19.741 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.070 * [progress]: [Phase 2 of 3] Improving. 0.070 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.070 * * [simplify]: iteration 0: 6 enodes 0.071 * * [simplify]: iteration 1: 9 enodes 0.072 * * [simplify]: iteration 2: 10 enodes 0.073 * * [simplify]: iteration complete: 10 enodes 0.073 * * [simplify]: Extracting #0: cost 1 inf + 0 0.074 * * [simplify]: Extracting #1: cost 4 inf + 0 0.074 * * [simplify]: Extracting #2: cost 6 inf + 0 0.074 * * [simplify]: Extracting #3: cost 6 inf + 1 0.074 * * [simplify]: Extracting #4: cost 0 inf + 560 0.074 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.074 * * [progress]: iteration 1 / 4 0.074 * * * [progress]: picking best candidate 0.078 * * * * [pick]: Picked # 0.078 * * * [progress]: localizing error 0.089 * * * [progress]: generating rewritten candidates 0.089 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.093 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.124 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.124 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.124 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.125 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.125 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.126 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.126 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [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)) 0.137 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.138 * [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)))) 0.138 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.138 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of 1.0 in N 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.139 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of 1.0 in N 0.140 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.141 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.145 * [backup-simplify]: Simplify 1.0 into 1.0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [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 0.152 * [backup-simplify]: Simplify -0.5 into -0.5 0.152 * [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)))) 0.152 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.153 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.153 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.153 * [taylor]: Taking taylor expansion of 1.0 in N 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (- 1) into -1 0.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.154 * [backup-simplify]: Simplify (log -1) into (log -1) 0.154 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.154 * [taylor]: Taking taylor expansion of 1.0 in N 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (- 1) into -1 0.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.155 * [backup-simplify]: Simplify (log -1) into (log -1) 0.155 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.156 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.161 * [backup-simplify]: Simplify -1.0 into -1.0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [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 0.174 * [backup-simplify]: Simplify -0.5 into -0.5 0.175 * [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)))) 0.175 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.175 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.176 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.176 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.177 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.177 * [taylor]: Taking taylor expansion of (log N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.177 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.177 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.179 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.179 * [taylor]: Taking taylor expansion of (log N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (log 1) into 0 0.180 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.180 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.180 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.181 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.182 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [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)) 0.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.209 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.213 * [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))) 0.213 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.213 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.213 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1.0 in N 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (log 1) into 0 0.215 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (log 1) into 0 0.216 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.217 * [backup-simplify]: Simplify 1.0 into 1.0 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify (log 1) into 0 0.218 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (log 1) into 0 0.219 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.220 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.220 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [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 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.252 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [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 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [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 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.272 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.272 * [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)))) 0.273 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.273 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.273 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.273 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.273 * [taylor]: Taking taylor expansion of 1.0 in N 0.273 * [backup-simplify]: Simplify 1.0 into 1.0 0.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (- 1) into -1 0.274 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.274 * [backup-simplify]: Simplify (log -1) into (log -1) 0.274 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.274 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.274 * [taylor]: Taking taylor expansion of -1 in N 0.274 * [backup-simplify]: Simplify -1 into -1 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ -1 1) into -1 0.275 * [backup-simplify]: Simplify (log -1) into (log -1) 0.275 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.275 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.275 * [taylor]: Taking taylor expansion of 1.0 in N 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.275 * [taylor]: Taking taylor expansion of N in N 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.276 * [backup-simplify]: Simplify (log -1) into (log -1) 0.276 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.276 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.276 * [taylor]: Taking taylor expansion of -1 in N 0.276 * [backup-simplify]: Simplify -1 into -1 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ -1 1) into -1 0.276 * [backup-simplify]: Simplify (log -1) into (log -1) 0.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.278 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.278 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.279 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.286 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [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 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.297 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [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 0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [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 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.319 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.320 * [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)))) 0.320 * * * [progress]: simplifying candidates 0.321 * [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)))) 0.323 * * [simplify]: iteration 0: 127 enodes 0.361 * * [simplify]: iteration 1: 286 enodes 0.512 * * [simplify]: iteration 2: 709 enodes 0.925 * * [simplify]: iteration 3: 2048 enodes 2.417 * * [simplify]: iteration complete: 5000 enodes 2.418 * * [simplify]: Extracting #0: cost 43 inf + 0 2.419 * * [simplify]: Extracting #1: cost 399 inf + 1 2.422 * * [simplify]: Extracting #2: cost 1010 inf + 2642 2.435 * * [simplify]: Extracting #3: cost 884 inf + 59695 2.471 * * [simplify]: Extracting #4: cost 394 inf + 170968 2.528 * * [simplify]: Extracting #5: cost 91 inf + 272370 2.591 * * [simplify]: Extracting #6: cost 22 inf + 301128 2.645 * * [simplify]: Extracting #7: cost 4 inf + 303994 2.736 * * [simplify]: Extracting #8: cost 0 inf + 305006 2.795 * [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)))) 2.798 * * * [progress]: adding candidates to table 3.061 * * [progress]: iteration 2 / 4 3.062 * * * [progress]: picking best candidate 3.074 * * * * [pick]: Picked # 3.074 * * * [progress]: localizing error 3.107 * * * [progress]: generating rewritten candidates 3.107 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3) 3.125 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 2 2) 3.151 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 1 2) 3.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 1) 3.266 * * * [progress]: generating series expansions 3.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 3) 3.267 * [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)))) 3.267 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.267 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.267 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.267 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.267 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.267 * [taylor]: Taking taylor expansion of N in N 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (* 1 1) into 1 3.268 * [backup-simplify]: Simplify (* 1 1) into 1 3.268 * [backup-simplify]: Simplify (/ 1 1) into 1 3.268 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.268 * [taylor]: Taking taylor expansion of 0.5 in N 3.268 * [backup-simplify]: Simplify 0.5 into 0.5 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.268 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.268 * [taylor]: Taking taylor expansion of N in N 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (* 1 1) into 1 3.269 * [backup-simplify]: Simplify (/ 1 1) into 1 3.269 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 3.269 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.269 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.269 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.269 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.269 * [taylor]: Taking taylor expansion of N in N 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (* 1 1) into 1 3.270 * [backup-simplify]: Simplify (* 1 1) into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.270 * [taylor]: Taking taylor expansion of 0.5 in N 3.270 * [backup-simplify]: Simplify 0.5 into 0.5 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.270 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.270 * [taylor]: Taking taylor expansion of N in N 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (* 1 1) into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.271 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.271 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.273 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.273 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.274 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.274 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (- 0) into 0 3.278 * [backup-simplify]: Simplify (+ 0 0) into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.282 * [backup-simplify]: Simplify (- 0) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (- 0) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.289 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.298 * [backup-simplify]: Simplify (- 0) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.298 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.309 * [backup-simplify]: Simplify (- 0) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.310 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.315 * [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 3.317 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.322 * [backup-simplify]: Simplify (- 0) into 0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.323 * [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)))) 3.323 * [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))) 3.324 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 3.324 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.324 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.324 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.324 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.324 * [taylor]: Taking taylor expansion of N in N 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.324 * [taylor]: Taking taylor expansion of 0.5 in N 3.324 * [backup-simplify]: Simplify 0.5 into 0.5 3.324 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.324 * [taylor]: Taking taylor expansion of N in N 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 3.324 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.324 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.324 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.324 * [taylor]: Taking taylor expansion of N in N 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.324 * [taylor]: Taking taylor expansion of 0.5 in N 3.324 * [backup-simplify]: Simplify 0.5 into 0.5 3.324 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.324 * [taylor]: Taking taylor expansion of N in N 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (* 1 1) into 1 3.325 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.326 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.326 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.327 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.327 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.328 * [backup-simplify]: Simplify (- 0) into 0 3.329 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.329 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.330 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.331 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.331 * [backup-simplify]: Simplify (- 0) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.334 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (- 0) into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.338 * [backup-simplify]: Simplify (- 0) into 0 3.338 * [backup-simplify]: Simplify (+ 0 0) into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.340 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.342 * [backup-simplify]: Simplify (- 0) into 0 3.343 * [backup-simplify]: Simplify (+ 0 0) into 0 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.345 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.347 * [backup-simplify]: Simplify (- 0) into 0 3.347 * [backup-simplify]: Simplify (+ 0 0) into 0 3.347 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.350 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.351 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.352 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [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)))) 3.353 * [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)))) 3.353 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 3.353 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.353 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.353 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.353 * [taylor]: Taking taylor expansion of 0.5 in N 3.353 * [backup-simplify]: Simplify 0.5 into 0.5 3.353 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.353 * [taylor]: Taking taylor expansion of N in N 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.353 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.353 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.353 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.353 * [taylor]: Taking taylor expansion of N in N 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 3.353 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 3.353 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.353 * [taylor]: Taking taylor expansion of 0.5 in N 3.353 * [backup-simplify]: Simplify 0.5 into 0.5 3.353 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.353 * [taylor]: Taking taylor expansion of N in N 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.353 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.353 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.353 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.353 * [taylor]: Taking taylor expansion of N in N 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (* 1 1) into 1 3.354 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.354 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.355 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.355 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.356 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.357 * [backup-simplify]: Simplify (* 1 1) into 1 3.357 * [backup-simplify]: Simplify (* 1 1) into 1 3.358 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.358 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.358 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.359 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.363 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.366 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.366 * [backup-simplify]: Simplify (- 0) into 0 3.366 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.368 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [backup-simplify]: Simplify (- 0) into 0 3.373 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.376 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify (- 0) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.381 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.381 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (- 0) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [backup-simplify]: Simplify (- 0) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.388 * [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)))) 3.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 2 2) 3.388 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 3.388 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.388 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.388 * [taylor]: Taking taylor expansion of N in N 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.388 * [backup-simplify]: Simplify (* 1 1) into 1 3.388 * [backup-simplify]: Simplify (/ 1 1) into 1 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.388 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.388 * [taylor]: Taking taylor expansion of N in N 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.389 * [backup-simplify]: Simplify (/ 1 1) into 1 3.389 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.391 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.400 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 3.400 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.400 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.400 * [taylor]: Taking taylor expansion of N in N 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.400 * [taylor]: Taking taylor expansion of N in N 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (* 1 1) into 1 3.400 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.401 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.407 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 3.407 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.407 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.407 * [taylor]: Taking taylor expansion of N in N 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.407 * [taylor]: Taking taylor expansion of N in N 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (* 1 1) into 1 3.407 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 3.415 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 1 2) 3.416 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 3.416 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 3.416 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.416 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.416 * [taylor]: Taking taylor expansion of N in N 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (* 1 1) into 1 3.417 * [backup-simplify]: Simplify (/ 1 1) into 1 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.417 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.417 * [taylor]: Taking taylor expansion of N in N 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify 1 into 1 3.418 * [backup-simplify]: Simplify (* 1 1) into 1 3.418 * [backup-simplify]: Simplify (/ 1 1) into 1 3.418 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.432 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 3.432 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.432 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.432 * [taylor]: Taking taylor expansion of N in N 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.432 * [taylor]: Taking taylor expansion of N in N 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (* 1 1) into 1 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.437 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 3.440 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 3.440 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 3.440 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.440 * [taylor]: Taking taylor expansion of N in N 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 1 into 1 3.440 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.440 * [taylor]: Taking taylor expansion of N in N 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify (* 1 1) into 1 3.441 * [backup-simplify]: Simplify 1 into 1 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.446 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 3.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 1) 3.448 * [backup-simplify]: Simplify (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) into (/ 0.3333333333333333 (pow N 3)) 3.448 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.448 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.448 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.448 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.448 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.449 * [taylor]: Taking taylor expansion of N in N 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (* 1 1) into 1 3.450 * [backup-simplify]: Simplify (* 1 1) into 1 3.450 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.450 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.450 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.450 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.450 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.450 * [taylor]: Taking taylor expansion of N in N 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.452 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.452 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.473 * [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 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.474 * [backup-simplify]: Simplify (* (/ 0.3333333333333333 (/ 1 N)) (/ (/ 1 (/ 1 N)) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 3.474 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.474 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.474 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.474 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.474 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.474 * [taylor]: Taking taylor expansion of N in N 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.474 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.474 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.474 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.474 * [taylor]: Taking taylor expansion of N in N 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (* 1 1) into 1 3.475 * [backup-simplify]: Simplify (* 1 1) into 1 3.475 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.476 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.478 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.482 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.482 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.490 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.490 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.494 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.499 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.499 * [backup-simplify]: Simplify (* (/ 0.3333333333333333 (/ 1 (- N))) (/ (/ 1 (/ 1 (- N))) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 3.499 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.499 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.500 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.500 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.500 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.500 * [taylor]: Taking taylor expansion of N in N 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 1 into 1 3.500 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.500 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.500 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.500 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.500 * [taylor]: Taking taylor expansion of N in N 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 1 into 1 3.500 * [backup-simplify]: Simplify (* 1 1) into 1 3.501 * [backup-simplify]: Simplify (* 1 1) into 1 3.501 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.501 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.503 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.504 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.507 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.510 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.512 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.514 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.515 * * * [progress]: simplifying candidates 3.519 * [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) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 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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)) 3.522 * * [simplify]: iteration 0: 300 enodes 3.664 * * [simplify]: iteration 1: 894 enodes 4.166 * * [simplify]: iteration 2: 3117 enodes 4.960 * * [simplify]: iteration complete: 5041 enodes 4.961 * * [simplify]: Extracting #0: cost 109 inf + 0 4.963 * * [simplify]: Extracting #1: cost 1135 inf + 2 4.970 * * [simplify]: Extracting #2: cost 1828 inf + 7307 5.006 * * [simplify]: Extracting #3: cost 1126 inf + 115284 5.069 * * [simplify]: Extracting #4: cost 286 inf + 281795 5.175 * * [simplify]: Extracting #5: cost 9 inf + 353605 5.301 * * [simplify]: Extracting #6: cost 0 inf + 356410 5.396 * [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)) (- 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(/ 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)) 5.443 * * * [progress]: adding candidates to table 6.841 * * [progress]: iteration 3 / 4 6.841 * * * [progress]: picking best candidate 6.852 * * * * [pick]: Picked # 6.852 * * * [progress]: localizing error 6.877 * * * [progress]: generating rewritten candidates 6.877 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3 1 1) 6.906 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3) 6.970 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 1 1 2 2) 6.980 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 1 1 1 2) 6.998 * * * [progress]: generating series expansions 6.998 * * * * [progress]: [ 1 / 4 ] generating series at (2 3 1 1) 6.998 * [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)))) 6.998 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 6.998 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 6.998 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.998 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.998 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.998 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.998 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.998 * [taylor]: Taking taylor expansion of N in N 6.998 * [backup-simplify]: Simplify 0 into 0 6.998 * [backup-simplify]: Simplify 1 into 1 6.999 * [backup-simplify]: Simplify (* 1 1) into 1 6.999 * [backup-simplify]: Simplify (* 1 1) into 1 6.999 * [backup-simplify]: Simplify (/ 1 1) into 1 6.999 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.999 * [taylor]: Taking taylor expansion of 0.5 in N 6.999 * [backup-simplify]: Simplify 0.5 into 0.5 6.999 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.999 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.999 * [taylor]: Taking taylor expansion of N in N 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 1 into 1 7.000 * [backup-simplify]: Simplify (* 1 1) into 1 7.000 * [backup-simplify]: Simplify (/ 1 1) into 1 7.000 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 7.000 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.000 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.000 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.000 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.000 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.000 * [taylor]: Taking taylor expansion of N in N 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 1 into 1 7.000 * [backup-simplify]: Simplify (* 1 1) into 1 7.000 * [backup-simplify]: Simplify (* 1 1) into 1 7.001 * [backup-simplify]: Simplify (/ 1 1) into 1 7.001 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.001 * [taylor]: Taking taylor expansion of 0.5 in N 7.001 * [backup-simplify]: Simplify 0.5 into 0.5 7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.001 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.001 * [taylor]: Taking taylor expansion of N in N 7.001 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 1 into 1 7.001 * [backup-simplify]: Simplify (* 1 1) into 1 7.001 * [backup-simplify]: Simplify (/ 1 1) into 1 7.002 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.002 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.002 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.004 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.004 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.004 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.005 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.005 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.007 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.010 * [backup-simplify]: Simplify (- 0) into 0 7.010 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.014 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.017 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.017 * [backup-simplify]: Simplify (- 0) into 0 7.018 * [backup-simplify]: Simplify (+ 0 0) into 0 7.018 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.022 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.026 * [backup-simplify]: Simplify (- 0) into 0 7.026 * [backup-simplify]: Simplify (+ 0 0) into 0 7.026 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.031 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.034 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.035 * [backup-simplify]: Simplify (- 0) into 0 7.035 * [backup-simplify]: Simplify (+ 0 0) into 0 7.035 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.040 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.044 * [backup-simplify]: Simplify (- 0) into 0 7.045 * [backup-simplify]: Simplify (+ 0 0) into 0 7.045 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.049 * [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 7.051 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.055 * [backup-simplify]: Simplify (- 0) into 0 7.055 * [backup-simplify]: Simplify (+ 0 0) into 0 7.055 * [backup-simplify]: Simplify 0 into 0 7.056 * [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)))) 7.057 * [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))) 7.057 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 7.057 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 7.057 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.057 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.057 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.057 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.057 * [taylor]: Taking taylor expansion of N in N 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.057 * [taylor]: Taking taylor expansion of 0.5 in N 7.057 * [backup-simplify]: Simplify 0.5 into 0.5 7.057 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.057 * [taylor]: Taking taylor expansion of N in N 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 7.057 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.057 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.057 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.057 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.057 * [taylor]: Taking taylor expansion of N in N 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.057 * [taylor]: Taking taylor expansion of 0.5 in N 7.057 * [backup-simplify]: Simplify 0.5 into 0.5 7.057 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.057 * [taylor]: Taking taylor expansion of N in N 7.057 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (* 1 1) into 1 7.058 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.059 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.060 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.060 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.060 * [backup-simplify]: Simplify (* 1 1) into 1 7.061 * [backup-simplify]: Simplify (* 1 1) into 1 7.061 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.062 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.063 * [backup-simplify]: Simplify (- 0) into 0 7.063 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.063 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.065 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.068 * [backup-simplify]: Simplify (- 0) into 0 7.068 * [backup-simplify]: Simplify (+ 0 0) into 0 7.068 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.071 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (- 0) into 0 7.074 * [backup-simplify]: Simplify (+ 0 0) into 0 7.074 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.077 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.080 * [backup-simplify]: Simplify (- 0) into 0 7.080 * [backup-simplify]: Simplify (+ 0 0) into 0 7.080 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.084 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.087 * [backup-simplify]: Simplify (- 0) into 0 7.088 * [backup-simplify]: Simplify (+ 0 0) into 0 7.088 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.092 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.095 * [backup-simplify]: Simplify (- 0) into 0 7.096 * [backup-simplify]: Simplify (+ 0 0) into 0 7.096 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.104 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.108 * [backup-simplify]: Simplify (- 0) into 0 7.109 * [backup-simplify]: Simplify (+ 0 0) into 0 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [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)))) 7.110 * [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)))) 7.110 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 7.110 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.110 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.110 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.110 * [taylor]: Taking taylor expansion of 0.5 in N 7.110 * [backup-simplify]: Simplify 0.5 into 0.5 7.110 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.110 * [taylor]: Taking taylor expansion of N in N 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 1 into 1 7.110 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.110 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.110 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.111 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.111 * [taylor]: Taking taylor expansion of N in N 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.111 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.111 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.111 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.111 * [taylor]: Taking taylor expansion of 0.5 in N 7.111 * [backup-simplify]: Simplify 0.5 into 0.5 7.111 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.111 * [taylor]: Taking taylor expansion of N in N 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.111 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.111 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.111 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.111 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.111 * [taylor]: Taking taylor expansion of N in N 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (* 1 1) into 1 7.112 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.112 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.113 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.113 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.115 * [backup-simplify]: Simplify (* 1 1) into 1 7.115 * [backup-simplify]: Simplify (* 1 1) into 1 7.115 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.115 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.116 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.116 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.118 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.118 * [backup-simplify]: Simplify (+ 0 0) into 0 7.119 * [backup-simplify]: Simplify (- 0) into 0 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.120 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.121 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.122 * [backup-simplify]: Simplify (+ 0 0) into 0 7.122 * [backup-simplify]: Simplify (- 0) into 0 7.122 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.123 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.125 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.125 * [backup-simplify]: Simplify (+ 0 0) into 0 7.125 * [backup-simplify]: Simplify (- 0) into 0 7.126 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.129 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.129 * [backup-simplify]: Simplify (+ 0 0) into 0 7.129 * [backup-simplify]: Simplify (- 0) into 0 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.131 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.133 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.134 * [backup-simplify]: Simplify (+ 0 0) into 0 7.134 * [backup-simplify]: Simplify (- 0) into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.139 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.139 * [backup-simplify]: Simplify (+ 0 0) into 0 7.139 * [backup-simplify]: Simplify (- 0) into 0 7.139 * [backup-simplify]: Simplify 0 into 0 7.140 * [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)))) 7.140 * * * * [progress]: [ 2 / 4 ] generating series at (2 3) 7.140 * [backup-simplify]: Simplify (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 7.140 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 7.140 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 7.140 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.140 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.140 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.140 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.140 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.140 * [taylor]: Taking taylor expansion of N in N 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (* 1 1) into 1 7.141 * [backup-simplify]: Simplify (* 1 1) into 1 7.141 * [backup-simplify]: Simplify (/ 1 1) into 1 7.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.141 * [taylor]: Taking taylor expansion of 0.5 in N 7.141 * [backup-simplify]: Simplify 0.5 into 0.5 7.141 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.141 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.141 * [taylor]: Taking taylor expansion of N in N 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (* 1 1) into 1 7.142 * [backup-simplify]: Simplify (/ 1 1) into 1 7.142 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) in N 7.142 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.142 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.142 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.142 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.142 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.142 * [taylor]: Taking taylor expansion of N in N 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 1 into 1 7.142 * [backup-simplify]: Simplify (* 1 1) into 1 7.142 * [backup-simplify]: Simplify (* 1 1) into 1 7.143 * [backup-simplify]: Simplify (/ 1 1) into 1 7.143 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.143 * [taylor]: Taking taylor expansion of 0.5 in N 7.143 * [backup-simplify]: Simplify 0.5 into 0.5 7.143 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.143 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.143 * [taylor]: Taking taylor expansion of N in N 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 1 into 1 7.143 * [backup-simplify]: Simplify (* 1 1) into 1 7.143 * [backup-simplify]: Simplify (/ 1 1) into 1 7.144 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.144 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.144 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.145 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.146 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.146 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.147 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.147 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.151 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.153 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.153 * [backup-simplify]: Simplify (- 0) into 0 7.154 * [backup-simplify]: Simplify (+ 0 0) into 0 7.154 * [backup-simplify]: Simplify 0 into 0 7.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.158 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.161 * [backup-simplify]: Simplify (- 0) into 0 7.161 * [backup-simplify]: Simplify (+ 0 0) into 0 7.161 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.166 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (- 0) into 0 7.170 * [backup-simplify]: Simplify (+ 0 0) into 0 7.170 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.175 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.179 * [backup-simplify]: Simplify (- 0) into 0 7.179 * [backup-simplify]: Simplify (+ 0 0) into 0 7.179 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.186 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.189 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.190 * [backup-simplify]: Simplify (- 0) into 0 7.190 * [backup-simplify]: Simplify (+ 0 0) into 0 7.190 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.195 * [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 7.197 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.201 * [backup-simplify]: Simplify (- 0) into 0 7.201 * [backup-simplify]: Simplify (+ 0 0) into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [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)))) 7.203 * [backup-simplify]: Simplify (log (exp (- (* (/ 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))) 7.203 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 7.203 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 7.203 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.203 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.203 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.203 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.203 * [taylor]: Taking taylor expansion of N in N 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.203 * [taylor]: Taking taylor expansion of 0.5 in N 7.203 * [backup-simplify]: Simplify 0.5 into 0.5 7.203 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.203 * [taylor]: Taking taylor expansion of N in N 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 7.203 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.203 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.203 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.203 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.203 * [taylor]: Taking taylor expansion of N in N 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.203 * [taylor]: Taking taylor expansion of 0.5 in N 7.203 * [backup-simplify]: Simplify 0.5 into 0.5 7.203 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.203 * [taylor]: Taking taylor expansion of N in N 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify (* 1 1) into 1 7.204 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.204 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.204 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.205 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.205 * [backup-simplify]: Simplify (* 1 1) into 1 7.205 * [backup-simplify]: Simplify (* 1 1) into 1 7.205 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.207 * [backup-simplify]: Simplify (- 0) into 0 7.207 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.207 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.208 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.209 * [backup-simplify]: Simplify (- 0) into 0 7.210 * [backup-simplify]: Simplify (+ 0 0) into 0 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.211 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.213 * [backup-simplify]: Simplify (- 0) into 0 7.214 * [backup-simplify]: Simplify (+ 0 0) into 0 7.214 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.216 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.218 * [backup-simplify]: Simplify (- 0) into 0 7.218 * [backup-simplify]: Simplify (+ 0 0) into 0 7.218 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.220 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.222 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.222 * [backup-simplify]: Simplify (- 0) into 0 7.222 * [backup-simplify]: Simplify (+ 0 0) into 0 7.222 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.224 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.226 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.227 * [backup-simplify]: Simplify (- 0) into 0 7.227 * [backup-simplify]: Simplify (+ 0 0) into 0 7.227 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.229 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.232 * [backup-simplify]: Simplify (- 0) into 0 7.232 * [backup-simplify]: Simplify (+ 0 0) into 0 7.232 * [backup-simplify]: Simplify 0 into 0 7.233 * [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)))) 7.233 * [backup-simplify]: Simplify (log (exp (- (* (/ 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)))) 7.233 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 7.233 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.233 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.233 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.233 * [taylor]: Taking taylor expansion of 0.5 in N 7.233 * [backup-simplify]: Simplify 0.5 into 0.5 7.233 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.233 * [taylor]: Taking taylor expansion of N in N 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 1 into 1 7.233 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.233 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.233 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.233 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.233 * [taylor]: Taking taylor expansion of N in N 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 1 into 1 7.233 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3)))) in N 7.233 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 7.233 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.233 * [taylor]: Taking taylor expansion of 0.5 in N 7.233 * [backup-simplify]: Simplify 0.5 into 0.5 7.233 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.233 * [taylor]: Taking taylor expansion of N in N 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 1 into 1 7.234 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.234 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.234 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.234 * [taylor]: Taking taylor expansion of N in N 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 1 into 1 7.234 * [backup-simplify]: Simplify (* 1 1) into 1 7.235 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.235 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.236 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.236 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.238 * [backup-simplify]: Simplify (* 1 1) into 1 7.239 * [backup-simplify]: Simplify (* 1 1) into 1 7.239 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.240 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.240 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.241 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.245 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.245 * [backup-simplify]: Simplify (+ 0 0) into 0 7.246 * [backup-simplify]: Simplify (- 0) into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.248 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.251 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.251 * [backup-simplify]: Simplify (+ 0 0) into 0 7.251 * [backup-simplify]: Simplify (- 0) into 0 7.251 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.258 * [backup-simplify]: Simplify (+ 0 0) into 0 7.258 * [backup-simplify]: Simplify (- 0) into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.265 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.265 * [backup-simplify]: Simplify (+ 0 0) into 0 7.265 * [backup-simplify]: Simplify (- 0) into 0 7.265 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.273 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.273 * [backup-simplify]: Simplify (+ 0 0) into 0 7.274 * [backup-simplify]: Simplify (- 0) into 0 7.274 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.282 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.282 * [backup-simplify]: Simplify (+ 0 0) into 0 7.283 * [backup-simplify]: Simplify (- 0) into 0 7.283 * [backup-simplify]: Simplify 0 into 0 7.284 * [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)))) 7.284 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 1 1 2 2) 7.284 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 7.284 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 7.284 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.284 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.284 * [taylor]: Taking taylor expansion of N in N 7.284 * [backup-simplify]: Simplify 0 into 0 7.284 * [backup-simplify]: Simplify 1 into 1 7.285 * [backup-simplify]: Simplify (* 1 1) into 1 7.285 * [backup-simplify]: Simplify (/ 1 1) into 1 7.285 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.285 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.285 * [taylor]: Taking taylor expansion of N in N 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [backup-simplify]: Simplify (* 1 1) into 1 7.286 * [backup-simplify]: Simplify (/ 1 1) into 1 7.286 * [backup-simplify]: Simplify 1 into 1 7.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.288 * [backup-simplify]: Simplify 0 into 0 7.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.289 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.294 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.296 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.299 * [backup-simplify]: Simplify 0 into 0 7.299 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.299 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 7.299 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.299 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.299 * [taylor]: Taking taylor expansion of N in N 7.299 * [backup-simplify]: Simplify 0 into 0 7.299 * [backup-simplify]: Simplify 1 into 1 7.299 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.299 * [taylor]: Taking taylor expansion of N in N 7.299 * [backup-simplify]: Simplify 0 into 0 7.299 * [backup-simplify]: Simplify 1 into 1 7.300 * [backup-simplify]: Simplify (* 1 1) into 1 7.300 * [backup-simplify]: Simplify 1 into 1 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.302 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.303 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.304 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.307 * [backup-simplify]: Simplify 0 into 0 7.307 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.307 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 7.307 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.307 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.307 * [taylor]: Taking taylor expansion of N in N 7.307 * [backup-simplify]: Simplify 0 into 0 7.307 * [backup-simplify]: Simplify 1 into 1 7.307 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.307 * [taylor]: Taking taylor expansion of N in N 7.307 * [backup-simplify]: Simplify 0 into 0 7.307 * [backup-simplify]: Simplify 1 into 1 7.308 * [backup-simplify]: Simplify (* 1 1) into 1 7.308 * [backup-simplify]: Simplify 1 into 1 7.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.312 * [backup-simplify]: Simplify 0 into 0 7.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.313 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.315 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 7.315 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 1 1 1 2) 7.315 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 7.315 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 7.315 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.315 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.315 * [taylor]: Taking taylor expansion of N in N 7.315 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify 1 into 1 7.316 * [backup-simplify]: Simplify (* 1 1) into 1 7.316 * [backup-simplify]: Simplify (/ 1 1) into 1 7.316 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.316 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.316 * [taylor]: Taking taylor expansion of N in N 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (* 1 1) into 1 7.317 * [backup-simplify]: Simplify (/ 1 1) into 1 7.317 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.330 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 7.330 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.330 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.330 * [taylor]: Taking taylor expansion of N in N 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 1 into 1 7.330 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.330 * [taylor]: Taking taylor expansion of N in N 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (* 1 1) into 1 7.331 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.335 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.336 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.338 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 7.338 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.338 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.338 * [taylor]: Taking taylor expansion of N in N 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 1 into 1 7.338 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.338 * [taylor]: Taking taylor expansion of N in N 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 1 into 1 7.339 * [backup-simplify]: Simplify (* 1 1) into 1 7.339 * [backup-simplify]: Simplify 1 into 1 7.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.339 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.340 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.341 * [backup-simplify]: Simplify 0 into 0 7.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.343 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.344 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 7.348 * * * [progress]: simplifying candidates 7.355 * [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 (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (log1p (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (log (exp (fma (/ 0.3333333333333333 N) (/ (/ 1 N) N) (- (* (/ (/ 1 N) N) 0.5))))) (log (exp (fma (- (/ (/ 1 N) N)) 0.5 (* (/ (/ 1 N) N) 0.5)))) (log (exp (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)))) (log (exp (- (* 0.5 (/ (/ 1 N) N))))) (log (exp (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)))) (log (exp (- (* 0.5 (/ (/ 1 N) N))))) (log (* (cbrt (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))) (cbrt (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))))) (log (cbrt (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (log (sqrt (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (log (sqrt (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (log 1) (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))) (log (exp (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)))) (log (exp (* 0.5 (/ (/ 1 N) N)))) (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))) (log (exp (* (cbrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))) (cbrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))))) (log (exp (sqrt (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (log (exp 1)) (log (exp (/ (/ 1 N) N))) (log (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (exp (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (* (cbrt (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (cbrt (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))))) (cbrt (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (* (* (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N))))) (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (sqrt (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 0.5 (/ (/ 1 N) N)))))) (sqrt (log (exp (- (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* 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) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) N) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)) (/ (/ (cbrt 1) N) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) 1) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) N) (cbrt N)) (/ (/ (sqrt 1) 1) (sqrt N)) (/ (/ (sqrt 1) N) (sqrt N)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 1 N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) 1) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (/ N (/ (cbrt 1) (cbrt N))) (/ N (/ (cbrt 1) (sqrt N))) (/ N (/ (cbrt 1) N)) (/ N (/ (sqrt 1) (cbrt N))) (/ N (/ (sqrt 1) (sqrt N))) (/ N (/ (sqrt 1) N)) (/ N (/ 1 (cbrt N))) (/ N (/ 1 (sqrt N))) (/ N (/ 1 N)) (/ N (/ 1 N)) (/ N (/ 1 N)) (* 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) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) N) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)) (/ (/ (cbrt 1) N) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) 1) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) N) (cbrt N)) (/ (/ (sqrt 1) 1) (sqrt N)) (/ (/ (sqrt 1) N) (sqrt N)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 1 N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) 1) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (/ N (/ (cbrt 1) (cbrt N))) (/ N (/ (cbrt 1) (sqrt N))) (/ N (/ (cbrt 1) N)) (/ N (/ (sqrt 1) (cbrt N))) (/ N (/ (sqrt 1) (sqrt N))) (/ N (/ (sqrt 1) N)) (/ N (/ 1 (cbrt N))) (/ N (/ 1 (sqrt N))) (/ N (/ 1 N)) (/ N (/ 1 N)) (/ N (/ 1 N)) (* 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)))) (- (* 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)) 7.360 * * [simplify]: iteration 0: 227 enodes 7.470 * * [simplify]: iteration 1: 554 enodes 7.695 * * [simplify]: iteration 2: 1759 enodes 8.604 * * [simplify]: iteration complete: 5000 enodes 8.604 * * [simplify]: Extracting #0: cost 71 inf + 0 8.606 * * [simplify]: Extracting #1: cost 640 inf + 3 8.612 * * [simplify]: Extracting #2: cost 1274 inf + 11482 8.648 * * [simplify]: Extracting #3: cost 710 inf + 130999 8.716 * * [simplify]: Extracting #4: cost 97 inf + 269815 8.802 * * [simplify]: Extracting #5: cost 15 inf + 281979 8.902 * * [simplify]: Extracting #6: cost 0 inf + 286347 8.989 * * [simplify]: Extracting #7: cost 0 inf + 286026 9.052 * [simplify]: Simplified to: (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (fma (/ -1 (* N N)) 0.5 (/ 0.5 (* N N))) (expm1 (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (log1p (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (/ (- 0.5) (* N N)) (exp (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (log (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (exp (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (* (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (* (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (* (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (- (/ (/ 0.3333333333333333 N) N) (/ 0.5 N)) (- (/ 0.3333333333333333 (* N N)) (/ 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 (- (/ 0.3333333333333333 (* N N)) (/ 0.5 N))) (* N N) (- (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N)))) (fma (/ 0.5 (* N N)) (/ 0.5 (* N N)) (* (/ (/ (/ 0.3333333333333333 N) N) N) (+ (/ 0.5 (* N N)) (/ (/ (/ 0.3333333333333333 N) N) N)))) (/ (- 0.5) (* N N)) (* (/ (+ (/ 0.3333333333333333 N) 0.5) (* N N)) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (/ (+ (/ 0.3333333333333333 N) 0.5) (* N N)) (- (/ 0.3333333333333333 N) 0.5) (/ (- 0.5) (* N N)) (expm1 (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (log1p (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (fma (/ -1 (* N N)) 0.5 (/ 0.5 (* N N))) (/ (/ (/ 0.3333333333333333 N) N) N) (/ (- 0.5) (* N N)) (/ (/ (/ 0.3333333333333333 N) N) N) (/ (- 0.5) (* N N)) (+ (log (cbrt (exp (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))))) (log (cbrt (exp (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))))) (log (cbrt (exp (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))))) (log (sqrt (exp (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))))) (log (sqrt (exp (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))))) 0 (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ (/ (/ 0.3333333333333333 N) N) N) (/ 0.5 (* N N)) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (* (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) 1 (/ (/ 1 N) N) (log (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (exp (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (* (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (cbrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (* (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (* (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (sqrt (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (sqrt (/ (- (/ 0.3333333333333333 N) 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 N)) (* N (* N N)))) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (/ 1 (* (* N (* N N)) (* N (* 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 (sqrt N)) (cbrt 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 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt 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 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt 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 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ 1 N) (* N N) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt 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 N)) (* N (* N N)))) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (/ 1 (* (* N (* N N)) (* N (* 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 (sqrt N)) (cbrt 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 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt 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 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt 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 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) 1 (/ (/ 1 N) N) (/ 1 N) (* N N) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt 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) (- (/ 0.3333333333333333 (* N (* N N))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (* N (* N N))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (* N (* N N))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (* N (* N N))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (* N (* N N))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (* N (* N N))) (/ 0.5 (* N N))) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) 9.081 * * * [progress]: adding candidates to table 9.997 * * [progress]: iteration 4 / 4 9.997 * * * [progress]: picking best candidate 10.000 * * * * [pick]: Picked # 10.000 * * * [progress]: localizing error 10.006 * * * [progress]: generating rewritten candidates 10.007 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 10.012 * * * [progress]: generating series expansions 10.012 * * * * [progress]: [ 1 / 1 ] generating series at (2) 10.013 * [backup-simplify]: Simplify (log (/ (+ 1.0 N) N)) into (log (/ (+ N 1.0) N)) 10.013 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 10.013 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.013 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.013 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.013 * [taylor]: Taking taylor expansion of N in N 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.013 * [taylor]: Taking taylor expansion of 1.0 in N 10.013 * [backup-simplify]: Simplify 1.0 into 1.0 10.013 * [taylor]: Taking taylor expansion of N in N 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.017 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.017 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.018 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.018 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.018 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.018 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.018 * [taylor]: Taking taylor expansion of N in N 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 1 into 1 10.018 * [taylor]: Taking taylor expansion of 1.0 in N 10.018 * [backup-simplify]: Simplify 1.0 into 1.0 10.018 * [taylor]: Taking taylor expansion of N in N 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 1 into 1 10.018 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.019 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.020 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.021 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 10.021 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 10.021 * [backup-simplify]: Simplify (+ 1 0) into 1 10.022 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 10.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.028 * [backup-simplify]: Simplify 1.0 into 1.0 10.028 * [backup-simplify]: Simplify (+ 0 0) into 0 10.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.039 * [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)) 10.040 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 10.042 * [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))) 10.042 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 10.042 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 10.042 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.042 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.042 * [taylor]: Taking taylor expansion of N in N 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.042 * [taylor]: Taking taylor expansion of N in N 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.043 * [backup-simplify]: Simplify (/ 1 1) into 1 10.043 * [taylor]: Taking taylor expansion of 1.0 in N 10.043 * [backup-simplify]: Simplify 1.0 into 1.0 10.043 * [backup-simplify]: Simplify (+ 1 0) into 1 10.044 * [backup-simplify]: Simplify (* 0 1) into 0 10.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.045 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.045 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.046 * [backup-simplify]: Simplify (log 1) into 0 10.046 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.046 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.046 * [taylor]: Taking taylor expansion of N in N 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 1 into 1 10.046 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.046 * [taylor]: Taking taylor expansion of N in N 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 1 into 1 10.046 * [backup-simplify]: Simplify (/ 1 1) into 1 10.046 * [taylor]: Taking taylor expansion of 1.0 in N 10.046 * [backup-simplify]: Simplify 1.0 into 1.0 10.047 * [backup-simplify]: Simplify (+ 1 0) into 1 10.047 * [backup-simplify]: Simplify (* 0 1) into 0 10.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.048 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.049 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.049 * [backup-simplify]: Simplify (log 1) into 0 10.049 * [backup-simplify]: Simplify 0 into 0 10.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.051 * [backup-simplify]: Simplify (+ 0 0) into 0 10.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 10.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.059 * [backup-simplify]: Simplify 1.0 into 1.0 10.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.060 * [backup-simplify]: Simplify (+ 0 0) into 0 10.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 10.072 * [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 10.072 * [backup-simplify]: Simplify -0.5 into -0.5 10.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.073 * [backup-simplify]: Simplify (+ 0 0) into 0 10.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 10.089 * [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 10.089 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 10.090 * [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)))) 10.090 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 10.090 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 10.090 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.090 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.090 * [taylor]: Taking taylor expansion of -1 in N 10.090 * [backup-simplify]: Simplify -1 into -1 10.090 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.090 * [taylor]: Taking taylor expansion of N in N 10.090 * [backup-simplify]: Simplify 0 into 0 10.090 * [backup-simplify]: Simplify 1 into 1 10.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.090 * [taylor]: Taking taylor expansion of 1.0 in N 10.090 * [backup-simplify]: Simplify 1.0 into 1.0 10.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.090 * [taylor]: Taking taylor expansion of N in N 10.090 * [backup-simplify]: Simplify 0 into 0 10.090 * [backup-simplify]: Simplify 1 into 1 10.090 * [backup-simplify]: Simplify (/ 1 1) into 1 10.091 * [backup-simplify]: Simplify (- 1) into -1 10.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.091 * [backup-simplify]: Simplify (* 0 -1) into 0 10.091 * [backup-simplify]: Simplify (* -1 0) into 0 10.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.092 * [backup-simplify]: Simplify (- 0) into 0 10.092 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.093 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.093 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.093 * [backup-simplify]: Simplify (log 1) into 0 10.093 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.093 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.093 * [taylor]: Taking taylor expansion of -1 in N 10.093 * [backup-simplify]: Simplify -1 into -1 10.093 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.094 * [taylor]: Taking taylor expansion of N in N 10.094 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify 1 into 1 10.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.094 * [taylor]: Taking taylor expansion of 1.0 in N 10.094 * [backup-simplify]: Simplify 1.0 into 1.0 10.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.094 * [taylor]: Taking taylor expansion of N in N 10.094 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify 1 into 1 10.094 * [backup-simplify]: Simplify (/ 1 1) into 1 10.094 * [backup-simplify]: Simplify (- 1) into -1 10.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.095 * [backup-simplify]: Simplify (* 0 -1) into 0 10.095 * [backup-simplify]: Simplify (* -1 0) into 0 10.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.096 * [backup-simplify]: Simplify (- 0) into 0 10.096 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.096 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.097 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.097 * [backup-simplify]: Simplify (log 1) into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.098 * [backup-simplify]: Simplify (- 0) into 0 10.098 * [backup-simplify]: Simplify (+ 0 0) into 0 10.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 10.101 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 10.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 10.105 * [backup-simplify]: Simplify -1.0 into -1.0 10.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.106 * [backup-simplify]: Simplify (- 0) into 0 10.106 * [backup-simplify]: Simplify (+ 0 0) into 0 10.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 10.108 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 10.115 * [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 10.115 * [backup-simplify]: Simplify -0.5 into -0.5 10.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.116 * [backup-simplify]: Simplify (- 0) into 0 10.117 * [backup-simplify]: Simplify (+ 0 0) into 0 10.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 10.120 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 10.142 * [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 10.142 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 10.143 * [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)))) 10.143 * * * [progress]: simplifying candidates 10.144 * [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)))) 10.145 * * [simplify]: iteration 0: 86 enodes 10.165 * * [simplify]: iteration 1: 173 enodes 10.209 * * [simplify]: iteration 2: 376 enodes 10.363 * * [simplify]: iteration 3: 1118 enodes 11.152 * * [simplify]: iteration 4: 3729 enodes 12.622 * * [simplify]: iteration complete: 5000 enodes 12.622 * * [simplify]: Extracting #0: cost 33 inf + 0 12.624 * * [simplify]: Extracting #1: cost 464 inf + 1 12.633 * * [simplify]: Extracting #2: cost 1004 inf + 3744 12.652 * * [simplify]: Extracting #3: cost 849 inf + 41681 12.687 * * [simplify]: Extracting #4: cost 253 inf + 144234 12.739 * * [simplify]: Extracting #5: cost 38 inf + 207643 12.790 * * [simplify]: Extracting #6: cost 1 inf + 219762 12.853 * * [simplify]: Extracting #7: cost 0 inf + 220070 12.907 * [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)) 12.909 * * * [progress]: adding candidates to table 13.021 * [progress]: [Phase 3 of 3] Extracting. 13.021 * * [regime]: Finding splitpoints for: (# # #) 13.021 * * * [regime-changes]: Trying 1 branch expressions: (N) 13.021 * * * * [regimes]: Trying to branch on N from (# # #) 13.060 * * * [regime]: Found split indices: #