21.448 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.075 * [progress]: [Phase 2 of 3] Improving. 0.075 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.076 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.076 * * [simplify]: iteration 0: 6 enodes 0.078 * * [simplify]: iteration 1: 11 enodes 0.081 * * [simplify]: iteration 2: 12 enodes 0.084 * * [simplify]: iteration complete: 12 enodes 0.084 * * [simplify]: Extracting #0: cost 1 inf + 0 0.084 * * [simplify]: Extracting #1: cost 4 inf + 0 0.084 * * [simplify]: Extracting #2: cost 6 inf + 0 0.084 * * [simplify]: Extracting #3: cost 4 inf + 183 0.085 * * [simplify]: Extracting #4: cost 0 inf + 560 0.085 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.087 * * [progress]: iteration 1 / 4 0.087 * * * [progress]: picking best candidate 0.092 * * * * [pick]: Picked # 0.092 * * * [progress]: localizing error 0.116 * * * [progress]: generating rewritten candidates 0.116 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.130 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.133 * * * [progress]: generating series expansions 0.133 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.134 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.134 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.134 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.134 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.134 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of 1 in N 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (+ 0 1) into 1 0.134 * [backup-simplify]: Simplify (log 1) into 0 0.134 * [taylor]: Taking taylor expansion of (log N) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (log 1) into 0 0.135 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.135 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.135 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of 1 in N 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ 0 1) into 1 0.135 * [backup-simplify]: Simplify (log 1) into 0 0.135 * [taylor]: Taking taylor expansion of (log N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (log 1) into 0 0.136 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.136 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.136 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.136 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.143 * [backup-simplify]: Simplify -1/2 into -1/2 0.143 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.143 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.143 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.143 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of 1 in N 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (log 1) into 0 0.144 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of 1 in N 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.147 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.147 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.147 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 1) into 1 0.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.178 * [backup-simplify]: Simplify -1/2 into -1/2 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [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 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.192 * [backup-simplify]: Simplify 1/3 into 1/3 0.192 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.193 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.193 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.193 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.193 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.193 * [taylor]: Taking taylor expansion of 1 in N 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (- 1) into -1 0.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.194 * [backup-simplify]: Simplify (log -1) into (log -1) 0.194 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.194 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.194 * [taylor]: Taking taylor expansion of -1 in N 0.194 * [backup-simplify]: Simplify -1 into -1 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ -1 1) into -1 0.195 * [backup-simplify]: Simplify (log -1) into (log -1) 0.195 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.195 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.195 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.195 * [taylor]: Taking taylor expansion of 1 in N 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (- 1) into -1 0.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.197 * [backup-simplify]: Simplify (log -1) into (log -1) 0.197 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.197 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.197 * [taylor]: Taking taylor expansion of -1 in N 0.197 * [backup-simplify]: Simplify -1 into -1 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ -1 1) into -1 0.198 * [backup-simplify]: Simplify (log -1) into (log -1) 0.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.200 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.200 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ -1 0) into -1 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.215 * [backup-simplify]: Simplify -1/2 into -1/2 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [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 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.223 * [backup-simplify]: Simplify -1/3 into -1/3 0.223 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.223 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.223 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.223 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.223 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.223 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.223 * [taylor]: Taking taylor expansion of N in N 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of 1 in N 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (+ 0 1) into 1 0.225 * [backup-simplify]: Simplify (log 1) into 0 0.225 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.225 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of 1 in N 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ 0 1) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.231 * [backup-simplify]: Simplify -1/2 into -1/2 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.236 * [backup-simplify]: Simplify 1/3 into 1/3 0.237 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.237 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.237 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.237 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of 1 in N 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [backup-simplify]: Simplify (log 1) into 0 0.238 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.238 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [taylor]: Taking taylor expansion of 1 in N 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [backup-simplify]: Simplify (log 1) into 0 0.240 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.240 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 1) into 1 0.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.246 * [backup-simplify]: Simplify -1/2 into -1/2 0.247 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.247 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.247 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.247 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.247 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.247 * [taylor]: Taking taylor expansion of 1 in N 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.247 * [taylor]: Taking taylor expansion of N in N 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.249 * [backup-simplify]: Simplify (log -1) into (log -1) 0.249 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.249 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.249 * [taylor]: Taking taylor expansion of 1 in N 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify (- 1) into -1 0.250 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.250 * [backup-simplify]: Simplify (log -1) into (log -1) 0.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.251 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.253 * [backup-simplify]: Simplify -1 into -1 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.255 * [backup-simplify]: Simplify -1/2 into -1/2 0.256 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.256 * * * [progress]: simplifying candidates 0.256 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.256 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.257 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.257 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.258 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.258 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.258 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.258 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.258 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.258 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.258 * [simplify]: Simplifying: (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.259 * * [simplify]: iteration 0: 97 enodes 0.280 * * [simplify]: iteration 1: 199 enodes 0.365 * * [simplify]: iteration 2: 463 enodes 0.548 * * [simplify]: iteration 3: 1350 enodes 1.496 * * [simplify]: iteration 4: 3864 enodes 2.472 * * [simplify]: iteration complete: 5000 enodes 2.472 * * [simplify]: Extracting #0: cost 41 inf + 0 2.473 * * [simplify]: Extracting #1: cost 269 inf + 1 2.476 * * [simplify]: Extracting #2: cost 697 inf + 1583 2.482 * * [simplify]: Extracting #3: cost 740 inf + 22713 2.499 * * [simplify]: Extracting #4: cost 379 inf + 101877 2.532 * * [simplify]: Extracting #5: cost 193 inf + 183061 2.572 * * [simplify]: Extracting #6: cost 32 inf + 221917 2.607 * * [simplify]: Extracting #7: cost 0 inf + 231379 2.640 * [simplify]: Simplified to: (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (* (log N) (log N)) (log N))) (+ (* (log (+ 1 N)) (+ (log (+ 1 N)) (log N))) (* (log N) (log N))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log N) (log (+ 1 N))) (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ 1 (* N (* N N)))) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (+ (- N (log N)) (* -1/2 (* N N))) (+ (/ 1 N) (/ (+ (/ 1/3 N) -1/2) (* N N))) (+ (/ 1 N) (/ (+ (/ 1/3 N) -1/2) (* N N))) (+ (* (+ (* 1/3 N) -1/2) (* N N)) N) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) 2.642 * * * [progress]: adding candidates to table 2.829 * * [progress]: iteration 2 / 4 2.829 * * * [progress]: picking best candidate 2.847 * * * * [pick]: Picked # 2.847 * * * [progress]: localizing error 2.864 * * * [progress]: generating rewritten candidates 2.864 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.871 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.899 * * * [progress]: generating series expansions 2.899 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.899 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 2.899 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.899 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.899 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.899 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.899 * [taylor]: Taking taylor expansion of N in N 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [taylor]: Taking taylor expansion of 1 in N 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [taylor]: Taking taylor expansion of N in N 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (+ 0 1) into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [backup-simplify]: Simplify (log 1) into 0 2.901 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.901 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.901 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.901 * [taylor]: Taking taylor expansion of N in N 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of 1 in N 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of N in N 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (+ 0 1) into 1 2.902 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [backup-simplify]: Simplify (log 1) into 0 2.903 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.903 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.904 * [backup-simplify]: Simplify (+ 1 0) into 1 2.905 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.906 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.910 * [backup-simplify]: Simplify -1/2 into -1/2 2.910 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.910 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.910 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.910 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.910 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.910 * [taylor]: Taking taylor expansion of N in N 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.911 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.911 * [taylor]: Taking taylor expansion of N in N 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (/ 1 1) into 1 2.911 * [taylor]: Taking taylor expansion of 1 in N 2.911 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (+ 1 0) into 1 2.912 * [backup-simplify]: Simplify (* 0 1) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ 0 1) into 1 2.914 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.914 * [backup-simplify]: Simplify (log 1) into 0 2.914 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.914 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.914 * [taylor]: Taking taylor expansion of N in N 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.914 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.914 * [taylor]: Taking taylor expansion of N in N 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (/ 1 1) into 1 2.915 * [taylor]: Taking taylor expansion of 1 in N 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (+ 1 0) into 1 2.916 * [backup-simplify]: Simplify (* 0 1) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (+ 0 1) into 1 2.918 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.918 * [backup-simplify]: Simplify (log 1) into 0 2.918 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.922 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ 0 0) into 0 2.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.927 * [backup-simplify]: Simplify -1/2 into -1/2 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ 0 0) into 0 2.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.935 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.935 * [backup-simplify]: Simplify 1/3 into 1/3 2.935 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.935 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.935 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.935 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.935 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.935 * [taylor]: Taking taylor expansion of -1 in N 2.935 * [backup-simplify]: Simplify -1 into -1 2.936 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.936 * [taylor]: Taking taylor expansion of N in N 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.936 * [taylor]: Taking taylor expansion of 1 in N 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.936 * [taylor]: Taking taylor expansion of N in N 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [backup-simplify]: Simplify (- 1) into -1 2.937 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.937 * [backup-simplify]: Simplify (* 0 -1) into 0 2.938 * [backup-simplify]: Simplify (* -1 0) into 0 2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (- 0) into 0 2.939 * [backup-simplify]: Simplify (+ 1 0) into 1 2.940 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.941 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.941 * [backup-simplify]: Simplify (log 1) into 0 2.941 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.941 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.941 * [taylor]: Taking taylor expansion of -1 in N 2.941 * [backup-simplify]: Simplify -1 into -1 2.941 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.941 * [taylor]: Taking taylor expansion of N in N 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 1 into 1 2.941 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.941 * [taylor]: Taking taylor expansion of 1 in N 2.941 * [backup-simplify]: Simplify 1 into 1 2.941 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.941 * [taylor]: Taking taylor expansion of N in N 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.942 * [backup-simplify]: Simplify (- 1) into -1 2.943 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.943 * [backup-simplify]: Simplify (* 0 -1) into 0 2.944 * [backup-simplify]: Simplify (* -1 0) into 0 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ 1 0) into 1 2.946 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.946 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.947 * [backup-simplify]: Simplify (log 1) into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.951 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.952 * [backup-simplify]: Simplify -1 into -1 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (- 0) into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.960 * [backup-simplify]: Simplify -1/2 into -1/2 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.965 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.971 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 2.971 * [backup-simplify]: Simplify -1/3 into -1/3 2.971 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.971 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.972 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 2.972 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.972 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.972 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.972 * [taylor]: Taking taylor expansion of N in N 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [taylor]: Taking taylor expansion of 1 in N 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [taylor]: Taking taylor expansion of N in N 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (+ 0 1) into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.973 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.973 * [taylor]: Taking taylor expansion of N in N 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of 1 in N 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of N in N 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (+ 0 1) into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (+ 1 0) into 1 2.975 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (+ 0 0) into 0 2.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (+ 0 0) into 0 2.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.986 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.986 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.986 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.986 * [taylor]: Taking taylor expansion of N in N 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.986 * [taylor]: Taking taylor expansion of N in N 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [taylor]: Taking taylor expansion of 1 in N 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.986 * [taylor]: Taking taylor expansion of N in N 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.987 * [taylor]: Taking taylor expansion of N in N 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (/ 1 1) into 1 2.987 * [taylor]: Taking taylor expansion of 1 in N 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (+ 1 0) into 1 2.987 * [backup-simplify]: Simplify (* 0 1) into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (+ 0 1) into 1 2.989 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.990 * [backup-simplify]: Simplify 1 into 1 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (+ 0 0) into 0 2.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ 0 0) into 0 2.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (+ 0 0) into 0 2.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.996 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify (+ 0 0) into 0 2.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ 0 0) into 0 3.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.000 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.000 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.000 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.000 * [taylor]: Taking taylor expansion of -1 in N 3.000 * [backup-simplify]: Simplify -1 into -1 3.000 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.000 * [taylor]: Taking taylor expansion of N in N 3.000 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.000 * [taylor]: Taking taylor expansion of 1 in N 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.000 * [taylor]: Taking taylor expansion of N in N 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.001 * [taylor]: Taking taylor expansion of -1 in N 3.001 * [backup-simplify]: Simplify -1 into -1 3.001 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.001 * [taylor]: Taking taylor expansion of N in N 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.001 * [taylor]: Taking taylor expansion of 1 in N 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.001 * [taylor]: Taking taylor expansion of N in N 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [backup-simplify]: Simplify (- 1) into -1 3.002 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.002 * [backup-simplify]: Simplify (* 0 -1) into 0 3.002 * [backup-simplify]: Simplify (* -1 0) into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (- 0) into 0 3.003 * [backup-simplify]: Simplify (+ 1 0) into 1 3.004 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.004 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.004 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (- 0) into 0 3.005 * [backup-simplify]: Simplify (+ 0 0) into 0 3.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.006 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.006 * [backup-simplify]: Simplify -1 into -1 3.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (- 0) into 0 3.008 * [backup-simplify]: Simplify (+ 0 0) into 0 3.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.011 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- 0) into 0 3.013 * [backup-simplify]: Simplify (+ 0 0) into 0 3.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.016 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (- 0) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.021 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (- 0) into 0 3.023 * [backup-simplify]: Simplify (+ 0 0) into 0 3.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.026 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (- 0) into 0 3.028 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.032 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (- 0) into 0 3.034 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.038 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.039 * * * [progress]: simplifying candidates 3.039 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 3.039 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 3.040 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 3.040 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 3.041 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 3.041 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 3.042 * [simplify]: Simplifying: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 3.042 * * [simplify]: iteration 0: 102 enodes 3.065 * * [simplify]: iteration 1: 233 enodes 3.133 * * [simplify]: iteration 2: 578 enodes 3.406 * * [simplify]: iteration 3: 2187 enodes 4.037 * * [simplify]: iteration complete: 5300 enodes 4.038 * * [simplify]: Extracting #0: cost 65 inf + 0 4.040 * * [simplify]: Extracting #1: cost 756 inf + 2 4.057 * * [simplify]: Extracting #2: cost 1734 inf + 5433 4.072 * * [simplify]: Extracting #3: cost 1883 inf + 94408 4.127 * * [simplify]: Extracting #4: cost 861 inf + 336335 4.193 * * [simplify]: Extracting #5: cost 122 inf + 569476 4.291 * * [simplify]: Extracting #6: cost 0 inf + 608229 4.373 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N)) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (+ (* N (- (* N N) N)) N) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- (+ N (* (* N N) -1/2)) (log N)) (+ (/ 1 N) (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2))) (+ (/ 1 N) (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 4.378 * * * [progress]: adding candidates to table 4.556 * * [progress]: iteration 3 / 4 4.556 * * * [progress]: picking best candidate 4.563 * * * * [pick]: Picked # 4.564 * * * [progress]: localizing error 4.580 * * * [progress]: generating rewritten candidates 4.580 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.593 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.599 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.623 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 4.635 * * * [progress]: generating series expansions 4.635 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.635 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 4.636 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 4.636 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 4.636 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 4.636 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 4.636 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.636 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.636 * [taylor]: Taking taylor expansion of N in N 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [taylor]: Taking taylor expansion of 1 in N 4.636 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (+ 0 1) into 1 4.637 * [backup-simplify]: Simplify (sqrt 1) into 1 4.637 * [backup-simplify]: Simplify (+ 1 0) into 1 4.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.638 * [taylor]: Taking taylor expansion of N in N 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.639 * [backup-simplify]: Simplify (/ 1 1) into 1 4.639 * [backup-simplify]: Simplify (* 1 1) into 1 4.639 * [backup-simplify]: Simplify (log 1) into 0 4.639 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 4.639 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.639 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.640 * [taylor]: Taking taylor expansion of N in N 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.640 * [taylor]: Taking taylor expansion of 1 in N 4.640 * [backup-simplify]: Simplify 1 into 1 4.640 * [backup-simplify]: Simplify (+ 0 1) into 1 4.640 * [backup-simplify]: Simplify (sqrt 1) into 1 4.641 * [backup-simplify]: Simplify (+ 1 0) into 1 4.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.642 * [backup-simplify]: Simplify (log 1) into 0 4.642 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 4.642 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 4.642 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 4.642 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.642 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.642 * [taylor]: Taking taylor expansion of N in N 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [taylor]: Taking taylor expansion of 1 in N 4.642 * [backup-simplify]: Simplify 1 into 1 4.643 * [backup-simplify]: Simplify (+ 0 1) into 1 4.643 * [backup-simplify]: Simplify (sqrt 1) into 1 4.643 * [backup-simplify]: Simplify (+ 1 0) into 1 4.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.644 * [taylor]: Taking taylor expansion of N in N 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.645 * [backup-simplify]: Simplify (/ 1 1) into 1 4.645 * [backup-simplify]: Simplify (* 1 1) into 1 4.645 * [backup-simplify]: Simplify (log 1) into 0 4.646 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 4.646 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.646 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.646 * [taylor]: Taking taylor expansion of N in N 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [taylor]: Taking taylor expansion of 1 in N 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (+ 0 1) into 1 4.646 * [backup-simplify]: Simplify (sqrt 1) into 1 4.647 * [backup-simplify]: Simplify (+ 1 0) into 1 4.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.648 * [backup-simplify]: Simplify (log 1) into 0 4.648 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.649 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 4.649 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 4.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.653 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.653 * [backup-simplify]: Simplify 1 into 1 4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.655 * [backup-simplify]: Simplify (+ 0 0) into 0 4.656 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 4.660 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 4.661 * [backup-simplify]: Simplify (+ 0 0) into 0 4.662 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 4.665 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 4.665 * [backup-simplify]: Simplify -1/2 into -1/2 4.666 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 4.666 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 N)))) (log (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 4.666 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 4.666 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 4.666 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 4.666 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 4.666 * [taylor]: Taking taylor expansion of N in N 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.666 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.666 * [taylor]: Taking taylor expansion of N in N 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (/ 1 1) into 1 4.667 * [taylor]: Taking taylor expansion of 1 in N 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (+ 1 0) into 1 4.667 * [backup-simplify]: Simplify (sqrt 0) into 0 4.669 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.669 * [backup-simplify]: Simplify (* 0 0) into 0 4.670 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (+ 0 1) into 1 4.674 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.677 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.678 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.678 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 4.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.678 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.678 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.678 * [taylor]: Taking taylor expansion of N in N 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify (/ 1 1) into 1 4.679 * [taylor]: Taking taylor expansion of 1 in N 4.679 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify (+ 1 0) into 1 4.680 * [backup-simplify]: Simplify (sqrt 0) into 0 4.681 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.681 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.682 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 4.682 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 4.682 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 4.682 * [taylor]: Taking taylor expansion of N in N 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.682 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.682 * [taylor]: Taking taylor expansion of N in N 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify (/ 1 1) into 1 4.682 * [taylor]: Taking taylor expansion of 1 in N 4.682 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (+ 1 0) into 1 4.683 * [backup-simplify]: Simplify (sqrt 0) into 0 4.684 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.685 * [backup-simplify]: Simplify (* 0 0) into 0 4.685 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.687 * [backup-simplify]: Simplify (+ 0 1) into 1 4.690 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.693 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.693 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.694 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 4.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.694 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.694 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.694 * [taylor]: Taking taylor expansion of N in N 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [backup-simplify]: Simplify (/ 1 1) into 1 4.694 * [taylor]: Taking taylor expansion of 1 in N 4.694 * [backup-simplify]: Simplify 1 into 1 4.695 * [backup-simplify]: Simplify (+ 1 0) into 1 4.695 * [backup-simplify]: Simplify (sqrt 0) into 0 4.696 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.697 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.698 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 4.699 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 4.700 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify (+ 0 0) into 0 4.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.709 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (+ 0 1) into 1 4.723 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.730 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.730 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.731 * [backup-simplify]: Simplify (+ 0 0) into 0 4.736 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.740 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 4.761 * [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 4.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.762 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.780 * [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 4.780 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.780 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.783 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.783 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 (- N))))) (log (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 4.783 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 4.783 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 4.783 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 4.783 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.783 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.783 * [taylor]: Taking taylor expansion of 1 in N 4.783 * [backup-simplify]: Simplify 1 into 1 4.783 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.783 * [taylor]: Taking taylor expansion of N in N 4.783 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify 1 into 1 4.784 * [backup-simplify]: Simplify (/ 1 1) into 1 4.784 * [backup-simplify]: Simplify (- 1) into -1 4.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.785 * [backup-simplify]: Simplify (sqrt 0) into 0 4.786 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.786 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.786 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 4.787 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 4.787 * [taylor]: Taking taylor expansion of -1 in N 4.787 * [backup-simplify]: Simplify -1 into -1 4.787 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 4.787 * [taylor]: Taking taylor expansion of N in N 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.787 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.787 * [taylor]: Taking taylor expansion of 1 in N 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.787 * [taylor]: Taking taylor expansion of N in N 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [backup-simplify]: Simplify (/ 1 1) into 1 4.787 * [backup-simplify]: Simplify (- 1) into -1 4.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.788 * [backup-simplify]: Simplify (sqrt 0) into 0 4.788 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.789 * [backup-simplify]: Simplify (* 0 0) into 0 4.789 * [backup-simplify]: Simplify (* -1 0) into 0 4.789 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.790 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 4.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.791 * [backup-simplify]: Simplify (- 0) into 0 4.791 * [backup-simplify]: Simplify (+ 1 0) into 1 4.793 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.794 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.796 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 4.796 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.796 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 4.796 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 4.796 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.796 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.796 * [taylor]: Taking taylor expansion of 1 in N 4.796 * [backup-simplify]: Simplify 1 into 1 4.796 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.797 * [taylor]: Taking taylor expansion of N in N 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (/ 1 1) into 1 4.797 * [backup-simplify]: Simplify (- 1) into -1 4.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.798 * [backup-simplify]: Simplify (sqrt 0) into 0 4.798 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.799 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.799 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 4.799 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 4.799 * [taylor]: Taking taylor expansion of -1 in N 4.799 * [backup-simplify]: Simplify -1 into -1 4.799 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 4.799 * [taylor]: Taking taylor expansion of N in N 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.799 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.799 * [taylor]: Taking taylor expansion of 1 in N 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.799 * [taylor]: Taking taylor expansion of N in N 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [backup-simplify]: Simplify (/ 1 1) into 1 4.799 * [backup-simplify]: Simplify (- 1) into -1 4.800 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.800 * [backup-simplify]: Simplify (sqrt 0) into 0 4.801 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.801 * [backup-simplify]: Simplify (* 0 0) into 0 4.801 * [backup-simplify]: Simplify (* -1 0) into 0 4.802 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.802 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 4.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify (- 0) into 0 4.803 * [backup-simplify]: Simplify (+ 1 0) into 1 4.805 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.806 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.808 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 4.808 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.809 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 4.810 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 4.810 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 4.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.811 * [backup-simplify]: Simplify (- 0) into 0 4.812 * [backup-simplify]: Simplify (+ 1 0) into 1 4.813 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.818 * [backup-simplify]: Simplify (- 0) into 0 4.818 * [backup-simplify]: Simplify (+ 0 0) into 0 4.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.823 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.824 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 4.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.829 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.829 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.830 * [backup-simplify]: Simplify (- 0) into 0 4.831 * [backup-simplify]: Simplify (+ 0 0) into 0 4.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.843 * [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 4.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.845 * [backup-simplify]: Simplify (- 0) into 0 4.845 * [backup-simplify]: Simplify (+ 0 0) into 0 4.850 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.854 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 4.860 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 4.873 * [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 4.873 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.873 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.875 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.875 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.875 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 4.875 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 4.875 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 4.875 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.875 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.875 * [taylor]: Taking taylor expansion of N in N 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 1 into 1 4.875 * [taylor]: Taking taylor expansion of 1 in N 4.875 * [backup-simplify]: Simplify 1 into 1 4.875 * [backup-simplify]: Simplify (+ 0 1) into 1 4.876 * [backup-simplify]: Simplify (sqrt 1) into 1 4.876 * [backup-simplify]: Simplify (+ 1 0) into 1 4.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.877 * [backup-simplify]: Simplify (log 1) into 0 4.877 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 4.877 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.877 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.877 * [taylor]: Taking taylor expansion of N in N 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 1 into 1 4.877 * [taylor]: Taking taylor expansion of 1 in N 4.877 * [backup-simplify]: Simplify 1 into 1 4.877 * [backup-simplify]: Simplify (+ 0 1) into 1 4.877 * [backup-simplify]: Simplify (sqrt 1) into 1 4.877 * [backup-simplify]: Simplify (+ 1 0) into 1 4.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.878 * [backup-simplify]: Simplify (log 1) into 0 4.878 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.879 * [backup-simplify]: Simplify 1/2 into 1/2 4.879 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 4.882 * [backup-simplify]: Simplify -1/4 into -1/4 4.882 * [backup-simplify]: Simplify (+ 0 0) into 0 4.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.886 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 4.886 * [backup-simplify]: Simplify 1/6 into 1/6 4.886 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 4.886 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 4.886 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 4.886 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 4.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.886 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.886 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.886 * [taylor]: Taking taylor expansion of N in N 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [backup-simplify]: Simplify (/ 1 1) into 1 4.886 * [taylor]: Taking taylor expansion of 1 in N 4.886 * [backup-simplify]: Simplify 1 into 1 4.887 * [backup-simplify]: Simplify (+ 1 0) into 1 4.887 * [backup-simplify]: Simplify (sqrt 0) into 0 4.888 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.888 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.888 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 4.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.888 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.888 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.888 * [taylor]: Taking taylor expansion of N in N 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 1 into 1 4.888 * [backup-simplify]: Simplify (/ 1 1) into 1 4.888 * [taylor]: Taking taylor expansion of 1 in N 4.888 * [backup-simplify]: Simplify 1 into 1 4.889 * [backup-simplify]: Simplify (+ 1 0) into 1 4.889 * [backup-simplify]: Simplify (sqrt 0) into 0 4.890 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.890 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.890 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (+ 0 1) into 1 4.895 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (+ 0 0) into 0 4.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.921 * [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 4.921 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.922 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.922 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 4.922 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 4.922 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 4.922 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.922 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.922 * [taylor]: Taking taylor expansion of 1 in N 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.922 * [taylor]: Taking taylor expansion of N in N 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.923 * [backup-simplify]: Simplify (- 1) into -1 4.923 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.923 * [backup-simplify]: Simplify (sqrt 0) into 0 4.924 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.924 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.924 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 4.924 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.924 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.924 * [taylor]: Taking taylor expansion of 1 in N 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.924 * [taylor]: Taking taylor expansion of N in N 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (/ 1 1) into 1 4.925 * [backup-simplify]: Simplify (- 1) into -1 4.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.925 * [backup-simplify]: Simplify (sqrt 0) into 0 4.926 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.926 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.927 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (- 0) into 0 4.928 * [backup-simplify]: Simplify (+ 1 0) into 1 4.930 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (- 0) into 0 4.934 * [backup-simplify]: Simplify (+ 0 0) into 0 4.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.945 * [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 4.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.945 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.946 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.946 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 4.946 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 4.946 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 4.946 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.946 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.946 * [taylor]: Taking taylor expansion of N in N 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [taylor]: Taking taylor expansion of 1 in N 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [backup-simplify]: Simplify (+ 0 1) into 1 4.946 * [backup-simplify]: Simplify (sqrt 1) into 1 4.947 * [backup-simplify]: Simplify (+ 1 0) into 1 4.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.947 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.947 * [taylor]: Taking taylor expansion of N in N 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 1 into 1 4.947 * [backup-simplify]: Simplify (/ 1 1) into 1 4.947 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 4.947 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.947 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.947 * [taylor]: Taking taylor expansion of N in N 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 1 into 1 4.947 * [taylor]: Taking taylor expansion of 1 in N 4.948 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (+ 0 1) into 1 4.948 * [backup-simplify]: Simplify (sqrt 1) into 1 4.948 * [backup-simplify]: Simplify (+ 1 0) into 1 4.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.949 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.949 * [taylor]: Taking taylor expansion of N in N 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [backup-simplify]: Simplify (* 1 1) into 1 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 4.951 * [backup-simplify]: Simplify 1/2 into 1/2 4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (+ 0 0) into 0 4.952 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 4.953 * [backup-simplify]: Simplify -1/8 into -1/8 4.953 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 4.953 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 4.953 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 4.953 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 4.953 * [taylor]: Taking taylor expansion of N in N 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.953 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.953 * [taylor]: Taking taylor expansion of N in N 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (/ 1 1) into 1 4.953 * [taylor]: Taking taylor expansion of 1 in N 4.953 * [backup-simplify]: Simplify 1 into 1 4.954 * [backup-simplify]: Simplify (+ 1 0) into 1 4.954 * [backup-simplify]: Simplify (sqrt 0) into 0 4.955 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.955 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 4.955 * [taylor]: Taking taylor expansion of N in N 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 1 into 1 4.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.955 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.955 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.955 * [taylor]: Taking taylor expansion of N in N 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 1 into 1 4.955 * [backup-simplify]: Simplify (/ 1 1) into 1 4.955 * [taylor]: Taking taylor expansion of 1 in N 4.955 * [backup-simplify]: Simplify 1 into 1 4.956 * [backup-simplify]: Simplify (+ 1 0) into 1 4.956 * [backup-simplify]: Simplify (sqrt 0) into 0 4.957 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.957 * [backup-simplify]: Simplify (* 0 0) into 0 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.957 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (+ 0 1) into 1 4.960 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.963 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.963 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (+ 0 0) into 0 4.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.968 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.969 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.970 * [backup-simplify]: Simplify (+ 0 0) into 0 4.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.975 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 4.975 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.976 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 4.976 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 4.976 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 4.976 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 4.976 * [taylor]: Taking taylor expansion of -1 in N 4.976 * [backup-simplify]: Simplify -1 into -1 4.976 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 4.976 * [taylor]: Taking taylor expansion of N in N 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.976 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.976 * [taylor]: Taking taylor expansion of 1 in N 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.976 * [taylor]: Taking taylor expansion of N in N 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [backup-simplify]: Simplify (/ 1 1) into 1 4.977 * [backup-simplify]: Simplify (- 1) into -1 4.977 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.977 * [backup-simplify]: Simplify (sqrt 0) into 0 4.978 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.978 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 4.978 * [taylor]: Taking taylor expansion of -1 in N 4.978 * [backup-simplify]: Simplify -1 into -1 4.978 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 4.978 * [taylor]: Taking taylor expansion of N in N 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.978 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.978 * [taylor]: Taking taylor expansion of 1 in N 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.978 * [taylor]: Taking taylor expansion of N in N 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [backup-simplify]: Simplify (/ 1 1) into 1 4.979 * [backup-simplify]: Simplify (- 1) into -1 4.979 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.979 * [backup-simplify]: Simplify (sqrt 0) into 0 4.980 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.980 * [backup-simplify]: Simplify (* 0 0) into 0 4.981 * [backup-simplify]: Simplify (* -1 0) into 0 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.982 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify (- 0) into 0 4.983 * [backup-simplify]: Simplify (+ 1 0) into 1 4.984 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.986 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.988 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 4.988 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify (- 0) into 0 4.989 * [backup-simplify]: Simplify (+ 0 0) into 0 4.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.993 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.995 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 4.995 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.996 * [backup-simplify]: Simplify (- 0) into 0 4.996 * [backup-simplify]: Simplify (+ 0 0) into 0 4.999 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.002 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.004 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.004 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.005 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.005 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.005 * [backup-simplify]: Simplify (sqrt (+ 1 N)) into (sqrt (+ N 1)) 5.005 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 5.005 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.005 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.005 * [taylor]: Taking taylor expansion of N in N 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify 1 into 1 5.005 * [taylor]: Taking taylor expansion of 1 in N 5.005 * [backup-simplify]: Simplify 1 into 1 5.005 * [backup-simplify]: Simplify (+ 0 1) into 1 5.006 * [backup-simplify]: Simplify (sqrt 1) into 1 5.006 * [backup-simplify]: Simplify (+ 1 0) into 1 5.006 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.006 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.006 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.006 * [taylor]: Taking taylor expansion of N in N 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify 1 into 1 5.006 * [taylor]: Taking taylor expansion of 1 in N 5.006 * [backup-simplify]: Simplify 1 into 1 5.007 * [backup-simplify]: Simplify (+ 0 1) into 1 5.007 * [backup-simplify]: Simplify (sqrt 1) into 1 5.007 * [backup-simplify]: Simplify (+ 1 0) into 1 5.007 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify 1/2 into 1/2 5.008 * [backup-simplify]: Simplify (+ 0 0) into 0 5.008 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.008 * [backup-simplify]: Simplify -1/8 into -1/8 5.009 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 5.009 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 N))) into (sqrt (+ (/ 1 N) 1)) 5.009 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 5.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.009 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.009 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.009 * [taylor]: Taking taylor expansion of N in N 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (/ 1 1) into 1 5.009 * [taylor]: Taking taylor expansion of 1 in N 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (+ 1 0) into 1 5.010 * [backup-simplify]: Simplify (sqrt 0) into 0 5.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.010 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.010 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.010 * [taylor]: Taking taylor expansion of N in N 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 1 into 1 5.011 * [backup-simplify]: Simplify (/ 1 1) into 1 5.011 * [taylor]: Taking taylor expansion of 1 in N 5.011 * [backup-simplify]: Simplify 1 into 1 5.011 * [backup-simplify]: Simplify (+ 1 0) into 1 5.011 * [backup-simplify]: Simplify (sqrt 0) into 0 5.012 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.013 * [backup-simplify]: Simplify (+ 0 1) into 1 5.015 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.015 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.016 * [backup-simplify]: Simplify (+ 0 0) into 0 5.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.018 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.018 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.018 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 (- N)))) into (sqrt (- 1 (/ 1 N))) 5.018 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 5.018 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.018 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.018 * [taylor]: Taking taylor expansion of 1 in N 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.018 * [taylor]: Taking taylor expansion of N in N 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.019 * [backup-simplify]: Simplify (/ 1 1) into 1 5.019 * [backup-simplify]: Simplify (- 1) into -1 5.019 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.019 * [backup-simplify]: Simplify (sqrt 0) into 0 5.020 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.020 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.020 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.020 * [taylor]: Taking taylor expansion of 1 in N 5.020 * [backup-simplify]: Simplify 1 into 1 5.020 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.020 * [taylor]: Taking taylor expansion of N in N 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.021 * [backup-simplify]: Simplify (/ 1 1) into 1 5.021 * [backup-simplify]: Simplify (- 1) into -1 5.021 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.021 * [backup-simplify]: Simplify (sqrt 0) into 0 5.022 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.023 * [backup-simplify]: Simplify (- 0) into 0 5.024 * [backup-simplify]: Simplify (+ 1 0) into 1 5.025 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.025 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify (- 0) into 0 5.027 * [backup-simplify]: Simplify (+ 0 0) into 0 5.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.029 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.029 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.029 * * * [progress]: simplifying candidates 5.029 * * * * [progress]: [ 1 / 147 ] simplifiying candidate # 5.029 * * * * [progress]: [ 2 / 147 ] simplifiying candidate # 5.029 * * * * [progress]: [ 3 / 147 ] simplifiying candidate # 5.029 * * * * [progress]: [ 4 / 147 ] simplifiying candidate # 5.029 * * * * [progress]: [ 5 / 147 ] simplifiying candidate # 5.029 * * * * [progress]: [ 6 / 147 ] simplifiying candidate # 5.029 * * * * [progress]: [ 7 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 8 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 9 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 10 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 11 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 12 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 13 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 14 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 15 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 16 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 17 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 18 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 19 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 20 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 21 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 22 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 23 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 24 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 25 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 26 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 27 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 28 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 29 / 147 ] simplifiying candidate # 5.030 * * * * [progress]: [ 30 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 31 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 32 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 33 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 34 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 35 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 36 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 37 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 38 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 39 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 40 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 41 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 42 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 43 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 44 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 45 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 46 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 47 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 48 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 49 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 50 / 147 ] simplifiying candidate #real (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))> 5.031 * * * * [progress]: [ 51 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 52 / 147 ] simplifiying candidate # 5.031 * * * * [progress]: [ 53 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 54 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 55 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 56 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 57 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 58 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 59 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 60 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 61 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 62 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 63 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 64 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 65 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 66 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 67 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 68 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 69 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 70 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 71 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 72 / 147 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N))))> 5.032 * * * * [progress]: [ 73 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 74 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 75 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 76 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 77 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 78 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 79 / 147 ] simplifiying candidate # 5.032 * * * * [progress]: [ 80 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 81 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 82 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 83 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 84 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 85 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 86 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 87 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 88 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 89 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 90 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 91 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 92 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 93 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 94 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 95 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 96 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 97 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 98 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 99 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 100 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 101 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 102 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 103 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 104 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 105 / 147 ] simplifiying candidate # 5.033 * * * * [progress]: [ 106 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 107 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 108 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 109 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 110 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 111 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 112 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 113 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 114 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 115 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 116 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 117 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 118 / 147 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ 1 N)) N))))))> 5.034 * * * * [progress]: [ 119 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 120 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 121 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 122 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 123 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 124 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 125 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 126 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 127 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 128 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 129 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 130 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 131 / 147 ] simplifiying candidate # 5.034 * * * * [progress]: [ 132 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 133 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 134 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 135 / 147 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 N)))) N))))> 5.035 * * * * [progress]: [ 136 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 137 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 138 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 139 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 140 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 141 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 142 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 143 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 144 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 145 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 146 / 147 ] simplifiying candidate # 5.035 * * * * [progress]: [ 147 / 147 ] simplifiying candidate # 5.036 * [simplify]: Simplifying: (* (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N)) (log (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (exp (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (pow (log (sqrt (+ 1 N))) 3) (pow (log (/ (sqrt (+ 1 N)) N)) 3)) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 1))) (+ (log (sqrt (+ 1 N))) (log 1)) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (cbrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (/ (sqrt (+ 1 N)) N))) (- (log (sqrt (- 1 N))) (log (/ (sqrt (+ 1 N)) N))) (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log 1) (log (sqrt (+ 1 N))) (log (sqrt (+ (pow 1 3) (pow N 3)))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (- (* 1 1) (* N N)))) (log (sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (- (log (sqrt (+ 1 N))) (log N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (/ (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (* (* (/ (sqrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) N)) (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)) (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1) (/ (cbrt (sqrt (+ 1 N))) N) (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ 1 N))) (cbrt N)) (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)) (/ (sqrt (cbrt (+ 1 N))) (sqrt N)) (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1) (/ (sqrt (cbrt (+ 1 N))) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) 1) (/ (sqrt (sqrt (+ 1 N))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ 1 N)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ 1 N)) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) 1) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ 1 1) (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* N (sqrt (- 1 N))) (real->posit16 (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt 1) (sqrt (+ 1 N)) (sqrt 1) (sqrt (+ 1 N)) (sqrt (+ (pow 1 3) (pow N 3))) (sqrt (+ (* 1 1) (- (* N N) (* 1 N)))) (sqrt (- (* 1 1) (* N N))) (sqrt (- 1 N)) (/ 1 2) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (/ 1 N) 1/2) (* 1/8 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.038 * * [simplify]: iteration 0: 215 enodes 5.113 * * [simplify]: iteration 1: 455 enodes 5.269 * * [simplify]: iteration 2: 1158 enodes 6.038 * * [simplify]: iteration 3: 4823 enodes 7.399 * * [simplify]: iteration complete: 5002 enodes 7.399 * * [simplify]: Extracting #0: cost 108 inf + 0 7.402 * * [simplify]: Extracting #1: cost 716 inf + 3 7.410 * * [simplify]: Extracting #2: cost 1556 inf + 1178 7.423 * * [simplify]: Extracting #3: cost 1272 inf + 62321 7.856 * * [simplify]: Extracting #4: cost 419 inf + 289017 7.974 * * [simplify]: Extracting #5: cost 16 inf + 434651 8.122 * * [simplify]: Extracting #6: cost 0 inf + 440260 8.253 * [simplify]: Simplified to: (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (/ (+ N 1) N) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (+ (* (log (sqrt (+ N 1))) (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1))))) (* (* (- (log (sqrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N))) (- (log (sqrt (+ N 1))) (log N)))) (+ (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (- (* (- (log (sqrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N))) (* (log (sqrt (+ N 1))) (- (log (sqrt (+ N 1))) (log N))))) (* (+ 0 (log N)) (- (log (+ N 1)) (log N))) (+ 0 (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (sqrt (+ N 1))) (log (* (cbrt (/ (sqrt (+ N 1)) N)) (cbrt (/ (sqrt (+ N 1)) N))))) (+ (log (sqrt (+ N 1))) (log (sqrt (/ (sqrt (+ N 1)) N)))) (+ (log (sqrt (+ N 1))) (+ (log (/ (cbrt (sqrt (+ N 1))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1))) (cbrt N))))) (+ (log (sqrt (+ N 1))) (log (* (cbrt (sqrt (+ N 1))) (/ (cbrt (sqrt (+ N 1))) (sqrt N))))) (+ (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (sqrt (+ N 1)))) (+ (log (/ (fabs (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (sqrt (+ N 1)))) (+ (log (/ (fabs (cbrt (+ N 1))) (sqrt N))) (log (sqrt (+ N 1)))) (+ (log (fabs (cbrt (+ N 1)))) (log (sqrt (+ N 1)))) (+ (log (/ (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (cbrt N))) (log (sqrt (+ N 1)))) (+ (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (sqrt (+ N 1)))) (+ (log (sqrt (sqrt (+ N 1)))) (log (sqrt (+ N 1)))) (- (- (log (sqrt (+ N 1))) (log (cbrt N))) (log (cbrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (log (sqrt (+ N 1))) (- (- (log (sqrt (+ N 1))) (log (cbrt N))) (log (cbrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (log (sqrt (+ N 1))) (+ (log (/ (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (cbrt N))) (log (sqrt (+ N 1)))) (+ (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (sqrt (+ N 1)))) (+ (log (sqrt (sqrt (+ N 1)))) (log (sqrt (+ N 1)))) (- (- (log (sqrt (+ N 1))) (log (cbrt N))) (log (cbrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log (+ N 1)) (+ (log (/ (sqrt (+ N 1)) N)) (log (cbrt (sqrt (+ N 1))))) (+ (log (sqrt (cbrt (+ N 1)))) (log (/ (sqrt (+ N 1)) N))) (+ (log (/ (sqrt (+ N 1)) N)) (log (sqrt (sqrt (+ N 1))))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (/ (sqrt (+ N 1)) N)) (log (sqrt (sqrt (+ N 1))))) (- (log (+ N 1)) (log N)) (log (+ N 1)) (- (log (sqrt (- (* N N) (+ N -1)))) (log (/ (sqrt (+ N 1)) N))) (- (log (sqrt (- 1 N))) (log (/ (sqrt (+ N 1)) N))) (real->posit16 (- (log (+ N 1)) (log N))) (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (cbrt (sqrt (+ N 1)))) (log (fabs (cbrt (+ N 1)))) (log (sqrt (cbrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log (sqrt (+ N 1))) (log (sqrt (+ (* (* N N) N) 1))) (log (sqrt (- (* N N) (+ N -1)))) (log (sqrt (- 1 (* N N)))) (log (sqrt (- 1 N))) (log (+ N 1)) (log (sqrt (+ N 1))) (log (+ N 1)) (log (log (sqrt (+ N 1)))) (sqrt (+ N 1)) (* (cbrt (log (sqrt (+ N 1)))) (cbrt (log (sqrt (+ N 1))))) (cbrt (log (sqrt (+ N 1)))) (* (log (sqrt (+ N 1))) (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1))))) (sqrt (log (sqrt (+ N 1)))) (sqrt (log (sqrt (+ N 1)))) (real->posit16 (log (sqrt (+ N 1)))) (log (/ (sqrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) N)) (exp (/ (sqrt (+ N 1)) N)) (* (/ (/ (+ N 1) N) N) (/ (sqrt (+ N 1)) N)) (* (cbrt (/ (sqrt (+ N 1)) N)) (cbrt (/ (sqrt (+ N 1)) N))) (cbrt (/ (sqrt (+ N 1)) N)) (* (/ (/ (+ N 1) N) N) (/ (sqrt (+ N 1)) N)) (sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ (sqrt (+ N 1)) N)) (- (sqrt (+ N 1))) (- N) (* (/ (cbrt (sqrt (+ N 1))) (cbrt N)) (/ (cbrt (sqrt (+ N 1))) (cbrt N))) (/ (cbrt (sqrt (+ N 1))) (cbrt N)) (* (cbrt (sqrt (+ N 1))) (/ (cbrt (sqrt (+ N 1))) (sqrt N))) (/ (cbrt (sqrt (+ N 1))) (sqrt N)) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (/ (cbrt (sqrt (+ N 1))) N) (/ (fabs (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1))) (cbrt N)) (/ (fabs (cbrt (+ N 1))) (sqrt N)) (/ (sqrt (cbrt (+ N 1))) (sqrt N)) (fabs (cbrt (+ N 1))) (/ (sqrt (cbrt (+ N 1))) N) (/ (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (sqrt (sqrt (+ N 1))) (/ (sqrt (sqrt (+ N 1))) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) 1 (/ (sqrt (+ N 1)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) 1 (/ (sqrt (+ N 1)) N) (/ (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (sqrt (sqrt (+ N 1))) (/ (sqrt (sqrt (+ N 1))) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) 1 (/ (sqrt (+ N 1)) N) (/ 1 N) (/ N (sqrt (+ N 1))) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ N (cbrt (sqrt (+ N 1)))) (/ N (sqrt (cbrt (+ N 1)))) (/ N (sqrt (sqrt (+ N 1)))) (/ N (sqrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (sqrt (sqrt (+ N 1)))) (/ N (sqrt (+ N 1))) (* N (sqrt (- (* N N) (+ N -1)))) (* N (sqrt (- 1 N))) (real->posit16 (/ (sqrt (+ N 1)) N)) (log (sqrt (+ N 1))) (exp (sqrt (+ N 1))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (cbrt (sqrt (+ N 1))) (* (sqrt (+ N 1)) (+ N 1)) (fabs (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (sqrt (+ N 1))) (sqrt (sqrt (+ N 1))) 1 (sqrt (+ N 1)) 1 (sqrt (+ N 1)) (sqrt (+ (* (* N N) N) 1)) (sqrt (- (* N N) (+ N -1))) (sqrt (- 1 (* N N))) (sqrt (- 1 N)) 1/2 (sqrt (sqrt (+ N 1))) (sqrt (sqrt (+ N 1))) (real->posit16 (sqrt (+ N 1))) (- (- N (log N)) (/ (* N N) 2)) (+ (- (log (- +nan.0)) (log N)) (- (- (log +nan.0) (/ (- +nan.0) N)) (/ +nan.0 (* N N)))) (+ (log (/ -1 N)) (+ (log (- +nan.0)) (- (- (log +nan.0) (/ (- +nan.0) N)) (/ +nan.0 (* N N))))) (+ (* N (+ (* 1/6 (* N N)) 1/2)) (* (* N N) -1/4)) (+ (log +nan.0) (- (/ +nan.0 N) (/ +nan.0 (* N N)))) (+ (log +nan.0) (- (/ +nan.0 N) (/ +nan.0 (* N N)))) (+ (+ (* N -1/8) 1/2) (/ 1 N)) (- (- (+ (/ +nan.0 (* N N)) (/ +nan.0 N)) (/ +nan.0 (* (* N N) N)))) (- (- (+ (/ +nan.0 (* N N)) (/ +nan.0 N)) (/ +nan.0 (* (* N N) N)))) (- (+ 1 (* 1/2 N)) (* 1/8 (* N N))) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) 8.270 * * * [progress]: adding candidates to table 8.905 * * [progress]: iteration 4 / 4 8.905 * * * [progress]: picking best candidate 8.919 * * * * [pick]: Picked # 8.919 * * * [progress]: localizing error 8.947 * * * [progress]: generating rewritten candidates 8.947 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.960 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.967 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.971 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 8.979 * * * [progress]: generating series expansions 8.979 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.979 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) into (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) 8.979 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) in (N) around 0 8.979 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) in N 8.979 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 8.979 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 8.979 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.979 * [taylor]: Taking taylor expansion of N in N 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 1 into 1 8.979 * [taylor]: Taking taylor expansion of 1 in N 8.979 * [backup-simplify]: Simplify 1 into 1 8.980 * [backup-simplify]: Simplify (+ 0 1) into 1 8.980 * [backup-simplify]: Simplify (sqrt 1) into 1 8.980 * [backup-simplify]: Simplify (+ 1 0) into 1 8.981 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.981 * [backup-simplify]: Simplify (log 1) into 0 8.981 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 8.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 8.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.981 * [taylor]: Taking taylor expansion of N in N 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [backup-simplify]: Simplify (/ 1 1) into 1 8.981 * [backup-simplify]: Simplify (sqrt 0) into 0 8.982 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.983 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.983 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) in N 8.983 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 8.983 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 8.983 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.983 * [taylor]: Taking taylor expansion of N in N 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [taylor]: Taking taylor expansion of 1 in N 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [backup-simplify]: Simplify (+ 0 1) into 1 8.983 * [backup-simplify]: Simplify (sqrt 1) into 1 8.984 * [backup-simplify]: Simplify (+ 1 0) into 1 8.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.984 * [backup-simplify]: Simplify (log 1) into 0 8.984 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 8.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 8.984 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.984 * [taylor]: Taking taylor expansion of N in N 8.984 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify 1 into 1 8.984 * [backup-simplify]: Simplify (/ 1 1) into 1 8.985 * [backup-simplify]: Simplify (sqrt 0) into 0 8.985 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.986 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.986 * [backup-simplify]: Simplify (+ 0 (log +nan.0)) into (log +nan.0) 8.987 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 8.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.990 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.994 * [backup-simplify]: Simplify (+ 1/2 +nan.0) into (- +nan.0) 8.994 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.994 * [backup-simplify]: Simplify (+ 0 0) into 0 8.995 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.996 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 8.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.008 * [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 9.008 * [backup-simplify]: Simplify (+ -1/4 +nan.0) into (- +nan.0) 9.008 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.009 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.009 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 N)))) (log (/ 1 (sqrt (/ 1 N))))) into (+ (log (sqrt N)) (log (sqrt (+ (/ 1 N) 1)))) 9.009 * [approximate]: Taking taylor expansion of (+ (log (sqrt N)) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 9.009 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (sqrt (+ (/ 1 N) 1)))) in N 9.009 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.009 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.009 * [taylor]: Taking taylor expansion of N in N 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.010 * [backup-simplify]: Simplify (sqrt 0) into 0 9.011 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.011 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.011 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.011 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.011 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.011 * [taylor]: Taking taylor expansion of N in N 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (/ 1 1) into 1 9.011 * [taylor]: Taking taylor expansion of 1 in N 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (+ 1 0) into 1 9.012 * [backup-simplify]: Simplify (sqrt 0) into 0 9.012 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.013 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.013 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (sqrt (+ (/ 1 N) 1)))) in N 9.013 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.013 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.013 * [taylor]: Taking taylor expansion of N in N 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [backup-simplify]: Simplify (sqrt 0) into 0 9.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.014 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.014 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.014 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.014 * [taylor]: Taking taylor expansion of N in N 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.015 * [backup-simplify]: Simplify (/ 1 1) into 1 9.015 * [taylor]: Taking taylor expansion of 1 in N 9.015 * [backup-simplify]: Simplify 1 into 1 9.015 * [backup-simplify]: Simplify (+ 1 0) into 1 9.015 * [backup-simplify]: Simplify (sqrt 0) into 0 9.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.016 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.017 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.017 * [backup-simplify]: Simplify (+ (+ (log N) (log +nan.0)) (log +nan.0)) into (+ (log N) (* 2 (log +nan.0))) 9.018 * [backup-simplify]: Simplify (+ (log N) (* 2 (log +nan.0))) into (+ (log N) (* 2 (log +nan.0))) 9.019 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (+ 0 1) into 1 9.026 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.030 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.030 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.040 * [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 9.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (+ 0 0) into 0 9.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.058 * [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 9.059 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.059 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.061 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (/ 1 N)) (* 2 (log +nan.0))))) into (- (+ (log (/ 1 N)) (* 2 (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.061 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 (- N))))) (log (/ 1 (sqrt (/ 1 (- N)))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (/ 1 (sqrt (/ -1 N))))) 9.061 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in (N) around 0 9.061 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in N 9.061 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.061 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.061 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.061 * [taylor]: Taking taylor expansion of 1 in N 9.061 * [backup-simplify]: Simplify 1 into 1 9.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.061 * [taylor]: Taking taylor expansion of N in N 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify 1 into 1 9.062 * [backup-simplify]: Simplify (/ 1 1) into 1 9.062 * [backup-simplify]: Simplify (- 1) into -1 9.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.063 * [backup-simplify]: Simplify (sqrt 0) into 0 9.064 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.065 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.065 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 9.065 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.065 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.065 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.065 * [taylor]: Taking taylor expansion of -1 in N 9.065 * [backup-simplify]: Simplify -1 into -1 9.065 * [taylor]: Taking taylor expansion of N in N 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 1 into 1 9.066 * [backup-simplify]: Simplify (/ -1 1) into -1 9.066 * [backup-simplify]: Simplify (sqrt 0) into 0 9.067 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.068 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.068 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.068 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in N 9.068 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.068 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.068 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.068 * [taylor]: Taking taylor expansion of 1 in N 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.068 * [taylor]: Taking taylor expansion of N in N 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 1 into 1 9.069 * [backup-simplify]: Simplify (/ 1 1) into 1 9.069 * [backup-simplify]: Simplify (- 1) into -1 9.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.070 * [backup-simplify]: Simplify (sqrt 0) into 0 9.071 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.071 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.071 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 9.071 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.071 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.071 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.071 * [taylor]: Taking taylor expansion of -1 in N 9.071 * [backup-simplify]: Simplify -1 into -1 9.071 * [taylor]: Taking taylor expansion of N in N 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.072 * [backup-simplify]: Simplify (/ -1 1) into -1 9.072 * [backup-simplify]: Simplify (sqrt 0) into 0 9.073 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.073 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.073 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.074 * [backup-simplify]: Simplify (+ (log +nan.0) (log +nan.0)) into (* 2 (log +nan.0)) 9.075 * [backup-simplify]: Simplify (* 2 (log +nan.0)) into (* 2 (log +nan.0)) 9.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.075 * [backup-simplify]: Simplify (- 0) into 0 9.076 * [backup-simplify]: Simplify (+ 1 0) into 1 9.078 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.084 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.085 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.090 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.090 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.091 * [backup-simplify]: Simplify (- 0) into 0 9.091 * [backup-simplify]: Simplify (+ 0 0) into 0 9.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.101 * [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 9.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.107 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.117 * [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 9.117 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 9.117 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.119 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (* 2 (log +nan.0)))) into (- (* 2 (log +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.119 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 9.119 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 N)) (sqrt N))) into (log (sqrt (/ (+ N 1) N))) 9.119 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 9.119 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.119 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.119 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.119 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.119 * [taylor]: Taking taylor expansion of N in N 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 1 into 1 9.119 * [taylor]: Taking taylor expansion of 1 in N 9.119 * [backup-simplify]: Simplify 1 into 1 9.119 * [taylor]: Taking taylor expansion of N in N 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 1 into 1 9.119 * [backup-simplify]: Simplify (+ 0 1) into 1 9.120 * [backup-simplify]: Simplify (/ 1 1) into 1 9.120 * [backup-simplify]: Simplify (sqrt 0) into 0 9.121 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.121 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.121 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.121 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.121 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.121 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.121 * [taylor]: Taking taylor expansion of N in N 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [taylor]: Taking taylor expansion of 1 in N 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [taylor]: Taking taylor expansion of N in N 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [backup-simplify]: Simplify (+ 0 1) into 1 9.122 * [backup-simplify]: Simplify (/ 1 1) into 1 9.122 * [backup-simplify]: Simplify (sqrt 0) into 0 9.123 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.123 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.123 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.123 * [backup-simplify]: Simplify (+ 1 0) into 1 9.124 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.126 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.130 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.130 * [backup-simplify]: Simplify (+ 0 0) into 0 9.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.144 * [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 9.144 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.144 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.144 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 N))) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 9.144 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 9.144 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.144 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.144 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.144 * [taylor]: Taking taylor expansion of N in N 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.144 * [taylor]: Taking taylor expansion of N in N 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.145 * [backup-simplify]: Simplify (/ 1 1) into 1 9.145 * [taylor]: Taking taylor expansion of 1 in N 9.145 * [backup-simplify]: Simplify 1 into 1 9.145 * [backup-simplify]: Simplify (+ 1 0) into 1 9.145 * [backup-simplify]: Simplify (* 0 1) into 0 9.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.146 * [backup-simplify]: Simplify (+ 0 1) into 1 9.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.147 * [backup-simplify]: Simplify (sqrt 1) into 1 9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.147 * [backup-simplify]: Simplify (+ 0 0) into 0 9.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.148 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.148 * [backup-simplify]: Simplify (log 1) into 0 9.149 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.149 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.149 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.149 * [taylor]: Taking taylor expansion of N in N 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.149 * [taylor]: Taking taylor expansion of N in N 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (/ 1 1) into 1 9.149 * [taylor]: Taking taylor expansion of 1 in N 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (+ 1 0) into 1 9.149 * [backup-simplify]: Simplify (* 0 1) into 0 9.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.150 * [backup-simplify]: Simplify (+ 0 1) into 1 9.151 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.151 * [backup-simplify]: Simplify (sqrt 1) into 1 9.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.152 * [backup-simplify]: Simplify (+ 0 0) into 0 9.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.153 * [backup-simplify]: Simplify (log 1) into 0 9.153 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.154 * [backup-simplify]: Simplify 1/2 into 1/2 9.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.155 * [backup-simplify]: Simplify (+ 0 0) into 0 9.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.156 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.158 * [backup-simplify]: Simplify -1/4 into -1/4 9.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.158 * [backup-simplify]: Simplify (+ 0 0) into 0 9.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.163 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.163 * [backup-simplify]: Simplify 1/6 into 1/6 9.164 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 9.164 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 (- N)))) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 9.164 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 9.164 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.164 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.164 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.164 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.164 * [taylor]: Taking taylor expansion of 1 in N 9.164 * [backup-simplify]: Simplify 1 into 1 9.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.164 * [taylor]: Taking taylor expansion of N in N 9.164 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify 1 into 1 9.164 * [backup-simplify]: Simplify (/ 1 1) into 1 9.164 * [backup-simplify]: Simplify (- 1) into -1 9.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.165 * [backup-simplify]: Simplify (sqrt 0) into 0 9.166 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.166 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.166 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.166 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.166 * [taylor]: Taking taylor expansion of -1 in N 9.166 * [backup-simplify]: Simplify -1 into -1 9.166 * [taylor]: Taking taylor expansion of N in N 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [backup-simplify]: Simplify (/ -1 1) into -1 9.166 * [backup-simplify]: Simplify (sqrt 0) into 0 9.167 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.167 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.168 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.170 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.172 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.173 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.174 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.174 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.174 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.174 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.174 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.174 * [taylor]: Taking taylor expansion of 1 in N 9.174 * [backup-simplify]: Simplify 1 into 1 9.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.174 * [taylor]: Taking taylor expansion of N in N 9.174 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (/ 1 1) into 1 9.175 * [backup-simplify]: Simplify (- 1) into -1 9.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.176 * [backup-simplify]: Simplify (sqrt 0) into 0 9.177 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.177 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.177 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.177 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.177 * [taylor]: Taking taylor expansion of -1 in N 9.178 * [backup-simplify]: Simplify -1 into -1 9.178 * [taylor]: Taking taylor expansion of N in N 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (/ -1 1) into -1 9.178 * [backup-simplify]: Simplify (sqrt 0) into 0 9.180 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.180 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.180 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.184 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.186 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.188 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.188 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.189 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.194 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.198 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (- 0) into 0 9.200 * [backup-simplify]: Simplify (+ 1 0) into 1 9.203 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.207 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.222 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.228 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.229 * [backup-simplify]: Simplify (- 0) into 0 9.230 * [backup-simplify]: Simplify (+ 0 0) into 0 9.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.239 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.260 * [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 9.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.261 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.261 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.262 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 9.262 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 9.262 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.262 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.262 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.262 * [taylor]: Taking taylor expansion of N in N 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 1 into 1 9.262 * [taylor]: Taking taylor expansion of 1 in N 9.262 * [backup-simplify]: Simplify 1 into 1 9.262 * [backup-simplify]: Simplify (+ 0 1) into 1 9.263 * [backup-simplify]: Simplify (sqrt 1) into 1 9.263 * [backup-simplify]: Simplify (+ 1 0) into 1 9.264 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.264 * [backup-simplify]: Simplify (log 1) into 0 9.264 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.264 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.264 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.264 * [taylor]: Taking taylor expansion of N in N 9.264 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify 1 into 1 9.264 * [taylor]: Taking taylor expansion of 1 in N 9.264 * [backup-simplify]: Simplify 1 into 1 9.265 * [backup-simplify]: Simplify (+ 0 1) into 1 9.265 * [backup-simplify]: Simplify (sqrt 1) into 1 9.266 * [backup-simplify]: Simplify (+ 1 0) into 1 9.266 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.267 * [backup-simplify]: Simplify (log 1) into 0 9.267 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.268 * [backup-simplify]: Simplify 1/2 into 1/2 9.269 * [backup-simplify]: Simplify (+ 0 0) into 0 9.270 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.273 * [backup-simplify]: Simplify -1/4 into -1/4 9.274 * [backup-simplify]: Simplify (+ 0 0) into 0 9.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.281 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.281 * [backup-simplify]: Simplify 1/6 into 1/6 9.281 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 9.282 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 9.282 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 9.282 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.282 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.282 * [taylor]: Taking taylor expansion of N in N 9.282 * [backup-simplify]: Simplify 0 into 0 9.282 * [backup-simplify]: Simplify 1 into 1 9.282 * [backup-simplify]: Simplify (/ 1 1) into 1 9.282 * [taylor]: Taking taylor expansion of 1 in N 9.282 * [backup-simplify]: Simplify 1 into 1 9.283 * [backup-simplify]: Simplify (+ 1 0) into 1 9.283 * [backup-simplify]: Simplify (sqrt 0) into 0 9.285 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.285 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.285 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.285 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.285 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.285 * [taylor]: Taking taylor expansion of N in N 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 1 into 1 9.286 * [backup-simplify]: Simplify (/ 1 1) into 1 9.286 * [taylor]: Taking taylor expansion of 1 in N 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [backup-simplify]: Simplify (+ 1 0) into 1 9.287 * [backup-simplify]: Simplify (sqrt 0) into 0 9.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.288 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.288 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.289 * [backup-simplify]: Simplify (+ 0 1) into 1 9.290 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.294 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.295 * [backup-simplify]: Simplify (+ 0 0) into 0 9.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.305 * [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 9.305 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.306 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.306 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 9.306 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 9.306 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.306 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.306 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.306 * [taylor]: Taking taylor expansion of 1 in N 9.306 * [backup-simplify]: Simplify 1 into 1 9.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.306 * [taylor]: Taking taylor expansion of N in N 9.306 * [backup-simplify]: Simplify 0 into 0 9.306 * [backup-simplify]: Simplify 1 into 1 9.306 * [backup-simplify]: Simplify (/ 1 1) into 1 9.307 * [backup-simplify]: Simplify (- 1) into -1 9.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.307 * [backup-simplify]: Simplify (sqrt 0) into 0 9.308 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.309 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.309 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.309 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.309 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.309 * [taylor]: Taking taylor expansion of 1 in N 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.309 * [taylor]: Taking taylor expansion of N in N 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [backup-simplify]: Simplify (/ 1 1) into 1 9.309 * [backup-simplify]: Simplify (- 1) into -1 9.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.310 * [backup-simplify]: Simplify (sqrt 0) into 0 9.311 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.311 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.311 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.312 * [backup-simplify]: Simplify (- 0) into 0 9.312 * [backup-simplify]: Simplify (+ 1 0) into 1 9.314 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.320 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.321 * [backup-simplify]: Simplify (- 0) into 0 9.322 * [backup-simplify]: Simplify (+ 0 0) into 0 9.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.332 * [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 9.332 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.332 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.332 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 9.333 * [backup-simplify]: Simplify (/ 1 (sqrt N)) into (sqrt (/ 1 N)) 9.333 * [approximate]: Taking taylor expansion of (sqrt (/ 1 N)) in (N) around 0 9.333 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.333 * [taylor]: Taking taylor expansion of N in N 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [backup-simplify]: Simplify (/ 1 1) into 1 9.333 * [backup-simplify]: Simplify (sqrt 0) into 0 9.334 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.334 * [taylor]: Taking taylor expansion of N in N 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [backup-simplify]: Simplify (/ 1 1) into 1 9.335 * [backup-simplify]: Simplify (sqrt 0) into 0 9.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.338 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.338 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.341 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.341 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 9.341 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 N))) into (sqrt N) 9.341 * [approximate]: Taking taylor expansion of (sqrt N) in (N) around 0 9.341 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.341 * [taylor]: Taking taylor expansion of N in N 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify 1 into 1 9.341 * [backup-simplify]: Simplify (sqrt 0) into 0 9.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.342 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.342 * [taylor]: Taking taylor expansion of N in N 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [backup-simplify]: Simplify (sqrt 0) into 0 9.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.343 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.345 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.345 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.348 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.348 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 9.348 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- N)))) into (/ 1 (sqrt (/ -1 N))) 9.348 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in (N) around 0 9.348 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.348 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.348 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.348 * [taylor]: Taking taylor expansion of -1 in N 9.348 * [backup-simplify]: Simplify -1 into -1 9.348 * [taylor]: Taking taylor expansion of N in N 9.348 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify 1 into 1 9.348 * [backup-simplify]: Simplify (/ -1 1) into -1 9.349 * [backup-simplify]: Simplify (sqrt 0) into 0 9.349 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.350 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.350 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.350 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.350 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.350 * [taylor]: Taking taylor expansion of -1 in N 9.350 * [backup-simplify]: Simplify -1 into -1 9.350 * [taylor]: Taking taylor expansion of N in N 9.350 * [backup-simplify]: Simplify 0 into 0 9.350 * [backup-simplify]: Simplify 1 into 1 9.350 * [backup-simplify]: Simplify (/ -1 1) into -1 9.350 * [backup-simplify]: Simplify (sqrt 0) into 0 9.352 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.352 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.352 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.356 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.358 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.359 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.370 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.371 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.372 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.372 * * * [progress]: simplifying candidates 9.372 * * * * [progress]: [ 1 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 2 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 3 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 4 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 5 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 6 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 7 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 8 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 9 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 10 / 187 ] simplifiying candidate # 9.372 * * * * [progress]: [ 11 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 12 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 13 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 14 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 15 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 16 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 17 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 18 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 19 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 20 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 21 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 22 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 23 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 24 / 187 ] simplifiying candidate # 9.373 * * * * [progress]: [ 25 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 26 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 27 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 28 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 29 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 30 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 31 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 32 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 33 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 34 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 35 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 36 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 37 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 38 / 187 ] simplifiying candidate # 9.374 * * * * [progress]: [ 39 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 40 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 41 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 42 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 43 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 44 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 45 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 46 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 47 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 48 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 49 / 187 ] simplifiying candidate #real (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))))) (log (/ (sqrt (+ 1 N)) (sqrt N)))))> 9.375 * * * * [progress]: [ 50 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 51 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 52 / 187 ] simplifiying candidate # 9.375 * * * * [progress]: [ 53 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 54 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 55 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 56 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 57 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 58 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 59 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 60 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 61 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 62 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 63 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 64 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 65 / 187 ] simplifiying candidate # 9.376 * * * * [progress]: [ 66 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 67 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 68 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 69 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 70 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 71 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 72 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 73 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 74 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 75 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 76 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 77 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 78 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 79 / 187 ] simplifiying candidate # 9.377 * * * * [progress]: [ 80 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 81 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 82 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 83 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 84 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 85 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 86 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 87 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 88 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 89 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 90 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 91 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 92 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 93 / 187 ] simplifiying candidate # 9.378 * * * * [progress]: [ 94 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 95 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 96 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 97 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 98 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 99 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 100 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 101 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 102 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 103 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 104 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 105 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 106 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 107 / 187 ] simplifiying candidate # 9.379 * * * * [progress]: [ 108 / 187 ] simplifiying candidate #real (real->posit16 (log (/ (sqrt (+ 1 N)) (sqrt N)))))))> 9.379 * * * * [progress]: [ 109 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 110 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 111 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 112 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 113 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 114 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 115 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 116 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 117 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 118 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 119 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 120 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 121 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 122 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 123 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 124 / 187 ] simplifiying candidate # 9.380 * * * * [progress]: [ 125 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 126 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 127 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 128 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 129 / 187 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ 1 (sqrt N)))) (log (/ (sqrt (+ 1 N)) (sqrt N)))))> 9.381 * * * * [progress]: [ 130 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 131 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 132 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 133 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 134 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 135 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 136 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 137 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 138 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 139 / 187 ] simplifiying candidate # 9.381 * * * * [progress]: [ 140 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 141 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 142 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 143 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 144 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 145 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 146 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 147 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 148 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 149 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 150 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 151 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 152 / 187 ] simplifiying candidate # 9.382 * * * * [progress]: [ 153 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 154 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 155 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 156 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 157 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 158 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 159 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 160 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 161 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 162 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 163 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 164 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 165 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 166 / 187 ] simplifiying candidate # 9.383 * * * * [progress]: [ 167 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 168 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 169 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 170 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 171 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 172 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 173 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 174 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 175 / 187 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt N)))))) (log (/ (sqrt (+ 1 N)) (sqrt N)))))> 9.384 * * * * [progress]: [ 176 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 177 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 178 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 179 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 180 / 187 ] simplifiying candidate # 9.384 * * * * [progress]: [ 181 / 187 ] simplifiying candidate # 9.385 * * * * [progress]: [ 182 / 187 ] simplifiying candidate # 9.385 * * * * [progress]: [ 183 / 187 ] simplifiying candidate # 9.385 * * * * [progress]: [ 184 / 187 ] simplifiying candidate # 9.385 * * * * [progress]: [ 185 / 187 ] simplifiying candidate # 9.385 * * * * [progress]: [ 186 / 187 ] simplifiying candidate # 9.385 * * * * [progress]: [ 187 / 187 ] simplifiying candidate # 9.388 * [simplify]: Simplifying: (* (sqrt (+ 1 N)) (/ 1 (sqrt N))) (log (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))))) (exp (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))))) (* (cbrt (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))))) (* (* (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))))) (+ (pow (log (sqrt (+ 1 N))) 3) (pow (log (/ 1 (sqrt N))) 3)) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (* (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N)))) (* (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N))))) (- (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (* (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N)))))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ 1 (sqrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt 1) (cbrt 1)) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt (sqrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt 1)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt (sqrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt (sqrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt 1)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt (sqrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ 1 1))) (+ (log (sqrt (+ 1 N))) (log 1)) (+ (log (sqrt (+ 1 N))) (log 1)) (+ (log (cbrt (sqrt (+ 1 N)))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (cbrt (+ 1 N)))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log 1)) (- (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (/ 1 (sqrt N)))) (- (log (sqrt (- 1 N))) (log (/ 1 (sqrt N)))) (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))))) (log (* (cbrt (/ (sqrt (+ 1 N)) (sqrt N))) (cbrt (/ (sqrt (+ 1 N)) (sqrt N))))) (log (cbrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (cbrt (sqrt (+ 1 N))) (cbrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ 1 N))) (sqrt (cbrt N)))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt 1))) (log (/ (cbrt (sqrt (+ 1 N))) (sqrt N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1)) (log (/ (cbrt (sqrt (+ 1 N))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (cbrt (+ 1 N))) (cbrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ 1 N))) (sqrt (cbrt N)))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt 1))) (log (/ (sqrt (cbrt (+ 1 N))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1)) (log (/ (sqrt (cbrt (+ 1 N))) (sqrt N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ 1 N))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt 1))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) 1)) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N))) (log (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ 1 N)) (cbrt (sqrt N)))) (log (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ 1 N)) (sqrt (cbrt N)))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ 1 N)) (sqrt (sqrt N)))) (log (/ (sqrt 1) (sqrt 1))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ 1 N)) (sqrt (sqrt N)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ 1 N)) (cbrt (sqrt N)))) (log (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ 1 N)) (sqrt (cbrt N)))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ 1 N)) (sqrt (sqrt N)))) (log (/ (sqrt 1) (sqrt 1))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ 1 N)) (sqrt (sqrt N)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ 1 N))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt 1))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ 1 N))) 1)) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ 1 N)) (cbrt (sqrt N)))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ 1 N)) (sqrt (cbrt N)))) (log (/ 1 (sqrt (sqrt N)))) (log (/ (sqrt (+ 1 N)) (sqrt (sqrt N)))) (log (/ 1 (sqrt 1))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ 1 (sqrt (sqrt N)))) (log (/ (sqrt (+ 1 N)) (sqrt (sqrt N)))) (log (/ 1 1)) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log 1) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N))) (log (sqrt (+ 1 N))) (log (sqrt N)) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (log (/ (sqrt (+ 1 N)) (sqrt N)))) (exp (log (/ (sqrt (+ 1 N)) (sqrt N)))) (* (cbrt (log (/ (sqrt (+ 1 N)) (sqrt N)))) (cbrt (log (/ (sqrt (+ 1 N)) (sqrt N))))) (cbrt (log (/ (sqrt (+ 1 N)) (sqrt N)))) (* (* (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N)))) (log (/ (sqrt (+ 1 N)) (sqrt N)))) (sqrt (log (/ (sqrt (+ 1 N)) (sqrt N)))) (sqrt (log (/ (sqrt (+ 1 N)) (sqrt N)))) (real->posit16 (log (/ (sqrt (+ 1 N)) (sqrt N)))) (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log 1) (log (sqrt (+ 1 N))) (log (sqrt (+ (pow 1 3) (pow N 3)))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (- (* 1 1) (* N N)))) (log (sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt N))) (- 0 (log (sqrt N))) (- (log 1) (log (sqrt N))) (log (/ 1 (sqrt N))) (exp (/ 1 (sqrt N))) (/ (* (* 1 1) 1) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N)))) (cbrt (/ 1 (sqrt N))) (* (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (/ 1 (sqrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ 1 (sqrt N))) (- 1) (- (sqrt N)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt 1) (cbrt (sqrt N))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt 1) (sqrt (cbrt N))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt N))) (/ (cbrt 1) (sqrt (sqrt N))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt N)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt N))) (/ (cbrt 1) (sqrt (sqrt N))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt N)) (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt 1) (cbrt (sqrt N))) (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt 1) (sqrt (cbrt N))) (/ (sqrt 1) (sqrt (sqrt N))) (/ (sqrt 1) (sqrt (sqrt N))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt N)) (/ (sqrt 1) (sqrt (sqrt N))) (/ (sqrt 1) (sqrt (sqrt N))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ 1 (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ 1 (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ 1 (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) (/ 1 1) (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) 1) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt N))) (/ 1 1) (/ (sqrt N) (cbrt 1)) (/ (sqrt N) (sqrt 1)) (/ (sqrt N) 1) (real->posit16 (/ 1 (sqrt N))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (log (/ 1 N)) (* 2 (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (* 2 (log +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.394 * * [simplify]: iteration 0: 292 enodes 9.493 * * [simplify]: iteration 1: 589 enodes 9.700 * * [simplify]: iteration 2: 1261 enodes 10.277 * * [simplify]: iteration 3: 3542 enodes 11.551 * * [simplify]: iteration complete: 5000 enodes 11.552 * * [simplify]: Extracting #0: cost 97 inf + 0 11.554 * * [simplify]: Extracting #1: cost 436 inf + 4 11.560 * * [simplify]: Extracting #2: cost 919 inf + 4500 11.574 * * [simplify]: Extracting #3: cost 927 inf + 35440 11.628 * * [simplify]: Extracting #4: cost 253 inf + 185993 11.692 * * [simplify]: Extracting #5: cost 53 inf + 252925 11.756 * * [simplify]: Extracting #6: cost 18 inf + 261059 11.806 * * [simplify]: Extracting #7: cost 6 inf + 262829 11.863 * * [simplify]: Extracting #8: cost 0 inf + 265247 11.935 * [simplify]: Simplified to: (/ (sqrt (+ N 1)) (sqrt N)) (log (log (/ (sqrt (+ N 1)) (sqrt N)))) (/ (sqrt (+ N 1)) (sqrt N)) (* (cbrt (log (/ (sqrt (+ N 1)) (sqrt N)))) (cbrt (log (/ (sqrt (+ N 1)) (sqrt N))))) (cbrt (log (/ (sqrt (+ N 1)) (sqrt N)))) (* (* (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt N)))) (sqrt (log (/ (sqrt (+ N 1)) (sqrt N)))) (sqrt (log (/ (sqrt (+ N 1)) (sqrt N)))) (- (* (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (log (sqrt (+ N 1)))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N)))) (+ (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (* (log (sqrt N)) (+ (log (sqrt (+ N 1))) (log (sqrt N))))) (- (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (* (log (sqrt N)) (log (sqrt N)))) (+ (log (sqrt (+ N 1))) (log (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (+ (+ (log (sqrt (+ N 1))) (log (cbrt (/ 1 (sqrt N))))) (log (cbrt (/ 1 (sqrt N))))) (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 (sqrt N))))) (- (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (log (cbrt (sqrt N)))) (- (log (sqrt (+ N 1))) (log (fabs (cbrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (sqrt (+ N 1))) (- (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (log (cbrt (sqrt N)))) (- (log (sqrt (+ N 1))) (log (fabs (cbrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (sqrt (+ N 1))) (- (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (log (cbrt (sqrt N)))) (- (log (sqrt (+ N 1))) (log (fabs (cbrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (+ (log (sqrt N)) (log (sqrt (- (+ 1 (* N N)) N)))) (+ (log (sqrt N)) (log (sqrt (- 1 N)))) (real->posit16 (log (/ (sqrt (+ N 1)) (sqrt N)))) (log (* (cbrt (/ (sqrt (+ N 1)) (sqrt N))) (cbrt (/ (sqrt (+ N 1)) (sqrt N))))) (log (cbrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (* (/ (cbrt (sqrt (+ N 1))) (cbrt (sqrt N))) (/ (cbrt (sqrt (+ N 1))) (cbrt (sqrt N))))) (log (/ (cbrt (sqrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1))) (/ (fabs (cbrt N)) (cbrt (sqrt (+ N 1)))))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt N))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt N))) (log (/ (fabs (cbrt (+ N 1))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (cbrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (fabs (cbrt (+ N 1))) (fabs (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (fabs (cbrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt (sqrt N)))) (log (fabs (cbrt (+ N 1)))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt N))) (log (/ (fabs (cbrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt (sqrt N)))) (log (fabs (cbrt (+ N 1)))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (fabs (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (sqrt (sqrt (+ N 1)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (sqrt (sqrt (+ N 1)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (- (log (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (- (log (fabs (cbrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (- (log (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) 0 (log (/ (sqrt (+ N 1)) (sqrt N))) (- (log (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) 0 (log (/ (sqrt (+ N 1)) (sqrt N))) (- (log (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (- (log (fabs (cbrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (- (log (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) 0 (log (/ (sqrt (+ N 1)) (sqrt N))) (- (log (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) 0 (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (fabs (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (sqrt (sqrt (+ N 1)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (sqrt (sqrt (+ N 1)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (- (log (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (- (log (fabs (cbrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (- (log (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) 0 (log (/ (sqrt (+ N 1)) (sqrt N))) (- (log (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) 0 (log (/ (sqrt (+ N 1)) (sqrt N))) 0 (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (- (log (sqrt N))) (log (sqrt (+ N 1))) (log (sqrt N)) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (log (/ (sqrt (+ N 1)) (sqrt N)))) (/ (sqrt (+ N 1)) (sqrt N)) (* (cbrt (log (/ (sqrt (+ N 1)) (sqrt N)))) (cbrt (log (/ (sqrt (+ N 1)) (sqrt N))))) (cbrt (log (/ (sqrt (+ N 1)) (sqrt N)))) (* (* (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt N)))) (sqrt (log (/ (sqrt (+ N 1)) (sqrt N)))) (sqrt (log (/ (sqrt (+ N 1)) (sqrt N)))) (real->posit16 (log (/ (sqrt (+ N 1)) (sqrt N)))) (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (cbrt (sqrt (+ N 1)))) (log (fabs (cbrt (+ N 1)))) (log (sqrt (cbrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log (sqrt (+ N 1))) (log (sqrt (+ (* N (* N N)) 1))) (log (sqrt (- (+ 1 (* N N)) N))) (log (sqrt (- 1 (* N N)))) (log (sqrt (- 1 N))) (log (+ N 1)) (log (sqrt (+ N 1))) (log (+ N 1)) (log (log (sqrt (+ N 1)))) (sqrt (+ N 1)) (* (cbrt (log (sqrt (+ N 1)))) (cbrt (log (sqrt (+ N 1))))) (cbrt (log (sqrt (+ N 1)))) (* (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (log (sqrt (+ N 1)))) (sqrt (log (sqrt (+ N 1)))) (sqrt (log (sqrt (+ N 1)))) (real->posit16 (log (sqrt (+ N 1)))) -1/2 -1 -1/2 (- (log (sqrt N))) (- (log (sqrt N))) (- (log (sqrt N))) (- (log (sqrt N))) (exp (/ 1 (sqrt N))) (/ (/ 1 N) (sqrt N)) (* (cbrt (/ 1 (sqrt N))) (cbrt (/ 1 (sqrt N)))) (cbrt (/ 1 (sqrt N))) (/ (/ 1 N) (sqrt N)) (sqrt (/ 1 (sqrt N))) (sqrt (/ 1 (sqrt N))) -1 (- (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ 1 (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ 1 (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ 1 (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ 1 (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ 1 (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ 1 (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt N)) (sqrt N) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt (sqrt N))) 1 (sqrt N) (sqrt N) (sqrt N) (real->posit16 (/ 1 (sqrt N))) (- (log +nan.0) (* +nan.0 (- N (* N N)))) (+ (- (/ +nan.0 N) (/ +nan.0 (* N N))) (- (* 2 (log +nan.0)) (log N))) (- (+ (* 2 (log +nan.0)) (/ +nan.0 N)) (/ +nan.0 (* N N))) (- (log +nan.0) (* +nan.0 (- N (* N N)))) (+ (/ 1/2 N) (- (/ (/ 1/6 N) (* N N)) (/ 1/4 (* N N)))) (- (- (log (- +nan.0)) (/ +nan.0 (* N N))) (/ (- +nan.0) N)) (+ (* 1/2 N) (* (* N N) (- (* 1/6 N) 1/4))) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (- (- (* +nan.0 N)) (+ (* (- (* +nan.0 N)) N) +nan.0)) (+ (- (/ (- +nan.0) (* N N)) (/ (/ (- +nan.0) N) (* N N))) (/ (- +nan.0) N)) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) 11.956 * * * [progress]: adding candidates to table 12.839 * [progress]: [Phase 3 of 3] Extracting. 12.839 * * [regime]: Finding splitpoints for: (# # # # #) 12.840 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.840 * * * * [regimes]: Trying to branch on N from (# # # # #) 12.878 * * * [regime]: Found split indices: #