansion of 0 in k 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.595 * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.596 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.599 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.602 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.611 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.616 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.617 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 1.617 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.617 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.617 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.617 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.617 * [taylor]: Taking taylor expansion of 0.25 in k 1.617 * [backup-simplify]: Simplify 0.25 into 0.25 1.617 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.617 * [taylor]: Taking taylor expansion of 1.0 in k 1.617 * [backup-simplify]: Simplify 1.0 into 1.0 1.617 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.617 * [taylor]: Taking taylor expansion of k in k 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.618 * [taylor]: Taking taylor expansion of 2.0 in k 1.618 * [backup-simplify]: Simplify 2.0 into 2.0 1.618 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.618 * [taylor]: Taking taylor expansion of PI in k 1.618 * [backup-simplify]: Simplify PI into PI 1.618 * [taylor]: Taking taylor expansion of n in k 1.618 * [backup-simplify]: Simplify n into n 1.618 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.618 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.618 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.618 * [backup-simplify]: Simplify (- 1) into -1 1.618 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.619 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 1.619 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 1.619 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.619 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.619 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.619 * [taylor]: Taking taylor expansion of 0.25 in n 1.619 * [backup-simplify]: Simplify 0.25 into 0.25 1.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.619 * [taylor]: Taking taylor expansion of 1.0 in n 1.619 * [backup-simplify]: Simplify 1.0 into 1.0 1.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.619 * [taylor]: Taking taylor expansion of k in n 1.619 * [backup-simplify]: Simplify k into k 1.619 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.619 * [taylor]: Taking taylor expansion of 2.0 in n 1.619 * [backup-simplify]: Simplify 2.0 into 2.0 1.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.619 * [taylor]: Taking taylor expansion of PI in n 1.619 * [backup-simplify]: Simplify PI into PI 1.619 * [taylor]: Taking taylor expansion of n in n 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (/ PI 1) into PI 1.620 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.620 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.620 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.621 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.621 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.622 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.623 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.623 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.623 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.623 * [taylor]: Taking taylor expansion of 0.25 in n 1.623 * [backup-simplify]: Simplify 0.25 into 0.25 1.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [backup-simplify]: Simplify 1.0 into 1.0 1.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.623 * [taylor]: Taking taylor expansion of k in n 1.623 * [backup-simplify]: Simplify k into k 1.623 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.623 * [taylor]: Taking taylor expansion of 2.0 in n 1.623 * [backup-simplify]: Simplify 2.0 into 2.0 1.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.623 * [taylor]: Taking taylor expansion of PI in n 1.623 * [backup-simplify]: Simplify PI into PI 1.623 * [taylor]: Taking taylor expansion of n in n 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ PI 1) into PI 1.624 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.624 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.625 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.625 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.625 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.626 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.626 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.627 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.627 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.627 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.627 * [taylor]: Taking taylor expansion of 0.25 in k 1.627 * [backup-simplify]: Simplify 0.25 into 0.25 1.627 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.627 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.627 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.627 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.627 * [taylor]: Taking taylor expansion of 2.0 in k 1.627 * [backup-simplify]: Simplify 2.0 into 2.0 1.627 * [taylor]: Taking taylor expansion of PI in k 1.627 * [backup-simplify]: Simplify PI into PI 1.628 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.628 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.628 * [taylor]: Taking taylor expansion of (log n) in k 1.628 * [taylor]: Taking taylor expansion of n in k 1.628 * [backup-simplify]: Simplify n into n 1.628 * [backup-simplify]: Simplify (log n) into (log n) 1.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.628 * [taylor]: Taking taylor expansion of 1.0 in k 1.629 * [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 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.629 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.630 * [backup-simplify]: Simplify (- 1) into -1 1.630 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.631 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.631 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 1.632 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.633 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.635 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.637 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.637 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.639 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.639 * [taylor]: Taking taylor expansion of 0 in k 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.642 * [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 1.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.642 * [backup-simplify]: Simplify (- 0) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.643 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.644 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.646 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.646 * [taylor]: Taking taylor expansion of 0 in k 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.650 * [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 1.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.652 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.653 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.655 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 1.655 * [taylor]: Taking taylor expansion of 0 in k 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.656 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 1.656 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.656 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.656 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.656 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.656 * [taylor]: Taking taylor expansion of 0.25 in k 1.656 * [backup-simplify]: Simplify 0.25 into 0.25 1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.657 * [taylor]: Taking taylor expansion of k in k 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [taylor]: Taking taylor expansion of 1.0 in k 1.657 * [backup-simplify]: Simplify 1.0 into 1.0 1.657 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.657 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.657 * [taylor]: Taking taylor expansion of -2.0 in k 1.657 * [backup-simplify]: Simplify -2.0 into -2.0 1.657 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.657 * [taylor]: Taking taylor expansion of PI in k 1.657 * [backup-simplify]: Simplify PI into PI 1.657 * [taylor]: Taking taylor expansion of n in k 1.657 * [backup-simplify]: Simplify n into n 1.657 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.657 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.657 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.657 * [backup-simplify]: Simplify (+ 1 0) into 1 1.658 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.658 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 1.658 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.658 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.658 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.658 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.658 * [taylor]: Taking taylor expansion of 0.25 in n 1.658 * [backup-simplify]: Simplify 0.25 into 0.25 1.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.658 * [taylor]: Taking taylor expansion of k in n 1.658 * [backup-simplify]: Simplify k into k 1.658 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.658 * [taylor]: Taking taylor expansion of 1.0 in n 1.658 * [backup-simplify]: Simplify 1.0 into 1.0 1.658 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.658 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.658 * [taylor]: Taking taylor expansion of -2.0 in n 1.658 * [backup-simplify]: Simplify -2.0 into -2.0 1.658 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.658 * [taylor]: Taking taylor expansion of PI in n 1.658 * [backup-simplify]: Simplify PI into PI 1.658 * [taylor]: Taking taylor expansion of n in n 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (/ PI 1) into PI 1.659 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.660 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.660 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.660 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.661 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.662 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.662 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.662 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.662 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.662 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.662 * [taylor]: Taking taylor expansion of 0.25 in n 1.662 * [backup-simplify]: Simplify 0.25 into 0.25 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.662 * [taylor]: Taking taylor expansion of k in n 1.662 * [backup-simplify]: Simplify k into k 1.663 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.663 * [taylor]: Taking taylor expansion of 1.0 in n 1.663 * [backup-simplify]: Simplify 1.0 into 1.0 1.663 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.663 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.663 * [taylor]: Taking taylor expansion of -2.0 in n 1.663 * [backup-simplify]: Simplify -2.0 into -2.0 1.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.663 * [taylor]: Taking taylor expansion of PI in n 1.663 * [backup-simplify]: Simplify PI into PI 1.663 * [taylor]: Taking taylor expansion of n in n 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (/ PI 1) into PI 1.663 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.664 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.664 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.664 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.665 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.666 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.666 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.667 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.667 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.667 * [taylor]: Taking taylor expansion of 0.25 in k 1.667 * [backup-simplify]: Simplify 0.25 into 0.25 1.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.667 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.667 * [taylor]: Taking taylor expansion of k in k 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (/ 1 1) into 1 1.667 * [taylor]: Taking taylor expansion of 1.0 in k 1.667 * [backup-simplify]: Simplify 1.0 into 1.0 1.667 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.667 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.667 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.667 * [taylor]: Taking taylor expansion of -2.0 in k 1.667 * [backup-simplify]: Simplify -2.0 into -2.0 1.667 * [taylor]: Taking taylor expansion of PI in k 1.667 * [backup-simplify]: Simplify PI into PI 1.667 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.668 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.668 * [taylor]: Taking taylor expansion of (log n) in k 1.668 * [taylor]: Taking taylor expansion of n in k 1.668 * [backup-simplify]: Simplify n into n 1.668 * [backup-simplify]: Simplify (log n) into (log n) 1.668 * [backup-simplify]: Simplify (+ 1 0) into 1 1.668 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.669 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.670 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.670 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 1.671 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.672 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.676 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.677 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.677 * [taylor]: Taking taylor expansion of 0 in k 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.680 * [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 1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.683 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.684 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.684 * [taylor]: Taking taylor expansion of 0 in k 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.688 * [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 1.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.690 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.690 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.692 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.693 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 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 1.693 * [taylor]: Taking taylor expansion of 0 in k 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.694 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.694 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.694 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.694 * [taylor]: Taking taylor expansion of 1.0 in k 1.694 * [backup-simplify]: Simplify 1.0 into 1.0 1.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.694 * [taylor]: Taking taylor expansion of k in k 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (/ 1 1) into 1 1.695 * [backup-simplify]: Simplify (sqrt 0) into 0 1.696 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.696 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 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)) 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 1.696 * [backup-simplify]: Simplify (sqrt 0) into 0 1.697 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.697 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.698 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.702 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.702 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.712 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.712 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.713 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.713 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.713 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.713 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.713 * [taylor]: Taking taylor expansion of 1.0 in k 1.713 * [backup-simplify]: Simplify 1.0 into 1.0 1.713 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.713 * [taylor]: Taking taylor expansion of k in k 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (sqrt 0) into 0 1.714 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.714 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.714 * [taylor]: Taking taylor expansion of 1.0 in k 1.714 * [backup-simplify]: Simplify 1.0 into 1.0 1.714 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.714 * [taylor]: Taking taylor expansion of k in k 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (sqrt 0) into 0 1.715 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.715 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.716 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.718 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.719 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.719 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.723 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.723 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.724 * [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)))))))) 1.724 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.724 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.724 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.724 * [taylor]: Taking taylor expansion of 1.0 in k 1.724 * [backup-simplify]: Simplify 1.0 into 1.0 1.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.724 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.724 * [taylor]: Taking taylor expansion of -1 in k 1.724 * [backup-simplify]: Simplify -1 into -1 1.724 * [taylor]: Taking taylor expansion of k in k 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (/ -1 1) into -1 1.725 * [backup-simplify]: Simplify (sqrt 0) into 0 1.726 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.726 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.726 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.726 * [taylor]: Taking taylor expansion of 1.0 in k 1.726 * [backup-simplify]: Simplify 1.0 into 1.0 1.726 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.726 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.726 * [taylor]: Taking taylor expansion of -1 in k 1.726 * [backup-simplify]: Simplify -1 into -1 1.726 * [taylor]: Taking taylor expansion of k in k 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (/ -1 1) into -1 1.727 * [backup-simplify]: Simplify (sqrt 0) into 0 1.727 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.728 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.728 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.732 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.732 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.737 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.737 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.738 * [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))))) 1.738 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.738 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.738 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.738 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.738 * [taylor]: Taking taylor expansion of 2.0 in n 1.738 * [backup-simplify]: Simplify 2.0 into 2.0 1.738 * [taylor]: Taking taylor expansion of (* n PI) in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [taylor]: Taking taylor expansion of PI in n 1.738 * [backup-simplify]: Simplify PI into PI 1.738 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.738 * [taylor]: Taking taylor expansion of 2.0 in n 1.738 * [backup-simplify]: Simplify 2.0 into 2.0 1.738 * [taylor]: Taking taylor expansion of (* n PI) in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [taylor]: Taking taylor expansion of PI in n 1.738 * [backup-simplify]: Simplify PI into PI 1.739 * [backup-simplify]: Simplify (* 0 PI) into 0 1.739 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.741 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.741 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.742 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.743 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.745 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.746 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.748 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.750 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.751 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 1.751 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.751 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.751 * [taylor]: Taking taylor expansion of 2.0 in n 1.751 * [backup-simplify]: Simplify 2.0 into 2.0 1.751 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.751 * [taylor]: Taking taylor expansion of PI in n 1.751 * [backup-simplify]: Simplify PI into PI 1.751 * [taylor]: Taking taylor expansion of n in n 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (/ PI 1) into PI 1.751 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.751 * [taylor]: Taking taylor expansion of 2.0 in n 1.751 * [backup-simplify]: Simplify 2.0 into 2.0 1.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.752 * [taylor]: Taking taylor expansion of PI in n 1.752 * [backup-simplify]: Simplify PI into PI 1.752 * [taylor]: Taking taylor expansion of n in n 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (/ PI 1) into PI 1.752 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.752 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.755 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 1.761 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 1.761 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.761 * [taylor]: Taking taylor expansion of -2.0 in n 1.761 * [backup-simplify]: Simplify -2.0 into -2.0 1.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.761 * [taylor]: Taking taylor expansion of PI in n 1.761 * [backup-simplify]: Simplify PI into PI 1.761 * [taylor]: Taking taylor expansion of n in n 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (/ PI 1) into PI 1.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.761 * [taylor]: Taking taylor expansion of -2.0 in n 1.762 * [backup-simplify]: Simplify -2.0 into -2.0 1.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.762 * [taylor]: Taking taylor expansion of PI in n 1.762 * [backup-simplify]: Simplify PI into PI 1.762 * [taylor]: Taking taylor expansion of n in n 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (/ PI 1) into PI 1.762 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.762 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.763 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.770 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 1.771 * * * [progress]: simplifying candidates 1.774 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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 (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.775 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h4)) (log h3)) (/ (/ (- h2 h1) h0) 2)) (* (+ (log (* h0 h4)) (log h3)) (/ (/ (- h2 h1) h0) 2)) (* (log (* (* h0 h4) h3)) (/ (/ (- h2 h1) h0) 2)) (* (log (* (* h0 h4) h3)) (/ (/ (- h2 h1) h0) 2)) (* 1 (/ (/ (- h2 h1) h0) 2)) (* 1 (/ (/ (- h2 h1) h0) 2)) (* 1 (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ h2 h0) 2)) (pow (* (* h0 h4) h3) (/ (/ h1 h0) 2)) (pow (* (* h0 h4) h3) (* (cbrt (/ (/ (- h2 h1) h0) 2)) (cbrt (/ (/ (- h2 h1) h0) 2)))) (pow (* (* h0 h4) h3) (sqrt (/ (/ (- h2 h1) h0) 2))) (pow (* (* h0 h4) h3) (/ (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0))) 1)) (pow (* (* h0 h4) h3) (/ (sqrt (/ (- h2 h1) h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (sqrt (/ (- h2 h1) h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (sqrt (/ (- h2 h1) h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1) 1)) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) 1) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 1) 1)) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) 1) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 1) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt 2))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (- h2 h1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (- h2 h1) 1)) (pow (* (* h0 h4) h3) 1) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (pow h3 (/ (/ (- h2 h1) h0) 2)) (log (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (exp (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (cbrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (cbrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)))) (cbrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (* (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (sqrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (sqrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (pow (* (* h0 h4) h3) (/ (/ (/ (- h2 h1) h0) 2) 2)) (pow (* (* h0 h4) h3) (/ (/ (/ (- h2 h1) h0) 2) 2)) (* (+ (+ (log h0) (log h4)) (log h3)) (/ (/ (- h2 h1) h0) 2)) (* (+ (log (* h0 h4)) (log h3)) (/ (/ (- h2 h1) h0) 2)) (* (log (* (* h0 h4) h3)) (/ (/ (- h2 h1) h0) 2)) (* (log (* (* h0 h4) h3)) (/ (/ (- h2 h1) h0) 2)) (* 1 (/ (/ (- h2 h1) h0) 2)) (* 1 (/ (/ (- h2 h1) h0) 2)) (* 1 (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ h2 h0) 2)) (pow (* (* h0 h4) h3) (/ (/ h1 h0) 2)) (pow (* (* h0 h4) h3) (* (cbrt (/ (/ (- h2 h1) h0) 2)) (cbrt (/ (/ (- h2 h1) h0) 2)))) (pow (* (* h0 h4) h3) (sqrt (/ (/ (- h2 h1) h0) 2))) (pow (* (* h0 h4) h3) (/ (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0))) 1)) (pow (* (* h0 h4) h3) (/ (sqrt (/ (- h2 h1) h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (sqrt (/ (- h2 h1) h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (sqrt (/ (- h2 h1) h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1) 1)) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (sqrt (- h2 h1)) 1) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 1) 1)) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ (+ (sqrt h2) (sqrt h1)) 1) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 (sqrt h0)) 1)) (pow (* (* h0 h4) h3) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (/ 1 1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (/ 1 1) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt 2))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h4) h3) (/ (- h2 h1) (sqrt 2))) (pow (* (* h0 h4) h3) (/ (- h2 h1) 1)) (pow (* (* h0 h4) h3) 1) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2)) (pow h3 (/ (/ (- h2 h1) h0) 2)) (log (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (exp (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (cbrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (cbrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)))) (cbrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (* (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (sqrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (sqrt (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (pow (* (* h0 h4) h3) (/ (/ (/ (- h2 h1) h0) 2) 2)) (pow (* (* h0 h4) h3) (/ (/ (/ (- h2 h1) h0) 2) 2)) (- (log h2) (log (sqrt h1))) (log (/ h2 (sqrt h1))) (exp (/ h2 (sqrt h1))) (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1))) (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (- h2) (- (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h2) (cbrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h2) (sqrt (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h1)) (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1))) (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h2 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 1) (/ h2 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h2) (/ h2 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (sqrt h1))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h1))) (/ h2 1) (/ (sqrt h1) (cbrt h2)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) h2) (* (* h0 h4) h3) (* (* h0 h4) h3) (+ (+ (log h0) (log h4)) (log h3)) (+ (log (* h0 h4)) (log h3)) (log (* (* h0 h4) h3)) (exp (* (* h0 h4) h3)) (* (* (* (* h0 h0) h0) (* (* h4 h4) h4)) (* (* h3 h3) h3)) (* (* (* (* h0 h4) (* h0 h4)) (* h0 h4)) (* (* h3 h3) h3)) (* (cbrt (* (* h0 h4) h3)) (cbrt (* (* h0 h4) h3))) (cbrt (* (* h0 h4) h3)) (* (* (* (* h0 h4) h3) (* (* h0 h4) h3)) (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (* (* h0 h4) (* (cbrt h3) (cbrt h3))) (* (* h0 h4) (sqrt h3)) (* (* h0 h4) 1) (* h4 h3) (- (+ (* h6 (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (+ (* h7 (* (pow h1 2) (* (log (* h0 h4)) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3))))) (* h6 (* (pow h1 2) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (pow (log h3) 2))))))) (+ (* 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)))))) (- (+ (* h6 (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (+ (* h7 (* (pow h1 2) (* (log (* h0 h4)) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3))))) (* h6 (* (pow h1 2) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (pow (log h3) 2))))))) (+ (* 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)) 1.784 * * [simplify]: iteration 0 : 859 enodes (cost 1848 ) 1.797 * * [simplify]: iteration 1 : 3384 enodes (cost 1776 ) 1.847 * * [simplify]: iteration 2 : 5001 enodes (cost 1766 ) 1.855 * * * [progress]: adding candidates to table 2.581 * * [progress]: iteration 3 / 4 2.581 * * * [progress]: picking best candidate 2.610 * * * * [pick]: Picked # 2.610 * * * [progress]: localizing error 2.624 * * * [progress]: generating rewritten candidates 2.625 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.644 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.656 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.679 * * * [progress]: generating series expansions 2.680 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.680 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.680 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.680 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.680 * [taylor]: Taking taylor expansion of 0.5 in k 2.680 * [backup-simplify]: Simplify 0.5 into 0.5 2.680 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.680 * [taylor]: Taking taylor expansion of 1.0 in k 2.680 * [backup-simplify]: Simplify 1.0 into 1.0 2.681 * [taylor]: Taking taylor expansion of k in k 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.681 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.681 * [taylor]: Taking taylor expansion of 2.0 in k 2.681 * [backup-simplify]: Simplify 2.0 into 2.0 2.681 * [taylor]: Taking taylor expansion of (* n PI) in k 2.681 * [taylor]: Taking taylor expansion of n in k 2.681 * [backup-simplify]: Simplify n into n 2.681 * [taylor]: Taking taylor expansion of PI in k 2.681 * [backup-simplify]: Simplify PI into PI 2.681 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.681 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.681 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.681 * [backup-simplify]: Simplify (- 0) into 0 2.681 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.682 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.682 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.682 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.682 * [taylor]: Taking taylor expansion of 0.5 in n 2.682 * [backup-simplify]: Simplify 0.5 into 0.5 2.682 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.682 * [taylor]: Taking taylor expansion of 1.0 in n 2.682 * [backup-simplify]: Simplify 1.0 into 1.0 2.682 * [taylor]: Taking taylor expansion of k in n 2.682 * [backup-simplify]: Simplify k into k 2.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.682 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.682 * [taylor]: Taking taylor expansion of 2.0 in n 2.682 * [backup-simplify]: Simplify 2.0 into 2.0 2.682 * [taylor]: Taking taylor expansion of (* n PI) in n 2.682 * [taylor]: Taking taylor expansion of n in n 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 1 into 1 2.682 * [taylor]: Taking taylor expansion of PI in n 2.682 * [backup-simplify]: Simplify PI into PI 2.682 * [backup-simplify]: Simplify (* 0 PI) into 0 2.683 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.684 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.685 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.685 * [backup-simplify]: Simplify (- k) into (- k) 2.685 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.685 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.686 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.687 * [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)))) 2.687 * [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))))) 2.687 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.688 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.688 * [taylor]: Taking taylor expansion of 0.5 in n 2.688 * [backup-simplify]: Simplify 0.5 into 0.5 2.688 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.688 * [taylor]: Taking taylor expansion of 1.0 in n 2.688 * [backup-simplify]: Simplify 1.0 into 1.0 2.688 * [taylor]: Taking taylor expansion of k in n 2.688 * [backup-simplify]: Simplify k into k 2.688 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.688 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.688 * [taylor]: Taking taylor expansion of 2.0 in n 2.688 * [backup-simplify]: Simplify 2.0 into 2.0 2.688 * [taylor]: Taking taylor expansion of (* n PI) in n 2.688 * [taylor]: Taking taylor expansion of n in n 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [taylor]: Taking taylor expansion of PI in n 2.688 * [backup-simplify]: Simplify PI into PI 2.688 * [backup-simplify]: Simplify (* 0 PI) into 0 2.689 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.690 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.691 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.691 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.691 * [backup-simplify]: Simplify (- k) into (- k) 2.691 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.691 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.692 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.693 * [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)))) 2.693 * [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))))) 2.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.694 * [taylor]: Taking taylor expansion of 0.5 in k 2.694 * [backup-simplify]: Simplify 0.5 into 0.5 2.694 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.694 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.694 * [taylor]: Taking taylor expansion of 1.0 in k 2.694 * [backup-simplify]: Simplify 1.0 into 1.0 2.694 * [taylor]: Taking taylor expansion of k in k 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.694 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.694 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.694 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.694 * [taylor]: Taking taylor expansion of 2.0 in k 2.694 * [backup-simplify]: Simplify 2.0 into 2.0 2.694 * [taylor]: Taking taylor expansion of PI in k 2.694 * [backup-simplify]: Simplify PI into PI 2.694 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.695 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.695 * [taylor]: Taking taylor expansion of (log n) in k 2.695 * [taylor]: Taking taylor expansion of n in k 2.695 * [backup-simplify]: Simplify n into n 2.695 * [backup-simplify]: Simplify (log n) into (log n) 2.695 * [backup-simplify]: Simplify (- 0) into 0 2.695 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.696 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.697 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.697 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.698 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.699 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.700 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.701 * [backup-simplify]: Simplify (- 0) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.701 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.703 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.703 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.704 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.704 * [taylor]: Taking taylor expansion of 0 in k 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (- 1) into -1 2.707 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.708 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.709 * [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)))) 2.711 * [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)))))) 2.713 * [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)))))) 2.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.714 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.716 * [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 2.716 * [backup-simplify]: Simplify (- 0) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.717 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.718 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.719 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.720 * [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 2.720 * [taylor]: Taking taylor expansion of 0 in k 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.723 * [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 2.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (- 0) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.725 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.729 * [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)))))) 2.732 * [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)))))) 2.738 * [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)))))) 2.739 * [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)))) 2.739 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.739 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.739 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.739 * [taylor]: Taking taylor expansion of 0.5 in k 2.739 * [backup-simplify]: Simplify 0.5 into 0.5 2.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.739 * [taylor]: Taking taylor expansion of 1.0 in k 2.739 * [backup-simplify]: Simplify 1.0 into 1.0 2.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.739 * [taylor]: Taking taylor expansion of k in k 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.739 * [taylor]: Taking taylor expansion of 2.0 in k 2.739 * [backup-simplify]: Simplify 2.0 into 2.0 2.739 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.739 * [taylor]: Taking taylor expansion of PI in k 2.739 * [backup-simplify]: Simplify PI into PI 2.739 * [taylor]: Taking taylor expansion of n in k 2.739 * [backup-simplify]: Simplify n into n 2.739 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.739 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.739 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.740 * [backup-simplify]: Simplify (- 1) into -1 2.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.740 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.740 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.740 * [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))))) 2.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.741 * [taylor]: Taking taylor expansion of 0.5 in n 2.741 * [backup-simplify]: Simplify 0.5 into 0.5 2.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.741 * [taylor]: Taking taylor expansion of 1.0 in n 2.741 * [backup-simplify]: Simplify 1.0 into 1.0 2.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.741 * [taylor]: Taking taylor expansion of k in n 2.741 * [backup-simplify]: Simplify k into k 2.741 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.741 * [taylor]: Taking taylor expansion of 2.0 in n 2.741 * [backup-simplify]: Simplify 2.0 into 2.0 2.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.741 * [taylor]: Taking taylor expansion of PI in n 2.741 * [backup-simplify]: Simplify PI into PI 2.741 * [taylor]: Taking taylor expansion of n in n 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (/ PI 1) into PI 2.741 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.742 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.742 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.742 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.742 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.744 * [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)))) 2.744 * [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))))) 2.744 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.745 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.745 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.745 * [taylor]: Taking taylor expansion of 0.5 in n 2.745 * [backup-simplify]: Simplify 0.5 into 0.5 2.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.745 * [taylor]: Taking taylor expansion of 1.0 in n 2.745 * [backup-simplify]: Simplify 1.0 into 1.0 2.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.745 * [taylor]: Taking taylor expansion of k in n 2.745 * [backup-simplify]: Simplify k into k 2.745 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.745 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.745 * [taylor]: Taking taylor expansion of 2.0 in n 2.745 * [backup-simplify]: Simplify 2.0 into 2.0 2.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.745 * [taylor]: Taking taylor expansion of PI in n 2.745 * [backup-simplify]: Simplify PI into PI 2.745 * [taylor]: Taking taylor expansion of n in n 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (/ PI 1) into PI 2.745 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.746 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.746 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.746 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.746 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.754 * [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)))) 2.754 * [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))))) 2.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.754 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.754 * [taylor]: Taking taylor expansion of 0.5 in k 2.754 * [backup-simplify]: Simplify 0.5 into 0.5 2.754 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.755 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.755 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.755 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.755 * [taylor]: Taking taylor expansion of 2.0 in k 2.755 * [backup-simplify]: Simplify 2.0 into 2.0 2.755 * [taylor]: Taking taylor expansion of PI in k 2.755 * [backup-simplify]: Simplify PI into PI 2.755 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.755 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.756 * [taylor]: Taking taylor expansion of (log n) in k 2.756 * [taylor]: Taking taylor expansion of n in k 2.756 * [backup-simplify]: Simplify n into n 2.756 * [backup-simplify]: Simplify (log n) into (log n) 2.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.756 * [taylor]: Taking taylor expansion of 1.0 in k 2.756 * [backup-simplify]: Simplify 1.0 into 1.0 2.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.756 * [taylor]: Taking taylor expansion of k in k 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (/ 1 1) into 1 2.756 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.757 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.757 * [backup-simplify]: Simplify (- 1) into -1 2.757 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.758 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.758 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.759 * [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))))) 2.760 * [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))))) 2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.762 * [backup-simplify]: Simplify (- 0) into 0 2.762 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.764 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.765 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.765 * [taylor]: Taking taylor expansion of 0 in k 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.768 * [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 2.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.769 * [backup-simplify]: Simplify (- 0) into 0 2.769 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.770 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.771 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.773 * [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 2.773 * [taylor]: Taking taylor expansion of 0 in k 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.777 * [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 2.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.777 * [backup-simplify]: Simplify (- 0) into 0 2.778 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.780 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.782 * [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 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 2.783 * [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)))) 2.783 * [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))) 2.783 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.783 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.783 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.783 * [taylor]: Taking taylor expansion of 0.5 in k 2.783 * [backup-simplify]: Simplify 0.5 into 0.5 2.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.783 * [taylor]: Taking taylor expansion of k in k 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (/ 1 1) into 1 2.784 * [taylor]: Taking taylor expansion of 1.0 in k 2.784 * [backup-simplify]: Simplify 1.0 into 1.0 2.784 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.784 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.784 * [taylor]: Taking taylor expansion of -2.0 in k 2.784 * [backup-simplify]: Simplify -2.0 into -2.0 2.784 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.784 * [taylor]: Taking taylor expansion of PI in k 2.784 * [backup-simplify]: Simplify PI into PI 2.784 * [taylor]: Taking taylor expansion of n in k 2.784 * [backup-simplify]: Simplify n into n 2.784 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.784 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.784 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.784 * [backup-simplify]: Simplify (+ 1 0) into 1 2.784 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.785 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.785 * [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)))))) 2.785 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.785 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.785 * [taylor]: Taking taylor expansion of 0.5 in n 2.785 * [backup-simplify]: Simplify 0.5 into 0.5 2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.785 * [taylor]: Taking taylor expansion of k in n 2.785 * [backup-simplify]: Simplify k into k 2.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.785 * [taylor]: Taking taylor expansion of 1.0 in n 2.785 * [backup-simplify]: Simplify 1.0 into 1.0 2.785 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.785 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.785 * [taylor]: Taking taylor expansion of -2.0 in n 2.785 * [backup-simplify]: Simplify -2.0 into -2.0 2.785 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.785 * [taylor]: Taking taylor expansion of PI in n 2.785 * [backup-simplify]: Simplify PI into PI 2.785 * [taylor]: Taking taylor expansion of n in n 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (/ PI 1) into PI 2.786 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.786 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.786 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.786 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.788 * [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)))) 2.789 * [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))))) 2.789 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.789 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.789 * [taylor]: Taking taylor expansion of 0.5 in n 2.789 * [backup-simplify]: Simplify 0.5 into 0.5 2.789 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.789 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.789 * [taylor]: Taking taylor expansion of k in n 2.789 * [backup-simplify]: Simplify k into k 2.789 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.789 * [taylor]: Taking taylor expansion of 1.0 in n 2.789 * [backup-simplify]: Simplify 1.0 into 1.0 2.789 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.789 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.789 * [taylor]: Taking taylor expansion of -2.0 in n 2.789 * [backup-simplify]: Simplify -2.0 into -2.0 2.789 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.789 * [taylor]: Taking taylor expansion of PI in n 2.789 * [backup-simplify]: Simplify PI into PI 2.789 * [taylor]: Taking taylor expansion of n in n 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [backup-simplify]: Simplify (/ PI 1) into PI 2.790 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.790 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.790 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.790 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.791 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.792 * [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)))) 2.793 * [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))))) 2.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.793 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.793 * [taylor]: Taking taylor expansion of 0.5 in k 2.793 * [backup-simplify]: Simplify 0.5 into 0.5 2.793 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.793 * [taylor]: Taking taylor expansion of k in k 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 * [taylor]: Taking taylor expansion of 1.0 in k 2.794 * [backup-simplify]: Simplify 1.0 into 1.0 2.794 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.794 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.794 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.794 * [taylor]: Taking taylor expansion of -2.0 in k 2.794 * [backup-simplify]: Simplify -2.0 into -2.0 2.794 * [taylor]: Taking taylor expansion of PI in k 2.794 * [backup-simplify]: Simplify PI into PI 2.794 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.795 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.795 * [taylor]: Taking taylor expansion of (log n) in k 2.795 * [taylor]: Taking taylor expansion of n in k 2.795 * [backup-simplify]: Simplify n into n 2.795 * [backup-simplify]: Simplify (log n) into (log n) 2.795 * [backup-simplify]: Simplify (+ 1 0) into 1 2.795 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.796 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.796 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.797 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.798 * [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))))) 2.798 * [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))))) 2.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.801 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.803 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.804 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.804 * [taylor]: Taking taylor expansion of 0 in k 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.807 * [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 2.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.810 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.811 * [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 2.811 * [taylor]: Taking taylor expansion of 0 in k 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.816 * [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 2.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.819 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.820 * [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 2.820 * [taylor]: Taking taylor expansion of 0 in k 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.821 * [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)))))) 2.821 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 2.821 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.821 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.821 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.821 * [taylor]: Taking taylor expansion of 1.0 in k 2.821 * [backup-simplify]: Simplify 1.0 into 1.0 2.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.821 * [taylor]: Taking taylor expansion of k in k 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (/ 1 1) into 1 2.822 * [backup-simplify]: Simplify (sqrt 0) into 0 2.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.823 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.823 * [taylor]: Taking taylor expansion of 1.0 in k 2.823 * [backup-simplify]: Simplify 1.0 into 1.0 2.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.823 * [taylor]: Taking taylor expansion of k in k 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [backup-simplify]: Simplify (sqrt 0) into 0 2.824 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.824 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.829 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.829 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.833 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.833 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.834 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.834 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.834 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.834 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.834 * [taylor]: Taking taylor expansion of 1.0 in k 2.834 * [backup-simplify]: Simplify 1.0 into 1.0 2.834 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.834 * [taylor]: Taking taylor expansion of k in k 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (sqrt 0) into 0 2.835 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.835 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.835 * [taylor]: Taking taylor expansion of 1.0 in k 2.835 * [backup-simplify]: Simplify 1.0 into 1.0 2.835 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.835 * [taylor]: Taking taylor expansion of k in k 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (sqrt 0) into 0 2.836 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.836 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.837 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.839 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.840 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.840 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.850 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.851 * [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)))))))) 2.851 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.851 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.851 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.851 * [taylor]: Taking taylor expansion of 1.0 in k 2.851 * [backup-simplify]: Simplify 1.0 into 1.0 2.851 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.851 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.851 * [taylor]: Taking taylor expansion of -1 in k 2.851 * [backup-simplify]: Simplify -1 into -1 2.851 * [taylor]: Taking taylor expansion of k in k 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [backup-simplify]: Simplify (/ -1 1) into -1 2.852 * [backup-simplify]: Simplify (sqrt 0) into 0 2.852 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.853 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.853 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.853 * [taylor]: Taking taylor expansion of 1.0 in k 2.853 * [backup-simplify]: Simplify 1.0 into 1.0 2.853 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.853 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.853 * [taylor]: Taking taylor expansion of -1 in k 2.853 * [backup-simplify]: Simplify -1 into -1 2.853 * [taylor]: Taking taylor expansion of k in k 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (/ -1 1) into -1 2.853 * [backup-simplify]: Simplify (sqrt 0) into 0 2.854 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.854 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.858 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.858 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.863 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.864 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.864 * [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))))) 2.864 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.864 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.865 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.865 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.865 * [taylor]: Taking taylor expansion of 1.0 in k 2.865 * [backup-simplify]: Simplify 1.0 into 1.0 2.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.865 * [taylor]: Taking taylor expansion of k in k 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (/ 1 1) into 1 2.865 * [backup-simplify]: Simplify (sqrt 0) into 0 2.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.866 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.866 * [taylor]: Taking taylor expansion of 1.0 in k 2.866 * [backup-simplify]: Simplify 1.0 into 1.0 2.866 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.866 * [taylor]: Taking taylor expansion of k in k 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.866 * [backup-simplify]: Simplify (/ 1 1) into 1 2.867 * [backup-simplify]: Simplify (sqrt 0) into 0 2.867 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.868 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.869 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.872 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.872 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.876 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.876 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.877 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.877 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.877 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.877 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.877 * [taylor]: Taking taylor expansion of 1.0 in k 2.877 * [backup-simplify]: Simplify 1.0 into 1.0 2.877 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.877 * [taylor]: Taking taylor expansion of k in k 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (sqrt 0) into 0 2.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.878 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.878 * [taylor]: Taking taylor expansion of 1.0 in k 2.878 * [backup-simplify]: Simplify 1.0 into 1.0 2.878 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.878 * [taylor]: Taking taylor expansion of k in k 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (sqrt 0) into 0 2.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.879 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.880 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.882 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.883 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.883 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.887 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.887 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.888 * [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)))))))) 2.888 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.888 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.888 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.888 * [taylor]: Taking taylor expansion of 1.0 in k 2.888 * [backup-simplify]: Simplify 1.0 into 1.0 2.888 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.888 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.888 * [taylor]: Taking taylor expansion of -1 in k 2.888 * [backup-simplify]: Simplify -1 into -1 2.888 * [taylor]: Taking taylor expansion of k in k 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (/ -1 1) into -1 2.889 * [backup-simplify]: Simplify (sqrt 0) into 0 2.890 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.890 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.890 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.890 * [taylor]: Taking taylor expansion of 1.0 in k 2.890 * [backup-simplify]: Simplify 1.0 into 1.0 2.890 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.890 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.890 * [taylor]: Taking taylor expansion of -1 in k 2.890 * [backup-simplify]: Simplify -1 into -1 2.890 * [taylor]: Taking taylor expansion of k in k 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (/ -1 1) into -1 2.890 * [backup-simplify]: Simplify (sqrt 0) into 0 2.891 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.891 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.892 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.894 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.895 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.896 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.901 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.901 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.902 * [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))))) 2.902 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.902 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.902 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.902 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.902 * [taylor]: Taking taylor expansion of 2.0 in n 2.902 * [backup-simplify]: Simplify 2.0 into 2.0 2.902 * [taylor]: Taking taylor expansion of (* n PI) in n 2.902 * [taylor]: Taking taylor expansion of n in n 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [taylor]: Taking taylor expansion of PI in n 2.902 * [backup-simplify]: Simplify PI into PI 2.902 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.902 * [taylor]: Taking taylor expansion of 2.0 in n 2.902 * [backup-simplify]: Simplify 2.0 into 2.0 2.902 * [taylor]: Taking taylor expansion of (* n PI) in n 2.902 * [taylor]: Taking taylor expansion of n in n 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [taylor]: Taking taylor expansion of PI in n 2.902 * [backup-simplify]: Simplify PI into PI 2.903 * [backup-simplify]: Simplify (* 0 PI) into 0 2.903 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.905 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.905 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.906 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.908 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.911 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.915 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.915 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.915 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.915 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.915 * [taylor]: Taking taylor expansion of 2.0 in n 2.915 * [backup-simplify]: Simplify 2.0 into 2.0 2.915 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.915 * [taylor]: Taking taylor expansion of PI in n 2.915 * [backup-simplify]: Simplify PI into PI 2.915 * [taylor]: Taking taylor expansion of n in n 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify (/ PI 1) into PI 2.916 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.916 * [taylor]: Taking taylor expansion of 2.0 in n 2.916 * [backup-simplify]: Simplify 2.0 into 2.0 2.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.916 * [taylor]: Taking taylor expansion of PI in n 2.916 * [backup-simplify]: Simplify PI into PI 2.916 * [taylor]: Taking taylor expansion of n in n 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify (/ PI 1) into PI 2.917 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.917 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [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 2.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.925 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.925 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.925 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.925 * [taylor]: Taking taylor expansion of -2.0 in n 2.925 * [backup-simplify]: Simplify -2.0 into -2.0 2.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.925 * [taylor]: Taking taylor expansion of PI in n 2.925 * [backup-simplify]: Simplify PI into PI 2.925 * [taylor]: Taking taylor expansion of n in n 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (/ PI 1) into PI 2.926 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.926 * [taylor]: Taking taylor expansion of -2.0 in n 2.926 * [backup-simplify]: Simplify -2.0 into -2.0 2.926 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.926 * [taylor]: Taking taylor expansion of PI in n 2.926 * [backup-simplify]: Simplify PI into PI 2.926 * [taylor]: Taking taylor expansion of n in n 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (/ PI 1) into PI 2.926 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.927 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [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 2.934 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.935 * * * [progress]: simplifying candidates 2.943 * [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) (- (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 (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.943 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0)) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ h2 h0)) (pow (* (* h0 h4) h3) (/ h1 h0)) (pow (* (* h0 h4) h3) (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0)))) (pow (* (* h0 h4) h3) (sqrt (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1)) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) 1) (pow (* (* h0 h4) h3) (- h2 h1)) (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (exp (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (- (log h2) (log (sqrt h1))) (log (/ h2 (sqrt h1))) (exp (/ h2 (sqrt h1))) (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1))) (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (- h2) (- (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h2) (cbrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h2) (sqrt (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h1)) (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1))) (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h2 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 1) (/ h2 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h2) (/ h2 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (sqrt h1))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h1))) (/ h2 1) (/ (sqrt h1) (cbrt h2)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) h2) (- (log h2) (log (sqrt h1))) (log (/ h2 (sqrt h1))) (exp (/ h2 (sqrt h1))) (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1))) (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (sqrt (/ h2 (sqrt h1))) (- h2) (- (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h2) (cbrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h2) (sqrt (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1))) (/ (cbrt h2) (sqrt (sqrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h1)) (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1))) (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) (sqrt (sqrt h1))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h2 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h2 (sqrt (sqrt h1))) (/ 1 1) (/ h2 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h2) (/ h2 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h2 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h2 (sqrt (sqrt h1))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h1))) (/ h2 1) (/ (sqrt h1) (cbrt h2)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) h2) (* (* h0 h4) h3) (* (* h0 h4) h3) (+ (+ (log h0) (log h4)) (log h3)) (+ (log (* h0 h4)) (log h3)) (log (* (* h0 h4) h3)) (exp (* (* h0 h4) h3)) (* (* (* (* h0 h0) h0) (* (* h4 h4) h4)) (* (* h3 h3) h3)) (* (* (* (* h0 h4) (* h0 h4)) (* h0 h4)) (* (* h3 h3) h3)) (* (cbrt (* (* h0 h4) h3)) (cbrt (* (* h0 h4) h3))) (cbrt (* (* h0 h4) h3)) (* (* (* (* h0 h4) h3) (* (* h0 h4) h3)) (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (sqrt (* (* h0 h4) h3)) (* (* h0 h4) (* (cbrt h3) (cbrt h3))) (* (* h0 h4) (sqrt h3)) (* (* h0 h4) 1) (* h4 h3) (- (+ (* 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))))) (- (+ (* 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)) 2.949 * * [simplify]: iteration 0 : 563 enodes (cost 883 ) 2.958 * * [simplify]: iteration 1 : 2197 enodes (cost 815 ) 2.995 * * [simplify]: iteration 2 : 5001 enodes (cost 791 ) 3.000 * * * [progress]: adding candidates to table 3.412 * * [progress]: iteration 4 / 4 3.412 * * * [progress]: picking best candidate 3.437 * * * * [pick]: Picked # 3.437 * * * [progress]: localizing error 3.457 * * * [progress]: generating rewritten candidates 3.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.480 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 3.484 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 3.488 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 3.496 * * * [progress]: generating series expansions 3.496 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.497 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 3.497 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.497 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.497 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.497 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.497 * [taylor]: Taking taylor expansion of 0.5 in k 3.497 * [backup-simplify]: Simplify 0.5 into 0.5 3.497 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.497 * [taylor]: Taking taylor expansion of 1.0 in k 3.497 * [backup-simplify]: Simplify 1.0 into 1.0 3.497 * [taylor]: Taking taylor expansion of k in k 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.497 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.497 * [taylor]: Taking taylor expansion of 2.0 in k 3.497 * [backup-simplify]: Simplify 2.0 into 2.0 3.497 * [taylor]: Taking taylor expansion of (* n PI) in k 3.497 * [taylor]: Taking taylor expansion of n in k 3.497 * [backup-simplify]: Simplify n into n 3.497 * [taylor]: Taking taylor expansion of PI in k 3.497 * [backup-simplify]: Simplify PI into PI 3.497 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.497 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.497 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.498 * [backup-simplify]: Simplify (- 0) into 0 3.498 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.498 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.498 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.498 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.498 * [taylor]: Taking taylor expansion of 0.5 in n 3.499 * [backup-simplify]: Simplify 0.5 into 0.5 3.499 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.499 * [taylor]: Taking taylor expansion of 1.0 in n 3.499 * [backup-simplify]: Simplify 1.0 into 1.0 3.499 * [taylor]: Taking taylor expansion of k in n 3.499 * [backup-simplify]: Simplify k into k 3.499 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.499 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.499 * [taylor]: Taking taylor expansion of 2.0 in n 3.499 * [backup-simplify]: Simplify 2.0 into 2.0 3.499 * [taylor]: Taking taylor expansion of (* n PI) in n 3.499 * [taylor]: Taking taylor expansion of n in n 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [taylor]: Taking taylor expansion of PI in n 3.499 * [backup-simplify]: Simplify PI into PI 3.499 * [backup-simplify]: Simplify (* 0 PI) into 0 3.499 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.501 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.502 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.502 * [backup-simplify]: Simplify (- k) into (- k) 3.502 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.502 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.503 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.503 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 3.504 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 3.504 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.504 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.504 * [taylor]: Taking taylor expansion of 0.5 in n 3.504 * [backup-simplify]: Simplify 0.5 into 0.5 3.504 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.504 * [taylor]: Taking taylor expansion of 1.0 in n 3.504 * [backup-simplify]: Simplify 1.0 into 1.0 3.504 * [taylor]: Taking taylor expansion of k in n 3.504 * [backup-simplify]: Simplify k into k 3.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.504 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.504 * [taylor]: Taking taylor expansion of 2.0 in n 3.504 * [backup-simplify]: Simplify 2.0 into 2.0 3.504 * [taylor]: Taking taylor expansion of (* n PI) in n 3.504 * [taylor]: Taking taylor expansion of n in n 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [taylor]: Taking taylor expansion of PI in n 3.504 * [backup-simplify]: Simplify PI into PI 3.505 * [backup-simplify]: Simplify (* 0 PI) into 0 3.505 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.507 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.507 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.507 * [backup-simplify]: Simplify (- k) into (- k) 3.507 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.507 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.509 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.509 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 3.510 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 3.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.510 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.510 * [taylor]: Taking taylor expansion of 0.5 in k 3.510 * [backup-simplify]: Simplify 0.5 into 0.5 3.510 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.510 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.510 * [taylor]: Taking taylor expansion of 1.0 in k 3.510 * [backup-simplify]: Simplify 1.0 into 1.0 3.510 * [taylor]: Taking taylor expansion of k in k 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 1 into 1 3.510 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.510 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.510 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.510 * [taylor]: Taking taylor expansion of 2.0 in k 3.510 * [backup-simplify]: Simplify 2.0 into 2.0 3.510 * [taylor]: Taking taylor expansion of PI in k 3.510 * [backup-simplify]: Simplify PI into PI 3.511 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.511 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.511 * [taylor]: Taking taylor expansion of (log n) in k 3.511 * [taylor]: Taking taylor expansion of n in k 3.511 * [backup-simplify]: Simplify n into n 3.511 * [backup-simplify]: Simplify (log n) into (log n) 3.512 * [backup-simplify]: Simplify (- 0) into 0 3.512 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.513 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 3.514 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 3.514 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 3.515 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.516 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.517 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.518 * [backup-simplify]: Simplify (- 0) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.519 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.520 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 3.521 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.521 * [taylor]: Taking taylor expansion of 0 in k 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (- 1) into -1 3.524 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.525 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 3.526 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 3.528 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 3.530 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 3.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.533 * [backup-simplify]: Simplify (- 0) into 0 3.533 * [backup-simplify]: Simplify (+ 0 0) into 0 3.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.535 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.536 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.537 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.537 * [taylor]: Taking taylor expansion of 0 in k 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.540 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 3.541 * [backup-simplify]: Simplify (+ 0 0) into 0 3.541 * [backup-simplify]: Simplify (- 0) into 0 3.541 * [backup-simplify]: Simplify (+ 0 0) into 0 3.542 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.544 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 3.552 * [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)))))) 3.555 * [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)))))) 3.561 * [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)))))) 3.562 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 3.562 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.562 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.562 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.562 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.562 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.562 * [taylor]: Taking taylor expansion of 0.5 in k 3.562 * [backup-simplify]: Simplify 0.5 into 0.5 3.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.562 * [taylor]: Taking taylor expansion of 1.0 in k 3.562 * [backup-simplify]: Simplify 1.0 into 1.0 3.562 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.562 * [taylor]: Taking taylor expansion of k in k 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 1 into 1 3.563 * [backup-simplify]: Simplify (/ 1 1) into 1 3.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.563 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.563 * [taylor]: Taking taylor expansion of 2.0 in k 3.563 * [backup-simplify]: Simplify 2.0 into 2.0 3.563 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.563 * [taylor]: Taking taylor expansion of PI in k 3.563 * [backup-simplify]: Simplify PI into PI 3.563 * [taylor]: Taking taylor expansion of n in k 3.563 * [backup-simplify]: Simplify n into n 3.563 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.563 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.563 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.563 * [backup-simplify]: Simplify (- 1) into -1 3.563 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.564 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.564 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.564 * [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))))) 3.564 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.564 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.564 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.564 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.564 * [taylor]: Taking taylor expansion of 0.5 in n 3.564 * [backup-simplify]: Simplify 0.5 into 0.5 3.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.564 * [taylor]: Taking taylor expansion of 1.0 in n 3.564 * [backup-simplify]: Simplify 1.0 into 1.0 3.564 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.564 * [taylor]: Taking taylor expansion of k in n 3.564 * [backup-simplify]: Simplify k into k 3.564 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.564 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.564 * [taylor]: Taking taylor expansion of 2.0 in n 3.564 * [backup-simplify]: Simplify 2.0 into 2.0 3.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.564 * [taylor]: Taking taylor expansion of PI in n 3.564 * [backup-simplify]: Simplify PI into PI 3.564 * [taylor]: Taking taylor expansion of n in n 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [backup-simplify]: Simplify (/ PI 1) into PI 3.565 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.565 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.565 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.566 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.566 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.567 * [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)))) 3.568 * [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))))) 3.568 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.568 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.568 * [taylor]: Taking taylor expansion of 0.5 in n 3.568 * [backup-simplify]: Simplify 0.5 into 0.5 3.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.568 * [taylor]: Taking taylor expansion of 1.0 in n 3.568 * [backup-simplify]: Simplify 1.0 into 1.0 3.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.568 * [taylor]: Taking taylor expansion of k in n 3.568 * [backup-simplify]: Simplify k into k 3.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.568 * [taylor]: Taking taylor expansion of 2.0 in n 3.568 * [backup-simplify]: Simplify 2.0 into 2.0 3.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.568 * [taylor]: Taking taylor expansion of PI in n 3.568 * [backup-simplify]: Simplify PI into PI 3.568 * [taylor]: Taking taylor expansion of n in n 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (/ PI 1) into PI 3.569 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.570 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.570 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.570 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.570 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.571 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.571 * [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)))) 3.572 * [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))))) 3.572 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.572 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.572 * [taylor]: Taking taylor expansion of 0.5 in k 3.572 * [backup-simplify]: Simplify 0.5 into 0.5 3.572 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.572 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.572 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.572 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.572 * [taylor]: Taking taylor expansion of 2.0 in k 3.572 * [backup-simplify]: Simplify 2.0 into 2.0 3.572 * [taylor]: Taking taylor expansion of PI in k 3.572 * [backup-simplify]: Simplify PI into PI 3.573 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.573 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.573 * [taylor]: Taking taylor expansion of (log n) in k 3.573 * [taylor]: Taking taylor expansion of n in k 3.573 * [backup-simplify]: Simplify n into n 3.573 * [backup-simplify]: Simplify (log n) into (log n) 3.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.573 * [taylor]: Taking taylor expansion of 1.0 in k 3.573 * [backup-simplify]: Simplify 1.0 into 1.0 3.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.573 * [taylor]: Taking taylor expansion of k in k 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.574 * [backup-simplify]: Simplify (/ 1 1) into 1 3.574 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.574 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 3.575 * [backup-simplify]: Simplify (- 1) into -1 3.575 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.575 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 3.576 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 3.577 * [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))))) 3.578 * [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))))) 3.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.580 * [backup-simplify]: Simplify (- 0) into 0 3.580 * [backup-simplify]: Simplify (+ 0 0) into 0 3.580 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.581 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.582 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.583 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.583 * [taylor]: Taking taylor expansion of 0 in k 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.587 * [backup-simplify]: Simplify (- 0) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.588 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.589 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.589 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.591 * [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 3.591 * [taylor]: Taking taylor expansion of 0 in k 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.595 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 3.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.595 * [backup-simplify]: Simplify (- 0) into 0 3.596 * [backup-simplify]: Simplify (+ 0 0) into 0 3.596 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.598 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.600 * [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 3.600 * [taylor]: Taking taylor expansion of 0 in k 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 0 into 0 3.601 * [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)))) 3.601 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 3.601 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.601 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.601 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.602 * [taylor]: Taking taylor expansion of 0.5 in k 3.602 * [backup-simplify]: Simplify 0.5 into 0.5 3.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.602 * [taylor]: Taking taylor expansion of k in k 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (/ 1 1) into 1 3.602 * [taylor]: Taking taylor expansion of 1.0 in k 3.602 * [backup-simplify]: Simplify 1.0 into 1.0 3.602 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.602 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.602 * [taylor]: Taking taylor expansion of -2.0 in k 3.602 * [backup-simplify]: Simplify -2.0 into -2.0 3.602 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.602 * [taylor]: Taking taylor expansion of PI in k 3.602 * [backup-simplify]: Simplify PI into PI 3.602 * [taylor]: Taking taylor expansion of n in k 3.602 * [backup-simplify]: Simplify n into n 3.602 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.602 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.602 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.602 * [backup-simplify]: Simplify (+ 1 0) into 1 3.603 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.603 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.603 * [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)))))) 3.603 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.603 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.603 * [taylor]: Taking taylor expansion of 0.5 in n 3.603 * [backup-simplify]: Simplify 0.5 into 0.5 3.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.603 * [taylor]: Taking taylor expansion of k in n 3.603 * [backup-simplify]: Simplify k into k 3.603 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.603 * [taylor]: Taking taylor expansion of 1.0 in n 3.603 * [backup-simplify]: Simplify 1.0 into 1.0 3.603 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.603 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.603 * [taylor]: Taking taylor expansion of -2.0 in n 3.603 * [backup-simplify]: Simplify -2.0 into -2.0 3.603 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.603 * [taylor]: Taking taylor expansion of PI in n 3.603 * [backup-simplify]: Simplify PI into PI 3.603 * [taylor]: Taking taylor expansion of n in n 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (/ PI 1) into PI 3.604 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.604 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.605 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.605 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.605 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.606 * [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)))) 3.607 * [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))))) 3.607 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.607 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.607 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.607 * [taylor]: Taking taylor expansion of 0.5 in n 3.607 * [backup-simplify]: Simplify 0.5 into 0.5 3.607 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.607 * [taylor]: Taking taylor expansion of k in n 3.607 * [backup-simplify]: Simplify k into k 3.607 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.607 * [taylor]: Taking taylor expansion of 1.0 in n 3.607 * [backup-simplify]: Simplify 1.0 into 1.0 3.607 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.607 * [taylor]: Taking taylor expansion of -2.0 in n 3.607 * [backup-simplify]: Simplify -2.0 into -2.0 3.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.607 * [taylor]: Taking taylor expansion of PI in n 3.607 * [backup-simplify]: Simplify PI into PI 3.607 * [taylor]: Taking taylor expansion of n in n 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (/ PI 1) into PI 3.608 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.609 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.609 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.609 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.610 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.611 * [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)))) 3.611 * [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))))) 3.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.611 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.611 * [taylor]: Taking taylor expansion of 0.5 in k 3.611 * [backup-simplify]: Simplify 0.5 into 0.5 3.612 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.612 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.612 * [taylor]: Taking taylor expansion of k in k 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [backup-simplify]: Simplify (/ 1 1) into 1 3.612 * [taylor]: Taking taylor expansion of 1.0 in k 3.612 * [backup-simplify]: Simplify 1.0 into 1.0 3.612 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.612 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.612 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.612 * [taylor]: Taking taylor expansion of -2.0 in k 3.612 * [backup-simplify]: Simplify -2.0 into -2.0 3.612 * [taylor]: Taking taylor expansion of PI in k 3.612 * [backup-simplify]: Simplify PI into PI 3.612 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.613 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.613 * [taylor]: Taking taylor expansion of (log n) in k 3.613 * [taylor]: Taking taylor expansion of n in k 3.613 * [backup-simplify]: Simplify n into n 3.613 * [backup-simplify]: Simplify (log n) into (log n) 3.613 * [backup-simplify]: Simplify (+ 1 0) into 1 3.613 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.614 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 3.615 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 3.615 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 3.616 * [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))))) 3.617 * [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))))) 3.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.619 * [backup-simplify]: Simplify (+ 0 0) into 0 3.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.621 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.622 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.622 * [taylor]: Taking taylor expansion of 0 in k 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 3.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.626 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.628 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 3.629 * [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 3.629 * [taylor]: Taking taylor expansion of 0 in k 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.633 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 3.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.634 * [backup-simplify]: Simplify (+ 0 0) into 0 3.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.635 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.636 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 3.638 * [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 3.638 * [taylor]: Taking taylor expansion of 0 in k 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 0 into 0 3.639 * [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)))))) 3.639 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 3.639 * [backup-simplify]: Simplify (cbrt (/ 1.0 (sqrt k))) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.639 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/6) (cbrt 1.0)) in (k) around 0 3.639 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/6) (cbrt 1.0)) in k 3.639 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 3.639 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 3.639 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 3.639 * [taylor]: Taking taylor expansion of 1/6 in k 3.639 * [backup-simplify]: Simplify 1/6 into 1/6 3.639 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.639 * [taylor]: Taking taylor expansion of k in k 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.640 * [backup-simplify]: Simplify (log 1) into 0 3.640 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.640 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 3.640 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 3.640 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.640 * [taylor]: Taking taylor expansion of 1.0 in k 3.640 * [backup-simplify]: Simplify 1.0 into 1.0 3.640 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.641 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.641 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/6) (cbrt 1.0)) in k 3.641 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 3.641 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 3.641 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 3.641 * [taylor]: Taking taylor expansion of 1/6 in k 3.641 * [backup-simplify]: Simplify 1/6 into 1/6 3.641 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.641 * [taylor]: Taking taylor expansion of k in k 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (/ 1 1) into 1 3.641 * [backup-simplify]: Simplify (log 1) into 0 3.642 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.642 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 3.642 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 3.642 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.642 * [taylor]: Taking taylor expansion of 1.0 in k 3.642 * [backup-simplify]: Simplify 1.0 into 1.0 3.642 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.643 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.643 * [backup-simplify]: Simplify (* (pow k -1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.643 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.651 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.651 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log k)))) into 0 3.652 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 3.652 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (* 0 (cbrt 1.0))) into 0 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.655 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.656 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.656 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 3.657 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.657 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [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 3.662 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.663 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 3.663 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.664 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.671 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.671 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.672 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 3.673 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.674 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.684 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.686 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 3.688 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.689 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.705 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.707 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 3.709 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.711 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.711 * [backup-simplify]: Simplify (cbrt (/ 1.0 (sqrt (/ 1 k)))) into (* (pow k 1/6) (cbrt 1.0)) 3.711 * [approximate]: Taking taylor expansion of (* (pow k 1/6) (cbrt 1.0)) in (k) around 0 3.711 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (cbrt 1.0)) in k 3.711 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 3.711 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 3.711 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 3.711 * [taylor]: Taking taylor expansion of 1/6 in k 3.711 * [backup-simplify]: Simplify 1/6 into 1/6 3.711 * [taylor]: Taking taylor expansion of (log k) in k 3.711 * [taylor]: Taking taylor expansion of k in k 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (log 1) into 0 3.712 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.712 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 3.712 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 3.712 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.712 * [taylor]: Taking taylor expansion of 1.0 in k 3.712 * [backup-simplify]: Simplify 1.0 into 1.0 3.712 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.713 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.713 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (cbrt 1.0)) in k 3.713 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 3.713 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 3.713 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 3.713 * [taylor]: Taking taylor expansion of 1/6 in k 3.713 * [backup-simplify]: Simplify 1/6 into 1/6 3.713 * [taylor]: Taking taylor expansion of (log k) in k 3.713 * [taylor]: Taking taylor expansion of k in k 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (log 1) into 0 3.713 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.713 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 3.713 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 3.713 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.713 * [taylor]: Taking taylor expansion of 1.0 in k 3.713 * [backup-simplify]: Simplify 1.0 into 1.0 3.714 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.714 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.714 * [backup-simplify]: Simplify (* (pow k 1/6) (cbrt 1.0)) into (* (pow k 1/6) (cbrt 1.0)) 3.715 * [backup-simplify]: Simplify (* (pow k 1/6) (cbrt 1.0)) into (* (pow k 1/6) (cbrt 1.0)) 3.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.716 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.716 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log k))) into 0 3.717 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 3.717 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (* 0 (cbrt 1.0))) into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.720 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.720 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log k)))) into 0 3.721 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.721 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 3.725 * [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 3.725 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.726 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 3.726 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 3.727 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.740 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.741 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.742 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 3.743 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.744 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 3.744 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 3.753 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.753 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.754 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 3.756 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 3.757 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.773 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.773 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.775 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 3.777 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.778 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 3.778 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.779 * [backup-simplify]: Simplify (cbrt (/ 1.0 (sqrt (/ 1 (- k))))) into (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) 3.779 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) in (k) around 0 3.779 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) in k 3.779 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/3) in k 3.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 k)))))) in k 3.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 k))))) in k 3.779 * [taylor]: Taking taylor expansion of 1/3 in k 3.779 * [backup-simplify]: Simplify 1/3 into 1/3 3.779 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 3.779 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.779 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.779 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.779 * [taylor]: Taking taylor expansion of -1 in k 3.779 * [backup-simplify]: Simplify -1 into -1 3.779 * [taylor]: Taking taylor expansion of k in k 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (/ -1 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 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.781 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.782 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 3.783 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 3.783 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.783 * [taylor]: Taking taylor expansion of 1.0 in k 3.783 * [backup-simplify]: Simplify 1.0 into 1.0 3.783 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.783 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.783 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) in k 3.783 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/3) in k 3.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 k)))))) in k 3.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 k))))) in k 3.783 * [taylor]: Taking taylor expansion of 1/3 in k 3.783 * [backup-simplify]: Simplify 1/3 into 1/3 3.783 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 3.783 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.783 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.784 * [taylor]: Taking taylor expansion of -1 in k 3.784 * [backup-simplify]: Simplify -1 into -1 3.784 * [taylor]: Taking taylor expansion of k in k 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [backup-simplify]: Simplify (/ -1 1) into -1 3.784 * [backup-simplify]: Simplify (sqrt 0) into 0 3.785 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.785 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.785 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.786 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 3.787 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 3.787 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.787 * [taylor]: Taking taylor expansion of 1.0 in k 3.787 * [backup-simplify]: Simplify 1.0 into 1.0 3.787 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.788 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.789 * [backup-simplify]: Simplify (* (pow +nan.0 1/3) (cbrt 1.0)) into (* (pow +nan.0 1/3) (cbrt 1.0)) 3.790 * [backup-simplify]: Simplify (* (pow +nan.0 1/3) (cbrt 1.0)) into (* (pow +nan.0 1/3) (cbrt 1.0)) 3.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.793 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.798 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 3.802 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 3.804 * [backup-simplify]: Simplify (+ (* (pow +nan.0 1/3) 0) (* (* +nan.0 (pow +nan.0 1/3)) (cbrt 1.0))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 3.806 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 3.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.812 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 3.830 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 3.835 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 3.839 * [backup-simplify]: Simplify (+ (* (pow +nan.0 1/3) 0) (+ (* (* +nan.0 (pow +nan.0 1/3)) 0) (* (* +nan.0 (pow +nan.0 1/3)) (cbrt 1.0)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 3.841 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 3.846 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) (/ 1 (- k))) (* (pow +nan.0 1/3) (cbrt 1.0)))) into (- (* (pow +nan.0 1/3) (cbrt 1.0)) (+ (* +nan.0 (* (/ (cbrt 1.0) k) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ (cbrt 1.0) (pow k 2)) (pow +nan.0 1/3)))))) 3.846 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 3.846 * [backup-simplify]: Simplify (cbrt (/ 1.0 (sqrt k))) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.846 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/6) (cbrt 1.0)) in (k) around 0 3.846 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/6) (cbrt 1.0)) in k 3.846 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 3.846 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 3.846 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 3.846 * [taylor]: Taking taylor expansion of 1/6 in k 3.846 * [backup-simplify]: Simplify 1/6 into 1/6 3.846 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.846 * [taylor]: Taking taylor expansion of k in k 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [backup-simplify]: Simplify (log 1) into 0 3.847 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.847 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 3.847 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 3.847 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.847 * [taylor]: Taking taylor expansion of 1.0 in k 3.847 * [backup-simplify]: Simplify 1.0 into 1.0 3.847 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.848 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.848 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/6) (cbrt 1.0)) in k 3.848 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 3.848 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 3.848 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 3.848 * [taylor]: Taking taylor expansion of 1/6 in k 3.848 * [backup-simplify]: Simplify 1/6 into 1/6 3.848 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.848 * [taylor]: Taking taylor expansion of k in k 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [backup-simplify]: Simplify (/ 1 1) into 1 3.848 * [backup-simplify]: Simplify (log 1) into 0 3.849 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.849 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 3.849 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 3.849 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.849 * [taylor]: Taking taylor expansion of 1.0 in k 3.849 * [backup-simplify]: Simplify 1.0 into 1.0 3.849 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.849 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.850 * [backup-simplify]: Simplify (* (pow k -1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.850 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.852 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.852 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log k)))) into 0 3.853 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (* 0 (cbrt 1.0))) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.856 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.857 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 3.857 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [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 3.862 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.863 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 3.864 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.865 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.872 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.873 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 3.875 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.875 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.885 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.886 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 3.889 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.890 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.913 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 3.915 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 3.917 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.918 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.919 * [backup-simplify]: Simplify (cbrt (/ 1.0 (sqrt (/ 1 k)))) into (* (pow k 1/6) (cbrt 1.0)) 3.919 * [approximate]: Taking taylor expansion of (* (pow k 1/6) (cbrt 1.0)) in (k) around 0 3.919 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (cbrt 1.0)) in k 3.919 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 3.919 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 3.919 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 3.919 * [taylor]: Taking taylor expansion of 1/6 in k 3.919 * [backup-simplify]: Simplify 1/6 into 1/6 3.919 * [taylor]: Taking taylor expansion of (log k) in k 3.919 * [taylor]: Taking taylor expansion of k in k 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (log 1) into 0 3.920 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.920 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 3.920 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 3.920 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.920 * [taylor]: Taking taylor expansion of 1.0 in k 3.920 * [backup-simplify]: Simplify 1.0 into 1.0 3.920 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.920 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.920 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (cbrt 1.0)) in k 3.920 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 3.920 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 3.921 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 3.921 * [taylor]: Taking taylor expansion of 1/6 in k 3.921 * [backup-simplify]: Simplify 1/6 into 1/6 3.921 * [taylor]: Taking taylor expansion of (log k) in k 3.921 * [taylor]: Taking taylor expansion of k in k 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (log 1) into 0 3.921 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.921 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 3.921 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 3.921 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.921 * [taylor]: Taking taylor expansion of 1.0 in k 3.921 * [backup-simplify]: Simplify 1.0 into 1.0 3.922 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.922 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.922 * [backup-simplify]: Simplify (* (pow k 1/6) (cbrt 1.0)) into (* (pow k 1/6) (cbrt 1.0)) 3.923 * [backup-simplify]: Simplify (* (pow k 1/6) (cbrt 1.0)) into (* (pow k 1/6) (cbrt 1.0)) 3.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.924 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.924 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log k))) into 0 3.924 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 3.925 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (* 0 (cbrt 1.0))) into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.927 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.928 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log k)))) into 0 3.929 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.929 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 3.932 * [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 3.933 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.933 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 3.934 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.935 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 3.935 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.941 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.942 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.943 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 3.944 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.945 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 3.954 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.954 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.955 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 3.957 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.958 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 3.973 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.974 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 3.975 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 3.978 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.979 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 3.979 * [backup-simplify]: Simplify (cbrt (/ 1.0 (sqrt (/ 1 (- k))))) into (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) 3.979 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) in (k) around 0 3.979 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) in k 3.979 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/3) in k 3.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 k)))))) in k 3.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 k))))) in k 3.979 * [taylor]: Taking taylor expansion of 1/3 in k 3.980 * [backup-simplify]: Simplify 1/3 into 1/3 3.980 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 3.980 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.980 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.980 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.980 * [taylor]: Taking taylor expansion of -1 in k 3.980 * [backup-simplify]: Simplify -1 into -1 3.980 * [taylor]: Taking taylor expansion of k in k 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 1 into 1 3.980 * [backup-simplify]: Simplify (/ -1 1) into -1 3.980 * [backup-simplify]: Simplify (sqrt 0) into 0 3.981 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.981 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.981 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.982 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 3.983 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 3.983 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.983 * [taylor]: Taking taylor expansion of 1.0 in k 3.983 * [backup-simplify]: Simplify 1.0 into 1.0 3.983 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.984 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.984 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) in k 3.984 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/3) in k 3.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 k)))))) in k 3.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 k))))) in k 3.984 * [taylor]: Taking taylor expansion of 1/3 in k 3.984 * [backup-simplify]: Simplify 1/3 into 1/3 3.984 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 3.984 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.984 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.984 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.984 * [taylor]: Taking taylor expansion of -1 in k 3.984 * [backup-simplify]: Simplify -1 into -1 3.984 * [taylor]: Taking taylor expansion of k in k 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [backup-simplify]: Simplify (/ -1 1) into -1 3.984 * [backup-simplify]: Simplify (sqrt 0) into 0 3.985 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.985 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 3.986 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.986 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 3.987 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 3.987 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 3.987 * [taylor]: Taking taylor expansion of 1.0 in k 3.987 * [backup-simplify]: Simplify 1.0 into 1.0 3.987 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 3.988 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 3.989 * [backup-simplify]: Simplify (* (pow +nan.0 1/3) (cbrt 1.0)) into (* (pow +nan.0 1/3) (cbrt 1.0)) 3.990 * [backup-simplify]: Simplify (* (pow +nan.0 1/3) (cbrt 1.0)) into (* (pow +nan.0 1/3) (cbrt 1.0)) 3.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.001 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.006 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 4.010 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 4.012 * [backup-simplify]: Simplify (+ (* (pow +nan.0 1/3) 0) (* (* +nan.0 (pow +nan.0 1/3)) (cbrt 1.0))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 4.014 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 4.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 4.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.020 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.028 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 4.030 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 4.035 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 4.039 * [backup-simplify]: Simplify (+ (* (pow +nan.0 1/3) 0) (+ (* (* +nan.0 (pow +nan.0 1/3)) 0) (* (* +nan.0 (pow +nan.0 1/3)) (cbrt 1.0)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 4.041 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 4.047 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) (/ 1 (- k))) (* (pow +nan.0 1/3) (cbrt 1.0)))) into (- (* (pow +nan.0 1/3) (cbrt 1.0)) (+ (* +nan.0 (* (/ (cbrt 1.0) k) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ (cbrt 1.0) (pow k 2)) (pow +nan.0 1/3)))))) 4.047 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 4.047 * [backup-simplify]: Simplify (cbrt (/ 1.0 (sqrt k))) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 4.047 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/6) (cbrt 1.0)) in (k) around 0 4.047 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/6) (cbrt 1.0)) in k 4.047 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 4.047 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 4.047 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 4.047 * [taylor]: Taking taylor expansion of 1/6 in k 4.047 * [backup-simplify]: Simplify 1/6 into 1/6 4.047 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.047 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.047 * [taylor]: Taking taylor expansion of k in k 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (/ 1 1) into 1 4.048 * [backup-simplify]: Simplify (log 1) into 0 4.048 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 4.048 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 4.048 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 4.048 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 4.048 * [taylor]: Taking taylor expansion of 1.0 in k 4.048 * [backup-simplify]: Simplify 1.0 into 1.0 4.049 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 4.049 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 4.049 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/6) (cbrt 1.0)) in k 4.049 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 4.049 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 4.049 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 4.049 * [taylor]: Taking taylor expansion of 1/6 in k 4.049 * [backup-simplify]: Simplify 1/6 into 1/6 4.049 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.049 * [taylor]: Taking taylor expansion of k in k 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (/ 1 1) into 1 4.050 * [backup-simplify]: Simplify (log 1) into 0 4.050 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 4.050 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 4.050 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 4.050 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 4.050 * [taylor]: Taking taylor expansion of 1.0 in k 4.050 * [backup-simplify]: Simplify 1.0 into 1.0 4.050 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 4.051 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 4.051 * [backup-simplify]: Simplify (* (pow k -1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 4.051 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.053 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 4.053 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log k)))) into 0 4.054 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 4.054 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (* 0 (cbrt 1.0))) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.057 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 4.058 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 4.058 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.063 * [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 4.063 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 4.064 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 4.065 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.065 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.073 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 4.074 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 4.075 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.076 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 4.076 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.094 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 4.095 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 4.097 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.114 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 4.116 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 4.119 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.120 * [backup-simplify]: Simplify (+ (* (pow k -1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 4.120 * [backup-simplify]: Simplify (cbrt (/ 1.0 (sqrt (/ 1 k)))) into (* (pow k 1/6) (cbrt 1.0)) 4.120 * [approximate]: Taking taylor expansion of (* (pow k 1/6) (cbrt 1.0)) in (k) around 0 4.120 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (cbrt 1.0)) in k 4.120 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.120 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.121 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.121 * [taylor]: Taking taylor expansion of 1/6 in k 4.121 * [backup-simplify]: Simplify 1/6 into 1/6 4.121 * [taylor]: Taking taylor expansion of (log k) in k 4.121 * [taylor]: Taking taylor expansion of k in k 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (log 1) into 0 4.121 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 4.121 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 4.121 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 4.121 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 4.121 * [taylor]: Taking taylor expansion of 1.0 in k 4.121 * [backup-simplify]: Simplify 1.0 into 1.0 4.122 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 4.122 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 4.122 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (cbrt 1.0)) in k 4.122 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.122 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.122 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.122 * [taylor]: Taking taylor expansion of 1/6 in k 4.122 * [backup-simplify]: Simplify 1/6 into 1/6 4.122 * [taylor]: Taking taylor expansion of (log k) in k 4.122 * [taylor]: Taking taylor expansion of k in k 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (log 1) into 0 4.123 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 4.123 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 4.123 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 4.123 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 4.123 * [taylor]: Taking taylor expansion of 1.0 in k 4.123 * [backup-simplify]: Simplify 1.0 into 1.0 4.123 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 4.124 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 4.124 * [backup-simplify]: Simplify (* (pow k 1/6) (cbrt 1.0)) into (* (pow k 1/6) (cbrt 1.0)) 4.124 * [backup-simplify]: Simplify (* (pow k 1/6) (cbrt 1.0)) into (* (pow k 1/6) (cbrt 1.0)) 4.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.125 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 4.126 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log k))) into 0 4.126 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 4.127 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (* 0 (cbrt 1.0))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 4.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.129 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 4.130 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log k)))) into 0 4.130 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.131 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 4.134 * [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 4.135 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 4.135 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 4.136 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.137 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 4.143 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.144 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 4.145 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 4.146 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 4.156 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.156 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 4.158 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 4.159 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 4.184 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.185 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 4.186 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 4.189 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.190 * [backup-simplify]: Simplify (+ (* (pow k 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/6) (cbrt 1.0)) into (* (pow (/ 1 k) 1/6) (cbrt 1.0)) 4.190 * [backup-simplify]: Simplify (cbrt (/ 1.0 (sqrt (/ 1 (- k))))) into (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) 4.190 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) in (k) around 0 4.190 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) in k 4.191 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/3) in k 4.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 k)))))) in k 4.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 k))))) in k 4.191 * [taylor]: Taking taylor expansion of 1/3 in k 4.191 * [backup-simplify]: Simplify 1/3 into 1/3 4.191 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 4.191 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.191 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.191 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.191 * [taylor]: Taking taylor expansion of -1 in k 4.191 * [backup-simplify]: Simplify -1 into -1 4.191 * [taylor]: Taking taylor expansion of k in k 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [backup-simplify]: Simplify (/ -1 1) into -1 4.191 * [backup-simplify]: Simplify (sqrt 0) into 0 4.192 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.192 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 4.193 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.193 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 4.194 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 4.194 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 4.194 * [taylor]: Taking taylor expansion of 1.0 in k 4.194 * [backup-simplify]: Simplify 1.0 into 1.0 4.194 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 4.195 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 4.195 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/3) (cbrt 1.0)) in k 4.195 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/3) in k 4.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 k)))))) in k 4.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 k))))) in k 4.195 * [taylor]: Taking taylor expansion of 1/3 in k 4.195 * [backup-simplify]: Simplify 1/3 into 1/3 4.195 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 4.195 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.195 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.195 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.195 * [taylor]: Taking taylor expansion of -1 in k 4.195 * [backup-simplify]: Simplify -1 into -1 4.195 * [taylor]: Taking taylor expansion of k in k 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [backup-simplify]: Simplify (/ -1 1) into -1 4.196 * [backup-simplify]: Simplify (sqrt 0) into 0 4.196 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.197 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 4.197 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.197 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 4.198 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 4.198 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 4.198 * [taylor]: Taking taylor expansion of 1.0 in k 4.198 * [backup-simplify]: Simplify 1.0 into 1.0 4.199 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 4.199 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 4.200 * [backup-simplify]: Simplify (* (pow +nan.0 1/3) (cbrt 1.0)) into (* (pow +nan.0 1/3) (cbrt 1.0)) 4.201 * [backup-simplify]: Simplify (* (pow +nan.0 1/3) (cbrt 1.0)) into (* (pow +nan.0 1/3) (cbrt 1.0)) 4.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.204 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.210 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 4.214 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 4.216 * [backup-simplify]: Simplify (+ (* (pow +nan.0 1/3) 0) (* (* +nan.0 (pow +nan.0 1/3)) (cbrt 1.0))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 4.219 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 4.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 4.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.224 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 4.235 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 4.240 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 4.244 * [backup-simplify]: Simplify (+ (* (pow +nan.0 1/3) 0) (+ (* (* +nan.0 (pow +nan.0 1/3)) 0) (* (* +nan.0 (pow +nan.0 1/3)) (cbrt 1.0)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 4.246 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) into (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) 4.251 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (pow +nan.0 1/3) (cbrt 1.0)))) (/ 1 (- k))) (* (pow +nan.0 1/3) (cbrt 1.0)))) into (- (* (pow +nan.0 1/3) (cbrt 1.0)) (+ (* +nan.0 (* (/ (cbrt 1.0) k) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ (cbrt 1.0) (pow k 2)) (pow +nan.0 1/3)))))) 4.251 * * * [progress]: simplifying candidates 4.253 * [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 (cbrt (/ 1.0 (sqrt k)))) (exp (cbrt (/ 1.0 (sqrt k)))) (cbrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))) (cbrt (cbrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))) (cbrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (cbrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (cbrt (/ (cbrt 1.0) (sqrt k))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (cbrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) (sqrt k))) (cbrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt 1))) (cbrt (/ (sqrt 1.0) (sqrt k))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) (sqrt k))) (cbrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (/ 1.0 (cbrt (sqrt k)))) (cbrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (cbrt (/ 1.0 (sqrt (cbrt k)))) (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt 1))) (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1 1)) (cbrt (/ 1.0 (sqrt k))) (cbrt 1) (cbrt (/ 1.0 (sqrt k))) (cbrt 1.0) (cbrt (/ 1 (sqrt k))) (cbrt 1.0) (cbrt (sqrt k)) (* (cbrt (cbrt (/ 1.0 (sqrt k)))) (cbrt (cbrt (/ 1.0 (sqrt k))))) (cbrt (cbrt (/ 1.0 (sqrt k)))) (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k)))) (log (cbrt (/ 1.0 (sqrt k)))) (exp (cbrt (/ 1.0 (sqrt k)))) (cbrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))) (cbrt (cbrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))) (cbrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (cbrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (cbrt (/ (cbrt 1.0) (sqrt k))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (cbrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) (sqrt k))) (cbrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt 1))) (cbrt (/ (sqrt 1.0) (sqrt k))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) (sqrt k))) (cbrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (/ 1.0 (cbrt (sqrt k)))) (cbrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (cbrt (/ 1.0 (sqrt (cbrt k)))) (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt 1))) (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1 1)) (cbrt (/ 1.0 (sqrt k))) (cbrt 1) (cbrt (/ 1.0 (sqrt k))) (cbrt 1.0) (cbrt (/ 1 (sqrt k))) (cbrt 1.0) (cbrt (sqrt k)) (* (cbrt (cbrt (/ 1.0 (sqrt k)))) (cbrt (cbrt (/ 1.0 (sqrt k))))) (cbrt (cbrt (/ 1.0 (sqrt k)))) (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k)))) (log (cbrt (/ 1.0 (sqrt k)))) (exp (cbrt (/ 1.0 (sqrt k)))) (cbrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))) (cbrt (cbrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))) (cbrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (cbrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (cbrt (/ (cbrt 1.0) (sqrt k))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (cbrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) (sqrt k))) (cbrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt 1))) (cbrt (/ (sqrt 1.0) (sqrt k))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) (sqrt k))) (cbrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (/ 1.0 (cbrt (sqrt k)))) (cbrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (cbrt (/ 1.0 (sqrt (cbrt k)))) (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt 1))) (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1 1)) (cbrt (/ 1.0 (sqrt k))) (cbrt 1) (cbrt (/ 1.0 (sqrt k))) (cbrt 1.0) (cbrt (/ 1 (sqrt k))) (cbrt 1.0) (cbrt (sqrt k)) (* (cbrt (cbrt (/ 1.0 (sqrt k)))) (cbrt (cbrt (/ 1.0 (sqrt k))))) (cbrt (cbrt (/ 1.0 (sqrt k)))) (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k)))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (pow (/ 1 k) 1/6) (cbrt 1.0)) (* (pow (/ 1 k) 1/6) (cbrt 1.0)) (- (* (pow +nan.0 1/3) (cbrt 1.0)) (+ (* +nan.0 (* (/ (cbrt 1.0) k) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ (cbrt 1.0) (pow k 2)) (pow +nan.0 1/3)))))) (* (pow (/ 1 k) 1/6) (cbrt 1.0)) (* (pow (/ 1 k) 1/6) (cbrt 1.0)) (- (* (pow +nan.0 1/3) (cbrt 1.0)) (+ (* +nan.0 (* (/ (cbrt 1.0) k) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ (cbrt 1.0) (pow k 2)) (pow +nan.0 1/3)))))) (* (pow (/ 1 k) 1/6) (cbrt 1.0)) (* (pow (/ 1 k) 1/6) (cbrt 1.0)) (- (* (pow +nan.0 1/3) (cbrt 1.0)) (+ (* +nan.0 (* (/ (cbrt 1.0) k) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ (cbrt 1.0) (pow k 2)) (pow +nan.0 1/3)))))) 4.254 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0)) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (* 1 (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ h2 h0)) (pow (* (* h0 h4) h3) (/ h1 h0)) (pow (* (* h0 h4) h3) (* (cbrt (/ (- h2 h1) h0)) (cbrt (/ (- h2 h1) h0)))) (pow (* (* h0 h4) h3) (sqrt (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (* (cbrt (- h2 h1)) (cbrt (- h2 h1))) 1)) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (sqrt (- h2 h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) (sqrt h0))) (pow (* (* h0 h4) h3) (/ (+ (sqrt h2) (sqrt h1)) 1)) (pow (* (* h0 h4) h3) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h4) h3) (/ 1 (sqrt h0))) (pow (* (* h0 h4) h3) (/ 1 1)) (pow (* (* h0 h4) h3) 1) (pow (* (* h0 h4) h3) (- h2 h1)) (pow (* h0 h4) (/ (- h2 h1) h0)) (pow h3 (/ (- h2 h1) h0)) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (exp (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2)) (log (cbrt (/ h2 (sqrt h1)))) (exp (cbrt (/ h2 (sqrt h1)))) (cbrt (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1))))) (cbrt (cbrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (cbrt (/ (cbrt h2) (cbrt (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1))))) (cbrt (/ (cbrt h2) (sqrt (cbrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (cbrt (/ (cbrt h2) (sqrt (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt 1))) (cbrt (/ (cbrt h2) (sqrt h1))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (cbrt (/ (cbrt h2) (sqrt (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) 1)) (cbrt (/ (cbrt h2) (sqrt h1))) (cbrt (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (cbrt (/ (sqrt h2) (cbrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1))))) (cbrt (/ (sqrt h2) (sqrt (cbrt h1)))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt 1))) (cbrt (/ (sqrt h2) (sqrt h1))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) 1)) (cbrt (/ (sqrt h2) (sqrt h1))) (cbrt (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (cbrt (/ h2 (cbrt (sqrt h1)))) (cbrt (/ 1 (sqrt (* (cbrt h1) (cbrt h1))))) (cbrt (/ h2 (sqrt (cbrt h1)))) (cbrt (/ 1 (sqrt (sqrt h1)))) (cbrt (/ h2 (sqrt (sqrt h1)))) (cbrt (/ 1 (sqrt 1))) (cbrt (/ h2 (sqrt h1))) (cbrt (/ 1 (sqrt (sqrt h1)))) (cbrt (/ h2 (sqrt (sqrt h1)))) (cbrt (/ 1 1)) (cbrt (/ h2 (sqrt h1))) (cbrt 1) (cbrt (/ h2 (sqrt h1))) (cbrt h2) (cbrt (/ 1 (sqrt h1))) (cbrt h2) (cbrt (sqrt h1)) (* (cbrt (cbrt (/ h2 (sqrt h1)))) (cbrt (cbrt (/ h2 (sqrt h1))))) (cbrt (cbrt (/ h2 (sqrt h1)))) (* (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1)))) (sqrt (cbrt (/ h2 (sqrt h1)))) (sqrt (cbrt (/ h2 (sqrt h1)))) (log (cbrt (/ h2 (sqrt h1)))) (exp (cbrt (/ h2 (sqrt h1)))) (cbrt (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1))))) (cbrt (cbrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (cbrt (/ (cbrt h2) (cbrt (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1))))) (cbrt (/ (cbrt h2) (sqrt (cbrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (cbrt (/ (cbrt h2) (sqrt (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt 1))) (cbrt (/ (cbrt h2) (sqrt h1))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (cbrt (/ (cbrt h2) (sqrt (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) 1)) (cbrt (/ (cbrt h2) (sqrt h1))) (cbrt (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (cbrt (/ (sqrt h2) (cbrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1))))) (cbrt (/ (sqrt h2) (sqrt (cbrt h1)))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt 1))) (cbrt (/ (sqrt h2) (sqrt h1))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) 1)) (cbrt (/ (sqrt h2) (sqrt h1))) (cbrt (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (cbrt (/ h2 (cbrt (sqrt h1)))) (cbrt (/ 1 (sqrt (* (cbrt h1) (cbrt h1))))) (cbrt (/ h2 (sqrt (cbrt h1)))) (cbrt (/ 1 (sqrt (sqrt h1)))) (cbrt (/ h2 (sqrt (sqrt h1)))) (cbrt (/ 1 (sqrt 1))) (cbrt (/ h2 (sqrt h1))) (cbrt (/ 1 (sqrt (sqrt h1)))) (cbrt (/ h2 (sqrt (sqrt h1)))) (cbrt (/ 1 1)) (cbrt (/ h2 (sqrt h1))) (cbrt 1) (cbrt (/ h2 (sqrt h1))) (cbrt h2) (cbrt (/ 1 (sqrt h1))) (cbrt h2) (cbrt (sqrt h1)) (* (cbrt (cbrt (/ h2 (sqrt h1)))) (cbrt (cbrt (/ h2 (sqrt h1))))) (cbrt (cbrt (/ h2 (sqrt h1)))) (* (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1)))) (sqrt (cbrt (/ h2 (sqrt h1)))) (sqrt (cbrt (/ h2 (sqrt h1)))) (log (cbrt (/ h2 (sqrt h1)))) (exp (cbrt (/ h2 (sqrt h1)))) (cbrt (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1))))) (cbrt (cbrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (sqrt (/ h2 (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (cbrt (/ (cbrt h2) (cbrt (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h1) (cbrt h1))))) (cbrt (/ (cbrt h2) (sqrt (cbrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (cbrt (/ (cbrt h2) (sqrt (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt 1))) (cbrt (/ (cbrt h2) (sqrt h1))) (cbrt (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h1)))) (cbrt (/ (cbrt h2) (sqrt (sqrt h1)))) (cbrt (/ (* (cbrt h2) (cbrt h2)) 1)) (cbrt (/ (cbrt h2) (sqrt h1))) (cbrt (/ (sqrt h2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (cbrt (/ (sqrt h2) (cbrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt (* (cbrt h1) (cbrt h1))))) (cbrt (/ (sqrt h2) (sqrt (cbrt h1)))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt 1))) (cbrt (/ (sqrt h2) (sqrt h1))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) (sqrt (sqrt h1)))) (cbrt (/ (sqrt h2) 1)) (cbrt (/ (sqrt h2) (sqrt h1))) (cbrt (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (cbrt (/ h2 (cbrt (sqrt h1)))) (cbrt (/ 1 (sqrt (* (cbrt h1) (cbrt h1))))) (cbrt (/ h2 (sqrt (cbrt h1)))) (cbrt (/ 1 (sqrt (sqrt h1)))) (cbrt (/ h2 (sqrt (sqrt h1)))) (cbrt (/ 1 (sqrt 1))) (cbrt (/ h2 (sqrt h1))) (cbrt (/ 1 (sqrt (sqrt h1)))) (cbrt (/ h2 (sqrt (sqrt h1)))) (cbrt (/ 1 1)) (cbrt (/ h2 (sqrt h1))) (cbrt 1) (cbrt (/ h2 (sqrt h1))) (cbrt h2) (cbrt (/ 1 (sqrt h1))) (cbrt h2) (cbrt (sqrt h1)) (* (cbrt (cbrt (/ h2 (sqrt h1)))) (cbrt (cbrt (/ h2 (sqrt h1))))) (cbrt (cbrt (/ h2 (sqrt h1)))) (* (* (cbrt (/ h2 (sqrt h1))) (cbrt (/ h2 (sqrt h1)))) (cbrt (/ h2 (sqrt h1)))) (sqrt (cbrt (/ h2 (sqrt h1)))) (sqrt (cbrt (/ h2 (sqrt h1)))) (- (+ (* 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)))))) (* (pow (/ 1 h1) 1/6) (cbrt h2)) (* (pow (/ 1 h1) 1/6) (cbrt h2)) (- (* (pow h9 1/3) (cbrt h2)) (+ (* h9 (* (/ (cbrt h2) h1) (pow h9 1/3))) (- (* h9 (* (/ (cbrt h2) (pow h1 2)) (pow h9 1/3)))))) (* (pow (/ 1 h1) 1/6) (cbrt h2)) (* (pow (/ 1 h1) 1/6) (cbrt h2)) (- (* (pow h9 1/3) (cbrt h2)) (+ (* h9 (* (/ (cbrt h2) h1) (pow h9 1/3))) (- (* h9 (* (/ (cbrt h2) (pow h1 2)) (pow h9 1/3)))))) (* (pow (/ 1 h1) 1/6) (cbrt h2)) (* (pow (/ 1 h1) 1/6) (cbrt h2)) (- (* (pow h9 1/3) (cbrt h2)) (+ (* h9 (* (/ (cbrt h2) h1) (pow h9 1/3))) (- (* h9 (* (/ (cbrt h2) (pow h1 2)) (pow h9 1/3)))))) 4.260 * * [simplify]: iteration 0 : 462 enodes (cost 1152 ) 4.267 * * [simplify]: iteration 1 : 1478 enodes (cost 1107 ) 4.294 * * [simplify]: iteration 2 : 5002 enodes (cost 1061 ) 4.299 * * * [progress]: adding candidates to table 4.867 * [progress]: [Phase 3 of 3] Extracting. 4.867 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 4.871 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 4.871 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 4.918 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 4.960 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 5.006 * * * [regime]: Found split indices: #