20.963 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.094 * * * [progress]: [2/2] Setting up program. 0.099 * [progress]: [Phase 2 of 3] Improving. 0.099 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.100 * * [simplify]: iteration 0: 6 enodes 0.101 * * [simplify]: iteration 1: 9 enodes 0.102 * * [simplify]: iteration 2: 10 enodes 0.104 * * [simplify]: iteration complete: 10 enodes 0.104 * * [simplify]: Extracting #0: cost 1 inf + 0 0.104 * * [simplify]: Extracting #1: cost 4 inf + 0 0.104 * * [simplify]: Extracting #2: cost 6 inf + 0 0.104 * * [simplify]: Extracting #3: cost 6 inf + 1 0.104 * * [simplify]: Extracting #4: cost 0 inf + 560 0.104 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.105 * * [progress]: iteration 1 / 4 0.105 * * * [progress]: picking best candidate 0.108 * * * * [pick]: Picked # 0.108 * * * [progress]: localizing error 0.119 * * * [progress]: generating rewritten candidates 0.119 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.123 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.141 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.141 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.141 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.141 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [taylor]: Taking taylor expansion of 1.0 in N 0.141 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.142 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.142 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.142 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of 1.0 in N 0.142 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.143 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.143 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [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)) 0.153 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.155 * [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)))) 0.155 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.155 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.155 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of 1.0 in N 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (log 1) into 0 0.156 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of 1.0 in N 0.156 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (log 1) into 0 0.157 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.157 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [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 0.187 * [backup-simplify]: Simplify -0.5 into -0.5 0.187 * [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)))) 0.188 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.188 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (- 1) into -1 0.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.191 * [backup-simplify]: Simplify (log -1) into (log -1) 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 0.191 * [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 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.194 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [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 0.217 * [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 0.217 * [backup-simplify]: Simplify -0.5 into -0.5 0.218 * [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)))) 0.219 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.219 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.219 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.219 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.219 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [backup-simplify]: Simplify 1.0 into 1.0 0.219 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.220 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.220 * [taylor]: Taking taylor expansion of (log N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (log 1) into 0 0.220 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.220 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.220 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of 1.0 in N 0.221 * [backup-simplify]: Simplify 1.0 into 1.0 0.221 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.221 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.221 * [taylor]: Taking taylor expansion of (log N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (log 1) into 0 0.222 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.222 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.223 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.223 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.233 * [backup-simplify]: Simplify 1.0 into 1.0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [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)) 0.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.247 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.249 * [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))) 0.249 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.249 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.249 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.249 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of 1.0 in N 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (log 1) into 0 0.250 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify (log 1) into 0 0.250 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.250 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of 1.0 in N 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.251 * [backup-simplify]: Simplify (log 1) into 0 0.251 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (log 1) into 0 0.252 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.252 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.252 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.252 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [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 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.268 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [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 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [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 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.289 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.290 * [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)))) 0.290 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.290 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.290 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.290 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.290 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify (- 1) into -1 0.292 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.292 * [backup-simplify]: Simplify (log -1) into (log -1) 0.292 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.292 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.292 * [taylor]: Taking taylor expansion of -1 in N 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [taylor]: Taking taylor expansion of N in N 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ -1 1) into -1 0.293 * [backup-simplify]: Simplify (log -1) into (log -1) 0.293 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.293 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.293 * [taylor]: Taking taylor expansion of 1.0 in N 0.293 * [backup-simplify]: Simplify 1.0 into 1.0 0.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (- 1) into -1 0.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.295 * [backup-simplify]: Simplify (log -1) into (log -1) 0.295 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.295 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.295 * [taylor]: Taking taylor expansion of -1 in N 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [taylor]: Taking taylor expansion of N in N 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ -1 1) into -1 0.296 * [backup-simplify]: Simplify (log -1) into (log -1) 0.297 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.298 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.298 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.299 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.318 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [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 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.340 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [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 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [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 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.369 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.370 * [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)))) 0.371 * * * [progress]: simplifying candidates 0.373 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 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)))) 0.375 * * [simplify]: iteration 0: 127 enodes 0.433 * * [simplify]: iteration 1: 286 enodes 0.573 * * [simplify]: iteration 2: 709 enodes 1.055 * * [simplify]: iteration 3: 2048 enodes 2.590 * * [simplify]: iteration complete: 5000 enodes 2.590 * * [simplify]: Extracting #0: cost 43 inf + 0 2.591 * * [simplify]: Extracting #1: cost 399 inf + 1 2.597 * * [simplify]: Extracting #2: cost 1010 inf + 2642 2.629 * * [simplify]: Extracting #3: cost 884 inf + 59695 2.673 * * [simplify]: Extracting #4: cost 394 inf + 170968 2.736 * * [simplify]: Extracting #5: cost 91 inf + 272370 2.791 * * [simplify]: Extracting #6: cost 22 inf + 301128 2.887 * * [simplify]: Extracting #7: cost 4 inf + 303994 2.983 * * [simplify]: Extracting #8: cost 0 inf + 305006 3.061 * [simplify]: Simplified to: (expm1 (log (+ 1.0 N))) (log1p (log (+ 1.0 N))) (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 (fma N (* N N) (* (* 1.0 1.0) 1.0))) (log (fma 1.0 (- 1.0 N) (* N N))) (log (* (+ 1.0 N) (- N 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))) (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (expm1 (- (log (+ 1.0 N)) (log N))) (log1p (- (log (+ 1.0 N)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log 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))) (fma (+ (log (+ 1.0 N)) (log N)) (log N) (* (log (+ 1.0 N)) (log (+ 1.0 N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log 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)) (fma -2 (log (cbrt N)) (log (+ 1.0 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 (fma 1.0 (- 1.0 N) (* N N)))) (+ (log N) (log (- N 1.0))) (- (log N)) (fma 1.0 N (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (- (fma 1.0 N (log 1.0)) (log N))) (fma (/ 1 N) 1.0 (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (fma (/ 1 N) 1.0 (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) 3.069 * * * [progress]: adding candidates to table 3.409 * * [progress]: iteration 2 / 4 3.409 * * * [progress]: picking best candidate 3.418 * * * * [pick]: Picked # 3.418 * * * [progress]: localizing error 3.438 * * * [progress]: generating rewritten candidates 3.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3) 3.462 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 2 2) 3.472 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 1 2) 3.481 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 1) 3.557 * * * [progress]: generating series expansions 3.557 * * * * [progress]: [ 1 / 4 ] generating series at (2 3) 3.557 * [backup-simplify]: Simplify (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 3.558 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.558 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.558 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.558 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.558 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.558 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.558 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.558 * [taylor]: Taking taylor expansion of N in N 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (* 1 1) into 1 3.560 * [backup-simplify]: Simplify (* 1 1) into 1 3.560 * [backup-simplify]: Simplify (/ 1 1) into 1 3.560 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.560 * [taylor]: Taking taylor expansion of 0.5 in N 3.560 * [backup-simplify]: Simplify 0.5 into 0.5 3.560 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.560 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.560 * [taylor]: Taking taylor expansion of N in N 3.560 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify (* 1 1) into 1 3.561 * [backup-simplify]: Simplify (/ 1 1) into 1 3.561 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.561 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.561 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.561 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.561 * [taylor]: Taking taylor expansion of N in N 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify 1 into 1 3.562 * [backup-simplify]: Simplify (* 1 1) into 1 3.562 * [backup-simplify]: Simplify (* 1 1) into 1 3.562 * [backup-simplify]: Simplify (/ 1 1) into 1 3.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.562 * [taylor]: Taking taylor expansion of 0.5 in N 3.562 * [backup-simplify]: Simplify 0.5 into 0.5 3.562 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.562 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.562 * [taylor]: Taking taylor expansion of N in N 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 1 into 1 3.562 * [backup-simplify]: Simplify (* 1 1) into 1 3.563 * [backup-simplify]: Simplify (/ 1 1) into 1 3.563 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.563 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.563 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.566 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.567 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.567 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.568 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.571 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.572 * [backup-simplify]: Simplify (- 0) into 0 3.572 * [backup-simplify]: Simplify (+ 0 0) into 0 3.572 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.576 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.576 * [backup-simplify]: Simplify (- 0) into 0 3.577 * [backup-simplify]: Simplify (+ 0 0) into 0 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (- 0) into 0 3.581 * [backup-simplify]: Simplify (+ 0 0) into 0 3.581 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.586 * [backup-simplify]: Simplify (- 0) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.597 * [backup-simplify]: Simplify (- 0) into 0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.603 * [backup-simplify]: Simplify (- 0) into 0 3.604 * [backup-simplify]: Simplify (+ 0 0) into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [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)))) 3.604 * [backup-simplify]: Simplify (- (* (/ 0.3333333333333333 (/ 1 N)) (/ (/ 1 (/ 1 N)) (/ 1 N))) (* 0.5 (/ (/ 1 (/ 1 N)) (/ 1 N)))) into (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 3.605 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 3.605 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.605 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.605 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.605 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.605 * [taylor]: Taking taylor expansion of N in N 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.605 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.605 * [taylor]: Taking taylor expansion of 0.5 in N 3.605 * [backup-simplify]: Simplify 0.5 into 0.5 3.605 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.605 * [taylor]: Taking taylor expansion of N in N 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.605 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.605 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.605 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.605 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.605 * [taylor]: Taking taylor expansion of N in N 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.605 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.605 * [taylor]: Taking taylor expansion of 0.5 in N 3.605 * [backup-simplify]: Simplify 0.5 into 0.5 3.605 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.605 * [taylor]: Taking taylor expansion of N in N 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.605 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.606 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.606 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.607 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.607 * [backup-simplify]: Simplify (* 1 1) into 1 3.607 * [backup-simplify]: Simplify (* 1 1) into 1 3.607 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.608 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.608 * [backup-simplify]: Simplify (- 0) into 0 3.609 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.609 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.610 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.611 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.611 * [backup-simplify]: Simplify (- 0) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- 0) into 0 3.616 * [backup-simplify]: Simplify (+ 0 0) into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.621 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.622 * [backup-simplify]: Simplify (- 0) into 0 3.622 * [backup-simplify]: Simplify (+ 0 0) into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.624 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.625 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.626 * [backup-simplify]: Simplify (- 0) into 0 3.626 * [backup-simplify]: Simplify (+ 0 0) into 0 3.626 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.628 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.630 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.630 * [backup-simplify]: Simplify (- 0) into 0 3.630 * [backup-simplify]: Simplify (+ 0 0) into 0 3.630 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.633 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.635 * [backup-simplify]: Simplify (- 0) into 0 3.635 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.636 * [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)))) 3.636 * [backup-simplify]: Simplify (- (* (/ 0.3333333333333333 (/ 1 (- N))) (/ (/ 1 (/ 1 (- N))) (/ 1 (- N)))) (* 0.5 (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) 3.636 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 3.636 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.636 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.636 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.636 * [taylor]: Taking taylor expansion of 0.5 in N 3.636 * [backup-simplify]: Simplify 0.5 into 0.5 3.636 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.636 * [taylor]: Taking taylor expansion of N in N 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.636 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.636 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.636 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.636 * [taylor]: Taking taylor expansion of N in N 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.637 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.637 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.637 * [taylor]: Taking taylor expansion of 0.5 in N 3.637 * [backup-simplify]: Simplify 0.5 into 0.5 3.637 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.637 * [taylor]: Taking taylor expansion of N in N 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.637 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.637 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.637 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.637 * [taylor]: Taking taylor expansion of N in N 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (* 1 1) into 1 3.637 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.638 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.638 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.638 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.639 * [backup-simplify]: Simplify (* 1 1) into 1 3.639 * [backup-simplify]: Simplify (* 1 1) into 1 3.640 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.640 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.640 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.640 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.641 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.643 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.643 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (- 0) into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.644 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.646 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.646 * [backup-simplify]: Simplify (- 0) into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.648 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.651 * [backup-simplify]: Simplify (- 0) into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.654 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.657 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.658 * [backup-simplify]: Simplify (+ 0 0) into 0 3.658 * [backup-simplify]: Simplify (- 0) into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.661 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.666 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.666 * [backup-simplify]: Simplify (+ 0 0) into 0 3.666 * [backup-simplify]: Simplify (- 0) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.670 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.675 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (- 0) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [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)))) 3.677 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 2 2) 3.677 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 3.677 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 3.677 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.677 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.677 * [taylor]: Taking taylor expansion of N in N 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (* 1 1) into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.678 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.678 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.678 * [taylor]: Taking taylor expansion of N in N 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (* 1 1) into 1 3.679 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.687 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.693 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 3.693 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.693 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.694 * [taylor]: Taking taylor expansion of N in N 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.694 * [taylor]: Taking taylor expansion of N in N 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (* 1 1) into 1 3.694 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.698 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.701 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 3.701 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.701 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.701 * [taylor]: Taking taylor expansion of N in N 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.701 * [taylor]: Taking taylor expansion of N in N 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (* 1 1) into 1 3.702 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.702 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.703 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 3.713 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 1 2) 3.714 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 3.714 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 3.714 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.714 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.714 * [taylor]: Taking taylor expansion of N in N 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.714 * [backup-simplify]: Simplify (* 1 1) into 1 3.714 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.714 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.714 * [taylor]: Taking taylor expansion of N in N 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify (* 1 1) into 1 3.715 * [backup-simplify]: Simplify (/ 1 1) into 1 3.715 * [backup-simplify]: Simplify 1 into 1 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.723 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 3.723 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.723 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.723 * [taylor]: Taking taylor expansion of N in N 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.723 * [taylor]: Taking taylor expansion of N in N 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (* 1 1) into 1 3.723 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.724 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.727 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 3.727 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.727 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.728 * [taylor]: Taking taylor expansion of N in N 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.728 * [taylor]: Taking taylor expansion of N in N 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (* 1 1) into 1 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.728 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.730 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 3.732 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 1) 3.732 * [backup-simplify]: Simplify (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) into (/ 0.3333333333333333 (pow N 3)) 3.732 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.732 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.732 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.732 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.732 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.732 * [taylor]: Taking taylor expansion of N in N 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.733 * [backup-simplify]: Simplify (* 1 1) into 1 3.733 * [backup-simplify]: Simplify (* 1 1) into 1 3.733 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.733 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.733 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.733 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.733 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.733 * [taylor]: Taking taylor expansion of N in N 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (* 1 1) into 1 3.734 * [backup-simplify]: Simplify (* 1 1) into 1 3.734 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.734 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.743 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.745 * [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 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.745 * [backup-simplify]: Simplify (* (/ 0.3333333333333333 (/ 1 N)) (/ (/ 1 (/ 1 N)) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 3.745 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.745 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.746 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.746 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.746 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.746 * [taylor]: Taking taylor expansion of N in N 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.746 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.746 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.746 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.746 * [taylor]: Taking taylor expansion of N in N 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [backup-simplify]: Simplify (* 1 1) into 1 3.746 * [backup-simplify]: Simplify (* 1 1) into 1 3.746 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.747 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.748 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.750 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.753 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.753 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.757 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.761 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.765 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.765 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.766 * [backup-simplify]: Simplify (* (/ 0.3333333333333333 (/ 1 (- N))) (/ (/ 1 (/ 1 (- N))) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 3.766 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.766 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.766 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.766 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.766 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.766 * [taylor]: Taking taylor expansion of N in N 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.766 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.766 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.766 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.766 * [taylor]: Taking taylor expansion of N in N 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (* 1 1) into 1 3.767 * [backup-simplify]: Simplify (* 1 1) into 1 3.768 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.768 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.770 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.770 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.773 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.773 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.776 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.778 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.778 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.781 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.783 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.783 * * * [progress]: simplifying candidates 3.787 * [simplify]: Simplifying: (fma (/ 0.3333333333333333 N) (/ (/ 1 N) N) (- (* (/ (/ 1 N) N) 0.5))) (fma (- (/ (/ 1 N) N)) 0.5 (* (/ (/ 1 N) N) 0.5)) (expm1 (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (log1p (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (- (* 0.5 (/ (/ 1 N) N))) (/ (exp (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (exp (* 0.5 (/ (/ 1 N) N)))) (log (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (* (cbrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (cbrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))) (cbrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (* (* (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))) (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (sqrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (sqrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (- (* (/ 0.3333333333333333 N) (/ 1 N)) (* 0.5 (/ 1 N))) (- (* 0.3333333333333333 (/ (/ 1 N) N)) (* 0.5 (/ 1 N))) (- (* (* 0.3333333333333333 (/ 1 N)) N) (* (* N N) (* 0.5 (/ 1 N)))) (* (* N N) N) (- (* (* (/ 0.3333333333333333 N) (/ 1 N)) N) (* N (* 0.5 (/ 1 N)))) (* N N) (- (* (* 0.3333333333333333 (/ (/ 1 N) N)) N) (* N (* 0.5 (/ 1 N)))) (* N N) (- (pow (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) 3) (pow (* 0.5 (/ (/ 1 N) N)) 3)) (+ (* (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (+ (* (* 0.5 (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))) (* (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))) (- (* 0.5 (/ (/ 1 N) N))) (- (* (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N))) (* (* 0.5 (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (+ (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))) (- (/ 0.3333333333333333 N) 0.5) (- (* 0.5 (/ (/ 1 N) N))) (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) 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0.3333333333333333 N) (/ (/ 1 1) (sqrt N))) (* (/ 0.3333333333333333 N) (/ (/ 1 1) 1)) (* (/ 0.3333333333333333 N) (/ 1 (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ 1 (sqrt N))) (* (/ 0.3333333333333333 N) (/ 1 1)) (* (/ 0.3333333333333333 N) (/ 1 (* (cbrt N) (cbrt N)))) (* (/ 0.3333333333333333 N) (/ 1 (sqrt N))) (* (/ 0.3333333333333333 N) (/ 1 1)) (* (/ 0.3333333333333333 N) 1) (* (/ 0.3333333333333333 N) (/ 1 N)) (* (cbrt (/ 0.3333333333333333 N)) (/ (/ 1 N) N)) (* (sqrt (/ 0.3333333333333333 N)) (/ (/ 1 N) N)) (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (/ 1 N) N)) (* (/ (cbrt 0.3333333333333333) (sqrt N)) (/ (/ 1 N) N)) (* (/ (cbrt 0.3333333333333333) N) (/ (/ 1 N) N)) (* (/ (sqrt 0.3333333333333333) (cbrt N)) (/ (/ 1 N) N)) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (/ 1 N) N)) (* (/ (sqrt 0.3333333333333333) N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 (cbrt N)) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 (sqrt N)) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (/ 1 N) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ 1 N)) (* 0.3333333333333333 (/ (/ 1 N) 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)))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 3.791 * * [simplify]: iteration 0: 300 enodes 3.952 * * [simplify]: iteration 1: 894 enodes 4.442 * * [simplify]: iteration 2: 3117 enodes 5.350 * * [simplify]: iteration complete: 5041 enodes 5.351 * * [simplify]: Extracting #0: cost 109 inf + 0 5.356 * * [simplify]: Extracting #1: cost 1135 inf + 2 5.368 * * [simplify]: Extracting #2: cost 1828 inf + 7307 5.406 * * [simplify]: Extracting #3: cost 1126 inf + 115284 5.507 * * [simplify]: Extracting #4: cost 286 inf + 281795 5.631 * * [simplify]: Extracting #5: cost 9 inf + 353605 5.734 * * [simplify]: Extracting #6: cost 0 inf + 356410 5.846 * [simplify]: Simplified to: (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (* (/ 1 (* N N)) (+ (- 0.5) 0.5)) (expm1 (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (log1p (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (/ (- 0.5) (* N N)) (exp (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (log (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (exp (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (* (cbrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (cbrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)))) (cbrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (* (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (* (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)))) (sqrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (sqrt (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N))) (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N)) (- (* (/ 1 (* N N)) 0.3333333333333333) (/ 0.5 N)) (* N (- (/ 0.3333333333333333 N) (* N (/ 0.5 N)))) (* N (* N N)) (* N (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N))) (* N N) (* N (- (* (/ 1 (* N N)) 0.3333333333333333) (/ 0.5 N))) (* N N) (- (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (/ (/ 0.5 N) N) (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)))) (fma (/ 0.3333333333333333 N) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 0.3333333333333333 N)) (* (* (* (/ 1 (* N N)) (/ 1 (* N N))) 0.5) (+ (/ 0.3333333333333333 N) 0.5))) (/ (- 0.5) (* N N)) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5) (/ (- 0.5) (* N N)) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -2 (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (exp (/ 1 (* N N))) (/ 1 (* (* N (* N N)) (* N (* N N)))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (/ -1 N) (- N) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (/ (sqrt N) (cbrt (/ 1 N)))) (/ (cbrt (/ 1 N)) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 1 N)) (/ (sqrt (/ 1 N)) N) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 N) (* N N) (/ (/ (/ 1 N) (cbrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N N) (* N N) (* N N) (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -2 (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (exp (/ 1 (* N N))) (/ 1 (* (* N (* N N)) (* N (* N N)))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (/ -1 N) (- N) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (/ (sqrt N) (cbrt (/ 1 N)))) (/ (cbrt (/ 1 N)) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 1 N)) (/ (sqrt (/ 1 N)) N) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 N) (* N N) (/ (/ (/ 1 N) (cbrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) N) (/ 1 N) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N N) (* N N) (* N N) (expm1 (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log1p (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (log (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (exp (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* N (* N N))) (* N (* N N))) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* N (* N N))) (* N (* N N))) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (cbrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (cbrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N))) (cbrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (* (* (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (sqrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (sqrt (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N)) (/ 0.3333333333333333 N) (* N N) (* (sqrt (/ 1 (* N N))) (sqrt (/ 0.3333333333333333 N))) (* (sqrt (/ 1 (* N N))) (sqrt (/ 0.3333333333333333 N))) (* (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 0.3333333333333333 N))) (* (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 0.3333333333333333 N))) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt (/ 1 (* N N)))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt (/ 1 (* N N)))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N))) (* (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (* (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (/ 0.3333333333333333 N)) (* (/ 0.3333333333333333 N) (sqrt (/ 1 (* N N)))) (/ (* 0.3333333333333333 (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N)))) N) (* (/ (/ 0.3333333333333333 N) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (* (* (/ 0.3333333333333333 N) (cbrt (/ 1 N))) (cbrt (/ 1 N))) (* (/ (/ 0.3333333333333333 N) (cbrt N)) (/ (sqrt (/ 1 N)) (cbrt N))) (/ (* (sqrt (/ 1 N)) (/ 0.3333333333333333 N)) (sqrt N)) (* (/ 0.3333333333333333 N) (sqrt (/ 1 N))) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ (/ 0.3333333333333333 N) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ (/ 0.3333333333333333 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 N) (sqrt N)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 N) (/ (/ 0.3333333333333333 N) N) (* (cbrt (/ 0.3333333333333333 N)) (/ 1 (* N N))) (/ (/ (sqrt (/ 0.3333333333333333 N)) N) N) (/ (* (/ 1 (* N N)) (cbrt 0.3333333333333333)) (cbrt N)) (/ (* (/ 1 (* N N)) (cbrt 0.3333333333333333)) (sqrt N)) (/ (* (/ (cbrt 0.3333333333333333) N) 1) (* N N)) (* (/ (sqrt 0.3333333333333333) (cbrt N)) (/ 1 (* N N))) (/ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) N) (/ (* 1 (/ (sqrt 0.3333333333333333) N)) (* N N)) (/ (/ 1 (* N N)) (/ (cbrt N) 0.3333333333333333)) (/ (* (/ 1 (* N N)) 0.3333333333333333) (sqrt N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (/ (/ 1 (* N N)) N) (/ (/ 0.3333333333333333 N) N) (* (/ 1 (* N N)) 0.3333333333333333) (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (/ (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) 5.883 * * * [progress]: adding candidates to table 7.301 * * [progress]: iteration 3 / 4 7.301 * * * [progress]: picking best candidate 7.307 * * * * [pick]: Picked # 7.307 * * * [progress]: localizing error 7.325 * * * [progress]: generating rewritten candidates 7.325 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 7.332 * * * [progress]: generating series expansions 7.332 * * * * [progress]: [ 1 / 1 ] generating series at (2) 7.333 * [backup-simplify]: Simplify (log (/ (+ 1.0 N) N)) into (log (/ (+ N 1.0) N)) 7.333 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 7.333 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.333 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.333 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.333 * [taylor]: Taking taylor expansion of N in N 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [taylor]: Taking taylor expansion of 1.0 in N 7.333 * [backup-simplify]: Simplify 1.0 into 1.0 7.333 * [taylor]: Taking taylor expansion of N in N 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.334 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.334 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.334 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.334 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.334 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.334 * [taylor]: Taking taylor expansion of N in N 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 1 into 1 7.334 * [taylor]: Taking taylor expansion of 1.0 in N 7.334 * [backup-simplify]: Simplify 1.0 into 1.0 7.334 * [taylor]: Taking taylor expansion of N in N 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 1 into 1 7.334 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.335 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.335 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.335 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.336 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 7.336 * [backup-simplify]: Simplify (+ 1 0) into 1 7.337 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.340 * [backup-simplify]: Simplify 1.0 into 1.0 7.340 * [backup-simplify]: Simplify (+ 0 0) into 0 7.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.346 * [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)) 7.347 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 7.348 * [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))) 7.348 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 7.348 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 7.348 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.348 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.348 * [taylor]: Taking taylor expansion of N in N 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 1 into 1 7.348 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.348 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.348 * [taylor]: Taking taylor expansion of N in N 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (/ 1 1) into 1 7.349 * [taylor]: Taking taylor expansion of 1.0 in N 7.349 * [backup-simplify]: Simplify 1.0 into 1.0 7.349 * [backup-simplify]: Simplify (+ 1 0) into 1 7.350 * [backup-simplify]: Simplify (* 0 1) into 0 7.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.351 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.352 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.352 * [backup-simplify]: Simplify (log 1) into 0 7.352 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.352 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.352 * [taylor]: Taking taylor expansion of N in N 7.352 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify 1 into 1 7.352 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.352 * [taylor]: Taking taylor expansion of N in N 7.352 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify 1 into 1 7.353 * [backup-simplify]: Simplify (/ 1 1) into 1 7.353 * [taylor]: Taking taylor expansion of 1.0 in N 7.353 * [backup-simplify]: Simplify 1.0 into 1.0 7.353 * [backup-simplify]: Simplify (+ 1 0) into 1 7.353 * [backup-simplify]: Simplify (* 0 1) into 0 7.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.355 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.355 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.356 * [backup-simplify]: Simplify (log 1) into 0 7.356 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.357 * [backup-simplify]: Simplify (+ 0 0) into 0 7.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.367 * [backup-simplify]: Simplify 1.0 into 1.0 7.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.369 * [backup-simplify]: Simplify (+ 0 0) into 0 7.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.382 * [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 7.382 * [backup-simplify]: Simplify -0.5 into -0.5 7.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.384 * [backup-simplify]: Simplify (+ 0 0) into 0 7.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.402 * [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 7.403 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.403 * [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)))) 7.403 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 7.404 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 7.404 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.404 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.404 * [taylor]: Taking taylor expansion of -1 in N 7.404 * [backup-simplify]: Simplify -1 into -1 7.404 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.404 * [taylor]: Taking taylor expansion of N in N 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 1 into 1 7.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.404 * [taylor]: Taking taylor expansion of 1.0 in N 7.404 * [backup-simplify]: Simplify 1.0 into 1.0 7.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.404 * [taylor]: Taking taylor expansion of N in N 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify (/ 1 1) into 1 7.405 * [backup-simplify]: Simplify (- 1) into -1 7.405 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.406 * [backup-simplify]: Simplify (* 0 -1) into 0 7.406 * [backup-simplify]: Simplify (* -1 0) into 0 7.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.408 * [backup-simplify]: Simplify (- 0) into 0 7.408 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.409 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.410 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.410 * [backup-simplify]: Simplify (log 1) into 0 7.410 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.410 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.410 * [taylor]: Taking taylor expansion of -1 in N 7.410 * [backup-simplify]: Simplify -1 into -1 7.410 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.410 * [taylor]: Taking taylor expansion of N in N 7.410 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify 1 into 1 7.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.410 * [taylor]: Taking taylor expansion of 1.0 in N 7.411 * [backup-simplify]: Simplify 1.0 into 1.0 7.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.411 * [taylor]: Taking taylor expansion of N in N 7.411 * [backup-simplify]: Simplify 0 into 0 7.411 * [backup-simplify]: Simplify 1 into 1 7.411 * [backup-simplify]: Simplify (/ 1 1) into 1 7.411 * [backup-simplify]: Simplify (- 1) into -1 7.412 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.412 * [backup-simplify]: Simplify (* 0 -1) into 0 7.413 * [backup-simplify]: Simplify (* -1 0) into 0 7.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.414 * [backup-simplify]: Simplify (- 0) into 0 7.415 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.415 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.416 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.416 * [backup-simplify]: Simplify (log 1) into 0 7.416 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.418 * [backup-simplify]: Simplify (- 0) into 0 7.418 * [backup-simplify]: Simplify (+ 0 0) into 0 7.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.423 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 7.431 * [backup-simplify]: Simplify -1.0 into -1.0 7.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.433 * [backup-simplify]: Simplify (- 0) into 0 7.433 * [backup-simplify]: Simplify (+ 0 0) into 0 7.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 7.449 * [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 7.449 * [backup-simplify]: Simplify -0.5 into -0.5 7.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.450 * [backup-simplify]: Simplify (- 0) into 0 7.456 * [backup-simplify]: Simplify (+ 0 0) into 0 7.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.459 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 7.479 * [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 7.479 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.480 * [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)))) 7.480 * * * [progress]: simplifying candidates 7.481 * [simplify]: Simplifying: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 1)) (log (/ (sqrt (+ 1.0 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log 1) (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (log (/ 1 N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (exp (log (/ (+ 1.0 N) N))) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) 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)))) 7.482 * * [simplify]: iteration 0: 86 enodes 7.504 * * [simplify]: iteration 1: 173 enodes 7.562 * * [simplify]: iteration 2: 376 enodes 7.729 * * [simplify]: iteration 3: 1118 enodes 8.482 * * [simplify]: iteration 4: 3729 enodes 9.610 * * [simplify]: iteration complete: 5000 enodes 9.610 * * [simplify]: Extracting #0: cost 33 inf + 0 9.611 * * [simplify]: Extracting #1: cost 464 inf + 1 9.616 * * [simplify]: Extracting #2: cost 1004 inf + 3744 9.632 * * [simplify]: Extracting #3: cost 849 inf + 41681 9.688 * * [simplify]: Extracting #4: cost 253 inf + 144234 9.782 * * [simplify]: Extracting #5: cost 38 inf + 207643 9.868 * * [simplify]: Extracting #6: cost 1 inf + 219762 9.941 * * [simplify]: Extracting #7: cost 0 inf + 220070 10.018 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (+ (log (cbrt (/ (+ N 1.0) N))) (log (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))) (- (fma -1/2 (* (/ N 1.0) (/ N 1.0)) (fma 1.0 N (log 1.0))) (log N)) (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 10.021 * * * [progress]: adding candidates to table 10.153 * * [progress]: iteration 4 / 4 10.153 * * * [progress]: picking best candidate 10.159 * * * * [pick]: Picked # 10.159 * * * [progress]: localizing error 10.197 * * * [progress]: generating rewritten candidates 10.197 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 10.252 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 10.283 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 10.297 * * * [progress]: generating series expansions 10.297 * * * * [progress]: [ 1 / 3 ] generating series at (2) 10.298 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) 10.298 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 10.298 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 10.298 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 10.298 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 10.298 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.298 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.298 * [taylor]: Taking taylor expansion of N in N 10.298 * [backup-simplify]: Simplify 0 into 0 10.298 * [backup-simplify]: Simplify 1 into 1 10.299 * [backup-simplify]: Simplify (/ 1 1) into 1 10.300 * [backup-simplify]: Simplify (sqrt 0) into 0 10.302 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.302 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.302 * [taylor]: Taking taylor expansion of N in N 10.302 * [backup-simplify]: Simplify 0 into 0 10.302 * [backup-simplify]: Simplify 1 into 1 10.302 * [taylor]: Taking taylor expansion of 1.0 in N 10.302 * [backup-simplify]: Simplify 1.0 into 1.0 10.303 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.303 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.303 * [backup-simplify]: Simplify (+ 1 0) into 1 10.305 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 10.306 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 10.306 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 10.306 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.306 * [taylor]: Taking taylor expansion of N in N 10.306 * [backup-simplify]: Simplify 0 into 0 10.306 * [backup-simplify]: Simplify 1 into 1 10.306 * [backup-simplify]: Simplify (sqrt 0) into 0 10.308 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.308 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.308 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 10.308 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 10.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 10.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.308 * [taylor]: Taking taylor expansion of N in N 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [backup-simplify]: Simplify 1 into 1 10.309 * [backup-simplify]: Simplify (/ 1 1) into 1 10.309 * [backup-simplify]: Simplify (sqrt 0) into 0 10.311 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.311 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.311 * [taylor]: Taking taylor expansion of N in N 10.311 * [backup-simplify]: Simplify 0 into 0 10.311 * [backup-simplify]: Simplify 1 into 1 10.311 * [taylor]: Taking taylor expansion of 1.0 in N 10.311 * [backup-simplify]: Simplify 1.0 into 1.0 10.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.312 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.312 * [backup-simplify]: Simplify (+ 1 0) into 1 10.314 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 10.315 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 10.315 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 10.315 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.315 * [taylor]: Taking taylor expansion of N in N 10.315 * [backup-simplify]: Simplify 0 into 0 10.315 * [backup-simplify]: Simplify 1 into 1 10.315 * [backup-simplify]: Simplify (sqrt 0) into 0 10.317 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.317 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.318 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 10.318 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 10.320 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 10.321 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 10.322 * [backup-simplify]: Simplify (+ 0 0) into 0 10.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.325 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 10.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 10.345 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.350 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.351 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 10.351 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.351 * [backup-simplify]: Simplify (+ 0 0) into 0 10.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 10.366 * [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 10.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.376 * [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 10.377 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.378 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 10.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.380 * [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))))) 10.381 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) 10.381 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 10.381 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 10.381 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 10.381 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 10.381 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.381 * [taylor]: Taking taylor expansion of N in N 10.381 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify 1 into 1 10.381 * [backup-simplify]: Simplify (sqrt 0) into 0 10.383 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.383 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.383 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.383 * [taylor]: Taking taylor expansion of N in N 10.383 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify 1 into 1 10.383 * [backup-simplify]: Simplify (/ 1 1) into 1 10.383 * [taylor]: Taking taylor expansion of 1.0 in N 10.383 * [backup-simplify]: Simplify 1.0 into 1.0 10.384 * [backup-simplify]: Simplify (+ 1 0) into 1 10.384 * [backup-simplify]: Simplify (* 0 1) into 0 10.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.385 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.387 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 10.388 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 10.388 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 10.388 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.388 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.388 * [taylor]: Taking taylor expansion of N in N 10.388 * [backup-simplify]: Simplify 0 into 0 10.388 * [backup-simplify]: Simplify 1 into 1 10.388 * [backup-simplify]: Simplify (/ 1 1) into 1 10.388 * [backup-simplify]: Simplify (sqrt 0) into 0 10.390 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.390 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.390 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 10.390 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 10.390 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 10.390 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.390 * [taylor]: Taking taylor expansion of N in N 10.390 * [backup-simplify]: Simplify 0 into 0 10.390 * [backup-simplify]: Simplify 1 into 1 10.391 * [backup-simplify]: Simplify (sqrt 0) into 0 10.392 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.392 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.392 * [taylor]: Taking taylor expansion of N in N 10.392 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify 1 into 1 10.392 * [backup-simplify]: Simplify (/ 1 1) into 1 10.392 * [taylor]: Taking taylor expansion of 1.0 in N 10.392 * [backup-simplify]: Simplify 1.0 into 1.0 10.393 * [backup-simplify]: Simplify (+ 1 0) into 1 10.393 * [backup-simplify]: Simplify (* 0 1) into 0 10.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.394 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.396 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 10.397 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 10.397 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 10.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.397 * [taylor]: Taking taylor expansion of N in N 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify 1 into 1 10.397 * [backup-simplify]: Simplify (/ 1 1) into 1 10.397 * [backup-simplify]: Simplify (sqrt 0) into 0 10.399 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.399 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.400 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 10.402 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0)) 10.404 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0)) 10.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.405 * [backup-simplify]: Simplify (+ 0 0) into 0 10.408 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 10.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 10.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.423 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.429 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.430 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 10.430 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.432 * [backup-simplify]: Simplify (+ 0 0) into 0 10.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 10.454 * [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 10.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.465 * [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 10.465 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.466 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 10.466 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.468 * [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))))) 10.468 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) 10.468 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 10.468 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 10.468 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 10.468 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 10.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.468 * [taylor]: Taking taylor expansion of 1.0 in N 10.468 * [backup-simplify]: Simplify 1.0 into 1.0 10.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.468 * [taylor]: Taking taylor expansion of N in N 10.468 * [backup-simplify]: Simplify 0 into 0 10.468 * [backup-simplify]: Simplify 1 into 1 10.468 * [backup-simplify]: Simplify (/ 1 1) into 1 10.468 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.468 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.468 * [taylor]: Taking taylor expansion of -1 in N 10.468 * [backup-simplify]: Simplify -1 into -1 10.468 * [taylor]: Taking taylor expansion of N in N 10.468 * [backup-simplify]: Simplify 0 into 0 10.468 * [backup-simplify]: Simplify 1 into 1 10.469 * [backup-simplify]: Simplify (/ -1 1) into -1 10.469 * [backup-simplify]: Simplify (sqrt 0) into 0 10.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.471 * [backup-simplify]: Simplify (- 1) into -1 10.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.472 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 10.472 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.472 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 10.472 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.472 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.472 * [taylor]: Taking taylor expansion of -1 in N 10.472 * [backup-simplify]: Simplify -1 into -1 10.472 * [taylor]: Taking taylor expansion of N in N 10.472 * [backup-simplify]: Simplify 0 into 0 10.472 * [backup-simplify]: Simplify 1 into 1 10.473 * [backup-simplify]: Simplify (/ -1 1) into -1 10.473 * [backup-simplify]: Simplify (sqrt 0) into 0 10.475 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.475 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.475 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 10.475 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 10.475 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 10.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.475 * [taylor]: Taking taylor expansion of 1.0 in N 10.475 * [backup-simplify]: Simplify 1.0 into 1.0 10.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.475 * [taylor]: Taking taylor expansion of N in N 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 1 into 1 10.476 * [backup-simplify]: Simplify (/ 1 1) into 1 10.476 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.476 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.476 * [taylor]: Taking taylor expansion of -1 in N 10.476 * [backup-simplify]: Simplify -1 into -1 10.476 * [taylor]: Taking taylor expansion of N in N 10.476 * [backup-simplify]: Simplify 0 into 0 10.476 * [backup-simplify]: Simplify 1 into 1 10.476 * [backup-simplify]: Simplify (/ -1 1) into -1 10.477 * [backup-simplify]: Simplify (sqrt 0) into 0 10.478 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.479 * [backup-simplify]: Simplify (- 1) into -1 10.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.479 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 10.480 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.480 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 10.480 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.480 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.480 * [taylor]: Taking taylor expansion of -1 in N 10.480 * [backup-simplify]: Simplify -1 into -1 10.480 * [taylor]: Taking taylor expansion of N in N 10.480 * [backup-simplify]: Simplify 0 into 0 10.480 * [backup-simplify]: Simplify 1 into 1 10.480 * [backup-simplify]: Simplify (/ -1 1) into -1 10.481 * [backup-simplify]: Simplify (sqrt 0) into 0 10.482 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.483 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.484 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 10.484 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 10.486 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N)) 10.486 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 10.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.487 * [backup-simplify]: Simplify (- 0) into 0 10.487 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.491 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.494 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 10.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.506 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.514 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.515 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 10.515 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.516 * [backup-simplify]: Simplify (- 0) into 0 10.517 * [backup-simplify]: Simplify (+ 0 0) into 0 10.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.526 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 10.543 * [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 10.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.554 * [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 10.555 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.555 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 10.555 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.556 * [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))))) 10.556 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 10.556 * [backup-simplify]: Simplify (/ (+ 1.0 N) (sqrt N)) into (* (sqrt (/ 1 N)) (+ N 1.0)) 10.556 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 10.556 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 10.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.556 * [taylor]: Taking taylor expansion of N in N 10.556 * [backup-simplify]: Simplify 0 into 0 10.556 * [backup-simplify]: Simplify 1 into 1 10.557 * [backup-simplify]: Simplify (/ 1 1) into 1 10.557 * [backup-simplify]: Simplify (sqrt 0) into 0 10.558 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.558 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.558 * [taylor]: Taking taylor expansion of N in N 10.558 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [taylor]: Taking taylor expansion of 1.0 in N 10.558 * [backup-simplify]: Simplify 1.0 into 1.0 10.558 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 10.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.558 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.558 * [taylor]: Taking taylor expansion of N in N 10.558 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [backup-simplify]: Simplify (/ 1 1) into 1 10.558 * [backup-simplify]: Simplify (sqrt 0) into 0 10.559 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.559 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.559 * [taylor]: Taking taylor expansion of N in N 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify 1 into 1 10.559 * [taylor]: Taking taylor expansion of 1.0 in N 10.559 * [backup-simplify]: Simplify 1.0 into 1.0 10.559 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.560 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.560 * [backup-simplify]: Simplify 0 into 0 10.560 * [backup-simplify]: Simplify (+ 1 0) into 1 10.561 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 10.561 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.561 * [backup-simplify]: Simplify (+ 0 0) into 0 10.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.568 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 10.570 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.571 * [backup-simplify]: Simplify (+ 0 0) into 0 10.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 10.576 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.577 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 10.577 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1.0)) 10.577 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 10.577 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 10.577 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.577 * [taylor]: Taking taylor expansion of N in N 10.577 * [backup-simplify]: Simplify 0 into 0 10.577 * [backup-simplify]: Simplify 1 into 1 10.577 * [backup-simplify]: Simplify (sqrt 0) into 0 10.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.578 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.578 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.578 * [taylor]: Taking taylor expansion of N in N 10.578 * [backup-simplify]: Simplify 0 into 0 10.578 * [backup-simplify]: Simplify 1 into 1 10.579 * [backup-simplify]: Simplify (/ 1 1) into 1 10.579 * [taylor]: Taking taylor expansion of 1.0 in N 10.579 * [backup-simplify]: Simplify 1.0 into 1.0 10.579 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 10.579 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.579 * [taylor]: Taking taylor expansion of N in N 10.579 * [backup-simplify]: Simplify 0 into 0 10.579 * [backup-simplify]: Simplify 1 into 1 10.579 * [backup-simplify]: Simplify (sqrt 0) into 0 10.580 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.580 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.580 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.580 * [taylor]: Taking taylor expansion of N in N 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 1 into 1 10.580 * [backup-simplify]: Simplify (/ 1 1) into 1 10.580 * [taylor]: Taking taylor expansion of 1.0 in N 10.580 * [backup-simplify]: Simplify 1.0 into 1.0 10.580 * [backup-simplify]: Simplify (+ 1 0) into 1 10.581 * [backup-simplify]: Simplify (* 0 1) into 0 10.581 * [backup-simplify]: Simplify 0 into 0 10.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.581 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.582 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 10.583 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.583 * [backup-simplify]: Simplify (+ 0 0) into 0 10.585 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 10.587 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.588 * [backup-simplify]: Simplify (+ 0 0) into 0 10.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 10.593 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.594 * [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))))) 10.594 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 10.594 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 10.594 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 10.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.594 * [taylor]: Taking taylor expansion of 1.0 in N 10.594 * [backup-simplify]: Simplify 1.0 into 1.0 10.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.594 * [taylor]: Taking taylor expansion of N in N 10.594 * [backup-simplify]: Simplify 0 into 0 10.594 * [backup-simplify]: Simplify 1 into 1 10.594 * [backup-simplify]: Simplify (/ 1 1) into 1 10.594 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.595 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.595 * [taylor]: Taking taylor expansion of -1 in N 10.595 * [backup-simplify]: Simplify -1 into -1 10.595 * [taylor]: Taking taylor expansion of N in N 10.595 * [backup-simplify]: Simplify 0 into 0 10.595 * [backup-simplify]: Simplify 1 into 1 10.595 * [backup-simplify]: Simplify (/ -1 1) into -1 10.595 * [backup-simplify]: Simplify (sqrt 0) into 0 10.596 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.596 * [backup-simplify]: Simplify (- 1) into -1 10.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.597 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 10.597 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 10.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.597 * [taylor]: Taking taylor expansion of 1.0 in N 10.597 * [backup-simplify]: Simplify 1.0 into 1.0 10.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.597 * [taylor]: Taking taylor expansion of N in N 10.597 * [backup-simplify]: Simplify 0 into 0 10.597 * [backup-simplify]: Simplify 1 into 1 10.597 * [backup-simplify]: Simplify (/ 1 1) into 1 10.597 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.597 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.597 * [taylor]: Taking taylor expansion of -1 in N 10.597 * [backup-simplify]: Simplify -1 into -1 10.597 * [taylor]: Taking taylor expansion of N in N 10.597 * [backup-simplify]: Simplify 0 into 0 10.597 * [backup-simplify]: Simplify 1 into 1 10.597 * [backup-simplify]: Simplify (/ -1 1) into -1 10.598 * [backup-simplify]: Simplify (sqrt 0) into 0 10.598 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.599 * [backup-simplify]: Simplify (- 1) into -1 10.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.599 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 10.599 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.600 * [backup-simplify]: Simplify (- 0) into 0 10.600 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.604 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.606 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 10.607 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.608 * [backup-simplify]: Simplify (- 0) into 0 10.608 * [backup-simplify]: Simplify (+ 0 0) into 0 10.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.617 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 10.618 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.619 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 10.619 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 10.619 * [backup-simplify]: Simplify (log (sqrt N)) into (log (sqrt N)) 10.619 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0 10.619 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 10.619 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.619 * [taylor]: Taking taylor expansion of N in N 10.619 * [backup-simplify]: Simplify 0 into 0 10.619 * [backup-simplify]: Simplify 1 into 1 10.620 * [backup-simplify]: Simplify (sqrt 0) into 0 10.621 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.622 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.622 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 10.622 * [taylor]: Taking taylor expansion of (sqrt N) in N 10.622 * [taylor]: Taking taylor expansion of N in N 10.622 * [backup-simplify]: Simplify 0 into 0 10.622 * [backup-simplify]: Simplify 1 into 1 10.622 * [backup-simplify]: Simplify (sqrt 0) into 0 10.623 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.624 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.625 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 10.625 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 10.628 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.635 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.652 * [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 10.652 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.653 * [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))))) 10.653 * [backup-simplify]: Simplify (log (sqrt (/ 1 N))) into (log (sqrt (/ 1 N))) 10.653 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0 10.653 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 10.653 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.653 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.653 * [taylor]: Taking taylor expansion of N in N 10.653 * [backup-simplify]: Simplify 0 into 0 10.653 * [backup-simplify]: Simplify 1 into 1 10.654 * [backup-simplify]: Simplify (/ 1 1) into 1 10.654 * [backup-simplify]: Simplify (sqrt 0) into 0 10.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.656 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.656 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 10.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 10.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.656 * [taylor]: Taking taylor expansion of N in N 10.656 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify 1 into 1 10.656 * [backup-simplify]: Simplify (/ 1 1) into 1 10.657 * [backup-simplify]: Simplify (sqrt 0) into 0 10.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.658 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.659 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.663 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.669 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.695 * [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 10.695 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.695 * [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))))) 10.696 * [backup-simplify]: Simplify (log (sqrt (/ 1 (- N)))) into (log (sqrt (/ -1 N))) 10.696 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 N))) in (N) around 0 10.696 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 10.696 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.696 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.696 * [taylor]: Taking taylor expansion of -1 in N 10.696 * [backup-simplify]: Simplify -1 into -1 10.696 * [taylor]: Taking taylor expansion of N in N 10.696 * [backup-simplify]: Simplify 0 into 0 10.696 * [backup-simplify]: Simplify 1 into 1 10.696 * [backup-simplify]: Simplify (/ -1 1) into -1 10.697 * [backup-simplify]: Simplify (sqrt 0) into 0 10.698 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.698 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.699 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 10.699 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 10.699 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.699 * [taylor]: Taking taylor expansion of -1 in N 10.699 * [backup-simplify]: Simplify -1 into -1 10.699 * [taylor]: Taking taylor expansion of N in N 10.699 * [backup-simplify]: Simplify 0 into 0 10.699 * [backup-simplify]: Simplify 1 into 1 10.699 * [backup-simplify]: Simplify (/ -1 1) into -1 10.700 * [backup-simplify]: Simplify (sqrt 0) into 0 10.701 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.701 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.702 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 10.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.705 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 10.712 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.732 * [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 10.732 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.732 * [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))))) 10.733 * * * [progress]: simplifying candidates 10.736 * [simplify]: Simplifying: (expm1 (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (log1p (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N))) (* (exp (- (log (sqrt N)))) (/ (+ 1.0 N) (sqrt N))) (log (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (exp (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (* (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ 1.0 N) (sqrt N))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (/ (+ 1.0 N) (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (* (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (/ (+ 1.0 N) (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (- (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (sqrt (/ (+ 1.0 N) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 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 (+ 1.0 N))) (+ (- (log (cbrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (cbrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (+ 1.0 N))) (- (log (sqrt N)) (log (/ (+ 1.0 N) (sqrt N)))) (expm1 (/ (+ 1.0 N) (sqrt N))) (log1p (/ (+ 1.0 N) (sqrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (exp (/ (+ 1.0 N) (sqrt N))) (/ (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))) (* (* (/ (+ 1.0 N) (sqrt N)) (/ (+ 1.0 N) (sqrt N))) (/ (+ 1.0 N) (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (- (+ 1.0 N)) (- (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ 1.0 N)) (cbrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ 1.0 N)) (sqrt (cbrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))) (/ (cbrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt 1)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))) (/ (cbrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ 1.0 N)) (cbrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ 1.0 N)) (sqrt (cbrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt 1)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) 1) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 1) (/ (+ 1.0 N) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 1) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt 1)) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ (+ 1.0 N) 1) (/ (sqrt N) (cbrt (+ 1.0 N))) (/ (sqrt N) (sqrt (+ 1.0 N))) (/ (sqrt N) (+ 1.0 N)) (/ (sqrt N) (+ 1.0 N)) (* (sqrt N) (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (* (sqrt N) (- 1.0 N)) (expm1 (log (sqrt N))) (log1p (log (sqrt N))) (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))))) 10.740 * * [simplify]: iteration 0: 205 enodes 10.799 * * [simplify]: iteration 1: 487 enodes 10.973 * * [simplify]: iteration 2: 1369 enodes 11.658 * * [simplify]: iteration complete: 5000 enodes 11.659 * * [simplify]: Extracting #0: cost 97 inf + 0 11.660 * * [simplify]: Extracting #1: cost 737 inf + 2 11.666 * * [simplify]: Extracting #2: cost 1550 inf + 6664 11.680 * * [simplify]: Extracting #3: cost 1470 inf + 71558 11.765 * * [simplify]: Extracting #4: cost 377 inf + 377554 11.932 * * [simplify]: Extracting #5: cost 13 inf + 512033 12.081 * * [simplify]: Extracting #6: cost 0 inf + 517236 12.209 * [simplify]: Simplified to: (expm1 (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (log1p (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (/ (+ 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)))) (fma (- (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))))) (fma (log (sqrt N)) (log (sqrt N)) (fma (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))))) (- 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)))) (log (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))) (log (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))) (log (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))) (- (fma 2 (log (cbrt (sqrt N))) (log (sqrt N)))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (fma 2 (log (cbrt (sqrt N))) (log (sqrt N)))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (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)))) (expm1 (/ (+ N 1.0) (sqrt N))) (log1p (/ (+ 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) (fma 1.0 1.0 (* N (- N 1.0)))) (* (sqrt N) (- 1.0 N)) (expm1 (log (sqrt N))) (log1p (log (sqrt N))) (log (* (cbrt (sqrt N)) (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))) (- (+ (fma +nan.0 (/ -1 N) (log (/ -1 N))) (/ +nan.0 (* N N)))) (- (fma +nan.0 (- N (* N N)) +nan.0)) (fma +nan.0 (/ -1 (* N N)) (- (/ +nan.0 N) +nan.0)) (fma +nan.0 (/ -1 N) (- (* N +nan.0) +nan.0)) (- (+ (log +nan.0) (log N)) (* +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)) 12.223 * * * [progress]: adding candidates to table 12.971 * [progress]: [Phase 3 of 3] Extracting. 12.971 * * [regime]: Finding splitpoints for: (# # #) 12.972 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.972 * * * * [regimes]: Trying to branch on N from (# # #) 13.010 * * * [regime]: Found split indices: #