22.788 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.101 * * * [progress]: [2/2] Setting up program. 0.105 * [progress]: [Phase 2 of 3] Improving. 0.105 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.105 * * [simplify]: iteration 0: 6 enodes 0.106 * * [simplify]: iteration 1: 9 enodes 0.108 * * [simplify]: iteration 2: 10 enodes 0.109 * * [simplify]: iteration complete: 10 enodes 0.109 * * [simplify]: Extracting #0: cost 1 inf + 0 0.109 * * [simplify]: Extracting #1: cost 4 inf + 0 0.109 * * [simplify]: Extracting #2: cost 6 inf + 0 0.109 * * [simplify]: Extracting #3: cost 6 inf + 1 0.109 * * [simplify]: Extracting #4: cost 0 inf + 560 0.109 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.110 * * [progress]: iteration 1 / 4 0.110 * * * [progress]: picking best candidate 0.113 * * * * [pick]: Picked # 0.113 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.124 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.127 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.144 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.144 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.144 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.145 * [backup-simplify]: Simplify 1.0 into 1.0 0.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.146 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.146 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.146 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.147 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.147 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.165 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.168 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.168 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.168 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.168 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [backup-simplify]: Simplify 1.0 into 1.0 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.170 * [backup-simplify]: Simplify (log 1) into 0 0.170 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.171 * [backup-simplify]: Simplify (log 1) into 0 0.172 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.172 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.190 * [backup-simplify]: Simplify -0.5 into -0.5 0.191 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.191 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.191 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (- 1) into -1 0.192 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.193 * [backup-simplify]: Simplify (log -1) into (log -1) 0.193 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [backup-simplify]: Simplify 1.0 into 1.0 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) 0.195 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.196 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.204 * [backup-simplify]: Simplify -1.0 into -1.0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.226 * [backup-simplify]: Simplify -0.5 into -0.5 0.227 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.227 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.227 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.227 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.227 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.227 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.227 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.228 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.228 * [taylor]: Taking taylor expansion of (log N) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (log 1) into 0 0.229 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.229 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.229 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of 1.0 in N 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.229 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.229 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.229 * [taylor]: Taking taylor expansion of (log N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (log 1) into 0 0.230 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.230 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.231 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.231 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.238 * [backup-simplify]: Simplify 1.0 into 1.0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.250 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.255 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.258 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.258 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.258 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.258 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.258 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.258 * [taylor]: Taking taylor expansion of N in N 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of 1.0 in N 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (log 1) into 0 0.259 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.259 * [taylor]: Taking taylor expansion of N in N 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (log 1) into 0 0.260 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.260 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.260 * [taylor]: Taking taylor expansion of N in N 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [taylor]: Taking taylor expansion of 1.0 in N 0.261 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.261 * [backup-simplify]: Simplify (log 1) into 0 0.261 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.261 * [taylor]: Taking taylor expansion of N in N 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [backup-simplify]: Simplify (log 1) into 0 0.262 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.263 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.263 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.263 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.272 * [backup-simplify]: Simplify 1.0 into 1.0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.284 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [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 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.299 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.299 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.300 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.300 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.300 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.300 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.300 * [taylor]: Taking taylor expansion of 1.0 in N 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.300 * [taylor]: Taking taylor expansion of N in N 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (- 1) into -1 0.301 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.301 * [backup-simplify]: Simplify (log -1) into (log -1) 0.301 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.301 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.301 * [taylor]: Taking taylor expansion of -1 in N 0.301 * [backup-simplify]: Simplify -1 into -1 0.301 * [taylor]: Taking taylor expansion of N in N 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ -1 1) into -1 0.301 * [backup-simplify]: Simplify (log -1) into (log -1) 0.302 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.302 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.302 * [taylor]: Taking taylor expansion of 1.0 in N 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (- 1) into -1 0.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.303 * [backup-simplify]: Simplify (log -1) into (log -1) 0.303 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.303 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.303 * [taylor]: Taking taylor expansion of -1 in N 0.303 * [backup-simplify]: Simplify -1 into -1 0.303 * [taylor]: Taking taylor expansion of N in N 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ -1 1) into -1 0.303 * [backup-simplify]: Simplify (log -1) into (log -1) 0.304 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.305 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.305 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.306 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.314 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.333 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [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 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.365 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.366 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.366 * * * [progress]: simplifying candidates 0.367 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.368 * * [simplify]: iteration 0: 101 enodes 0.388 * * [simplify]: iteration 1: 213 enodes 0.457 * * [simplify]: iteration 2: 538 enodes 0.703 * * [simplify]: iteration 3: 1603 enodes 1.927 * * [simplify]: iteration 4: 4941 enodes 3.064 * * [simplify]: iteration complete: 5003 enodes 3.064 * * [simplify]: Extracting #0: cost 39 inf + 0 3.065 * * [simplify]: Extracting #1: cost 324 inf + 1 3.078 * * [simplify]: Extracting #2: cost 1071 inf + 3241 3.096 * * [simplify]: Extracting #3: cost 998 inf + 49885 3.142 * * [simplify]: Extracting #4: cost 268 inf + 153066 3.206 * * [simplify]: Extracting #5: cost 25 inf + 215114 3.257 * * [simplify]: Extracting #6: cost 0 inf + 223302 3.338 * * [simplify]: Extracting #7: cost 0 inf + 223262 3.392 * [simplify]: Simplified to: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (* N (* N N)) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (log N)) (* (+ (log (+ 1.0 N)) (log N)) (log (+ 1.0 N)))) (- (log N)) (* (+ (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (- (log (+ 1.0 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (log 1.0) (- (* (* (/ N 1.0) (/ N 1.0)) 1/2) (* N 1.0))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (log 1.0) (- (* N 1.0) (log N))) (* (* (/ N 1.0) (/ N 1.0)) 1/2)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) 3.394 * * * [progress]: adding candidates to table 3.641 * * [progress]: iteration 2 / 4 3.641 * * * [progress]: picking best candidate 3.652 * * * * [pick]: Picked # 3.652 * * * [progress]: localizing error 3.685 * * * [progress]: generating rewritten candidates 3.685 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.746 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.752 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.764 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.964 * * * [progress]: generating series expansions 3.964 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.965 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.965 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.965 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.965 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.965 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.965 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.965 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.965 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.965 * [taylor]: Taking taylor expansion of N in N 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (* 1 1) into 1 3.966 * [backup-simplify]: Simplify (* 1 1) into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.966 * [taylor]: Taking taylor expansion of 0.5 in N 3.966 * [backup-simplify]: Simplify 0.5 into 0.5 3.966 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.966 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.966 * [taylor]: Taking taylor expansion of N in N 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (* 1 1) into 1 3.967 * [backup-simplify]: Simplify (/ 1 1) into 1 3.967 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.967 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.967 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.967 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.967 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.967 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.967 * [taylor]: Taking taylor expansion of N in N 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 1 into 1 3.967 * [backup-simplify]: Simplify (* 1 1) into 1 3.967 * [backup-simplify]: Simplify (* 1 1) into 1 3.968 * [backup-simplify]: Simplify (/ 1 1) into 1 3.968 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.968 * [taylor]: Taking taylor expansion of 0.5 in N 3.968 * [backup-simplify]: Simplify 0.5 into 0.5 3.968 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.968 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.968 * [taylor]: Taking taylor expansion of N in N 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (* 1 1) into 1 3.968 * [backup-simplify]: Simplify (/ 1 1) into 1 3.969 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.969 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.969 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.971 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.971 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.972 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.972 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.975 * [backup-simplify]: Simplify (- 0) into 0 3.976 * [backup-simplify]: Simplify (+ 0 0) into 0 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.980 * [backup-simplify]: Simplify (- 0) into 0 3.980 * [backup-simplify]: Simplify (+ 0 0) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (- 0) into 0 3.985 * [backup-simplify]: Simplify (+ 0 0) into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.990 * [backup-simplify]: Simplify (- 0) into 0 3.990 * [backup-simplify]: Simplify (+ 0 0) into 0 3.990 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.996 * [backup-simplify]: Simplify (- 0) into 0 3.996 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.000 * [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 4.001 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.003 * [backup-simplify]: Simplify (- 0) into 0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 4.004 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 4.004 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 4.004 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 4.004 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.004 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.004 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.004 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.004 * [taylor]: Taking taylor expansion of N in N 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.004 * [taylor]: Taking taylor expansion of 0.5 in N 4.004 * [backup-simplify]: Simplify 0.5 into 0.5 4.005 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 4.005 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.005 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.005 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.005 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.005 * [taylor]: Taking taylor expansion of 0.5 in N 4.005 * [backup-simplify]: Simplify 0.5 into 0.5 4.005 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (* 1 1) into 1 4.005 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.006 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.006 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.006 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.007 * [backup-simplify]: Simplify (* 1 1) into 1 4.007 * [backup-simplify]: Simplify (* 1 1) into 1 4.007 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.008 * [backup-simplify]: Simplify (- 0) into 0 4.008 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.008 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.010 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.012 * [backup-simplify]: Simplify (- 0) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.015 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.018 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.018 * [backup-simplify]: Simplify (- 0) into 0 4.018 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.024 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.025 * [backup-simplify]: Simplify (- 0) into 0 4.025 * [backup-simplify]: Simplify (+ 0 0) into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.029 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.032 * [backup-simplify]: Simplify (- 0) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.036 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.040 * [backup-simplify]: Simplify (- 0) into 0 4.040 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.045 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.048 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (+ 0 0) into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 4.050 * [backup-simplify]: Simplify (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 4.050 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 4.050 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 4.050 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 4.050 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.051 * [taylor]: Taking taylor expansion of 0.5 in N 4.051 * [backup-simplify]: Simplify 0.5 into 0.5 4.051 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.051 * [taylor]: Taking taylor expansion of N in N 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.051 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.051 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.051 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.051 * [taylor]: Taking taylor expansion of N in N 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 4.051 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 4.051 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.051 * [taylor]: Taking taylor expansion of 0.5 in N 4.051 * [backup-simplify]: Simplify 0.5 into 0.5 4.051 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.051 * [taylor]: Taking taylor expansion of N in N 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.051 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.051 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.051 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.051 * [taylor]: Taking taylor expansion of N in N 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (* 1 1) into 1 4.052 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.053 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.053 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.053 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.055 * [backup-simplify]: Simplify (* 1 1) into 1 4.055 * [backup-simplify]: Simplify (* 1 1) into 1 4.056 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.056 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 4.057 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.057 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.061 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.061 * [backup-simplify]: Simplify (+ 0 0) into 0 4.062 * [backup-simplify]: Simplify (- 0) into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.066 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.066 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (- 0) into 0 4.066 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.068 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ 0 0) into 0 4.070 * [backup-simplify]: Simplify (- 0) into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.074 * [backup-simplify]: Simplify (+ 0 0) into 0 4.074 * [backup-simplify]: Simplify (- 0) into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.076 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.078 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.078 * [backup-simplify]: Simplify (+ 0 0) into 0 4.079 * [backup-simplify]: Simplify (- 0) into 0 4.079 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.081 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.083 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.084 * [backup-simplify]: Simplify (+ 0 0) into 0 4.084 * [backup-simplify]: Simplify (- 0) into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* (- 0.5) (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 4.085 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.085 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 4.085 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 4.085 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 4.085 * [taylor]: Taking taylor expansion of 0.5 in N 4.085 * [backup-simplify]: Simplify 0.5 into 0.5 4.085 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.085 * [taylor]: Taking taylor expansion of N in N 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.085 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 4.085 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 4.085 * [taylor]: Taking taylor expansion of 0.5 in N 4.085 * [backup-simplify]: Simplify 0.5 into 0.5 4.085 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.085 * [taylor]: Taking taylor expansion of N in N 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 4.086 * [backup-simplify]: Simplify 0.5 into 0.5 4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 4.094 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 4.094 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 4.094 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.094 * [taylor]: Taking taylor expansion of 0.5 in N 4.094 * [backup-simplify]: Simplify 0.5 into 0.5 4.094 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.094 * [taylor]: Taking taylor expansion of N in N 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.094 * [taylor]: Taking taylor expansion of 0.5 in N 4.094 * [backup-simplify]: Simplify 0.5 into 0.5 4.094 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.094 * [taylor]: Taking taylor expansion of N in N 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (* 1 1) into 1 4.094 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.094 * [backup-simplify]: Simplify 0.5 into 0.5 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.096 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.100 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.107 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 4.107 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 4.107 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 4.107 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.107 * [taylor]: Taking taylor expansion of 0.5 in N 4.107 * [backup-simplify]: Simplify 0.5 into 0.5 4.107 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.107 * [taylor]: Taking taylor expansion of N in N 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.107 * [taylor]: Taking taylor expansion of 0.5 in N 4.107 * [backup-simplify]: Simplify 0.5 into 0.5 4.107 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.107 * [taylor]: Taking taylor expansion of N in N 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.108 * [backup-simplify]: Simplify (* 1 1) into 1 4.108 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.108 * [backup-simplify]: Simplify 0.5 into 0.5 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.113 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.113 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 4.125 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.125 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 4.125 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 4.125 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 4.125 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.125 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.125 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.125 * [taylor]: Taking taylor expansion of N in N 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (* 1 1) into 1 4.126 * [backup-simplify]: Simplify (* 1 1) into 1 4.126 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 4.126 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 4.126 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.127 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.127 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.127 * [taylor]: Taking taylor expansion of N in N 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 1 into 1 4.127 * [backup-simplify]: Simplify (* 1 1) into 1 4.127 * [backup-simplify]: Simplify (* 1 1) into 1 4.128 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 4.128 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 4.149 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 4.149 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 4.149 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.149 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.149 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.149 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.149 * [taylor]: Taking taylor expansion of N in N 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.149 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.149 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.149 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.149 * [taylor]: Taking taylor expansion of N in N 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (* 1 1) into 1 4.150 * [backup-simplify]: Simplify (* 1 1) into 1 4.150 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.150 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.151 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.153 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.157 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.159 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 4.162 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 4.162 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 4.162 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 4.162 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 4.162 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.162 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.162 * [taylor]: Taking taylor expansion of N in N 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 4.162 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 4.162 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.162 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.162 * [taylor]: Taking taylor expansion of N in N 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [backup-simplify]: Simplify (* 1 1) into 1 4.163 * [backup-simplify]: Simplify (* 1 1) into 1 4.163 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 4.163 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.164 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 4.164 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.166 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.170 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.172 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.174 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 4.175 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.175 * [backup-simplify]: Simplify (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.175 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 4.175 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 4.175 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 4.175 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 4.175 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.175 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.175 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.175 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.175 * [taylor]: Taking taylor expansion of N in N 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.175 * [backup-simplify]: Simplify (* 1 1) into 1 4.176 * [backup-simplify]: Simplify (* 1 1) into 1 4.176 * [backup-simplify]: Simplify (/ 1 1) into 1 4.176 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.176 * [taylor]: Taking taylor expansion of 1.0 in N 4.176 * [backup-simplify]: Simplify 1.0 into 1.0 4.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.176 * [taylor]: Taking taylor expansion of N in N 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [backup-simplify]: Simplify (/ 1 1) into 1 4.176 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 4.176 * [taylor]: Taking taylor expansion of 0.5 in N 4.176 * [backup-simplify]: Simplify 0.5 into 0.5 4.176 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.176 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.176 * [taylor]: Taking taylor expansion of N in N 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.177 * [backup-simplify]: Simplify (* 1 1) into 1 4.177 * [backup-simplify]: Simplify (/ 1 1) into 1 4.177 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 4.177 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 4.177 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 4.177 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.177 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.177 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 4.177 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.177 * [taylor]: Taking taylor expansion of N in N 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [backup-simplify]: Simplify (* 1 1) into 1 4.177 * [backup-simplify]: Simplify (* 1 1) into 1 4.178 * [backup-simplify]: Simplify (/ 1 1) into 1 4.178 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.178 * [taylor]: Taking taylor expansion of 1.0 in N 4.178 * [backup-simplify]: Simplify 1.0 into 1.0 4.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.178 * [taylor]: Taking taylor expansion of N in N 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (/ 1 1) into 1 4.178 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 4.178 * [taylor]: Taking taylor expansion of 0.5 in N 4.178 * [backup-simplify]: Simplify 0.5 into 0.5 4.178 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.178 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.178 * [taylor]: Taking taylor expansion of N in N 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (* 1 1) into 1 4.179 * [backup-simplify]: Simplify (/ 1 1) into 1 4.179 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.179 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.180 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.180 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.181 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.182 * [backup-simplify]: Simplify (+ 0 0) into 0 4.182 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.182 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.183 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.184 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.188 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.188 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.191 * [backup-simplify]: Simplify (- 0) into 0 4.191 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.191 * [backup-simplify]: Simplify 1.0 into 1.0 4.192 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 4.193 * [backup-simplify]: Simplify (+ (- (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 1.0 (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 4.193 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 4.193 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 4.193 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 4.193 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.193 * [taylor]: Taking taylor expansion of 1.0 in N 4.193 * [backup-simplify]: Simplify 1.0 into 1.0 4.193 * [taylor]: Taking taylor expansion of N in N 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.193 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.193 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.193 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.193 * [taylor]: Taking taylor expansion of N in N 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.193 * [taylor]: Taking taylor expansion of 0.5 in N 4.193 * [backup-simplify]: Simplify 0.5 into 0.5 4.193 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.193 * [taylor]: Taking taylor expansion of N in N 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 4.193 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 4.193 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.193 * [taylor]: Taking taylor expansion of 1.0 in N 4.193 * [backup-simplify]: Simplify 1.0 into 1.0 4.193 * [taylor]: Taking taylor expansion of N in N 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.193 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.193 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.194 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.194 * [taylor]: Taking taylor expansion of N in N 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.194 * [taylor]: Taking taylor expansion of 0.5 in N 4.194 * [backup-simplify]: Simplify 0.5 into 0.5 4.194 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.194 * [taylor]: Taking taylor expansion of N in N 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.195 * [backup-simplify]: Simplify (+ 0 0) into 0 4.195 * [backup-simplify]: Simplify (+ 0 0) into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.197 * [backup-simplify]: Simplify 1.0 into 1.0 4.198 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.199 * [backup-simplify]: Simplify (+ 0 0) into 0 4.199 * [backup-simplify]: Simplify (* 1 1) into 1 4.199 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.200 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.201 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.201 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.202 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.203 * [backup-simplify]: Simplify (* 1 1) into 1 4.203 * [backup-simplify]: Simplify (* 1 1) into 1 4.204 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.204 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 4.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.206 * [backup-simplify]: Simplify (- 0) into 0 4.206 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.206 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.207 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.208 * [backup-simplify]: Simplify (+ (- (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) 4.208 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in (N) around 0 4.208 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 4.208 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 4.208 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.208 * [taylor]: Taking taylor expansion of 1.0 in N 4.208 * [backup-simplify]: Simplify 1.0 into 1.0 4.208 * [taylor]: Taking taylor expansion of N in N 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 4.208 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.208 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.208 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.208 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.208 * [taylor]: Taking taylor expansion of N in N 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.209 * [taylor]: Taking taylor expansion of 0.5 in N 4.209 * [backup-simplify]: Simplify 0.5 into 0.5 4.209 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.209 * [taylor]: Taking taylor expansion of N in N 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))))) in N 4.209 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2)))) in N 4.209 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.209 * [taylor]: Taking taylor expansion of 1.0 in N 4.209 * [backup-simplify]: Simplify 1.0 into 1.0 4.209 * [taylor]: Taking taylor expansion of N in N 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 4.209 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.209 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.209 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.209 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.209 * [taylor]: Taking taylor expansion of N in N 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 4.209 * [taylor]: Taking taylor expansion of 0.5 in N 4.209 * [backup-simplify]: Simplify 0.5 into 0.5 4.209 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.209 * [taylor]: Taking taylor expansion of N in N 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.210 * [backup-simplify]: Simplify (+ 0 0) into 0 4.211 * [backup-simplify]: Simplify (- 0) into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.213 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.213 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.213 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.214 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.214 * [backup-simplify]: Simplify (* 1 1) into 1 4.214 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.215 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.215 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.215 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.215 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.216 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.216 * [backup-simplify]: Simplify (* 1 1) into 1 4.217 * [backup-simplify]: Simplify (* 1 1) into 1 4.217 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.218 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.218 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 4.218 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.219 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.220 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.220 * * * [progress]: simplifying candidates 4.223 * [simplify]: Simplifying: (/ (exp (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ 0.5 (* N N)))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 N) 0.5) (- (* (/ 0.3333333333333333 N) (* N N)) (* (* N N) 0.5)) (* (* N N) (* N N)) (- (pow (/ (/ 0.3333333333333333 N) (* N N)) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt (/ 0.5 (* N N)))) (- (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (sqrt (/ 0.5 (* N N)))) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.5) N)) (- (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.5) N)) (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.5 (* N N))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (- (log 0.3333333333333333) (log N)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (* (/ (exp (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ 0.5 (* N N)))) (exp (/ 1.0 N))) (* (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (/ 1.0 N))) (log (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (* (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (cbrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (* (* (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (sqrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (sqrt (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (+ (* (- (/ 0.3333333333333333 N) 0.5) N) (* (* N N) 1.0)) (* (* N N) N) (+ (* (- (* (/ 0.3333333333333333 N) (* N N)) (* (* N N) 0.5)) N) (* (* (* N N) (* N N)) 1.0)) (* (* (* N N) (* N N)) N) (+ (* (- (pow (/ (/ 0.3333333333333333 N) (* N N)) 3) (pow (/ 0.5 (* N N)) 3)) N) (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) 1.0)) (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) N) (+ (* (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) N) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) 1.0)) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) N) (+ (pow (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) 3) (pow (/ 1.0 N) 3)) (+ (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)))) (- (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))) (- (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ 0.5 (* N N))) (/ 1.0 N)) (- (/ 0.5 (* N N)) (/ 1.0 N)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.226 * * [simplify]: iteration 0: 215 enodes 4.275 * * [simplify]: iteration 1: 553 enodes 4.574 * * [simplify]: iteration 2: 1816 enodes 5.212 * * [simplify]: iteration complete: 5001 enodes 5.212 * * [simplify]: Extracting #0: cost 108 inf + 0 5.214 * * [simplify]: Extracting #1: cost 977 inf + 0 5.219 * * [simplify]: Extracting #2: cost 1850 inf + 1164 5.235 * * [simplify]: Extracting #3: cost 1718 inf + 48896 5.313 * * [simplify]: Extracting #4: cost 755 inf + 245283 5.386 * * [simplify]: Extracting #5: cost 109 inf + 417496 5.482 * * [simplify]: Extracting #6: cost 1 inf + 454342 5.596 * * [simplify]: Extracting #7: cost 0 inf + 454276 5.708 * [simplify]: Simplified to: (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (exp (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (- (/ 0.3333333333333333 N) 0.5) (- (* (/ 0.3333333333333333 N) (* N N)) (* N (* 0.5 N))) (* (* N N) (* N N)) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (/ (- 0.5) (* N N)) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (- (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (sqrt 0.5) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (+ (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.5) N)) (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 N) 0.5) (/ (- 0.5) (* N N)) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (* (- N) N) (* (/ (cbrt 0.5) N) (cbrt 0.5)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ (/ 1 N) N) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ N (/ (sqrt 0.5) N)) (/ (* N N) 0.5) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (- 0.3333333333333333) N) (* (- N) N) (/ (cbrt (/ 0.3333333333333333 N)) (/ N (cbrt (/ 0.3333333333333333 N)))) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) (/ N (/ (cbrt 0.3333333333333333) (cbrt N)))) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (* (sqrt N) N)) (* (/ (cbrt 0.3333333333333333) N) (cbrt 0.3333333333333333)) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.3333333333333333) N) (cbrt N)) (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.3333333333333333) (* (sqrt N) N)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ (/ 1 (cbrt N)) (cbrt N)) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 N) (sqrt N)) (/ 0.3333333333333333 (* (sqrt N) N)) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ N (/ (/ 0.3333333333333333 N) N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ N (/ (sqrt (/ 0.3333333333333333 N)) N)) (/ N (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N)) (* (sqrt N) (/ N (/ (cbrt 0.3333333333333333) N))) (/ N (/ (/ (cbrt 0.3333333333333333) N) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (* (/ N (/ 0.3333333333333333 N)) (cbrt N)) (/ (* (* N N) (sqrt N)) 0.3333333333333333) (/ N (/ (/ 0.3333333333333333 N) N)) (/ N (/ (/ 0.3333333333333333 N) N)) (* N (* N N)) (* N (* N N)) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (log (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (exp (+ (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (/ 1.0 N))) (* (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))))) (cbrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (sqrt (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N)))) (* N (+ (* 1.0 N) (- (/ 0.3333333333333333 N) 0.5))) (* N (* N N)) (+ (* (- (* (/ 0.3333333333333333 N) (* N N)) (* N (* 0.5 N))) N) (* (* N N) (* (* N N) 1.0))) (* (* N (* N N)) (* N N)) (+ (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) 1.0) (* (- (* (/ (/ 0.3333333333333333 N) (* N N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) N)) (* (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) N) (+ (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) 1.0) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) N))) (* (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) N) (+ (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))))) (* (* (/ 1.0 N) (/ 1.0 N)) (/ 1.0 N))) (+ (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (- (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))))) (- (* (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (- (/ (/ 0.3333333333333333 N) (* N N)) (- (/ 0.5 (* N N)) (/ 1.0 N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 1.0 N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) 5.721 * * * [progress]: adding candidates to table 6.269 * * [progress]: iteration 3 / 4 6.269 * * * [progress]: picking best candidate 6.281 * * * * [pick]: Picked # 6.282 * * * [progress]: localizing error 6.290 * * * [progress]: generating rewritten candidates 6.290 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.296 * * * [progress]: generating series expansions 6.296 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.296 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 6.296 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 6.296 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.296 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.296 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.296 * [taylor]: Taking taylor expansion of N in N 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify 1 into 1 6.297 * [taylor]: Taking taylor expansion of 1.0 in N 6.297 * [backup-simplify]: Simplify 1.0 into 1.0 6.297 * [taylor]: Taking taylor expansion of N in N 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify 1 into 1 6.297 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.297 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.298 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.298 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.298 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.298 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.298 * [taylor]: Taking taylor expansion of N in N 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.298 * [taylor]: Taking taylor expansion of 1.0 in N 6.298 * [backup-simplify]: Simplify 1.0 into 1.0 6.298 * [taylor]: Taking taylor expansion of N in N 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.298 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.298 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.299 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.299 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.300 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 6.300 * [backup-simplify]: Simplify (+ 1 0) into 1 6.300 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.304 * [backup-simplify]: Simplify 1.0 into 1.0 6.304 * [backup-simplify]: Simplify (+ 0 0) into 0 6.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.311 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 6.312 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 6.312 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 6.312 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 6.312 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.312 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.312 * [taylor]: Taking taylor expansion of N in N 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.312 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.312 * [taylor]: Taking taylor expansion of N in N 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (/ 1 1) into 1 6.313 * [taylor]: Taking taylor expansion of 1.0 in N 6.313 * [backup-simplify]: Simplify 1.0 into 1.0 6.313 * [backup-simplify]: Simplify (+ 1 0) into 1 6.313 * [backup-simplify]: Simplify (* 0 1) into 0 6.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.314 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.315 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.315 * [backup-simplify]: Simplify (log 1) into 0 6.315 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.315 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.315 * [taylor]: Taking taylor expansion of N in N 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 1 into 1 6.315 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.316 * [taylor]: Taking taylor expansion of N in N 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (/ 1 1) into 1 6.316 * [taylor]: Taking taylor expansion of 1.0 in N 6.316 * [backup-simplify]: Simplify 1.0 into 1.0 6.316 * [backup-simplify]: Simplify (+ 1 0) into 1 6.317 * [backup-simplify]: Simplify (* 0 1) into 0 6.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.318 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.319 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.319 * [backup-simplify]: Simplify (log 1) into 0 6.319 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (+ 0 0) into 0 6.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.329 * [backup-simplify]: Simplify 1.0 into 1.0 6.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.331 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.339 * [backup-simplify]: Simplify -0.5 into -0.5 6.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.339 * [backup-simplify]: Simplify (+ 0 0) into 0 6.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.350 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 6.350 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.350 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.350 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 6.350 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 6.350 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.350 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.350 * [taylor]: Taking taylor expansion of -1 in N 6.350 * [backup-simplify]: Simplify -1 into -1 6.350 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.350 * [taylor]: Taking taylor expansion of N in N 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.350 * [taylor]: Taking taylor expansion of 1.0 in N 6.350 * [backup-simplify]: Simplify 1.0 into 1.0 6.350 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.350 * [taylor]: Taking taylor expansion of N in N 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify (/ 1 1) into 1 6.351 * [backup-simplify]: Simplify (- 1) into -1 6.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.351 * [backup-simplify]: Simplify (* 0 -1) into 0 6.352 * [backup-simplify]: Simplify (* -1 0) into 0 6.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.352 * [backup-simplify]: Simplify (- 0) into 0 6.353 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.353 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.353 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.354 * [backup-simplify]: Simplify (log 1) into 0 6.354 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.354 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.354 * [taylor]: Taking taylor expansion of -1 in N 6.354 * [backup-simplify]: Simplify -1 into -1 6.354 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.354 * [taylor]: Taking taylor expansion of N in N 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.354 * [taylor]: Taking taylor expansion of 1.0 in N 6.354 * [backup-simplify]: Simplify 1.0 into 1.0 6.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.354 * [taylor]: Taking taylor expansion of N in N 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.354 * [backup-simplify]: Simplify (/ 1 1) into 1 6.354 * [backup-simplify]: Simplify (- 1) into -1 6.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.355 * [backup-simplify]: Simplify (* 0 -1) into 0 6.355 * [backup-simplify]: Simplify (* -1 0) into 0 6.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.356 * [backup-simplify]: Simplify (- 0) into 0 6.356 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.357 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.357 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.357 * [backup-simplify]: Simplify (log 1) into 0 6.357 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.358 * [backup-simplify]: Simplify (- 0) into 0 6.358 * [backup-simplify]: Simplify (+ 0 0) into 0 6.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.364 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 6.369 * [backup-simplify]: Simplify -1.0 into -1.0 6.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.370 * [backup-simplify]: Simplify (- 0) into 0 6.370 * [backup-simplify]: Simplify (+ 0 0) into 0 6.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.373 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.384 * [backup-simplify]: Simplify -0.5 into -0.5 6.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.385 * [backup-simplify]: Simplify (- 0) into 0 6.386 * [backup-simplify]: Simplify (+ 0 0) into 0 6.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.406 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 6.406 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.407 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.407 * * * [progress]: simplifying candidates 6.407 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.408 * * [simplify]: iteration 0: 84 enodes 6.425 * * [simplify]: iteration 1: 169 enodes 6.485 * * [simplify]: iteration 2: 349 enodes 6.654 * * [simplify]: iteration 3: 1027 enodes 7.268 * * [simplify]: iteration 4: 3461 enodes 8.205 * * [simplify]: iteration complete: 5000 enodes 8.206 * * [simplify]: Extracting #0: cost 31 inf + 0 8.207 * * [simplify]: Extracting #1: cost 399 inf + 1 8.214 * * [simplify]: Extracting #2: cost 1190 inf + 1619 8.229 * * [simplify]: Extracting #3: cost 1344 inf + 18467 8.246 * * [simplify]: Extracting #4: cost 733 inf + 79864 8.287 * * [simplify]: Extracting #5: cost 363 inf + 150557 8.368 * * [simplify]: Extracting #6: cost 103 inf + 222078 8.422 * * [simplify]: Extracting #7: cost 7 inf + 258549 8.505 * * [simplify]: Extracting #8: cost 0 inf + 261323 8.596 * * [simplify]: Extracting #9: cost 0 inf + 261321 8.662 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (+ (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (log 1.0) (* N 1.0)) (+ (log N) (* (* (/ N 1.0) (/ N 1.0)) 1/2))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) 8.664 * * * [progress]: adding candidates to table 8.775 * * [progress]: iteration 4 / 4 8.775 * * * [progress]: picking best candidate 8.783 * * * * [pick]: Picked # 8.783 * * * [progress]: localizing error 8.803 * * * [progress]: generating rewritten candidates 8.803 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 8.829 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 8.845 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 8.851 * * * [progress]: generating series expansions 8.851 * * * * [progress]: [ 1 / 3 ] generating series at (2) 8.851 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) 8.851 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 8.851 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 8.851 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 8.851 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 8.851 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 8.851 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.851 * [taylor]: Taking taylor expansion of N in N 8.851 * [backup-simplify]: Simplify 0 into 0 8.851 * [backup-simplify]: Simplify 1 into 1 8.852 * [backup-simplify]: Simplify (/ 1 1) into 1 8.852 * [backup-simplify]: Simplify (sqrt 0) into 0 8.853 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.853 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.853 * [taylor]: Taking taylor expansion of N in N 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 1 into 1 8.853 * [taylor]: Taking taylor expansion of 1.0 in N 8.853 * [backup-simplify]: Simplify 1.0 into 1.0 8.854 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.854 * [backup-simplify]: Simplify (* 0 1.0) into 0 8.854 * [backup-simplify]: Simplify (+ 1 0) into 1 8.855 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 8.856 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.856 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 8.856 * [taylor]: Taking taylor expansion of (sqrt N) in N 8.856 * [taylor]: Taking taylor expansion of N in N 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [backup-simplify]: Simplify (sqrt 0) into 0 8.857 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.857 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.857 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 8.857 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 8.857 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 8.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 8.857 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.857 * [taylor]: Taking taylor expansion of N in N 8.857 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (/ 1 1) into 1 8.858 * [backup-simplify]: Simplify (sqrt 0) into 0 8.858 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.858 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.858 * [taylor]: Taking taylor expansion of N in N 8.858 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify 1 into 1 8.859 * [taylor]: Taking taylor expansion of 1.0 in N 8.859 * [backup-simplify]: Simplify 1.0 into 1.0 8.859 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.859 * [backup-simplify]: Simplify (* 0 1.0) into 0 8.859 * [backup-simplify]: Simplify (+ 1 0) into 1 8.860 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 8.861 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.861 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 8.861 * [taylor]: Taking taylor expansion of (sqrt N) in N 8.861 * [taylor]: Taking taylor expansion of N in N 8.861 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify 1 into 1 8.861 * [backup-simplify]: Simplify (sqrt 0) into 0 8.862 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.862 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.863 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 8.863 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 8.864 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 8.869 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 8.869 * [backup-simplify]: Simplify (+ 0 0) into 0 8.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.873 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 8.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 8.887 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.894 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.895 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.895 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.896 * [backup-simplify]: Simplify (+ 0 0) into 0 8.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 8.917 * [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 8.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.928 * [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 8.929 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.929 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.929 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.931 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (log (- +nan.0)) (+ (log N) (log +nan.0))))) into (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 8.931 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) 8.931 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 8.931 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 8.931 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 8.931 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 8.931 * [taylor]: Taking taylor expansion of (sqrt N) in N 8.931 * [taylor]: Taking taylor expansion of N in N 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.931 * [backup-simplify]: Simplify (sqrt 0) into 0 8.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.932 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.932 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.932 * [taylor]: Taking taylor expansion of N in N 8.932 * [backup-simplify]: Simplify 0 into 0 8.932 * [backup-simplify]: Simplify 1 into 1 8.933 * [backup-simplify]: Simplify (/ 1 1) into 1 8.933 * [taylor]: Taking taylor expansion of 1.0 in N 8.933 * [backup-simplify]: Simplify 1.0 into 1.0 8.933 * [backup-simplify]: Simplify (+ 1 0) into 1 8.933 * [backup-simplify]: Simplify (* 0 1) into 0 8.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.934 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.935 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 8.935 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.935 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 8.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 8.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.935 * [taylor]: Taking taylor expansion of N in N 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.936 * [backup-simplify]: Simplify (/ 1 1) into 1 8.936 * [backup-simplify]: Simplify (sqrt 0) into 0 8.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.937 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.937 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 8.937 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 8.937 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 8.937 * [taylor]: Taking taylor expansion of (sqrt N) in N 8.937 * [taylor]: Taking taylor expansion of N in N 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify 1 into 1 8.937 * [backup-simplify]: Simplify (sqrt 0) into 0 8.938 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.938 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.939 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.939 * [taylor]: Taking taylor expansion of N in N 8.939 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify 1 into 1 8.939 * [backup-simplify]: Simplify (/ 1 1) into 1 8.939 * [taylor]: Taking taylor expansion of 1.0 in N 8.939 * [backup-simplify]: Simplify 1.0 into 1.0 8.939 * [backup-simplify]: Simplify (+ 1 0) into 1 8.940 * [backup-simplify]: Simplify (* 0 1) into 0 8.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.943 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 8.944 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.944 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 8.944 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 8.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.944 * [taylor]: Taking taylor expansion of N in N 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (/ 1 1) into 1 8.945 * [backup-simplify]: Simplify (sqrt 0) into 0 8.946 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.946 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.947 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 8.950 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0)) 8.951 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0)) 8.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.953 * [backup-simplify]: Simplify (+ 0 0) into 0 8.956 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 8.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 8.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.971 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.977 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.978 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.979 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.980 * [backup-simplify]: Simplify (+ 0 0) into 0 8.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 9.007 * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.027 * [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 9.027 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.028 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.028 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.031 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- (log (- +nan.0)) (log +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) 9.032 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) 9.032 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 9.032 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 9.032 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.032 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.032 * [taylor]: Taking taylor expansion of 1.0 in N 9.032 * [backup-simplify]: Simplify 1.0 into 1.0 9.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.032 * [taylor]: Taking taylor expansion of N in N 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.032 * [backup-simplify]: Simplify (/ 1 1) into 1 9.032 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.032 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.032 * [taylor]: Taking taylor expansion of -1 in N 9.032 * [backup-simplify]: Simplify -1 into -1 9.032 * [taylor]: Taking taylor expansion of N in N 9.032 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 1 into 1 9.033 * [backup-simplify]: Simplify (/ -1 1) into -1 9.033 * [backup-simplify]: Simplify (sqrt 0) into 0 9.035 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.035 * [backup-simplify]: Simplify (- 1) into -1 9.035 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.036 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.036 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.036 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.036 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.036 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.036 * [taylor]: Taking taylor expansion of -1 in N 9.036 * [backup-simplify]: Simplify -1 into -1 9.036 * [taylor]: Taking taylor expansion of N in N 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 1 into 1 9.037 * [backup-simplify]: Simplify (/ -1 1) into -1 9.037 * [backup-simplify]: Simplify (sqrt 0) into 0 9.039 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.039 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.039 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 9.039 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.039 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.039 * [taylor]: Taking taylor expansion of 1.0 in N 9.039 * [backup-simplify]: Simplify 1.0 into 1.0 9.039 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.039 * [taylor]: Taking taylor expansion of N in N 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify 1 into 1 9.040 * [backup-simplify]: Simplify (/ 1 1) into 1 9.040 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.040 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.040 * [taylor]: Taking taylor expansion of -1 in N 9.040 * [backup-simplify]: Simplify -1 into -1 9.040 * [taylor]: Taking taylor expansion of N in N 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [backup-simplify]: Simplify (/ -1 1) into -1 9.041 * [backup-simplify]: Simplify (sqrt 0) into 0 9.042 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.042 * [backup-simplify]: Simplify (- 1) into -1 9.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.043 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.044 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.044 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.044 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.044 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.044 * [taylor]: Taking taylor expansion of -1 in N 9.044 * [backup-simplify]: Simplify -1 into -1 9.044 * [taylor]: Taking taylor expansion of N in N 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 1 into 1 9.044 * [backup-simplify]: Simplify (/ -1 1) into -1 9.045 * [backup-simplify]: Simplify (sqrt 0) into 0 9.046 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.046 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.047 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.048 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.049 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N)) 9.049 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.051 * [backup-simplify]: Simplify (- 0) into 0 9.051 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.055 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.058 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.069 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.077 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.078 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.079 * [backup-simplify]: Simplify (- 0) into 0 9.079 * [backup-simplify]: Simplify (+ 0 0) into 0 9.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.089 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.105 * [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 9.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.124 * [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 9.124 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.125 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.125 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.129 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (log (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 9.129 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 9.129 * [backup-simplify]: Simplify (/ (+ N 1.0) (sqrt N)) into (* (sqrt (/ 1 N)) (+ N 1.0)) 9.129 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 9.129 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.129 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.129 * [taylor]: Taking taylor expansion of N in N 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify (/ 1 1) into 1 9.130 * [backup-simplify]: Simplify (sqrt 0) into 0 9.131 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.132 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.132 * [taylor]: Taking taylor expansion of N in N 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [taylor]: Taking taylor expansion of 1.0 in N 9.132 * [backup-simplify]: Simplify 1.0 into 1.0 9.132 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.132 * [taylor]: Taking taylor expansion of N in N 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (/ 1 1) into 1 9.133 * [backup-simplify]: Simplify (sqrt 0) into 0 9.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.134 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.134 * [taylor]: Taking taylor expansion of N in N 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify 1 into 1 9.134 * [taylor]: Taking taylor expansion of 1.0 in N 9.134 * [backup-simplify]: Simplify 1.0 into 1.0 9.135 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.135 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify (+ 1 0) into 1 9.137 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 9.137 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.138 * [backup-simplify]: Simplify (+ 0 0) into 0 9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.141 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 9.143 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.144 * [backup-simplify]: Simplify (+ 0 0) into 0 9.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 9.149 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.150 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 9.150 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1.0)) 9.150 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 9.150 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.150 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.150 * [taylor]: Taking taylor expansion of N in N 9.150 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify 1 into 1 9.150 * [backup-simplify]: Simplify (sqrt 0) into 0 9.151 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.151 * [taylor]: Taking taylor expansion of N in N 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.152 * [backup-simplify]: Simplify (/ 1 1) into 1 9.152 * [taylor]: Taking taylor expansion of 1.0 in N 9.152 * [backup-simplify]: Simplify 1.0 into 1.0 9.152 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.152 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.152 * [taylor]: Taking taylor expansion of N in N 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 1 into 1 9.152 * [backup-simplify]: Simplify (sqrt 0) into 0 9.153 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.153 * [taylor]: Taking taylor expansion of N in N 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.153 * [backup-simplify]: Simplify (/ 1 1) into 1 9.153 * [taylor]: Taking taylor expansion of 1.0 in N 9.153 * [backup-simplify]: Simplify 1.0 into 1.0 9.153 * [backup-simplify]: Simplify (+ 1 0) into 1 9.154 * [backup-simplify]: Simplify (* 0 1) into 0 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.155 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 9.155 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.156 * [backup-simplify]: Simplify (+ 0 0) into 0 9.158 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 9.160 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.161 * [backup-simplify]: Simplify (+ 0 0) into 0 9.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 9.166 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.167 * [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))))) 9.167 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 9.167 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 9.167 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.167 * [taylor]: Taking taylor expansion of 1.0 in N 9.167 * [backup-simplify]: Simplify 1.0 into 1.0 9.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.167 * [taylor]: Taking taylor expansion of N in N 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [backup-simplify]: Simplify (/ 1 1) into 1 9.167 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.167 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.167 * [taylor]: Taking taylor expansion of -1 in N 9.167 * [backup-simplify]: Simplify -1 into -1 9.167 * [taylor]: Taking taylor expansion of N in N 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.168 * [backup-simplify]: Simplify (/ -1 1) into -1 9.168 * [backup-simplify]: Simplify (sqrt 0) into 0 9.169 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.169 * [backup-simplify]: Simplify (- 1) into -1 9.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.169 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.169 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.170 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.170 * [taylor]: Taking taylor expansion of 1.0 in N 9.170 * [backup-simplify]: Simplify 1.0 into 1.0 9.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.170 * [taylor]: Taking taylor expansion of N in N 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 1 into 1 9.170 * [backup-simplify]: Simplify (/ 1 1) into 1 9.170 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.170 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.170 * [taylor]: Taking taylor expansion of -1 in N 9.170 * [backup-simplify]: Simplify -1 into -1 9.170 * [taylor]: Taking taylor expansion of N in N 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 1 into 1 9.171 * [backup-simplify]: Simplify (/ -1 1) into -1 9.171 * [backup-simplify]: Simplify (sqrt 0) into 0 9.172 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.173 * [backup-simplify]: Simplify (- 1) into -1 9.173 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.174 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (- 0) into 0 9.175 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.179 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.181 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.182 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.183 * [backup-simplify]: Simplify (- 0) into 0 9.184 * [backup-simplify]: Simplify (+ 0 0) into 0 9.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.193 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.194 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 9.194 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 9.194 * [backup-simplify]: Simplify (log (sqrt N)) into (log (sqrt N)) 9.194 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0 9.194 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.194 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.194 * [taylor]: Taking taylor expansion of N in N 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (sqrt 0) into 0 9.195 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.196 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.196 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.196 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.196 * [taylor]: Taking taylor expansion of N in N 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify 1 into 1 9.196 * [backup-simplify]: Simplify (sqrt 0) into 0 9.197 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.197 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.197 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.198 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.199 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.213 * [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 9.213 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.214 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.214 * [backup-simplify]: Simplify (log (sqrt (/ 1 N))) into (log (sqrt (/ 1 N))) 9.214 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0 9.214 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.214 * [taylor]: Taking taylor expansion of N in N 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 1 into 1 9.214 * [backup-simplify]: Simplify (/ 1 1) into 1 9.215 * [backup-simplify]: Simplify (sqrt 0) into 0 9.215 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.216 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.216 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.216 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.216 * [taylor]: Taking taylor expansion of N in N 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 1 into 1 9.216 * [backup-simplify]: Simplify (/ 1 1) into 1 9.216 * [backup-simplify]: Simplify (sqrt 0) into 0 9.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.217 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.217 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.220 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.224 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.245 * [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 9.245 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.245 * [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))))) 9.246 * [backup-simplify]: Simplify (log (sqrt (/ 1 (- N)))) into (log (sqrt (/ -1 N))) 9.246 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 N))) in (N) around 0 9.246 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.246 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.246 * [taylor]: Taking taylor expansion of -1 in N 9.246 * [backup-simplify]: Simplify -1 into -1 9.246 * [taylor]: Taking taylor expansion of N in N 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 1 into 1 9.246 * [backup-simplify]: Simplify (/ -1 1) into -1 9.247 * [backup-simplify]: Simplify (sqrt 0) into 0 9.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.248 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.248 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.248 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.249 * [taylor]: Taking taylor expansion of -1 in N 9.249 * [backup-simplify]: Simplify -1 into -1 9.249 * [taylor]: Taking taylor expansion of N in N 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.249 * [backup-simplify]: Simplify (/ -1 1) into -1 9.249 * [backup-simplify]: Simplify (sqrt 0) into 0 9.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.250 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.251 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.253 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.256 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.267 * [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 9.267 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.268 * [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))))) 9.268 * * * [progress]: simplifying candidates 9.270 * [simplify]: Simplifying: (* (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N))) (* (exp (- (log (sqrt N)))) (/ (+ N 1.0) (sqrt N))) (log (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (exp (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (* (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ N 1.0) (sqrt N))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (* (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (sqrt (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log 1)) (+ (- (log (sqrt N))) (log (+ N 1.0))) (+ (- (log (cbrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (cbrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (+ N 1.0))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ N 1.0)) (- (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt 1)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt 1)) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) 1) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* (sqrt N) (- N 1.0)) (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (sqrt (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log (sqrt 1)) (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log 1) (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (exp (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (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))))) 9.271 * * [simplify]: iteration 0: 199 enodes 9.350 * * [simplify]: iteration 1: 463 enodes 9.508 * * [simplify]: iteration 2: 1294 enodes 9.975 * * [simplify]: iteration complete: 5000 enodes 9.975 * * [simplify]: Extracting #0: cost 91 inf + 0 9.978 * * [simplify]: Extracting #1: cost 790 inf + 2 9.986 * * [simplify]: Extracting #2: cost 1764 inf + 1812 9.996 * * [simplify]: Extracting #3: cost 1904 inf + 37003 10.043 * * [simplify]: Extracting #4: cost 834 inf + 337691 10.169 * * [simplify]: Extracting #5: cost 91 inf + 624605 10.342 * * [simplify]: Extracting #6: cost 5 inf + 656274 10.478 * * [simplify]: Extracting #7: cost 0 inf + 656871 10.607 * [simplify]: Simplified to: (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (* (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (* (* (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (+ (* (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (* (* (log (sqrt N)) (log (sqrt N))) (- (log (sqrt N))))) (+ (+ (* (log (sqrt N)) (log (sqrt N))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (- (* (log (sqrt N)) (log (sqrt N))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- 0 (log (+ N 1.0))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt N))) (- (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt N))) (- (+ (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt N))) (- (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (- (log (sqrt N))) (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N))))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N))))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ 1.0 N)) (- (sqrt N)) (* (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (/ (+ N 1.0) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (+ (* 1.0 (- 1.0 N)) (* N N))) (* (- N 1.0) (sqrt N)) (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (fabs (cbrt N))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (sqrt N) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (log (- +nan.0)) (+ (+ (log +nan.0) (log N)) (* +nan.0 (- N (* N N))))) (- (log (- +nan.0)) (+ (- (log +nan.0) (/ +nan.0 N)) (/ +nan.0 (* N N)))) (- (/ (- +nan.0) (* N N)) (- (log (/ -1 N)) (/ +nan.0 N))) (- (+ +nan.0 (* +nan.0 (- N (* N N))))) (+ (+ (/ +nan.0 N) (/ (- +nan.0) (* N N))) (- +nan.0)) (- (+ (- (/ +nan.0 N) (* +nan.0 N)) +nan.0)) (+ (log N) (- (log +nan.0) (* +nan.0 (- N (* N N))))) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) 10.615 * * * [progress]: adding candidates to table 11.140 * [progress]: [Phase 3 of 3] Extracting. 11.140 * * [regime]: Finding splitpoints for: (# # # #) 11.141 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.141 * * * * [regimes]: Trying to branch on N from (# # # #) 11.188 * * * [regime]: Found split indices: #