16.366 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.075 * [progress]: [Phase 2 of 3] Improving. 0.075 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.076 * * [simplify]: iteration 0: 6 enodes 0.077 * * [simplify]: iteration 1: 9 enodes 0.079 * * [simplify]: iteration 2: 10 enodes 0.080 * * [simplify]: iteration complete: 10 enodes 0.080 * * [simplify]: Extracting #0: cost 1 inf + 0 0.080 * * [simplify]: Extracting #1: cost 4 inf + 0 0.080 * * [simplify]: Extracting #2: cost 6 inf + 0 0.081 * * [simplify]: Extracting #3: cost 6 inf + 1 0.081 * * [simplify]: Extracting #4: cost 0 inf + 21 0.081 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.087 * * [progress]: iteration 1 / 4 0.087 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.091 * * * [progress]: localizing error 0.107 * * * [progress]: generating rewritten candidates 0.107 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.111 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.137 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 0.137 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.138 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.139 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.139 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.139 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 0.139 * [taylor]: Taking taylor expansion of 1.0 in N 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.140 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.140 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.147 * [backup-simplify]: Simplify 1.0 into 1.0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [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)) 0.159 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.161 * [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)))) 0.162 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 0.162 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (log 1) into 0 0.164 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (log 1) into 0 0.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.166 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.187 * [backup-simplify]: Simplify -0.5 into -0.5 0.188 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.188 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 0.188 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (- 1) into -1 0.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.190 * [backup-simplify]: Simplify (log -1) into (log -1) 0.190 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (- 1) into -1 0.192 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.192 * [backup-simplify]: Simplify (log -1) into (log -1) 0.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.194 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.203 * [backup-simplify]: Simplify -1.0 into -1.0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [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 0.212 * [backup-simplify]: Simplify -0.5 into -0.5 0.212 * [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)))) 0.212 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.212 * [backup-simplify]: Simplify (- (log (+ 1.0 N)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.213 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.213 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.213 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of 1.0 in N 0.213 * [backup-simplify]: Simplify 1.0 into 1.0 0.213 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.213 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.213 * [taylor]: Taking taylor expansion of (log N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.214 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.214 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.214 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.214 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.215 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.215 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.215 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.215 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [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)) 0.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.231 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.233 * [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))) 0.233 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.233 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.233 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.233 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [backup-simplify]: Simplify 1.0 into 1.0 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify (log 1) into 0 0.234 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (log 1) into 0 0.235 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.235 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [taylor]: Taking taylor expansion of 1.0 in N 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (log 1) into 0 0.236 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (log 1) into 0 0.238 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.238 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.238 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.239 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [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 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.274 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [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 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.289 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.290 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.290 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.290 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.290 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.290 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.290 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.291 * [backup-simplify]: Simplify (log -1) into (log -1) 0.291 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.291 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.291 * [taylor]: Taking taylor expansion of -1 in N 0.291 * [backup-simplify]: Simplify -1 into -1 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ -1 1) into -1 0.292 * [backup-simplify]: Simplify (log -1) into (log -1) 0.292 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.292 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.292 * [taylor]: Taking taylor expansion of 1.0 in N 0.292 * [backup-simplify]: Simplify 1.0 into 1.0 0.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.292 * [taylor]: Taking taylor expansion of N in N 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (- 1) into -1 0.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.293 * [backup-simplify]: Simplify (log -1) into (log -1) 0.293 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.293 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.293 * [taylor]: Taking taylor expansion of -1 in N 0.293 * [backup-simplify]: Simplify -1 into -1 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ -1 1) into -1 0.294 * [backup-simplify]: Simplify (log -1) into (log -1) 0.294 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.295 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.295 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.296 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.303 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [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 0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.317 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [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 0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [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 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.343 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.345 * [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)))) 0.345 * * * [progress]: simplifying candidates 0.347 * [simplify]: Simplifying: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (exp (- (log (+ 1.0 N)) (log 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))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (log (+ 1.0 N))) (+ (* (log N) (log N)) (* (log (+ 1.0 N)) (log N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (- (log (+ 1.0 N)) (log 1)) (- (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 (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log N)) (+ (log (- 1.0 N)) (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)))) 0.348 * * [simplify]: iteration 0: 100 enodes 0.382 * * [simplify]: iteration 1: 213 enodes 0.477 * * [simplify]: iteration 2: 637 enodes 0.863 * * [simplify]: iteration 3: 2683 enodes 1.484 * * [simplify]: iteration complete: 5000 enodes 1.484 * * [simplify]: Extracting #0: cost 39 inf + 0 1.485 * * [simplify]: Extracting #1: cost 227 inf + 1 1.493 * * [simplify]: Extracting #2: cost 1213 inf + 92 1.503 * * [simplify]: Extracting #3: cost 1098 inf + 2783 1.513 * * [simplify]: Extracting #4: cost 283 inf + 7412 1.523 * * [simplify]: Extracting #5: cost 88 inf + 8781 1.534 * * [simplify]: Extracting #6: cost 47 inf + 9078 1.544 * * [simplify]: Extracting #7: cost 5 inf + 9255 1.559 * * [simplify]: Extracting #8: cost 0 inf + 9280 1.570 * [simplify]: Simplified to: (* (log (cbrt (+ N 1.0))) 2) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (- (pow N 2) (* 1.0 (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (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))) (- (log N)) (* (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (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)) (* -2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (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) (log (- (pow N 2) (* 1.0 (- N 1.0))))) (+ (log N) (log (- 1.0 N))) (- (log N)) (+ (+ (log 1.0) (* 1.0 N)) (* (* -1/2 (/ N 1.0)) (/ N 1.0))) (- (+ (/ 1.0 N) (log N)) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (log N)) (/ 0.5 (* N N))) (+ (log 1.0) (+ (- (* 1.0 N) (log N)) (* (* -1/2 (/ N 1.0)) (/ N 1.0)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) 1.571 * * * [progress]: adding candidates to table 1.796 * * [progress]: iteration 2 / 4 1.796 * * * [progress]: picking best candidate 1.806 * * * * [pick]: Picked # 1.806 * * * [progress]: localizing error 1.813 * * * [progress]: generating rewritten candidates 1.813 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.819 * * * [progress]: generating series expansions 1.819 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.819 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.819 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.819 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.819 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.819 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.819 * [taylor]: Taking taylor expansion of N in N 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [taylor]: Taking taylor expansion of 1.0 in N 1.819 * [backup-simplify]: Simplify 1.0 into 1.0 1.819 * [taylor]: Taking taylor expansion of N in N 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.820 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.820 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.820 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.820 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.820 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.820 * [taylor]: Taking taylor expansion of N in N 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [taylor]: Taking taylor expansion of 1.0 in N 1.820 * [backup-simplify]: Simplify 1.0 into 1.0 1.820 * [taylor]: Taking taylor expansion of N in N 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.821 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.821 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.822 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.822 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.822 * [backup-simplify]: Simplify (+ 1 0) into 1 1.823 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.826 * [backup-simplify]: Simplify 1.0 into 1.0 1.826 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.838 * [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)) 1.840 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.842 * [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))) 1.843 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.843 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.843 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.843 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.843 * [taylor]: Taking taylor expansion of N in N 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.843 * [taylor]: Taking taylor expansion of N in N 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of 1.0 in N 1.844 * [backup-simplify]: Simplify 1.0 into 1.0 1.845 * [backup-simplify]: Simplify (+ 1 0) into 1 1.845 * [backup-simplify]: Simplify (* 0 1) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.848 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.849 * [backup-simplify]: Simplify (log 1) into 0 1.849 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.849 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.849 * [taylor]: Taking taylor expansion of N in N 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.849 * [taylor]: Taking taylor expansion of N in N 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [taylor]: Taking taylor expansion of 1.0 in N 1.850 * [backup-simplify]: Simplify 1.0 into 1.0 1.851 * [backup-simplify]: Simplify (+ 1 0) into 1 1.851 * [backup-simplify]: Simplify (* 0 1) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.854 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.854 * [backup-simplify]: Simplify (log 1) into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.876 * [backup-simplify]: Simplify 1.0 into 1.0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.890 * [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 1.890 * [backup-simplify]: Simplify -0.5 into -0.5 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.911 * [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 1.912 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.912 * [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)))) 1.913 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.913 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.913 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.913 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.913 * [taylor]: Taking taylor expansion of -1 in N 1.913 * [backup-simplify]: Simplify -1 into -1 1.913 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.913 * [taylor]: Taking taylor expansion of 1.0 in N 1.913 * [backup-simplify]: Simplify 1.0 into 1.0 1.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.914 * [backup-simplify]: Simplify (- 1) into -1 1.915 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.915 * [backup-simplify]: Simplify (* 0 -1) into 0 1.916 * [backup-simplify]: Simplify (* -1 0) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (- 0) into 0 1.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.918 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.919 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.919 * [backup-simplify]: Simplify (log 1) into 0 1.919 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.919 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.919 * [taylor]: Taking taylor expansion of -1 in N 1.919 * [backup-simplify]: Simplify -1 into -1 1.919 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.919 * [taylor]: Taking taylor expansion of N in N 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.919 * [taylor]: Taking taylor expansion of 1.0 in N 1.920 * [backup-simplify]: Simplify 1.0 into 1.0 1.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.920 * [taylor]: Taking taylor expansion of N in N 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (/ 1 1) into 1 1.920 * [backup-simplify]: Simplify (- 1) into -1 1.921 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.921 * [backup-simplify]: Simplify (* 0 -1) into 0 1.922 * [backup-simplify]: Simplify (* -1 0) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.924 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.924 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.925 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.925 * [backup-simplify]: Simplify (log 1) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.930 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.935 * [backup-simplify]: Simplify -1.0 into -1.0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.939 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.947 * [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 1.947 * [backup-simplify]: Simplify -0.5 into -0.5 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.950 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.960 * [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 1.961 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.961 * [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)))) 1.961 * * * [progress]: simplifying candidates 1.962 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.962 * * [simplify]: iteration 0: 84 enodes 1.993 * * [simplify]: iteration 1: 169 enodes 2.071 * * [simplify]: iteration 2: 446 enodes 2.251 * * [simplify]: iteration 3: 1837 enodes 2.710 * * [simplify]: iteration complete: 5001 enodes 2.710 * * [simplify]: Extracting #0: cost 31 inf + 0 2.712 * * [simplify]: Extracting #1: cost 649 inf + 1 2.716 * * [simplify]: Extracting #2: cost 1535 inf + 139 2.721 * * [simplify]: Extracting #3: cost 1594 inf + 793 2.727 * * [simplify]: Extracting #4: cost 868 inf + 4349 2.737 * * [simplify]: Extracting #5: cost 420 inf + 7904 2.747 * * [simplify]: Extracting #6: cost 76 inf + 11237 2.754 * * [simplify]: Extracting #7: cost 1 inf + 11980 2.761 * * [simplify]: Extracting #8: cost 0 inf + 11988 2.770 * [simplify]: Simplified to: (* (log (cbrt (/ (+ 1.0 N) N))) 2) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (* 2 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (- (* 2 (log (cbrt (+ 1.0 N)))) (log (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (* 2 (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (- (log (sqrt (+ 1.0 N))) (* 2 (log (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))) (log (/ (sqrt (+ 1.0 N)) N)) (* (- 2) (log (cbrt N))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (* (- 2) (log (cbrt N))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (pow (log (/ (+ 1.0 N) N)) 3) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (+ (+ (log 1.0) (* N 1.0)) (- (* (* (/ N 1.0) (/ N 1.0)) -1/2) (log N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ (/ 0.5 N) N)) 2.770 * * * [progress]: adding candidates to table 2.861 * * [progress]: iteration 3 / 4 2.861 * * * [progress]: picking best candidate 2.866 * * * * [pick]: Picked # 2.866 * * * [progress]: localizing error 2.877 * * * [progress]: generating rewritten candidates 2.877 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.883 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.890 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.899 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.920 * * * [progress]: generating series expansions 2.920 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.921 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 N) N))) into (log (sqrt (/ (+ N 1.0) N))) 2.921 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 2.921 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.921 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.921 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.921 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.921 * [taylor]: Taking taylor expansion of N in N 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [taylor]: Taking taylor expansion of 1.0 in N 2.921 * [backup-simplify]: Simplify 1.0 into 1.0 2.921 * [taylor]: Taking taylor expansion of N in N 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.922 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.922 * [backup-simplify]: Simplify (sqrt 0) into 0 2.923 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 2.923 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.924 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 2.924 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 2.924 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.924 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.924 * [taylor]: Taking taylor expansion of N in N 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of 1.0 in N 2.924 * [backup-simplify]: Simplify 1.0 into 1.0 2.924 * [taylor]: Taking taylor expansion of N in N 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.925 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.925 * [backup-simplify]: Simplify (sqrt 0) into 0 2.926 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 2.926 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.926 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.927 * [backup-simplify]: Simplify (+ 1 0) into 1 2.927 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.929 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.933 * [backup-simplify]: Simplify (+ 0 0) into 0 2.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.947 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 2.947 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.948 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 2.948 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 2.948 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 2.948 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.948 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.948 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.949 * [taylor]: Taking taylor expansion of N in N 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.949 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.949 * [taylor]: Taking taylor expansion of N in N 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [taylor]: Taking taylor expansion of 1.0 in N 2.949 * [backup-simplify]: Simplify 1.0 into 1.0 2.950 * [backup-simplify]: Simplify (+ 1 0) into 1 2.950 * [backup-simplify]: Simplify (* 0 1) into 0 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.952 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.952 * [backup-simplify]: Simplify (sqrt 1) into 1 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.957 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 2.957 * [backup-simplify]: Simplify (log 1) into 0 2.958 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 2.958 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 2.958 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.958 * [taylor]: Taking taylor expansion of N in N 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.958 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.958 * [taylor]: Taking taylor expansion of N in N 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.958 * [taylor]: Taking taylor expansion of 1.0 in N 2.958 * [backup-simplify]: Simplify 1.0 into 1.0 2.959 * [backup-simplify]: Simplify (+ 1 0) into 1 2.959 * [backup-simplify]: Simplify (* 0 1) into 0 2.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.961 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.961 * [backup-simplify]: Simplify (sqrt 1) into 1 2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.966 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 2.967 * [backup-simplify]: Simplify (log 1) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 2.974 * [backup-simplify]: Simplify 0.5 into 0.5 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ 0 0) into 0 2.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 2.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 2.992 * [backup-simplify]: Simplify -0.25 into -0.25 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ 0 0) into 0 2.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.032 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 3.032 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.033 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.033 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.033 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.033 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.033 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.033 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.033 * [taylor]: Taking taylor expansion of -1 in N 3.033 * [backup-simplify]: Simplify -1 into -1 3.033 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.033 * [taylor]: Taking taylor expansion of N in N 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.033 * [taylor]: Taking taylor expansion of 1.0 in N 3.033 * [backup-simplify]: Simplify 1.0 into 1.0 3.033 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.033 * [taylor]: Taking taylor expansion of N in N 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ 1 1) into 1 3.034 * [backup-simplify]: Simplify (- 1) into -1 3.034 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.035 * [backup-simplify]: Simplify (* 0 -1) into 0 3.035 * [backup-simplify]: Simplify (* -1 0) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (- 0) into 0 3.036 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.036 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.037 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.037 * [backup-simplify]: Simplify (sqrt 1) into 1 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (- 0) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.041 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.043 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.043 * [backup-simplify]: Simplify (log 1) into 0 3.043 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.043 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.043 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.043 * [taylor]: Taking taylor expansion of -1 in N 3.043 * [backup-simplify]: Simplify -1 into -1 3.043 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.043 * [taylor]: Taking taylor expansion of N in N 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 1 into 1 3.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.043 * [taylor]: Taking taylor expansion of 1.0 in N 3.043 * [backup-simplify]: Simplify 1.0 into 1.0 3.044 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.044 * [taylor]: Taking taylor expansion of N in N 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 1 into 1 3.044 * [backup-simplify]: Simplify (/ 1 1) into 1 3.044 * [backup-simplify]: Simplify (- 1) into -1 3.045 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.045 * [backup-simplify]: Simplify (* 0 -1) into 0 3.046 * [backup-simplify]: Simplify (* -1 0) into 0 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (- 0) into 0 3.048 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.049 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.049 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.050 * [backup-simplify]: Simplify (sqrt 1) into 1 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (- 0) into 0 3.051 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.056 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.058 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.058 * [backup-simplify]: Simplify (log 1) into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.066 * [backup-simplify]: Simplify -0.5 into -0.5 3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (- 0) into 0 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.072 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.086 * [backup-simplify]: Simplify -0.25 into -0.25 3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.087 * [backup-simplify]: Simplify (- 0) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.118 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 3.118 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.118 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.118 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.119 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 N) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.119 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.119 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.119 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.119 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.119 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.119 * [taylor]: Taking taylor expansion of N in N 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [taylor]: Taking taylor expansion of 1.0 in N 3.119 * [backup-simplify]: Simplify 1.0 into 1.0 3.119 * [taylor]: Taking taylor expansion of N in N 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.120 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.120 * [backup-simplify]: Simplify (sqrt 0) into 0 3.121 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.122 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.122 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.122 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.122 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.122 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.122 * [taylor]: Taking taylor expansion of N in N 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of 1.0 in N 3.122 * [backup-simplify]: Simplify 1.0 into 1.0 3.122 * [taylor]: Taking taylor expansion of N in N 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.123 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.123 * [backup-simplify]: Simplify (sqrt 0) into 0 3.124 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.125 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.125 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.126 * [backup-simplify]: Simplify (+ 1 0) into 1 3.127 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.129 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.135 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 3.153 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.154 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 3.154 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.154 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.154 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.154 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.154 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.154 * [taylor]: Taking taylor expansion of N in N 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.154 * [taylor]: Taking taylor expansion of N in N 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [taylor]: Taking taylor expansion of 1.0 in N 3.155 * [backup-simplify]: Simplify 1.0 into 1.0 3.155 * [backup-simplify]: Simplify (+ 1 0) into 1 3.156 * [backup-simplify]: Simplify (* 0 1) into 0 3.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.163 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.163 * [backup-simplify]: Simplify (sqrt 1) into 1 3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.165 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.168 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.169 * [backup-simplify]: Simplify (log 1) into 0 3.169 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.169 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.169 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.169 * [taylor]: Taking taylor expansion of N in N 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.169 * [taylor]: Taking taylor expansion of N in N 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (/ 1 1) into 1 3.169 * [taylor]: Taking taylor expansion of 1.0 in N 3.169 * [backup-simplify]: Simplify 1.0 into 1.0 3.170 * [backup-simplify]: Simplify (+ 1 0) into 1 3.170 * [backup-simplify]: Simplify (* 0 1) into 0 3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.172 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.172 * [backup-simplify]: Simplify (sqrt 1) into 1 3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.177 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.177 * [backup-simplify]: Simplify (log 1) into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.182 * [backup-simplify]: Simplify 0.5 into 0.5 3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.201 * [backup-simplify]: Simplify -0.25 into -0.25 3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.202 * [backup-simplify]: Simplify (+ 0 0) into 0 3.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.229 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 3.229 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.230 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.230 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.230 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.230 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.230 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.230 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.230 * [taylor]: Taking taylor expansion of -1 in N 3.230 * [backup-simplify]: Simplify -1 into -1 3.230 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.230 * [taylor]: Taking taylor expansion of N in N 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.230 * [taylor]: Taking taylor expansion of 1.0 in N 3.230 * [backup-simplify]: Simplify 1.0 into 1.0 3.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.230 * [taylor]: Taking taylor expansion of N in N 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [backup-simplify]: Simplify (- 1) into -1 3.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.231 * [backup-simplify]: Simplify (* 0 -1) into 0 3.232 * [backup-simplify]: Simplify (* -1 0) into 0 3.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (- 0) into 0 3.233 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.233 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.234 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.234 * [backup-simplify]: Simplify (sqrt 1) into 1 3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (- 0) into 0 3.235 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.238 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.240 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.240 * [backup-simplify]: Simplify (log 1) into 0 3.240 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.240 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.240 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.240 * [taylor]: Taking taylor expansion of -1 in N 3.240 * [backup-simplify]: Simplify -1 into -1 3.240 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.240 * [taylor]: Taking taylor expansion of N in N 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.240 * [taylor]: Taking taylor expansion of 1.0 in N 3.240 * [backup-simplify]: Simplify 1.0 into 1.0 3.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.240 * [taylor]: Taking taylor expansion of N in N 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify (/ 1 1) into 1 3.241 * [backup-simplify]: Simplify (- 1) into -1 3.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.242 * [backup-simplify]: Simplify (* 0 -1) into 0 3.242 * [backup-simplify]: Simplify (* -1 0) into 0 3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (- 0) into 0 3.243 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.244 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.244 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.244 * [backup-simplify]: Simplify (sqrt 1) into 1 3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (- 0) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.248 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.249 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.250 * [backup-simplify]: Simplify (log 1) into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.253 * [backup-simplify]: Simplify -0.5 into -0.5 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (- 0) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.256 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.258 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 3.266 * [backup-simplify]: Simplify -0.25 into -0.25 3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (- 0) into 0 3.267 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.298 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 3.298 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.299 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 3.299 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.299 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 N) N)) into (sqrt (/ (+ N 1.0) N)) 3.299 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.299 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.299 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.299 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.299 * [taylor]: Taking taylor expansion of N in N 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [taylor]: Taking taylor expansion of 1.0 in N 3.300 * [backup-simplify]: Simplify 1.0 into 1.0 3.300 * [taylor]: Taking taylor expansion of N in N 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.301 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.301 * [backup-simplify]: Simplify (sqrt 0) into 0 3.302 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.303 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.303 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.303 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.303 * [taylor]: Taking taylor expansion of N in N 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [taylor]: Taking taylor expansion of 1.0 in N 3.303 * [backup-simplify]: Simplify 1.0 into 1.0 3.303 * [taylor]: Taking taylor expansion of N in N 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.304 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.304 * [backup-simplify]: Simplify (sqrt 0) into 0 3.305 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.306 * [backup-simplify]: Simplify (+ 1 0) into 1 3.307 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.310 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.311 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.314 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.314 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 3.314 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 3.314 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.314 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.314 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.315 * [taylor]: Taking taylor expansion of N in N 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.315 * [taylor]: Taking taylor expansion of N in N 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (/ 1 1) into 1 3.315 * [taylor]: Taking taylor expansion of 1.0 in N 3.315 * [backup-simplify]: Simplify 1.0 into 1.0 3.315 * [backup-simplify]: Simplify (+ 1 0) into 1 3.316 * [backup-simplify]: Simplify (* 0 1) into 0 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.317 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.317 * [backup-simplify]: Simplify (sqrt 1) into 1 3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (+ 0 0) into 0 3.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.320 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.320 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.320 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.320 * [taylor]: Taking taylor expansion of N in N 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.321 * [taylor]: Taking taylor expansion of N in N 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 1 into 1 3.321 * [backup-simplify]: Simplify (/ 1 1) into 1 3.321 * [taylor]: Taking taylor expansion of 1.0 in N 3.321 * [backup-simplify]: Simplify 1.0 into 1.0 3.321 * [backup-simplify]: Simplify (+ 1 0) into 1 3.321 * [backup-simplify]: Simplify (* 0 1) into 0 3.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.323 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.323 * [backup-simplify]: Simplify (sqrt 1) into 1 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.326 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify 0.5 into 0.5 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.330 * [backup-simplify]: Simplify -0.125 into -0.125 3.330 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.330 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 3.330 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.330 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.330 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.330 * [taylor]: Taking taylor expansion of -1 in N 3.330 * [backup-simplify]: Simplify -1 into -1 3.330 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.330 * [taylor]: Taking taylor expansion of N in N 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.330 * [taylor]: Taking taylor expansion of 1.0 in N 3.330 * [backup-simplify]: Simplify 1.0 into 1.0 3.330 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.330 * [taylor]: Taking taylor expansion of N in N 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (/ 1 1) into 1 3.331 * [backup-simplify]: Simplify (- 1) into -1 3.331 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.331 * [backup-simplify]: Simplify (* 0 -1) into 0 3.332 * [backup-simplify]: Simplify (* -1 0) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (- 0) into 0 3.333 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.333 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.334 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.334 * [backup-simplify]: Simplify (sqrt 1) into 1 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (- 0) into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.338 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.340 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.340 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.340 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.340 * [taylor]: Taking taylor expansion of -1 in N 3.340 * [backup-simplify]: Simplify -1 into -1 3.340 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.340 * [taylor]: Taking taylor expansion of N in N 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.340 * [taylor]: Taking taylor expansion of 1.0 in N 3.340 * [backup-simplify]: Simplify 1.0 into 1.0 3.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.340 * [taylor]: Taking taylor expansion of N in N 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.341 * [backup-simplify]: Simplify (/ 1 1) into 1 3.341 * [backup-simplify]: Simplify (- 1) into -1 3.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.342 * [backup-simplify]: Simplify (* 0 -1) into 0 3.342 * [backup-simplify]: Simplify (* -1 0) into 0 3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (- 0) into 0 3.344 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.345 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.345 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.346 * [backup-simplify]: Simplify (sqrt 1) into 1 3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.347 * [backup-simplify]: Simplify (- 0) into 0 3.348 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.354 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.356 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify -0.5 into -0.5 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (- 0) into 0 3.358 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.361 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.364 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.364 * [backup-simplify]: Simplify -0.125 into -0.125 3.365 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.365 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 N) N)) into (sqrt (/ (+ N 1.0) N)) 3.365 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.365 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.365 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.365 * [taylor]: Taking taylor expansion of N in N 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [taylor]: Taking taylor expansion of 1.0 in N 3.365 * [backup-simplify]: Simplify 1.0 into 1.0 3.365 * [taylor]: Taking taylor expansion of N in N 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.366 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.366 * [backup-simplify]: Simplify (sqrt 0) into 0 3.368 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.368 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.368 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.368 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.368 * [taylor]: Taking taylor expansion of N in N 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [taylor]: Taking taylor expansion of 1.0 in N 3.368 * [backup-simplify]: Simplify 1.0 into 1.0 3.368 * [taylor]: Taking taylor expansion of N in N 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.369 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.370 * [backup-simplify]: Simplify (sqrt 0) into 0 3.371 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.372 * [backup-simplify]: Simplify (+ 1 0) into 1 3.373 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.375 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.379 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 3.379 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 3.379 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.379 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.379 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify (/ 1 1) into 1 3.379 * [taylor]: Taking taylor expansion of 1.0 in N 3.379 * [backup-simplify]: Simplify 1.0 into 1.0 3.380 * [backup-simplify]: Simplify (+ 1 0) into 1 3.380 * [backup-simplify]: Simplify (* 0 1) into 0 3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.381 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.382 * [backup-simplify]: Simplify (sqrt 1) into 1 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (+ 0 0) into 0 3.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.385 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.385 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.385 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.385 * [taylor]: Taking taylor expansion of N in N 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.385 * [taylor]: Taking taylor expansion of N in N 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [backup-simplify]: Simplify (/ 1 1) into 1 3.386 * [taylor]: Taking taylor expansion of 1.0 in N 3.386 * [backup-simplify]: Simplify 1.0 into 1.0 3.386 * [backup-simplify]: Simplify (+ 1 0) into 1 3.386 * [backup-simplify]: Simplify (* 0 1) into 0 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.387 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.388 * [backup-simplify]: Simplify (sqrt 1) into 1 3.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.396 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify 0.5 into 0.5 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.400 * [backup-simplify]: Simplify -0.125 into -0.125 3.400 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.400 * [backup-simplify]: Simplify (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 3.400 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.400 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.400 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.400 * [taylor]: Taking taylor expansion of -1 in N 3.400 * [backup-simplify]: Simplify -1 into -1 3.400 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) 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 (- 1.0 (/ 1 N)) in N 3.400 * [taylor]: Taking taylor expansion of 1.0 in N 3.401 * [backup-simplify]: Simplify 1.0 into 1.0 3.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.401 * [taylor]: Taking taylor expansion of N in N 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (/ 1 1) into 1 3.401 * [backup-simplify]: Simplify (- 1) into -1 3.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.402 * [backup-simplify]: Simplify (* 0 -1) into 0 3.402 * [backup-simplify]: Simplify (* -1 0) into 0 3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.404 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.405 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.405 * [backup-simplify]: Simplify (sqrt 1) into 1 3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (- 0) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.411 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.413 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.413 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.413 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.413 * [taylor]: Taking taylor expansion of -1 in N 3.413 * [backup-simplify]: Simplify -1 into -1 3.413 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.413 * [taylor]: Taking taylor expansion of N in N 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.413 * [taylor]: Taking taylor expansion of 1.0 in N 3.413 * [backup-simplify]: Simplify 1.0 into 1.0 3.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.413 * [taylor]: Taking taylor expansion of N in N 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (/ 1 1) into 1 3.415 * [backup-simplify]: Simplify (- 1) into -1 3.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.416 * [backup-simplify]: Simplify (* 0 -1) into 0 3.416 * [backup-simplify]: Simplify (* -1 0) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (- 0) into 0 3.418 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.418 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.419 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.419 * [backup-simplify]: Simplify (sqrt 1) into 1 3.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (- 0) into 0 3.421 * [backup-simplify]: Simplify (+ 0 0) into 0 3.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.426 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.427 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify -0.5 into -0.5 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.434 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.437 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.437 * [backup-simplify]: Simplify -0.125 into -0.125 3.437 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.437 * * * [progress]: simplifying candidates 3.441 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) 1))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log 1) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt N)) (log (/ (+ 1.0 N) N)) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (sqrt (/ (+ 1.0 N) N)))) (exp (log (sqrt (/ (+ 1.0 N) N)))) (* (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (cbrt (log (sqrt (/ (+ 1.0 N) N))))) (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (* (* (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (log (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) 1))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log 1) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt N)) (log (/ (+ 1.0 N) N)) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (sqrt (/ (+ 1.0 N) N)))) (exp (log (sqrt (/ (+ 1.0 N) N)))) (* (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (cbrt (log (sqrt (/ (+ 1.0 N) N))))) (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (* (* (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (+ 1.0 N) N))) (exp (sqrt (/ (+ 1.0 N) N))) (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N)))) (cbrt (sqrt (/ (+ 1.0 N) N))) (* (* (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N))) (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (sqrt (cbrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (sqrt (/ (cbrt (+ 1.0 N)) N)) (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) 1)) (sqrt (/ (sqrt (+ 1.0 N)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1.0 N) N)) (sqrt 1) (sqrt (/ (+ 1.0 N) N)) (sqrt (+ 1.0 N)) (sqrt (/ 1 N)) (sqrt (+ 1.0 N)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (exp (sqrt (/ (+ 1.0 N) N))) (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N)))) (cbrt (sqrt (/ (+ 1.0 N) N))) (* (* (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N))) (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (sqrt (cbrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (sqrt (/ (cbrt (+ 1.0 N)) N)) (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) 1)) (sqrt (/ (sqrt (+ 1.0 N)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ 1.0 N) N)) (sqrt 1) (sqrt (/ (+ 1.0 N) N)) (sqrt (+ 1.0 N)) (sqrt (/ 1 N)) (sqrt (+ 1.0 N)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 3.443 * * [simplify]: iteration 0: 123 enodes 3.462 * * [simplify]: iteration 1: 202 enodes 3.542 * * [simplify]: iteration 2: 474 enodes 3.812 * * [simplify]: iteration 3: 1644 enodes 4.309 * * [simplify]: iteration complete: 5001 enodes 4.309 * * [simplify]: Extracting #0: cost 63 inf + 0 4.310 * * [simplify]: Extracting #1: cost 221 inf + 3 4.319 * * [simplify]: Extracting #2: cost 1821 inf + 15 4.331 * * [simplify]: Extracting #3: cost 1329 inf + 2704 4.341 * * [simplify]: Extracting #4: cost 274 inf + 8677 4.348 * * [simplify]: Extracting #5: cost 47 inf + 10381 4.359 * * [simplify]: Extracting #6: cost 10 inf + 10539 4.367 * * [simplify]: Extracting #7: cost 0 inf + 10593 4.380 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (fabs (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (fabs (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N)))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (fabs (cbrt (+ 1.0 N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (/ (sqrt (+ 1.0 N)) (cbrt N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (sqrt (+ 1.0 N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1.0 N) N))) 0 (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) 0 (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt N)) (log (/ (+ 1.0 N) N)) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (/ (+ 1.0 N) N)) (* (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (cbrt (log (sqrt (/ (+ 1.0 N) N))))) (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (pow (log (sqrt (/ (+ 1.0 N) N))) 3) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (* 2 (log (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (fabs (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (fabs (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N)))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (fabs (cbrt (+ 1.0 N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (/ (sqrt (+ 1.0 N)) (cbrt N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (sqrt (+ 1.0 N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1.0 N) N))) 0 (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) 0 (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt N)) (log (/ (+ 1.0 N) N)) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (/ (+ 1.0 N) N)) (* (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (cbrt (log (sqrt (/ (+ 1.0 N) N))))) (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (pow (log (sqrt (/ (+ 1.0 N) N))) 3) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (+ 1.0 N) N))) (exp (sqrt (/ (+ 1.0 N) N))) (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N)))) (cbrt (sqrt (/ (+ 1.0 N) N))) (pow (sqrt (/ (+ 1.0 N) N)) 3) (fabs (cbrt (/ (+ 1.0 N) N))) (sqrt (cbrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (fabs (/ (cbrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N))))) (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N))) (fabs (cbrt (+ 1.0 N))) (sqrt (/ (cbrt (+ 1.0 N)) N)) (sqrt (/ (/ (sqrt (+ 1.0 N)) (cbrt N)) (cbrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (sqrt (+ 1.0 N))) (sqrt (/ (sqrt (+ 1.0 N)) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) 1 (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) 1 (sqrt (/ (+ 1.0 N) N)) 1 (sqrt (/ (+ 1.0 N) N)) (sqrt (+ 1.0 N)) (sqrt (/ 1 N)) (sqrt (+ 1.0 N)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (exp (sqrt (/ (+ 1.0 N) N))) (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N)))) (cbrt (sqrt (/ (+ 1.0 N) N))) (pow (sqrt (/ (+ 1.0 N) N)) 3) (fabs (cbrt (/ (+ 1.0 N) N))) (sqrt (cbrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (fabs (/ (cbrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N))))) (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N))) (fabs (cbrt (+ 1.0 N))) (sqrt (/ (cbrt (+ 1.0 N)) N)) (sqrt (/ (/ (sqrt (+ 1.0 N)) (cbrt N)) (cbrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N))) (sqrt (sqrt (+ 1.0 N))) (sqrt (/ (sqrt (+ 1.0 N)) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) 1 (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ 1.0 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) 1 (sqrt (/ (+ 1.0 N) N)) 1 (sqrt (/ (+ 1.0 N) N)) (sqrt (+ 1.0 N)) (sqrt (/ 1 N)) (sqrt (+ 1.0 N)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ 1.0 N) N))) (sqrt (sqrt (/ (+ 1.0 N) N))) (- (log +nan.0) (* +nan.0 (- N (* N N)))) (- (/ 0.16666666666666666 (pow N 3)) (- (/ (/ 0.25 N) N) (/ 0.5 N))) (- (/ 0.16666666666666666 (pow N 3)) (- (/ (/ 0.25 N) N) (/ 0.5 N))) (- (log +nan.0) (* +nan.0 (- N (* N N)))) (- (/ 0.16666666666666666 (pow N 3)) (- (/ (/ 0.25 N) N) (/ 0.5 N))) (- (/ 0.16666666666666666 (pow N 3)) (- (/ (/ 0.25 N) N) (/ 0.5 N))) (- (* +nan.0 (- (* N N) N)) +nan.0) (- 1 (- (/ (/ 0.125 N) N) (/ 0.5 N))) (- 1 (- (/ (/ 0.125 N) N) (/ 0.5 N))) (- (* +nan.0 (- (* N N) N)) +nan.0) (- 1 (- (/ (/ 0.125 N) N) (/ 0.5 N))) (- 1 (- (/ (/ 0.125 N) N) (/ 0.5 N))) 4.382 * * * [progress]: adding candidates to table 4.929 * * [progress]: iteration 4 / 4 4.929 * * * [progress]: picking best candidate 4.938 * * * * [pick]: Picked # 4.938 * * * [progress]: localizing error 4.966 * * * [progress]: generating rewritten candidates 4.966 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.976 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 4.987 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 4.998 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 5.017 * * * [progress]: generating series expansions 5.018 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.018 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 N) N))) into (log (sqrt (/ (+ N 1.0) N))) 5.018 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 5.018 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.018 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.018 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.018 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.018 * [taylor]: Taking taylor expansion of N in N 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [taylor]: Taking taylor expansion of 1.0 in N 5.018 * [backup-simplify]: Simplify 1.0 into 1.0 5.018 * [taylor]: Taking taylor expansion of N in N 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.019 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.020 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.020 * [backup-simplify]: Simplify (sqrt 0) into 0 5.022 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.023 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.023 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.023 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.023 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.023 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.023 * [taylor]: Taking taylor expansion of N in N 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [taylor]: Taking taylor expansion of 1.0 in N 5.023 * [backup-simplify]: Simplify 1.0 into 1.0 5.023 * [taylor]: Taking taylor expansion of N in N 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.024 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.024 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.025 * [backup-simplify]: Simplify (sqrt 0) into 0 5.026 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.026 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.027 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.027 * [backup-simplify]: Simplify (+ 1 0) into 1 5.029 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.032 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.041 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.041 * [backup-simplify]: Simplify (+ 0 0) into 0 5.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.065 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.065 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.066 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 5.066 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 5.066 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.066 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.066 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.066 * [taylor]: Taking taylor expansion of N in N 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify 1 into 1 5.066 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.066 * [taylor]: Taking taylor expansion of N in N 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify 1 into 1 5.066 * [backup-simplify]: Simplify (/ 1 1) into 1 5.067 * [taylor]: Taking taylor expansion of 1.0 in N 5.067 * [backup-simplify]: Simplify 1.0 into 1.0 5.067 * [backup-simplify]: Simplify (+ 1 0) into 1 5.068 * [backup-simplify]: Simplify (* 0 1) into 0 5.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.069 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.070 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.070 * [backup-simplify]: Simplify (sqrt 1) into 1 5.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.071 * [backup-simplify]: Simplify (+ 0 0) into 0 5.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.076 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.076 * [backup-simplify]: Simplify (log 1) into 0 5.076 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.076 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.076 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.076 * [taylor]: Taking taylor expansion of N in N 5.076 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify 1 into 1 5.076 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.076 * [taylor]: Taking taylor expansion of N in N 5.076 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify 1 into 1 5.077 * [backup-simplify]: Simplify (/ 1 1) into 1 5.077 * [taylor]: Taking taylor expansion of 1.0 in N 5.077 * [backup-simplify]: Simplify 1.0 into 1.0 5.077 * [backup-simplify]: Simplify (+ 1 0) into 1 5.078 * [backup-simplify]: Simplify (* 0 1) into 0 5.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.080 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.080 * [backup-simplify]: Simplify (sqrt 1) into 1 5.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.081 * [backup-simplify]: Simplify (+ 0 0) into 0 5.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.085 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.086 * [backup-simplify]: Simplify (log 1) into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 5.097 * [backup-simplify]: Simplify 0.5 into 0.5 5.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.098 * [backup-simplify]: Simplify (+ 0 0) into 0 5.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 5.109 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.109 * [backup-simplify]: Simplify -0.25 into -0.25 5.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.110 * [backup-simplify]: Simplify (+ 0 0) into 0 5.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 5.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 5.130 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 5.130 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 5.130 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.131 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 5.131 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 5.131 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.131 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.131 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.131 * [taylor]: Taking taylor expansion of -1 in N 5.131 * [backup-simplify]: Simplify -1 into -1 5.131 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.131 * [taylor]: Taking taylor expansion of N in N 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.131 * [taylor]: Taking taylor expansion of 1.0 in N 5.131 * [backup-simplify]: Simplify 1.0 into 1.0 5.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.131 * [taylor]: Taking taylor expansion of N in N 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [backup-simplify]: Simplify (/ 1 1) into 1 5.131 * [backup-simplify]: Simplify (- 1) into -1 5.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.132 * [backup-simplify]: Simplify (* 0 -1) into 0 5.132 * [backup-simplify]: Simplify (* -1 0) into 0 5.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.133 * [backup-simplify]: Simplify (- 0) into 0 5.133 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.134 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.134 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.135 * [backup-simplify]: Simplify (sqrt 1) into 1 5.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.135 * [backup-simplify]: Simplify (- 0) into 0 5.136 * [backup-simplify]: Simplify (+ 0 0) into 0 5.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.139 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.140 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.140 * [backup-simplify]: Simplify (log 1) into 0 5.140 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.140 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.140 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.140 * [taylor]: Taking taylor expansion of -1 in N 5.140 * [backup-simplify]: Simplify -1 into -1 5.140 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.140 * [taylor]: Taking taylor expansion of N in N 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.140 * [taylor]: Taking taylor expansion of 1.0 in N 5.140 * [backup-simplify]: Simplify 1.0 into 1.0 5.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.140 * [taylor]: Taking taylor expansion of N in N 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.141 * [backup-simplify]: Simplify (/ 1 1) into 1 5.141 * [backup-simplify]: Simplify (- 1) into -1 5.141 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.141 * [backup-simplify]: Simplify (* 0 -1) into 0 5.142 * [backup-simplify]: Simplify (* -1 0) into 0 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (- 0) into 0 5.143 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.143 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.143 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.144 * [backup-simplify]: Simplify (sqrt 1) into 1 5.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.144 * [backup-simplify]: Simplify (- 0) into 0 5.145 * [backup-simplify]: Simplify (+ 0 0) into 0 5.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.148 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.149 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.149 * [backup-simplify]: Simplify (log 1) into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 5.155 * [backup-simplify]: Simplify -0.5 into -0.5 5.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (- 0) into 0 5.156 * [backup-simplify]: Simplify (+ 0 0) into 0 5.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 5.162 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 5.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.178 * [backup-simplify]: Simplify -0.25 into -0.25 5.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (- 0) into 0 5.180 * [backup-simplify]: Simplify (+ 0 0) into 0 5.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 5.183 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 5.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 5.221 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 5.221 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 5.222 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.222 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 5.222 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 N) N))) into (log (sqrt (/ (+ N 1.0) N))) 5.222 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 5.222 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.222 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.222 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.222 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.222 * [taylor]: Taking taylor expansion of N in N 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [taylor]: Taking taylor expansion of 1.0 in N 5.222 * [backup-simplify]: Simplify 1.0 into 1.0 5.222 * [taylor]: Taking taylor expansion of N in N 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.223 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.224 * [backup-simplify]: Simplify (sqrt 0) into 0 5.225 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.226 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.226 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.226 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.226 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.226 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.226 * [taylor]: Taking taylor expansion of N in N 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 1 into 1 5.226 * [taylor]: Taking taylor expansion of 1.0 in N 5.226 * [backup-simplify]: Simplify 1.0 into 1.0 5.226 * [taylor]: Taking taylor expansion of N in N 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 1 into 1 5.227 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.227 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.228 * [backup-simplify]: Simplify (sqrt 0) into 0 5.229 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.229 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.230 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.230 * [backup-simplify]: Simplify (+ 1 0) into 1 5.231 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.233 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.237 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.249 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.250 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.250 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 5.250 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 5.250 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.250 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.250 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.250 * [taylor]: Taking taylor expansion of N in N 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 1 into 1 5.250 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.250 * [taylor]: Taking taylor expansion of N in N 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 1 into 1 5.250 * [backup-simplify]: Simplify (/ 1 1) into 1 5.251 * [taylor]: Taking taylor expansion of 1.0 in N 5.251 * [backup-simplify]: Simplify 1.0 into 1.0 5.251 * [backup-simplify]: Simplify (+ 1 0) into 1 5.251 * [backup-simplify]: Simplify (* 0 1) into 0 5.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.253 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.253 * [backup-simplify]: Simplify (sqrt 1) into 1 5.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.254 * [backup-simplify]: Simplify (+ 0 0) into 0 5.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.257 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.257 * [backup-simplify]: Simplify (log 1) into 0 5.257 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.257 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.257 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.257 * [taylor]: Taking taylor expansion of N in N 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 1 into 1 5.257 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.257 * [taylor]: Taking taylor expansion of N in N 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (/ 1 1) into 1 5.258 * [taylor]: Taking taylor expansion of 1.0 in N 5.258 * [backup-simplify]: Simplify 1.0 into 1.0 5.258 * [backup-simplify]: Simplify (+ 1 0) into 1 5.258 * [backup-simplify]: Simplify (* 0 1) into 0 5.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.259 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.260 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.260 * [backup-simplify]: Simplify (sqrt 1) into 1 5.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (+ 0 0) into 0 5.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.263 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.263 * [backup-simplify]: Simplify (log 1) into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 5.267 * [backup-simplify]: Simplify 0.5 into 0.5 5.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (+ 0 0) into 0 5.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 5.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.279 * [backup-simplify]: Simplify -0.25 into -0.25 5.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (+ 0 0) into 0 5.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 5.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 5.298 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 5.298 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 5.298 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.299 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 5.299 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 5.299 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.299 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.299 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.299 * [taylor]: Taking taylor expansion of -1 in N 5.299 * [backup-simplify]: Simplify -1 into -1 5.299 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.299 * [taylor]: Taking taylor expansion of N in N 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.299 * [taylor]: Taking taylor expansion of 1.0 in N 5.299 * [backup-simplify]: Simplify 1.0 into 1.0 5.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.299 * [taylor]: Taking taylor expansion of N in N 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [backup-simplify]: Simplify (- 1) into -1 5.300 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.300 * [backup-simplify]: Simplify (* 0 -1) into 0 5.300 * [backup-simplify]: Simplify (* -1 0) into 0 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (- 0) into 0 5.301 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.302 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.302 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.303 * [backup-simplify]: Simplify (sqrt 1) into 1 5.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.304 * [backup-simplify]: Simplify (- 0) into 0 5.308 * [backup-simplify]: Simplify (+ 0 0) into 0 5.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.312 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.313 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.313 * [backup-simplify]: Simplify (log 1) into 0 5.313 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.313 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.313 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.313 * [taylor]: Taking taylor expansion of -1 in N 5.313 * [backup-simplify]: Simplify -1 into -1 5.313 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.313 * [taylor]: Taking taylor expansion of N in N 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify 1 into 1 5.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.313 * [taylor]: Taking taylor expansion of 1.0 in N 5.313 * [backup-simplify]: Simplify 1.0 into 1.0 5.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.313 * [taylor]: Taking taylor expansion of N in N 5.313 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [backup-simplify]: Simplify (/ 1 1) into 1 5.314 * [backup-simplify]: Simplify (- 1) into -1 5.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.315 * [backup-simplify]: Simplify (* 0 -1) into 0 5.315 * [backup-simplify]: Simplify (* -1 0) into 0 5.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.316 * [backup-simplify]: Simplify (- 0) into 0 5.316 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.316 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.317 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.317 * [backup-simplify]: Simplify (sqrt 1) into 1 5.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.318 * [backup-simplify]: Simplify (- 0) into 0 5.318 * [backup-simplify]: Simplify (+ 0 0) into 0 5.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.321 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.322 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.323 * [backup-simplify]: Simplify (log 1) into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 5.327 * [backup-simplify]: Simplify -0.5 into -0.5 5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.327 * [backup-simplify]: Simplify (- 0) into 0 5.328 * [backup-simplify]: Simplify (+ 0 0) into 0 5.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.329 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 5.331 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 5.341 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.341 * [backup-simplify]: Simplify -0.25 into -0.25 5.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.342 * [backup-simplify]: Simplify (- 0) into 0 5.343 * [backup-simplify]: Simplify (+ 0 0) into 0 5.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 5.344 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 5.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 5.362 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 5.362 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 5.362 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.362 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 5.362 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 N) N))) into (log (sqrt (/ (+ N 1.0) N))) 5.362 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 5.362 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.362 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.363 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.363 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.363 * [taylor]: Taking taylor expansion of N in N 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 1 into 1 5.363 * [taylor]: Taking taylor expansion of 1.0 in N 5.363 * [backup-simplify]: Simplify 1.0 into 1.0 5.363 * [taylor]: Taking taylor expansion of N in N 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 1 into 1 5.363 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.363 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.363 * [backup-simplify]: Simplify (sqrt 0) into 0 5.364 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.365 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.365 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.365 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.365 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.365 * [taylor]: Taking taylor expansion of N in N 5.365 * [backup-simplify]: Simplify 0 into 0 5.365 * [backup-simplify]: Simplify 1 into 1 5.365 * [taylor]: Taking taylor expansion of 1.0 in N 5.365 * [backup-simplify]: Simplify 1.0 into 1.0 5.365 * [taylor]: Taking taylor expansion of N in N 5.365 * [backup-simplify]: Simplify 0 into 0 5.365 * [backup-simplify]: Simplify 1 into 1 5.365 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.365 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.366 * [backup-simplify]: Simplify (sqrt 0) into 0 5.366 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.367 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.367 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.367 * [backup-simplify]: Simplify (+ 1 0) into 1 5.368 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.370 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.374 * [backup-simplify]: Simplify (+ 0 0) into 0 5.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.385 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.385 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 5.385 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 5.385 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.385 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.385 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.385 * [taylor]: Taking taylor expansion of N in N 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.385 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.385 * [taylor]: Taking taylor expansion of N in N 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ 1 1) into 1 5.386 * [taylor]: Taking taylor expansion of 1.0 in N 5.386 * [backup-simplify]: Simplify 1.0 into 1.0 5.386 * [backup-simplify]: Simplify (+ 1 0) into 1 5.386 * [backup-simplify]: Simplify (* 0 1) into 0 5.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.387 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.387 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.388 * [backup-simplify]: Simplify (sqrt 1) into 1 5.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (+ 0 0) into 0 5.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.391 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.391 * [backup-simplify]: Simplify (log 1) into 0 5.391 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.391 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.391 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.391 * [taylor]: Taking taylor expansion of N in N 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify 1 into 1 5.391 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.391 * [taylor]: Taking taylor expansion of N in N 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify 1 into 1 5.392 * [backup-simplify]: Simplify (/ 1 1) into 1 5.392 * [taylor]: Taking taylor expansion of 1.0 in N 5.392 * [backup-simplify]: Simplify 1.0 into 1.0 5.392 * [backup-simplify]: Simplify (+ 1 0) into 1 5.392 * [backup-simplify]: Simplify (* 0 1) into 0 5.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.393 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.393 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.393 * [backup-simplify]: Simplify (sqrt 1) into 1 5.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (+ 0 0) into 0 5.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.404 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.405 * [backup-simplify]: Simplify (log 1) into 0 5.405 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 5.412 * [backup-simplify]: Simplify 0.5 into 0.5 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (+ 0 0) into 0 5.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 5.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.431 * [backup-simplify]: Simplify -0.25 into -0.25 5.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.432 * [backup-simplify]: Simplify (+ 0 0) into 0 5.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 5.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 5.452 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 5.453 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 5.453 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.453 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 5.453 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 5.453 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.453 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.453 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.453 * [taylor]: Taking taylor expansion of -1 in N 5.453 * [backup-simplify]: Simplify -1 into -1 5.453 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.453 * [taylor]: Taking taylor expansion of N in N 5.453 * [backup-simplify]: Simplify 0 into 0 5.453 * [backup-simplify]: Simplify 1 into 1 5.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.453 * [taylor]: Taking taylor expansion of 1.0 in N 5.453 * [backup-simplify]: Simplify 1.0 into 1.0 5.453 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.453 * [taylor]: Taking taylor expansion of N in N 5.453 * [backup-simplify]: Simplify 0 into 0 5.453 * [backup-simplify]: Simplify 1 into 1 5.454 * [backup-simplify]: Simplify (/ 1 1) into 1 5.454 * [backup-simplify]: Simplify (- 1) into -1 5.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.455 * [backup-simplify]: Simplify (* 0 -1) into 0 5.455 * [backup-simplify]: Simplify (* -1 0) into 0 5.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.456 * [backup-simplify]: Simplify (- 0) into 0 5.456 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.456 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.457 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.457 * [backup-simplify]: Simplify (sqrt 1) into 1 5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (- 0) into 0 5.458 * [backup-simplify]: Simplify (+ 0 0) into 0 5.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.463 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.465 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.466 * [backup-simplify]: Simplify (log 1) into 0 5.466 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.466 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.466 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.466 * [taylor]: Taking taylor expansion of -1 in N 5.466 * [backup-simplify]: Simplify -1 into -1 5.466 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.466 * [taylor]: Taking taylor expansion of N in N 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.466 * [taylor]: Taking taylor expansion of 1.0 in N 5.466 * [backup-simplify]: Simplify 1.0 into 1.0 5.466 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.467 * [taylor]: Taking taylor expansion of N in N 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ 1 1) into 1 5.467 * [backup-simplify]: Simplify (- 1) into -1 5.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.468 * [backup-simplify]: Simplify (* 0 -1) into 0 5.469 * [backup-simplify]: Simplify (* -1 0) into 0 5.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (- 0) into 0 5.470 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.471 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.472 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.472 * [backup-simplify]: Simplify (sqrt 1) into 1 5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.473 * [backup-simplify]: Simplify (- 0) into 0 5.474 * [backup-simplify]: Simplify (+ 0 0) into 0 5.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.479 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.481 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.481 * [backup-simplify]: Simplify (log 1) into 0 5.482 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 5.488 * [backup-simplify]: Simplify -0.5 into -0.5 5.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.490 * [backup-simplify]: Simplify (- 0) into 0 5.490 * [backup-simplify]: Simplify (+ 0 0) into 0 5.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 5.496 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 5.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.513 * [backup-simplify]: Simplify -0.25 into -0.25 5.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.514 * [backup-simplify]: Simplify (- 0) into 0 5.514 * [backup-simplify]: Simplify (+ 0 0) into 0 5.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 5.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 5.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 5.554 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 5.554 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 5.555 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.555 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 5.555 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 N) N))) into (log (sqrt (/ (+ N 1.0) N))) 5.555 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 5.555 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.555 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.555 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.555 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.555 * [taylor]: Taking taylor expansion of N in N 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 1 into 1 5.555 * [taylor]: Taking taylor expansion of 1.0 in N 5.555 * [backup-simplify]: Simplify 1.0 into 1.0 5.555 * [taylor]: Taking taylor expansion of N in N 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.556 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.557 * [backup-simplify]: Simplify (sqrt 0) into 0 5.558 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.558 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.558 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 5.559 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 5.559 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.559 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.559 * [taylor]: Taking taylor expansion of N in N 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [taylor]: Taking taylor expansion of 1.0 in N 5.559 * [backup-simplify]: Simplify 1.0 into 1.0 5.559 * [taylor]: Taking taylor expansion of N in N 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.560 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.560 * [backup-simplify]: Simplify (sqrt 0) into 0 5.561 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 5.562 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.562 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.563 * [backup-simplify]: Simplify (+ 1 0) into 1 5.564 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.568 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.585 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.586 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.586 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.586 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 5.586 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 5.586 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.586 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.586 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.586 * [taylor]: Taking taylor expansion of N in N 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.586 * [taylor]: Taking taylor expansion of N in N 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.587 * [backup-simplify]: Simplify (/ 1 1) into 1 5.587 * [taylor]: Taking taylor expansion of 1.0 in N 5.587 * [backup-simplify]: Simplify 1.0 into 1.0 5.587 * [backup-simplify]: Simplify (+ 1 0) into 1 5.587 * [backup-simplify]: Simplify (* 0 1) into 0 5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.588 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.589 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.589 * [backup-simplify]: Simplify (sqrt 1) into 1 5.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (+ 0 0) into 0 5.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.592 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.592 * [backup-simplify]: Simplify (log 1) into 0 5.592 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 5.592 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 5.592 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.592 * [taylor]: Taking taylor expansion of N in N 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.593 * [taylor]: Taking taylor expansion of N in N 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (/ 1 1) into 1 5.593 * [taylor]: Taking taylor expansion of 1.0 in N 5.593 * [backup-simplify]: Simplify 1.0 into 1.0 5.593 * [backup-simplify]: Simplify (+ 1 0) into 1 5.593 * [backup-simplify]: Simplify (* 0 1) into 0 5.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.595 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.595 * [backup-simplify]: Simplify (sqrt 1) into 1 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify (+ 0 0) into 0 5.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.598 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 5.598 * [backup-simplify]: Simplify (log 1) into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 5.602 * [backup-simplify]: Simplify 0.5 into 0.5 5.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.604 * [backup-simplify]: Simplify (+ 0 0) into 0 5.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.608 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 5.623 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.623 * [backup-simplify]: Simplify -0.25 into -0.25 5.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 5.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 5.658 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 5.658 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 5.658 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.659 * [backup-simplify]: Simplify (log (sqrt (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 5.659 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 5.659 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.659 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.659 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.659 * [taylor]: Taking taylor expansion of -1 in N 5.659 * [backup-simplify]: Simplify -1 into -1 5.659 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.659 * [taylor]: Taking taylor expansion of N in N 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 1 into 1 5.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.659 * [taylor]: Taking taylor expansion of 1.0 in N 5.659 * [backup-simplify]: Simplify 1.0 into 1.0 5.659 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.659 * [taylor]: Taking taylor expansion of N in N 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (/ 1 1) into 1 5.660 * [backup-simplify]: Simplify (- 1) into -1 5.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.661 * [backup-simplify]: Simplify (* 0 -1) into 0 5.661 * [backup-simplify]: Simplify (* -1 0) into 0 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.662 * [backup-simplify]: Simplify (- 0) into 0 5.663 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.664 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.670 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.671 * [backup-simplify]: Simplify (sqrt 1) into 1 5.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.672 * [backup-simplify]: Simplify (- 0) into 0 5.673 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.678 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.680 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.680 * [backup-simplify]: Simplify (log 1) into 0 5.680 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 5.680 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.680 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.680 * [taylor]: Taking taylor expansion of -1 in N 5.680 * [backup-simplify]: Simplify -1 into -1 5.680 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.680 * [taylor]: Taking taylor expansion of N in N 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.680 * [taylor]: Taking taylor expansion of 1.0 in N 5.680 * [backup-simplify]: Simplify 1.0 into 1.0 5.680 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.680 * [taylor]: Taking taylor expansion of N in N 5.680 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 1 into 1 5.681 * [backup-simplify]: Simplify (/ 1 1) into 1 5.681 * [backup-simplify]: Simplify (- 1) into -1 5.682 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.682 * [backup-simplify]: Simplify (* 0 -1) into 0 5.683 * [backup-simplify]: Simplify (* -1 0) into 0 5.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.684 * [backup-simplify]: Simplify (- 0) into 0 5.685 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.686 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.686 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.687 * [backup-simplify]: Simplify (sqrt 1) into 1 5.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.688 * [backup-simplify]: Simplify (- 0) into 0 5.688 * [backup-simplify]: Simplify (+ 0 0) into 0 5.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.694 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.695 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 5.696 * [backup-simplify]: Simplify (log 1) into 0 5.696 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 5.703 * [backup-simplify]: Simplify -0.5 into -0.5 5.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.704 * [backup-simplify]: Simplify (- 0) into 0 5.704 * [backup-simplify]: Simplify (+ 0 0) into 0 5.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 5.711 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 5.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 5.729 * [backup-simplify]: Simplify -0.25 into -0.25 5.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.731 * [backup-simplify]: Simplify (- 0) into 0 5.731 * [backup-simplify]: Simplify (+ 0 0) into 0 5.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 5.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 5.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 5.771 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0625) 1)) (pow 1 1)))) 6) into -0.16666666666666666 5.772 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 5.773 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 3)) (+ (* -0.25 (pow (/ 1 (- N)) 2)) (* -0.5 (/ 1 (- N))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.773 * * * [progress]: simplifying candidates 5.778 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) 1))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log 1) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt N)) (log (/ (+ 1.0 N) N)) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (sqrt (/ (+ 1.0 N) N)))) (exp (log (sqrt (/ (+ 1.0 N) N)))) (* (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (cbrt (log (sqrt (/ (+ 1.0 N) N))))) (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (* (* (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (log (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) 1))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log 1) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt N)) (log (/ (+ 1.0 N) N)) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (sqrt (/ (+ 1.0 N) N)))) (exp (log (sqrt (/ (+ 1.0 N) N)))) (* (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (cbrt (log (sqrt (/ (+ 1.0 N) N))))) (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (* (* (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (log (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) 1))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt 1)) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log 1) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (+ 1.0 N))) (log (sqrt N)) (log (/ (+ 1.0 N) N)) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (sqrt (/ (+ 1.0 N) N)))) (exp (log (sqrt (/ (+ 1.0 N) N)))) (* (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (cbrt (log (sqrt (/ (+ 1.0 N) N))))) (cbrt (log (sqrt (/ (+ 1.0 N) N)))) (* (* (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (sqrt (log (sqrt (/ (+ 1.0 N) N)))) (log (* (cbrt (sqrt (/ (+ 1.0 N) N))) (cbrt (sqrt (/ (+ 1.0 N) N))))) (log (cbrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))))) (log (sqrt (cbrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (sqrt (/ (+ 1.0 N) N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (log (sqrt (/ (cbrt (+ 1.0 N)) N))) (log (sqrt (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1.0 N)) 1))) (log (sqrt (/ (sqrt (+ 1.0 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1.0 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1.0 N) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt 1)) (log (sqrt 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1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 5.781 * * [simplify]: iteration 0: 110 enodes 5.816 * * [simplify]: iteration 1: 168 enodes 5.874 * * [simplify]: iteration 2: 364 enodes 6.040 * * [simplify]: iteration 3: 1292 enodes 6.445 * * [simplify]: iteration complete: 5001 enodes 6.445 * * [simplify]: Extracting #0: cost 34 inf + 0 6.445 * * [simplify]: Extracting #1: cost 100 inf + 1 6.452 * * [simplify]: Extracting #2: cost 1567 inf + 12 6.459 * * [simplify]: Extracting #3: cost 1596 inf + 1345 6.481 * * [simplify]: Extracting #4: cost 563 inf + 6462 6.492 * * [simplify]: Extracting #5: cost 169 inf + 9124 6.504 * * [simplify]: Extracting #6: cost 25 inf + 10271 6.514 * * [simplify]: Extracting #7: cost 0 inf + 10453 6.521 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (fabs (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (fabs (cbrt (+ N 1.0)))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (/ (sqrt (+ N 1.0)) (cbrt N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (sqrt (+ N 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N)))) (- (/ 0.5 N) (* (/ 1 (* N N)) (- 0.25 (/ 0.16666666666666666 N)))) (- (log +nan.0) (* +nan.0 (- N (* N N)))) (- (/ 0.5 N) (* (/ 1 (* N N)) (- 0.25 (/ 0.16666666666666666 N)))) (- (/ 0.5 N) (* (/ 1 (* N N)) (- 0.25 (/ 0.16666666666666666 N)))) (- (log +nan.0) (* +nan.0 (- N (* N N)))) (- (/ 0.5 N) (* (/ 1 (* N N)) (- 0.25 (/ 0.16666666666666666 N)))) (- (/ 0.5 N) (* (/ 1 (* N N)) (- 0.25 (/ 0.16666666666666666 N)))) (- (log +nan.0) (* +nan.0 (- N (* N N)))) (- (/ 0.5 N) (* (/ 1 (* N N)) (- 0.25 (/ 0.16666666666666666 N)))) (- (/ 0.5 N) (* (/ 1 (* N N)) (- 0.25 (/ 0.16666666666666666 N)))) 6.523 * * * [progress]: adding candidates to table 7.300 * [progress]: [Phase 3 of 3] Extracting. 7.300 * * [regime]: Finding splitpoints for: (# # #) 7.301 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.301 * * * * [regimes]: Trying to branch on N from (# # #) 7.344 * * * [regime]: Found split indices: #