23.570 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.056 * * [simplify]: iteration 0: 6 enodes 0.057 * * [simplify]: iteration 1: 9 enodes 0.058 * * [simplify]: iteration 2: 10 enodes 0.059 * * [simplify]: iteration complete: 10 enodes 0.059 * * [simplify]: Extracting #0: cost 1 inf + 0 0.059 * * [simplify]: Extracting #1: cost 4 inf + 0 0.059 * * [simplify]: Extracting #2: cost 6 inf + 0 0.059 * * [simplify]: Extracting #3: cost 6 inf + 1 0.059 * * [simplify]: Extracting #4: cost 0 inf + 560 0.059 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.060 * * [progress]: iteration 1 / 4 0.060 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.076 * * * [progress]: generating rewritten candidates 0.076 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.080 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.091 * * * [progress]: generating series expansions 0.091 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.091 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.091 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.091 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [backup-simplify]: Simplify 1.0 into 1.0 0.092 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.092 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.092 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.092 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.093 * [backup-simplify]: Simplify 1.0 into 1.0 0.106 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.107 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.107 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.111 * [backup-simplify]: Simplify 1.0 into 1.0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [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)) 0.119 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.120 * [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)))) 0.120 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.120 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.120 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of 1.0 in N 0.120 * [backup-simplify]: Simplify 1.0 into 1.0 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (log 1) into 0 0.121 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.123 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.132 * [backup-simplify]: Simplify 1.0 into 1.0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [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 0.147 * [backup-simplify]: Simplify -0.5 into -0.5 0.147 * [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)))) 0.148 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.148 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (- 1) into -1 0.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.150 * [backup-simplify]: Simplify (log -1) into (log -1) 0.150 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.150 * [taylor]: Taking taylor expansion of 1.0 in N 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify (- 1) into -1 0.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.152 * [backup-simplify]: Simplify (log -1) into (log -1) 0.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.153 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.162 * [backup-simplify]: Simplify -1.0 into -1.0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [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 0.175 * [backup-simplify]: Simplify -0.5 into -0.5 0.176 * [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)))) 0.176 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.176 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.177 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.177 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.177 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.178 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.178 * [taylor]: Taking taylor expansion of (log N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (log 1) into 0 0.178 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.178 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.179 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.179 * [taylor]: Taking taylor expansion of (log N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (log 1) into 0 0.180 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.180 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.181 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.182 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.182 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [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)) 0.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.203 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.206 * [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))) 0.206 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.206 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.207 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.207 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.207 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (log 1) into 0 0.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.209 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.209 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [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 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.231 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [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 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [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 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.259 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.262 * [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)))) 0.263 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.263 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.263 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.263 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.263 * [taylor]: Taking taylor expansion of 1.0 in N 0.263 * [backup-simplify]: Simplify 1.0 into 1.0 0.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (- 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.265 * [backup-simplify]: Simplify (log -1) into (log -1) 0.265 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.265 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.265 * [taylor]: Taking taylor expansion of -1 in N 0.265 * [backup-simplify]: Simplify -1 into -1 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ -1 1) into -1 0.266 * [backup-simplify]: Simplify (log -1) into (log -1) 0.266 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.266 * [taylor]: Taking taylor expansion of 1.0 in N 0.266 * [backup-simplify]: Simplify 1.0 into 1.0 0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (- 1) into -1 0.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.268 * [backup-simplify]: Simplify (log -1) into (log -1) 0.268 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.268 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.268 * [taylor]: Taking taylor expansion of -1 in N 0.268 * [backup-simplify]: Simplify -1 into -1 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ -1 1) into -1 0.269 * [backup-simplify]: Simplify (log -1) into (log -1) 0.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.271 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.272 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.272 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.281 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [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 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.293 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [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 0.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [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 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.309 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.310 * [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)))) 0.310 * * * [progress]: simplifying candidates 0.311 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.311 * * [simplify]: iteration 0: 101 enodes 0.329 * * [simplify]: iteration 1: 213 enodes 0.389 * * [simplify]: iteration 2: 645 enodes 0.744 * * [simplify]: iteration 3: 2789 enodes 1.378 * * [simplify]: iteration complete: 5000 enodes 1.378 * * [simplify]: Extracting #0: cost 39 inf + 0 1.379 * * [simplify]: Extracting #1: cost 226 inf + 1 1.382 * * [simplify]: Extracting #2: cost 1205 inf + 2218 1.392 * * [simplify]: Extracting #3: cost 1055 inf + 66032 1.433 * * [simplify]: Extracting #4: cost 281 inf + 165283 1.469 * * [simplify]: Extracting #5: cost 84 inf + 204729 1.514 * * [simplify]: Extracting #6: cost 48 inf + 215212 1.562 * * [simplify]: Extracting #7: cost 11 inf + 221055 1.629 * * [simplify]: Extracting #8: cost 0 inf + 223838 1.666 * [simplify]: Simplified to: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (* (* N N) N) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ 1.0 N)) (log N))) (* (log (+ 1.0 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))) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (- (log (+ 1.0 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* N 1.0)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (- (+ (log 1.0) (* N 1.0)) (+ (log N) (* (/ N 1.0) (* (/ N 1.0) 1/2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) 1.668 * * * [progress]: adding candidates to table 1.873 * * [progress]: iteration 2 / 4 1.873 * * * [progress]: picking best candidate 1.885 * * * * [pick]: Picked # 1.885 * * * [progress]: localizing error 1.893 * * * [progress]: generating rewritten candidates 1.893 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.899 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.920 * * * [progress]: generating series expansions 1.920 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.921 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.921 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.921 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.921 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.921 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.921 * [taylor]: Taking taylor expansion of N in N 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of 1.0 in N 1.921 * [backup-simplify]: Simplify 1.0 into 1.0 1.921 * [taylor]: Taking taylor expansion of N in N 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.922 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.922 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.922 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.922 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.922 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.922 * [taylor]: Taking taylor expansion of N in N 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [taylor]: Taking taylor expansion of 1.0 in N 1.922 * [backup-simplify]: Simplify 1.0 into 1.0 1.922 * [taylor]: Taking taylor expansion of N in N 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.923 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.923 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.924 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.924 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.924 * [backup-simplify]: Simplify (+ 1 0) into 1 1.925 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.928 * [backup-simplify]: Simplify 1.0 into 1.0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.938 * [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)) 1.938 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.939 * [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))) 1.940 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.940 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.940 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.940 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.940 * [taylor]: Taking taylor expansion of N in N 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.940 * [taylor]: Taking taylor expansion of N in N 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [taylor]: Taking taylor expansion of 1.0 in N 1.940 * [backup-simplify]: Simplify 1.0 into 1.0 1.940 * [backup-simplify]: Simplify (+ 1 0) into 1 1.941 * [backup-simplify]: Simplify (* 0 1) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.942 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.942 * [backup-simplify]: Simplify (log 1) into 0 1.942 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.942 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.942 * [taylor]: Taking taylor expansion of N in N 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.942 * [taylor]: Taking taylor expansion of N in N 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ 1 1) into 1 1.943 * [taylor]: Taking taylor expansion of 1.0 in N 1.943 * [backup-simplify]: Simplify 1.0 into 1.0 1.943 * [backup-simplify]: Simplify (+ 1 0) into 1 1.943 * [backup-simplify]: Simplify (* 0 1) into 0 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.944 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.945 * [backup-simplify]: Simplify (log 1) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.954 * [backup-simplify]: Simplify 1.0 into 1.0 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.969 * [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 1.970 * [backup-simplify]: Simplify -0.5 into -0.5 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.982 * [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 1.982 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.982 * [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)))) 1.982 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.982 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.982 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.982 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.982 * [taylor]: Taking taylor expansion of -1 in N 1.982 * [backup-simplify]: Simplify -1 into -1 1.982 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.982 * [taylor]: Taking taylor expansion of N in N 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.983 * [taylor]: Taking taylor expansion of 1.0 in N 1.983 * [backup-simplify]: Simplify 1.0 into 1.0 1.983 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.983 * [taylor]: Taking taylor expansion of N in N 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [backup-simplify]: Simplify (- 1) into -1 1.983 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.984 * [backup-simplify]: Simplify (* 0 -1) into 0 1.984 * [backup-simplify]: Simplify (* -1 0) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.985 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.986 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.986 * [backup-simplify]: Simplify (log 1) into 0 1.986 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.986 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.986 * [taylor]: Taking taylor expansion of -1 in N 1.986 * [backup-simplify]: Simplify -1 into -1 1.986 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.986 * [taylor]: Taking taylor expansion of N in N 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.986 * [taylor]: Taking taylor expansion of 1.0 in N 1.986 * [backup-simplify]: Simplify 1.0 into 1.0 1.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.986 * [taylor]: Taking taylor expansion of N in N 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (/ 1 1) into 1 1.987 * [backup-simplify]: Simplify (- 1) into -1 1.987 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.987 * [backup-simplify]: Simplify (* 0 -1) into 0 1.987 * [backup-simplify]: Simplify (* -1 0) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.989 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.989 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.989 * [backup-simplify]: Simplify (log 1) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.993 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.998 * [backup-simplify]: Simplify -1.0 into -1.0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.010 * [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 2.010 * [backup-simplify]: Simplify -0.5 into -0.5 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.015 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.026 * [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 2.026 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.027 * [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)))) 2.027 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.027 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.027 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.027 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.027 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.027 * [taylor]: Taking taylor expansion of N in N 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [taylor]: Taking taylor expansion of 1.0 in N 2.027 * [backup-simplify]: Simplify 1.0 into 1.0 2.027 * [taylor]: Taking taylor expansion of N in N 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.028 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.028 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.028 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.028 * [taylor]: Taking taylor expansion of N in N 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of 1.0 in N 2.028 * [backup-simplify]: Simplify 1.0 into 1.0 2.028 * [taylor]: Taking taylor expansion of N in N 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.028 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.028 * [backup-simplify]: Simplify 1.0 into 1.0 2.029 * [backup-simplify]: Simplify (+ 1 0) into 1 2.029 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.029 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.040 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.040 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.040 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.040 * [taylor]: Taking taylor expansion of N in N 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.040 * [taylor]: Taking taylor expansion of N in N 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (/ 1 1) into 1 2.040 * [taylor]: Taking taylor expansion of 1.0 in N 2.040 * [backup-simplify]: Simplify 1.0 into 1.0 2.040 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.040 * [taylor]: Taking taylor expansion of N in N 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.040 * [taylor]: Taking taylor expansion of N in N 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (/ 1 1) into 1 2.040 * [taylor]: Taking taylor expansion of 1.0 in N 2.040 * [backup-simplify]: Simplify 1.0 into 1.0 2.041 * [backup-simplify]: Simplify (+ 1 0) into 1 2.041 * [backup-simplify]: Simplify (* 0 1) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.042 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.042 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.045 * [backup-simplify]: Simplify 1.0 into 1.0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.060 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.061 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.061 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.061 * [taylor]: Taking taylor expansion of -1 in N 2.061 * [backup-simplify]: Simplify -1 into -1 2.061 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.061 * [taylor]: Taking taylor expansion of N in N 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.061 * [taylor]: Taking taylor expansion of 1.0 in N 2.061 * [backup-simplify]: Simplify 1.0 into 1.0 2.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.061 * [taylor]: Taking taylor expansion of N in N 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (/ 1 1) into 1 2.061 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.061 * [taylor]: Taking taylor expansion of -1 in N 2.061 * [backup-simplify]: Simplify -1 into -1 2.061 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.062 * [taylor]: Taking taylor expansion of N in N 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.062 * [taylor]: Taking taylor expansion of 1.0 in N 2.062 * [backup-simplify]: Simplify 1.0 into 1.0 2.062 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.062 * [taylor]: Taking taylor expansion of N in N 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.063 * [backup-simplify]: Simplify (- 1) into -1 2.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.064 * [backup-simplify]: Simplify (* 0 -1) into 0 2.064 * [backup-simplify]: Simplify (* -1 0) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.067 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.067 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.067 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.074 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.075 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (- 0) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (- 0) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.085 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (- 0) into 0 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (- 0) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (- 0) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.096 * * * [progress]: simplifying candidates 2.097 * [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 (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (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)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.098 * * [simplify]: iteration 0: 108 enodes 2.118 * * [simplify]: iteration 1: 243 enodes 2.201 * * [simplify]: iteration 2: 1007 enodes 2.516 * * [simplify]: iteration complete: 5000 enodes 2.516 * * [simplify]: Extracting #0: cost 63 inf + 0 2.517 * * [simplify]: Extracting #1: cost 545 inf + 2 2.521 * * [simplify]: Extracting #2: cost 1691 inf + 1267 2.532 * * [simplify]: Extracting #3: cost 2395 inf + 34043 2.575 * * [simplify]: Extracting #4: cost 591 inf + 255943 2.627 * * [simplify]: Extracting #5: cost 15 inf + 348084 2.704 * * [simplify]: Extracting #6: cost 0 inf + 351512 2.809 * * [simplify]: Extracting #7: cost 0 inf + 351072 2.890 * * [simplify]: Extracting #8: cost 0 inf + 350992 2.952 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (+ (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N))))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (+ (- (log (cbrt N))) (- (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))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ 1.0 N)) (- N) (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N)))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* N N) (* 1.0 (- 1.0 N)))) (* (- N 1.0) N) (- (+ (log 1.0) (- (* N 1.0) (log N))) (* 1/2 (* (/ N 1.0) (/ N 1.0)))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 2.954 * * * [progress]: adding candidates to table 3.202 * * [progress]: iteration 3 / 4 3.202 * * * [progress]: picking best candidate 3.231 * * * * [pick]: Picked # 3.231 * * * [progress]: localizing error 3.269 * * * [progress]: generating rewritten candidates 3.269 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.280 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.291 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.300 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.312 * * * [progress]: generating series expansions 3.312 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.312 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.312 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.312 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.312 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.312 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.312 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.312 * [taylor]: Taking taylor expansion of N in N 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [taylor]: Taking taylor expansion of 1.0 in N 3.312 * [backup-simplify]: Simplify 1.0 into 1.0 3.312 * [taylor]: Taking taylor expansion of N in N 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.313 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.314 * [backup-simplify]: Simplify (sqrt 0) into 0 3.315 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.315 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.315 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.315 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.315 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.315 * [taylor]: Taking taylor expansion of (+ 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 1.0 in N 3.315 * [backup-simplify]: Simplify 1.0 into 1.0 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 (+ 0 1.0) into 1.0 3.316 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.316 * [backup-simplify]: Simplify (sqrt 0) into 0 3.317 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.317 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.317 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.318 * [backup-simplify]: Simplify (+ 1 0) into 1 3.318 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.320 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.337 * [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 3.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.337 * [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))))) 3.338 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.338 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.338 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.338 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.338 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.338 * [taylor]: Taking taylor expansion of N in N 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.338 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.338 * [taylor]: Taking taylor expansion of N in N 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (/ 1 1) into 1 3.338 * [taylor]: Taking taylor expansion of 1.0 in N 3.338 * [backup-simplify]: Simplify 1.0 into 1.0 3.338 * [backup-simplify]: Simplify (+ 1 0) into 1 3.339 * [backup-simplify]: Simplify (* 0 1) into 0 3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.340 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.340 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.340 * [backup-simplify]: Simplify (sqrt 1) into 1 3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (+ 0 0) into 0 3.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.344 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.344 * [backup-simplify]: Simplify (log 1) into 0 3.344 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.344 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.344 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.344 * [taylor]: Taking taylor expansion of N in N 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.344 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.344 * [taylor]: Taking taylor expansion of N in N 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (/ 1 1) into 1 3.345 * [taylor]: Taking taylor expansion of 1.0 in N 3.345 * [backup-simplify]: Simplify 1.0 into 1.0 3.345 * [backup-simplify]: Simplify (+ 1 0) into 1 3.345 * [backup-simplify]: Simplify (* 0 1) into 0 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.346 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) 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 0) into 0 3.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.350 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.350 * [backup-simplify]: Simplify (log 1) into 0 3.350 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.358 * [backup-simplify]: Simplify 0.5 into 0.5 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.359 * [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 (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.369 * [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 3.370 * [backup-simplify]: Simplify -0.25 into -0.25 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.396 * [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 3.396 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.396 * [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)))) 3.396 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.396 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.397 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.397 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.397 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.397 * [taylor]: Taking taylor expansion of -1 in N 3.397 * [backup-simplify]: Simplify -1 into -1 3.397 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.397 * [taylor]: Taking taylor expansion of N in N 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.397 * [taylor]: Taking taylor expansion of 1.0 in N 3.397 * [backup-simplify]: Simplify 1.0 into 1.0 3.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.397 * [taylor]: Taking taylor expansion of N in N 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [backup-simplify]: Simplify (/ 1 1) into 1 3.398 * [backup-simplify]: Simplify (- 1) into -1 3.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.399 * [backup-simplify]: Simplify (* 0 -1) into 0 3.399 * [backup-simplify]: Simplify (* -1 0) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (- 0) into 0 3.401 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.402 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.403 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.403 * [backup-simplify]: Simplify (sqrt 1) into 1 3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (- 0) into 0 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.410 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.411 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.412 * [backup-simplify]: Simplify (log 1) into 0 3.412 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.412 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.412 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.412 * [taylor]: Taking taylor expansion of -1 in N 3.412 * [backup-simplify]: Simplify -1 into -1 3.412 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.412 * [taylor]: Taking taylor expansion of N in N 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.412 * [taylor]: Taking taylor expansion of 1.0 in N 3.412 * [backup-simplify]: Simplify 1.0 into 1.0 3.412 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.412 * [taylor]: Taking taylor expansion of N in N 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (/ 1 1) into 1 3.413 * [backup-simplify]: Simplify (- 1) into -1 3.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.414 * [backup-simplify]: Simplify (* 0 -1) into 0 3.414 * [backup-simplify]: Simplify (* -1 0) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (- 0) into 0 3.416 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.417 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.417 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.418 * [backup-simplify]: Simplify (sqrt 1) into 1 3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (- 0) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.424 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.426 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.426 * [backup-simplify]: Simplify (log 1) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.433 * [backup-simplify]: Simplify -0.5 into -0.5 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.437 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.440 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.454 * [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 3.455 * [backup-simplify]: Simplify -0.25 into -0.25 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (- 0) into 0 3.456 * [backup-simplify]: Simplify (+ 0 0) into 0 3.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.459 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.495 * [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 3.495 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.495 * [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)))) 3.495 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.496 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 3.496 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 3.496 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.496 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.496 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.496 * [taylor]: Taking taylor expansion of N in N 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [taylor]: Taking taylor expansion of 1.0 in N 3.496 * [backup-simplify]: Simplify 1.0 into 1.0 3.496 * [taylor]: Taking taylor expansion of N in N 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.496 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.497 * [backup-simplify]: Simplify (sqrt 0) into 0 3.497 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.498 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.498 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 3.498 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.498 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.498 * [taylor]: Taking taylor expansion of N in N 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [taylor]: Taking taylor expansion of 1.0 in N 3.498 * [backup-simplify]: Simplify 1.0 into 1.0 3.498 * [taylor]: Taking taylor expansion of N in N 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.499 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.499 * [backup-simplify]: Simplify (sqrt 0) into 0 3.500 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.500 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.500 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.500 * [backup-simplify]: Simplify (+ 1 0) into 1 3.501 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.503 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.507 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.508 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.520 * [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 3.520 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.520 * [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))))) 3.520 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 3.520 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 3.520 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.520 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.520 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.520 * [taylor]: Taking taylor expansion of N in N 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.520 * [taylor]: Taking taylor expansion of N in N 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.521 * [backup-simplify]: Simplify (/ 1 1) into 1 3.521 * [taylor]: Taking taylor expansion of 1.0 in N 3.521 * [backup-simplify]: Simplify 1.0 into 1.0 3.521 * [backup-simplify]: Simplify (+ 1 0) into 1 3.521 * [backup-simplify]: Simplify (* 0 1) into 0 3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.522 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.523 * [backup-simplify]: Simplify (sqrt 1) into 1 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.526 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.527 * [backup-simplify]: Simplify (log 1) into 0 3.527 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 3.527 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.527 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.527 * [taylor]: Taking taylor expansion of N in N 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.527 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.527 * [taylor]: Taking taylor expansion of N in N 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [taylor]: Taking taylor expansion of 1.0 in N 3.527 * [backup-simplify]: Simplify 1.0 into 1.0 3.528 * [backup-simplify]: Simplify (+ 1 0) into 1 3.528 * [backup-simplify]: Simplify (* 0 1) into 0 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.530 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.530 * [backup-simplify]: Simplify (sqrt 1) into 1 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.536 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.536 * [backup-simplify]: Simplify (log 1) into 0 3.536 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 3.544 * [backup-simplify]: Simplify 0.5 into 0.5 3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.545 * [backup-simplify]: Simplify (+ 0 0) into 0 3.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.566 * [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 3.566 * [backup-simplify]: Simplify -0.25 into -0.25 3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 3.602 * [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 3.602 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 3.603 * [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)))) 3.603 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 3.603 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 3.603 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.603 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.603 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.603 * [taylor]: Taking taylor expansion of -1 in N 3.603 * [backup-simplify]: Simplify -1 into -1 3.603 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.604 * [taylor]: Taking taylor expansion of N in N 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.604 * [taylor]: Taking taylor expansion of 1.0 in N 3.604 * [backup-simplify]: Simplify 1.0 into 1.0 3.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.604 * [taylor]: Taking taylor expansion of N in N 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (/ 1 1) into 1 3.605 * [backup-simplify]: Simplify (- 1) into -1 3.605 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.605 * [backup-simplify]: Simplify (* 0 -1) into 0 3.606 * [backup-simplify]: Simplify (* -1 0) into 0 3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (- 0) into 0 3.607 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.608 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.609 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.609 * [backup-simplify]: Simplify (sqrt 1) into 1 3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (- 0) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.622 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.623 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.624 * [backup-simplify]: Simplify (log 1) into 0 3.624 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 3.624 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.624 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.624 * [taylor]: Taking taylor expansion of -1 in N 3.624 * [backup-simplify]: Simplify -1 into -1 3.624 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.624 * [taylor]: Taking taylor expansion of N in N 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 1 into 1 3.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.624 * [taylor]: Taking taylor expansion of 1.0 in N 3.624 * [backup-simplify]: Simplify 1.0 into 1.0 3.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.624 * [taylor]: Taking taylor expansion of N in N 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 1 into 1 3.625 * [backup-simplify]: Simplify (/ 1 1) into 1 3.625 * [backup-simplify]: Simplify (- 1) into -1 3.625 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.626 * [backup-simplify]: Simplify (* 0 -1) into 0 3.626 * [backup-simplify]: Simplify (* -1 0) into 0 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.627 * [backup-simplify]: Simplify (- 0) into 0 3.628 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.629 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.629 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.630 * [backup-simplify]: Simplify (sqrt 1) into 1 3.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (- 0) into 0 3.631 * [backup-simplify]: Simplify (+ 0 0) into 0 3.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.635 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.636 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.636 * [backup-simplify]: Simplify (log 1) into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 3.640 * [backup-simplify]: Simplify -0.5 into -0.5 3.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (- 0) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.642 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.644 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.652 * [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 3.652 * [backup-simplify]: Simplify -0.25 into -0.25 3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.653 * [backup-simplify]: Simplify (- 0) into 0 3.653 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.654 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 3.684 * [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 3.684 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.685 * [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)))) 3.685 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.685 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 3.685 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.685 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.685 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.685 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.685 * [taylor]: Taking taylor expansion of N in N 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [taylor]: Taking taylor expansion of 1.0 in N 3.685 * [backup-simplify]: Simplify 1.0 into 1.0 3.685 * [taylor]: Taking taylor expansion of N in N 3.685 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.686 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.687 * [backup-simplify]: Simplify (sqrt 0) into 0 3.688 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.688 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.688 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.688 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.688 * [taylor]: Taking taylor expansion of N in N 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [taylor]: Taking taylor expansion of 1.0 in N 3.689 * [backup-simplify]: Simplify 1.0 into 1.0 3.689 * [taylor]: Taking taylor expansion of N in N 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.690 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.690 * [backup-simplify]: Simplify (sqrt 0) into 0 3.691 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.692 * [backup-simplify]: Simplify (+ 1 0) into 1 3.693 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.696 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.696 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.699 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.700 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 3.700 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 3.700 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.700 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.700 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.700 * [taylor]: Taking taylor expansion of N in N 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.700 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.700 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.700 * [taylor]: Taking taylor expansion of N in N 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.700 * [backup-simplify]: Simplify (/ 1 1) into 1 3.700 * [taylor]: Taking taylor expansion of 1.0 in N 3.700 * [backup-simplify]: Simplify 1.0 into 1.0 3.701 * [backup-simplify]: Simplify (+ 1 0) into 1 3.701 * [backup-simplify]: Simplify (* 0 1) into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.702 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.702 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.703 * [backup-simplify]: Simplify (sqrt 1) into 1 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.706 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.706 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.706 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.706 * [taylor]: Taking taylor expansion of N in N 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.706 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.706 * [taylor]: Taking taylor expansion of N in N 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [backup-simplify]: Simplify (/ 1 1) into 1 3.706 * [taylor]: Taking taylor expansion of 1.0 in N 3.706 * [backup-simplify]: Simplify 1.0 into 1.0 3.706 * [backup-simplify]: Simplify (+ 1 0) into 1 3.707 * [backup-simplify]: Simplify (* 0 1) into 0 3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.707 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.708 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.708 * [backup-simplify]: Simplify (sqrt 1) into 1 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.711 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify 0.5 into 0.5 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.714 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.714 * [backup-simplify]: Simplify -0.125 into -0.125 3.715 * [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)))) 3.715 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 3.715 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.715 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.715 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.715 * [taylor]: Taking taylor expansion of -1 in N 3.715 * [backup-simplify]: Simplify -1 into -1 3.715 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.715 * [taylor]: Taking taylor expansion of N in N 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.715 * [taylor]: Taking taylor expansion of 1.0 in N 3.715 * [backup-simplify]: Simplify 1.0 into 1.0 3.715 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.715 * [taylor]: Taking taylor expansion of N in N 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify (/ 1 1) into 1 3.715 * [backup-simplify]: Simplify (- 1) into -1 3.716 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.716 * [backup-simplify]: Simplify (* 0 -1) into 0 3.716 * [backup-simplify]: Simplify (* -1 0) into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (- 0) into 0 3.717 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.718 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.718 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.718 * [backup-simplify]: Simplify (sqrt 1) into 1 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (- 0) into 0 3.719 * [backup-simplify]: Simplify (+ 0 0) into 0 3.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.722 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.723 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.723 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.723 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.723 * [taylor]: Taking taylor expansion of -1 in N 3.723 * [backup-simplify]: Simplify -1 into -1 3.723 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.723 * [taylor]: Taking taylor expansion of N in N 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.723 * [taylor]: Taking taylor expansion of 1.0 in N 3.723 * [backup-simplify]: Simplify 1.0 into 1.0 3.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.723 * [taylor]: Taking taylor expansion of N in N 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.724 * [backup-simplify]: Simplify (- 1) into -1 3.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.730 * [backup-simplify]: Simplify (* 0 -1) into 0 3.731 * [backup-simplify]: Simplify (* -1 0) into 0 3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (- 0) into 0 3.732 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.733 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.734 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.734 * [backup-simplify]: Simplify (sqrt 1) into 1 3.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (- 0) into 0 3.736 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.741 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.742 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.742 * [backup-simplify]: Simplify 1 into 1 3.743 * [backup-simplify]: Simplify -0.5 into -0.5 3.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (- 0) into 0 3.744 * [backup-simplify]: Simplify (+ 0 0) into 0 3.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.750 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.750 * [backup-simplify]: Simplify -0.125 into -0.125 3.750 * [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)))) 3.750 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.751 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 3.751 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 3.751 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.751 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.751 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.751 * [taylor]: Taking taylor expansion of N in N 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [taylor]: Taking taylor expansion of 1.0 in N 3.751 * [backup-simplify]: Simplify 1.0 into 1.0 3.751 * [taylor]: Taking taylor expansion of N in N 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.752 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.753 * [backup-simplify]: Simplify (sqrt 0) into 0 3.754 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.754 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 3.754 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.754 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.754 * [taylor]: Taking taylor expansion of N in N 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [taylor]: Taking taylor expansion of 1.0 in N 3.754 * [backup-simplify]: Simplify 1.0 into 1.0 3.754 * [taylor]: Taking taylor expansion of N in N 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.755 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.755 * [backup-simplify]: Simplify (sqrt 0) into 0 3.757 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.757 * [backup-simplify]: Simplify (+ 1 0) into 1 3.758 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.761 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.761 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.766 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.767 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 3.767 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 3.767 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.767 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.767 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.767 * [taylor]: Taking taylor expansion of N in N 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.767 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.767 * [taylor]: Taking taylor expansion of N in N 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [taylor]: Taking taylor expansion of 1.0 in N 3.768 * [backup-simplify]: Simplify 1.0 into 1.0 3.768 * [backup-simplify]: Simplify (+ 1 0) into 1 3.769 * [backup-simplify]: Simplify (* 0 1) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.771 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.771 * [backup-simplify]: Simplify (sqrt 1) into 1 3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.772 * [backup-simplify]: Simplify (+ 0 0) into 0 3.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.776 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.776 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 3.776 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.776 * [taylor]: Taking taylor expansion of N in N 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.777 * [taylor]: Taking taylor expansion of N in N 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (/ 1 1) into 1 3.777 * [taylor]: Taking taylor expansion of 1.0 in N 3.777 * [backup-simplify]: Simplify 1.0 into 1.0 3.777 * [backup-simplify]: Simplify (+ 1 0) into 1 3.778 * [backup-simplify]: Simplify (* 0 1) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.780 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.780 * [backup-simplify]: Simplify (sqrt 1) into 1 3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify (+ 0 0) into 0 3.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.785 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 3.786 * [backup-simplify]: Simplify 1 into 1 3.786 * [backup-simplify]: Simplify 0.5 into 0.5 3.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 3.792 * [backup-simplify]: Simplify -0.125 into -0.125 3.792 * [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)))) 3.792 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 3.793 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.793 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.793 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.793 * [taylor]: Taking taylor expansion of -1 in N 3.793 * [backup-simplify]: Simplify -1 into -1 3.793 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.793 * [taylor]: Taking taylor expansion of N in N 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.793 * [taylor]: Taking taylor expansion of 1.0 in N 3.793 * [backup-simplify]: Simplify 1.0 into 1.0 3.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.793 * [taylor]: Taking taylor expansion of N in N 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [backup-simplify]: Simplify (/ 1 1) into 1 3.794 * [backup-simplify]: Simplify (- 1) into -1 3.794 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.795 * [backup-simplify]: Simplify (* 0 -1) into 0 3.795 * [backup-simplify]: Simplify (* -1 0) into 0 3.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (- 0) into 0 3.797 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.798 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.798 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.799 * [backup-simplify]: Simplify (sqrt 1) into 1 3.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (- 0) into 0 3.800 * [backup-simplify]: Simplify (+ 0 0) into 0 3.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.805 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.807 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.807 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.807 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.807 * [taylor]: Taking taylor expansion of -1 in N 3.807 * [backup-simplify]: Simplify -1 into -1 3.807 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.807 * [taylor]: Taking taylor expansion of N in N 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.807 * [taylor]: Taking taylor expansion of 1.0 in N 3.808 * [backup-simplify]: Simplify 1.0 into 1.0 3.808 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.808 * [taylor]: Taking taylor expansion of N in N 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (/ 1 1) into 1 3.808 * [backup-simplify]: Simplify (- 1) into -1 3.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.809 * [backup-simplify]: Simplify (* 0 -1) into 0 3.810 * [backup-simplify]: Simplify (* -1 0) into 0 3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (- 0) into 0 3.811 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.812 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.813 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.813 * [backup-simplify]: Simplify (sqrt 1) into 1 3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify (+ 0 0) into 0 3.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.817 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.818 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify -0.5 into -0.5 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (- 0) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.821 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.822 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 3.822 * [backup-simplify]: Simplify -0.125 into -0.125 3.823 * [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)))) 3.823 * * * [progress]: simplifying candidates 3.825 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (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 (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (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 (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (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 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (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 (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (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 (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (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 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) 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)))) 3.826 * * [simplify]: iteration 0: 123 enodes 3.851 * * [simplify]: iteration 1: 202 enodes 3.929 * * [simplify]: iteration 2: 474 enodes 4.147 * * [simplify]: iteration 3: 1644 enodes 4.704 * * [simplify]: iteration complete: 5001 enodes 4.704 * * [simplify]: Extracting #0: cost 63 inf + 0 4.705 * * [simplify]: Extracting #1: cost 221 inf + 3 4.709 * * [simplify]: Extracting #2: cost 1821 inf + 160 4.728 * * [simplify]: Extracting #3: cost 1334 inf + 50855 4.770 * * [simplify]: Extracting #4: cost 270 inf + 181470 4.826 * * [simplify]: Extracting #5: cost 45 inf + 226914 4.877 * * [simplify]: Extracting #6: cost 10 inf + 232934 4.955 * * [simplify]: Extracting #7: cost 0 inf + 235884 5.030 * [simplify]: Simplified to: (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (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)) (/ (sqrt N) (cbrt (+ N 1.0)))))) (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 1.0)))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (log (sqrt (/ (+ N 1.0) N))) (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (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)) (/ (sqrt N) (cbrt (+ N 1.0)))))) (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 1.0)))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (log (sqrt (/ (+ N 1.0) N))) (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (/ (+ N 1.0) N) (sqrt (/ (+ N 1.0) N))) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (/ (sqrt N) (cbrt (+ N 1.0))))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (/ (sqrt (+ N 1.0)) (cbrt N)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (/ (+ N 1.0) N) (sqrt (/ (+ N 1.0) N))) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (/ (sqrt N) (cbrt (+ N 1.0))))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (/ (sqrt (+ N 1.0)) (cbrt N)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) 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)))) (- (* +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))) 5.049 * * * [progress]: adding candidates to table 5.748 * * [progress]: iteration 4 / 4 5.748 * * * [progress]: picking best candidate 5.781 * * * * [pick]: Picked # 5.781 * * * [progress]: localizing error 5.849 * * * [progress]: generating rewritten candidates 5.849 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 5.861 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.869 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.874 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 5.889 * * * [progress]: generating series expansions 5.889 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 5.889 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ N 1.0) N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 5.889 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 5.889 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 5.889 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 5.889 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 5.889 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 5.889 * [taylor]: Taking taylor expansion of 1/4 in N 5.889 * [backup-simplify]: Simplify 1/4 into 1/4 5.889 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.889 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.889 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.889 * [taylor]: Taking taylor expansion of N in N 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 1 into 1 5.889 * [taylor]: Taking taylor expansion of 1.0 in N 5.889 * [backup-simplify]: Simplify 1.0 into 1.0 5.889 * [taylor]: Taking taylor expansion of N in N 5.889 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.891 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.891 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.891 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.892 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 5.892 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 5.893 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 5.893 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 5.893 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 5.893 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 5.893 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 5.893 * [taylor]: Taking taylor expansion of 1/4 in N 5.893 * [backup-simplify]: Simplify 1/4 into 1/4 5.893 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.893 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.893 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.893 * [taylor]: Taking taylor expansion of N in N 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify 1 into 1 5.893 * [taylor]: Taking taylor expansion of 1.0 in N 5.893 * [backup-simplify]: Simplify 1.0 into 1.0 5.893 * [taylor]: Taking taylor expansion of N in N 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify 1 into 1 5.893 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.894 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.894 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.895 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.895 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 5.895 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 5.896 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 5.896 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 5.896 * [backup-simplify]: Simplify (+ 1 0) into 1 5.897 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.901 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.901 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 5.903 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 5.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 5.904 * [backup-simplify]: Simplify 0.25 into 0.25 5.904 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.911 * [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)) 5.912 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.914 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 5.920 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 5.923 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 5.924 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 5.926 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 5.926 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 5.926 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 5.926 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 5.926 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 5.926 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 5.926 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 5.926 * [taylor]: Taking taylor expansion of 1/4 in N 5.926 * [backup-simplify]: Simplify 1/4 into 1/4 5.926 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.926 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.926 * [taylor]: Taking taylor expansion of N in N 5.926 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 1 into 1 5.927 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.927 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.927 * [taylor]: Taking taylor expansion of N in N 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 1 into 1 5.927 * [backup-simplify]: Simplify (/ 1 1) into 1 5.927 * [taylor]: Taking taylor expansion of 1.0 in N 5.927 * [backup-simplify]: Simplify 1.0 into 1.0 5.927 * [backup-simplify]: Simplify (+ 1 0) into 1 5.928 * [backup-simplify]: Simplify (* 0 1) into 0 5.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.929 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.930 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.930 * [backup-simplify]: Simplify (log 1) into 0 5.930 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.931 * [backup-simplify]: Simplify (+ 0 0) into 0 5.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.941 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 5.941 * [backup-simplify]: Simplify (exp 0) into 1 5.941 * [backup-simplify]: Simplify (log 1) into 0 5.942 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 5.942 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 5.942 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 5.942 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 5.942 * [taylor]: Taking taylor expansion of 1/4 in N 5.942 * [backup-simplify]: Simplify 1/4 into 1/4 5.942 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.942 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.942 * [taylor]: Taking taylor expansion of N in N 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.942 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.942 * [taylor]: Taking taylor expansion of N in N 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.942 * [backup-simplify]: Simplify (/ 1 1) into 1 5.942 * [taylor]: Taking taylor expansion of 1.0 in N 5.942 * [backup-simplify]: Simplify 1.0 into 1.0 5.943 * [backup-simplify]: Simplify (+ 1 0) into 1 5.943 * [backup-simplify]: Simplify (* 0 1) into 0 5.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.944 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.945 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.945 * [backup-simplify]: Simplify (log 1) into 0 5.946 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (+ 0 0) into 0 5.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.962 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 5.962 * [backup-simplify]: Simplify (exp 0) into 1 5.962 * [backup-simplify]: Simplify (log 1) into 0 5.963 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 5.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 5.969 * [backup-simplify]: Simplify 0.25 into 0.25 5.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.970 * [backup-simplify]: Simplify (+ 0 0) into 0 5.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.977 * [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 5.979 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 5.984 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 5.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 5.993 * [backup-simplify]: Simplify -0.125 into -0.125 5.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.994 * [backup-simplify]: Simplify (+ 0 0) into 0 5.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.007 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 6.009 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 6.018 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 6.033 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 6.033 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 6.034 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 6.034 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) 6.034 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 6.034 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.034 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.034 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.034 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.034 * [taylor]: Taking taylor expansion of -1 in N 6.034 * [backup-simplify]: Simplify -1 into -1 6.034 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.034 * [taylor]: Taking taylor expansion of N in N 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.034 * [taylor]: Taking taylor expansion of 1.0 in N 6.034 * [backup-simplify]: Simplify 1.0 into 1.0 6.034 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.034 * [taylor]: Taking taylor expansion of N in N 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (/ 1 1) into 1 6.035 * [backup-simplify]: Simplify (- 1) into -1 6.035 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.035 * [backup-simplify]: Simplify (* 0 -1) into 0 6.035 * [backup-simplify]: Simplify (* -1 0) into 0 6.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.036 * [backup-simplify]: Simplify (- 0) into 0 6.036 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.037 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.037 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.038 * [backup-simplify]: Simplify (sqrt 1) into 1 6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.038 * [backup-simplify]: Simplify (- 0) into 0 6.039 * [backup-simplify]: Simplify (+ 0 0) into 0 6.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.042 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.043 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.043 * [backup-simplify]: Simplify (sqrt 1) into 1 6.048 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.049 * [backup-simplify]: Simplify (log 1) into 0 6.049 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.049 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.049 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.049 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.049 * [taylor]: Taking taylor expansion of -1 in N 6.049 * [backup-simplify]: Simplify -1 into -1 6.049 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.049 * [taylor]: Taking taylor expansion of N in N 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 1 into 1 6.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.049 * [taylor]: Taking taylor expansion of 1.0 in N 6.049 * [backup-simplify]: Simplify 1.0 into 1.0 6.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.049 * [taylor]: Taking taylor expansion of N in N 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 1 into 1 6.049 * [backup-simplify]: Simplify (/ 1 1) into 1 6.050 * [backup-simplify]: Simplify (- 1) into -1 6.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.050 * [backup-simplify]: Simplify (* 0 -1) into 0 6.050 * [backup-simplify]: Simplify (* -1 0) into 0 6.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (- 0) into 0 6.051 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.052 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.052 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.052 * [backup-simplify]: Simplify (sqrt 1) into 1 6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (- 0) into 0 6.054 * [backup-simplify]: Simplify (+ 0 0) into 0 6.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.059 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.061 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.061 * [backup-simplify]: Simplify (sqrt 1) into 1 6.063 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.063 * [backup-simplify]: Simplify (log 1) into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.25) 1)) (pow 1 1)))) 1) into -0.25 6.070 * [backup-simplify]: Simplify -0.25 into -0.25 6.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.072 * [backup-simplify]: Simplify (- 0) into 0 6.072 * [backup-simplify]: Simplify (+ 0 0) into 0 6.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.078 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.081 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 6.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 6.095 * [backup-simplify]: Simplify -0.125 into -0.125 6.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.096 * [backup-simplify]: Simplify (- 0) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.100 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 6.109 * [backup-simplify]: Simplify (/ (- -0.0625 (+ (* 2 (* -0.25 -0.09375)))) (* 2 1)) into -0.0546875 6.130 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0546875) 1)) (pow 1 1)))) 6) into -0.08333333333333333 6.130 * [backup-simplify]: Simplify -0.08333333333333333 into -0.08333333333333333 6.130 * [backup-simplify]: Simplify (+ (* -0.08333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.125 (pow (/ 1 (- N)) 2)) (* -0.25 (/ 1 (- N))))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 6.130 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.130 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ N 1.0) N)))) into (log (pow (/ (+ N 1.0) N) 1/4)) 6.130 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in (N) around 0 6.130 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 6.130 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.130 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.130 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.130 * [taylor]: Taking taylor expansion of 1/4 in N 6.131 * [backup-simplify]: Simplify 1/4 into 1/4 6.131 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.131 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.131 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.131 * [taylor]: Taking taylor expansion of N in N 6.131 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify 1 into 1 6.131 * [taylor]: Taking taylor expansion of 1.0 in N 6.131 * [backup-simplify]: Simplify 1.0 into 1.0 6.131 * [taylor]: Taking taylor expansion of N in N 6.131 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify 1 into 1 6.131 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.131 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.132 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.132 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.132 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.133 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.133 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 6.133 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/4)) in N 6.133 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.133 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.133 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.133 * [taylor]: Taking taylor expansion of 1/4 in N 6.133 * [backup-simplify]: Simplify 1/4 into 1/4 6.133 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.133 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.133 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.133 * [taylor]: Taking taylor expansion of N in N 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 1 into 1 6.133 * [taylor]: Taking taylor expansion of 1.0 in N 6.133 * [backup-simplify]: Simplify 1.0 into 1.0 6.133 * [taylor]: Taking taylor expansion of N in N 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 1 into 1 6.134 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.134 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.134 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.135 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.135 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.135 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.136 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log 1.0) (log N))))) into (* 1/4 (- (log 1.0) (log N))) 6.136 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.136 * [backup-simplify]: Simplify (+ 1 0) into 1 6.137 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.141 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 6.143 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 6.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 1) into 0.25 6.143 * [backup-simplify]: Simplify 0.25 into 0.25 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.152 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 6.158 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 6.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (exp (* 1/4 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/4 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/8 (pow 1.0 2)) 6.168 * [backup-simplify]: Simplify (/ -1/8 (pow 1.0 2)) into (/ -1/8 (pow 1.0 2)) 6.170 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow 1.0 2)) (pow N 2)) (+ (* 0.25 N) (* 1/4 (- (log 1.0) (log N))))) into (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) 6.170 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) 6.170 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in (N) around 0 6.170 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 6.170 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.170 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.171 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.171 * [taylor]: Taking taylor expansion of 1/4 in N 6.171 * [backup-simplify]: Simplify 1/4 into 1/4 6.171 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.171 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.171 * [taylor]: Taking taylor expansion of N in N 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.171 * [taylor]: Taking taylor expansion of N in N 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [backup-simplify]: Simplify (/ 1 1) into 1 6.171 * [taylor]: Taking taylor expansion of 1.0 in N 6.171 * [backup-simplify]: Simplify 1.0 into 1.0 6.172 * [backup-simplify]: Simplify (+ 1 0) into 1 6.172 * [backup-simplify]: Simplify (* 0 1) into 0 6.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.174 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.174 * [backup-simplify]: Simplify (log 1) into 0 6.175 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (+ 0 0) into 0 6.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.187 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.187 * [backup-simplify]: Simplify (exp 0) into 1 6.188 * [backup-simplify]: Simplify (log 1) into 0 6.188 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/4)) in N 6.188 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.188 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.188 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.188 * [taylor]: Taking taylor expansion of 1/4 in N 6.188 * [backup-simplify]: Simplify 1/4 into 1/4 6.188 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.188 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.188 * [taylor]: Taking taylor expansion of N in N 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 1 into 1 6.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.188 * [taylor]: Taking taylor expansion of N in N 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 1 into 1 6.189 * [backup-simplify]: Simplify (/ 1 1) into 1 6.189 * [taylor]: Taking taylor expansion of 1.0 in N 6.189 * [backup-simplify]: Simplify 1.0 into 1.0 6.189 * [backup-simplify]: Simplify (+ 1 0) into 1 6.190 * [backup-simplify]: Simplify (* 0 1) into 0 6.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.191 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.192 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.192 * [backup-simplify]: Simplify (log 1) into 0 6.192 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.194 * [backup-simplify]: Simplify (+ 0 0) into 0 6.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.204 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.204 * [backup-simplify]: Simplify (exp 0) into 1 6.204 * [backup-simplify]: Simplify (log 1) into 0 6.204 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 6.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.25) 1)) (pow 1 1)))) 1) into 0.25 6.214 * [backup-simplify]: Simplify 0.25 into 0.25 6.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.215 * [backup-simplify]: Simplify (+ 0 0) into 0 6.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.226 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 6.230 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 6.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 6.238 * [backup-simplify]: Simplify -0.125 into -0.125 6.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (+ 0 0) into 0 6.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.249 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 6.252 * [backup-simplify]: Simplify (+ (* 1/4 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.08333333333333333 6.265 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 3) 6)) (* (/ (pow 0.25 1) 1) (/ (pow (- 0.125) 1) 1)) (* (/ (pow 0.08333333333333333 1) 1)))) into 0.0546875 6.283 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0546875) 1)) (pow 1 1)))) 6) into 0.08333333333333333 6.284 * [backup-simplify]: Simplify 0.08333333333333333 into 0.08333333333333333 6.284 * [backup-simplify]: Simplify (+ (* 0.08333333333333333 (pow (/ 1 N) 3)) (+ (* -0.125 (pow (/ 1 N) 2)) (* 0.25 (/ 1 N)))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 6.284 * [backup-simplify]: Simplify (log (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) 6.284 * [approximate]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 6.284 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.284 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.284 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.284 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.284 * [taylor]: Taking taylor expansion of -1 in N 6.284 * [backup-simplify]: Simplify -1 into -1 6.284 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.284 * [taylor]: Taking taylor expansion of N in N 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify 1 into 1 6.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.284 * [taylor]: Taking taylor expansion of 1.0 in N 6.284 * [backup-simplify]: Simplify 1.0 into 1.0 6.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.284 * [taylor]: Taking taylor expansion of N in N 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify 1 into 1 6.285 * [backup-simplify]: Simplify (/ 1 1) into 1 6.285 * [backup-simplify]: Simplify (- 1) into -1 6.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.285 * [backup-simplify]: Simplify (* 0 -1) into 0 6.286 * [backup-simplify]: Simplify (* -1 0) into 0 6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (- 0) into 0 6.287 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.287 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.288 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.288 * [backup-simplify]: Simplify (sqrt 1) into 1 6.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.289 * [backup-simplify]: Simplify (- 0) into 0 6.289 * [backup-simplify]: Simplify (+ 0 0) into 0 6.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.293 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.295 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.296 * [backup-simplify]: Simplify (sqrt 1) into 1 6.297 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.297 * [backup-simplify]: Simplify (log 1) into 0 6.297 * [taylor]: Taking taylor expansion of (log (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N))))))) in N 6.297 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.297 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.297 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.297 * [taylor]: Taking taylor expansion of -1 in N 6.298 * [backup-simplify]: Simplify -1 into -1 6.298 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.298 * [taylor]: Taking taylor expansion of N in N 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.298 * [taylor]: Taking taylor expansion of 1.0 in N 6.298 * [backup-simplify]: Simplify 1.0 into 1.0 6.298 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.298 * [taylor]: Taking taylor expansion of N in N 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.298 * [backup-simplify]: Simplify (/ 1 1) into 1 6.299 * [backup-simplify]: Simplify (- 1) into -1 6.299 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.300 * [backup-simplify]: Simplify (* 0 -1) into 0 6.300 * [backup-simplify]: Simplify (* -1 0) into 0 6.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.301 * [backup-simplify]: Simplify (- 0) into 0 6.302 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.303 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.303 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.304 * [backup-simplify]: Simplify (sqrt 1) into 1 6.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (- 0) into 0 6.305 * [backup-simplify]: Simplify (+ 0 0) into 0 6.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.310 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.312 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.312 * [backup-simplify]: Simplify (sqrt 1) into 1 6.313 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.314 * [backup-simplify]: Simplify (log 1) into 0 6.314 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.25) 1)) (pow 1 1)))) 1) into -0.25 6.320 * [backup-simplify]: Simplify -0.25 into -0.25 6.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.321 * [backup-simplify]: Simplify (- 0) into 0 6.322 * [backup-simplify]: Simplify (+ 0 0) into 0 6.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.324 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.327 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.330 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 6.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.25) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.09375) 1)) (pow 1 1)))) 2) into -0.125 6.346 * [backup-simplify]: Simplify -0.125 into -0.125 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (- 0) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 6.361 * [backup-simplify]: Simplify (/ (- -0.0625 (+ (* 2 (* -0.25 -0.09375)))) (* 2 1)) into -0.0546875 6.381 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -0.25) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -0.25) 1) (pow (* 2 -0.09375) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -0.0546875) 1)) (pow 1 1)))) 6) into -0.08333333333333333 6.381 * [backup-simplify]: Simplify -0.08333333333333333 into -0.08333333333333333 6.381 * [backup-simplify]: Simplify (+ (* -0.08333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.125 (pow (/ 1 (- N)) 2)) (* -0.25 (/ 1 (- N))))) into (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) 6.381 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.381 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1.0) N))) into (log (sqrt (/ (+ N 1.0) N))) 6.381 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 6.381 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.382 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.382 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.382 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.382 * [taylor]: Taking taylor expansion of N in N 6.382 * [backup-simplify]: Simplify 0 into 0 6.382 * [backup-simplify]: Simplify 1 into 1 6.382 * [taylor]: Taking taylor expansion of 1.0 in N 6.382 * [backup-simplify]: Simplify 1.0 into 1.0 6.382 * [taylor]: Taking taylor expansion of N in N 6.382 * [backup-simplify]: Simplify 0 into 0 6.382 * [backup-simplify]: Simplify 1 into 1 6.382 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.382 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.383 * [backup-simplify]: Simplify (sqrt 0) into 0 6.383 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.384 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.384 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 6.384 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 6.384 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.384 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.384 * [taylor]: Taking taylor expansion of N in N 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.384 * [taylor]: Taking taylor expansion of 1.0 in N 6.384 * [backup-simplify]: Simplify 1.0 into 1.0 6.384 * [taylor]: Taking taylor expansion of N in N 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.384 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.384 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.385 * [backup-simplify]: Simplify (sqrt 0) into 0 6.385 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 6.386 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.386 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.386 * [backup-simplify]: Simplify (+ 1 0) into 1 6.387 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.389 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.392 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.392 * [backup-simplify]: Simplify (+ 0 0) into 0 6.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.410 * [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 6.410 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.410 * [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))))) 6.411 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 6.411 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 6.411 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 6.411 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.411 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.411 * [taylor]: Taking taylor expansion of N in N 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.411 * [taylor]: Taking taylor expansion of N in N 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [backup-simplify]: Simplify (/ 1 1) into 1 6.411 * [taylor]: Taking taylor expansion of 1.0 in N 6.412 * [backup-simplify]: Simplify 1.0 into 1.0 6.412 * [backup-simplify]: Simplify (+ 1 0) into 1 6.412 * [backup-simplify]: Simplify (* 0 1) into 0 6.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.414 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.414 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.415 * [backup-simplify]: Simplify (sqrt 1) into 1 6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (+ 0 0) into 0 6.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.420 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.420 * [backup-simplify]: Simplify (log 1) into 0 6.420 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 6.420 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 6.420 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.420 * [taylor]: Taking taylor expansion of N in N 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify 1 into 1 6.420 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.421 * [taylor]: Taking taylor expansion of N in N 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 1 into 1 6.421 * [backup-simplify]: Simplify (/ 1 1) into 1 6.421 * [taylor]: Taking taylor expansion of 1.0 in N 6.421 * [backup-simplify]: Simplify 1.0 into 1.0 6.421 * [backup-simplify]: Simplify (+ 1 0) into 1 6.422 * [backup-simplify]: Simplify (* 0 1) into 0 6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.423 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.424 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.424 * [backup-simplify]: Simplify (sqrt 1) into 1 6.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.425 * [backup-simplify]: Simplify (+ 0 0) into 0 6.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.429 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.430 * [backup-simplify]: Simplify (log 1) into 0 6.430 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 6.436 * [backup-simplify]: Simplify 0.5 into 0.5 6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.437 * [backup-simplify]: Simplify (+ 0 0) into 0 6.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.440 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 6.448 * [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 6.449 * [backup-simplify]: Simplify -0.25 into -0.25 6.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.449 * [backup-simplify]: Simplify (+ 0 0) into 0 6.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 6.469 * [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 6.469 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 6.470 * [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)))) 6.470 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 6.470 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 6.470 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.470 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.471 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.471 * [taylor]: Taking taylor expansion of -1 in N 6.471 * [backup-simplify]: Simplify -1 into -1 6.471 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.471 * [taylor]: Taking taylor expansion of N in N 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.471 * [taylor]: Taking taylor expansion of 1.0 in N 6.471 * [backup-simplify]: Simplify 1.0 into 1.0 6.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.471 * [taylor]: Taking taylor expansion of N in N 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.472 * [backup-simplify]: Simplify (/ 1 1) into 1 6.472 * [backup-simplify]: Simplify (- 1) into -1 6.473 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.473 * [backup-simplify]: Simplify (* 0 -1) into 0 6.474 * [backup-simplify]: Simplify (* -1 0) into 0 6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (- 0) into 0 6.476 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.477 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.477 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.478 * [backup-simplify]: Simplify (sqrt 1) into 1 6.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.479 * [backup-simplify]: Simplify (- 0) into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.483 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.484 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.484 * [backup-simplify]: Simplify (log 1) into 0 6.484 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.484 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.484 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.484 * [taylor]: Taking taylor expansion of -1 in N 6.484 * [backup-simplify]: Simplify -1 into -1 6.484 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.484 * [taylor]: Taking taylor expansion of N in N 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.484 * [taylor]: Taking taylor expansion of 1.0 in N 6.484 * [backup-simplify]: Simplify 1.0 into 1.0 6.484 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.484 * [taylor]: Taking taylor expansion of N in N 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.485 * [backup-simplify]: Simplify (/ 1 1) into 1 6.485 * [backup-simplify]: Simplify (- 1) into -1 6.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.485 * [backup-simplify]: Simplify (* 0 -1) into 0 6.486 * [backup-simplify]: Simplify (* -1 0) into 0 6.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (- 0) into 0 6.486 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.487 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.487 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.488 * [backup-simplify]: Simplify (sqrt 1) into 1 6.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.488 * [backup-simplify]: Simplify (- 0) into 0 6.489 * [backup-simplify]: Simplify (+ 0 0) into 0 6.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.491 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.492 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.493 * [backup-simplify]: Simplify (log 1) into 0 6.493 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1 1)))) 1) into -0.5 6.496 * [backup-simplify]: Simplify -0.5 into -0.5 6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.497 * [backup-simplify]: Simplify (- 0) into 0 6.497 * [backup-simplify]: Simplify (+ 0 0) into 0 6.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.499 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.505 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.513 * [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 6.513 * [backup-simplify]: Simplify -0.25 into -0.25 6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (- 0) into 0 6.514 * [backup-simplify]: Simplify (+ 0 0) into 0 6.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 6.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 6.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 6.543 * [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 6.543 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 6.543 * [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)))) 6.543 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 6.543 * [backup-simplify]: Simplify (sqrt (sqrt (/ (+ N 1.0) N))) into (pow (/ (+ N 1.0) N) 1/4) 6.543 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in (N) around 0 6.543 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.543 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.543 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.543 * [taylor]: Taking taylor expansion of 1/4 in N 6.543 * [backup-simplify]: Simplify 1/4 into 1/4 6.543 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.543 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.543 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.543 * [taylor]: Taking taylor expansion of N in N 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify 1 into 1 6.543 * [taylor]: Taking taylor expansion of 1.0 in N 6.543 * [backup-simplify]: Simplify 1.0 into 1.0 6.543 * [taylor]: Taking taylor expansion of N in N 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.544 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.544 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.545 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.545 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.545 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.545 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/4) in N 6.545 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ N 1.0) N)))) in N 6.546 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ N 1.0) N))) in N 6.546 * [taylor]: Taking taylor expansion of 1/4 in N 6.546 * [backup-simplify]: Simplify 1/4 into 1/4 6.546 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.546 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.546 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.546 * [taylor]: Taking taylor expansion of N in N 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 1 into 1 6.546 * [taylor]: Taking taylor expansion of 1.0 in N 6.546 * [backup-simplify]: Simplify 1.0 into 1.0 6.546 * [taylor]: Taking taylor expansion of N in N 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 1 into 1 6.546 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.546 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.547 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.547 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.547 * [backup-simplify]: Simplify (* 1/4 (- (log 1.0) (log N))) into (* 1/4 (- (log 1.0) (log N))) 6.548 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.548 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 1.0) (log N)))) into (exp (* 1/4 (- (log 1.0) (log N)))) 6.548 * [backup-simplify]: Simplify (+ 1 0) into 1 6.549 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.552 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.553 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log 1.0) (log N)))) into 0.25 6.554 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 6.555 * [backup-simplify]: Simplify (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) into (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) 6.555 * [backup-simplify]: Simplify (+ 0 0) into 0 6.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.561 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.562 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.564 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 6.570 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 6.572 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) 6.576 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (- (log 1.0) (log N)))) (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.25 (exp (* 1/4 (- (log 1.0) (log N))))) N) (exp (* 1/4 (- (log 1.0) (log N)))))) into (- (+ (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* 0.03125 (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2))) (* 0.25 (* (exp (* 1/4 (- (log 1.0) (log N)))) N)))) (* 1/8 (/ (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 6.576 * [backup-simplify]: Simplify (sqrt (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (* N (+ (/ 1 N) 1.0)) 1/4) 6.576 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in (N) around 0 6.576 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.576 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.576 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.576 * [taylor]: Taking taylor expansion of 1/4 in N 6.576 * [backup-simplify]: Simplify 1/4 into 1/4 6.576 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.576 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.576 * [taylor]: Taking taylor expansion of N in N 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.576 * [taylor]: Taking taylor expansion of N in N 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (/ 1 1) into 1 6.577 * [taylor]: Taking taylor expansion of 1.0 in N 6.577 * [backup-simplify]: Simplify 1.0 into 1.0 6.577 * [backup-simplify]: Simplify (+ 1 0) into 1 6.578 * [backup-simplify]: Simplify (* 0 1) into 0 6.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.579 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.580 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.580 * [backup-simplify]: Simplify (log 1) into 0 6.581 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.582 * [backup-simplify]: Simplify (+ 0 0) into 0 6.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.592 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.592 * [backup-simplify]: Simplify (exp 0) into 1 6.592 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/4) in N 6.592 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* N (+ (/ 1 N) 1.0))))) in N 6.592 * [taylor]: Taking taylor expansion of (* 1/4 (log (* N (+ (/ 1 N) 1.0)))) in N 6.592 * [taylor]: Taking taylor expansion of 1/4 in N 6.592 * [backup-simplify]: Simplify 1/4 into 1/4 6.592 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.592 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.593 * [taylor]: Taking taylor expansion of N in N 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 1 into 1 6.593 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.593 * [taylor]: Taking taylor expansion of N in N 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 1 into 1 6.593 * [backup-simplify]: Simplify (/ 1 1) into 1 6.593 * [taylor]: Taking taylor expansion of 1.0 in N 6.593 * [backup-simplify]: Simplify 1.0 into 1.0 6.594 * [backup-simplify]: Simplify (+ 1 0) into 1 6.594 * [backup-simplify]: Simplify (* 0 1) into 0 6.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.595 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.596 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.596 * [backup-simplify]: Simplify (log 1) into 0 6.597 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.598 * [backup-simplify]: Simplify (+ 0 0) into 0 6.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.608 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 0)) into 0.25 6.609 * [backup-simplify]: Simplify (exp 0) into 1 6.609 * [backup-simplify]: Simplify 1 into 1 6.620 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 1) 1)))) into 0.25 6.620 * [backup-simplify]: Simplify 0.25 into 0.25 6.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.621 * [backup-simplify]: Simplify (+ 0 0) into 0 6.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.635 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.125) 6.643 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into -0.09375 6.643 * [backup-simplify]: Simplify -0.09375 into -0.09375 6.643 * [backup-simplify]: Simplify (+ (* -0.09375 (pow (/ 1 N) 2)) (+ (* 0.25 (/ 1 N)) 1)) into (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 6.644 * [backup-simplify]: Simplify (sqrt (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) 6.644 * [approximate]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 6.644 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.644 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.644 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.644 * [taylor]: Taking taylor expansion of -1 in N 6.644 * [backup-simplify]: Simplify -1 into -1 6.644 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.644 * [taylor]: Taking taylor expansion of N in N 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 1 into 1 6.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.644 * [taylor]: Taking taylor expansion of 1.0 in N 6.644 * [backup-simplify]: Simplify 1.0 into 1.0 6.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.644 * [taylor]: Taking taylor expansion of N in N 6.644 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 1 into 1 6.645 * [backup-simplify]: Simplify (/ 1 1) into 1 6.645 * [backup-simplify]: Simplify (- 1) into -1 6.646 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.646 * [backup-simplify]: Simplify (* 0 -1) into 0 6.647 * [backup-simplify]: Simplify (* -1 0) into 0 6.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.648 * [backup-simplify]: Simplify (- 0) into 0 6.648 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.649 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.650 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.650 * [backup-simplify]: Simplify (sqrt 1) into 1 6.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.651 * [backup-simplify]: Simplify (- 0) into 0 6.652 * [backup-simplify]: Simplify (+ 0 0) into 0 6.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.657 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.660 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.660 * [backup-simplify]: Simplify (sqrt 1) into 1 6.661 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.661 * [taylor]: Taking taylor expansion of (sqrt (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 6.661 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 6.661 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 6.661 * [taylor]: Taking taylor expansion of -1 in N 6.661 * [backup-simplify]: Simplify -1 into -1 6.661 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.662 * [taylor]: Taking taylor expansion of N in N 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.662 * [taylor]: Taking taylor expansion of 1.0 in N 6.662 * [backup-simplify]: Simplify 1.0 into 1.0 6.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.662 * [taylor]: Taking taylor expansion of N in N 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [backup-simplify]: Simplify (/ 1 1) into 1 6.662 * [backup-simplify]: Simplify (- 1) into -1 6.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.663 * [backup-simplify]: Simplify (* 0 -1) into 0 6.664 * [backup-simplify]: Simplify (* -1 0) into 0 6.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.665 * [backup-simplify]: Simplify (- 0) into 0 6.665 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.666 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.667 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.667 * [backup-simplify]: Simplify (sqrt 1) into 1 6.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.668 * [backup-simplify]: Simplify (- 0) into 0 6.669 * [backup-simplify]: Simplify (+ 0 0) into 0 6.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.674 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 6.675 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.676 * [backup-simplify]: Simplify (sqrt 1) into 1 6.677 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 1))) into -0.25 6.677 * [backup-simplify]: Simplify 1 into 1 6.677 * [backup-simplify]: Simplify -0.25 into -0.25 6.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.679 * [backup-simplify]: Simplify (- 0) into 0 6.679 * [backup-simplify]: Simplify (+ 0 0) into 0 6.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 6.687 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.690 * [backup-simplify]: Simplify (/ (- -0.125 (pow -0.25 2) (+)) (* 2 1)) into -0.09375 6.690 * [backup-simplify]: Simplify -0.09375 into -0.09375 6.691 * [backup-simplify]: Simplify (+ (* -0.09375 (pow (/ 1 (- N)) 2)) (+ (* -0.25 (/ 1 (- N))) 1)) into (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 6.691 * * * [progress]: simplifying candidates 6.695 * [simplify]: Simplifying: (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt (sqrt (/ 1 1)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt 1))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt 1)) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log 1) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (exp (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (* (* (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (log (sqrt (sqrt (/ (+ N 1.0) N))))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (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 (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (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 (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (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 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (exp (sqrt (sqrt (/ (+ N 1.0) N)))) (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (* (* (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (sqrt (cbrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (sqrt (sqrt (cbrt (/ (+ N 1.0) N)))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (sqrt (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (sqrt (sqrt (/ (cbrt (+ N 1.0)) N))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) 1))) (sqrt (sqrt (/ (sqrt (+ N 1.0)) N))) (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (sqrt (sqrt (/ (+ N 1.0) (cbrt N)))) (sqrt (sqrt (/ 1 (sqrt N)))) (sqrt (sqrt (/ (+ N 1.0) (sqrt N)))) (sqrt (sqrt (/ 1 1))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (sqrt (sqrt (/ (+ N 1.0) (cbrt N)))) (sqrt (sqrt (/ 1 (sqrt N)))) (sqrt (sqrt (/ (+ N 1.0) (sqrt N)))) (sqrt (sqrt (/ 1 1))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt 1)) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt (/ 1 N))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt 1) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 1/4 (log 1.0)) (* 0.25 N)) (+ (* 1/8 (/ (pow N 2) (pow 1.0 2))) (* 1/4 (log N)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.08333333333333333 (/ 1 (pow N 3))) (* 0.25 (/ 1 N))) (* 0.125 (/ 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)))) (- (+ (exp (* 1/4 (- (log 1.0) (log N)))) (+ (* 0.03125 (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2))) (* 0.25 (* (exp (* 1/4 (- (log 1.0) (log N)))) N)))) (* 1/8 (/ (* (exp (* 1/4 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) (- (+ (* 0.25 (/ 1 N)) 1) (* 0.09375 (/ 1 (pow N 2)))) 6.699 * * [simplify]: iteration 0: 215 enodes 6.759 * * [simplify]: iteration 1: 346 enodes 6.853 * * [simplify]: iteration 2: 803 enodes 7.372 * * [simplify]: iteration 3: 2993 enodes 8.065 * * [simplify]: iteration complete: 5000 enodes 8.066 * * [simplify]: Extracting #0: cost 98 inf + 0 8.066 * * [simplify]: Extracting #1: cost 229 inf + 4 8.072 * * [simplify]: Extracting #2: cost 1658 inf + 6 8.081 * * [simplify]: Extracting #3: cost 2179 inf + 5605 8.098 * * [simplify]: Extracting #4: cost 1168 inf + 95427 8.145 * * [simplify]: Extracting #5: cost 458 inf + 255622 8.229 * * [simplify]: Extracting #6: cost 303 inf + 306227 8.290 * * [simplify]: Extracting #7: cost 85 inf + 422504 8.355 * * [simplify]: Extracting #8: cost 0 inf + 473732 8.440 * [simplify]: Simplified to: (log (* (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (sqrt (/ (+ N 1.0) N)))))) (log (cbrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (fabs (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (fabs (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (cbrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (fabs (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (* (cbrt (+ N 1.0)) (/ (cbrt (+ N 1.0)) (sqrt N)))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))))) (log (sqrt (fabs (cbrt (+ N 1.0))))) (log (sqrt (sqrt (/ (cbrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (sqrt (sqrt (sqrt (+ N 1.0))))) (log (sqrt (sqrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ 1 (* (cbrt N) (cbrt N)))))) (log (sqrt (sqrt (/ (+ N 1.0) (cbrt N))))) (log (sqrt (sqrt (/ 1 (sqrt N))))) (log (sqrt (sqrt (/ (+ N 1.0) (sqrt N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (/ 1 N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) (log (sqrt (sqrt (sqrt (/ (+ N 1.0) N))))) 0 (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (sqrt (/ (+ N 1.0) N))))) (sqrt (sqrt (/ 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(sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (sqrt (sqrt (/ (+ N 1.0) N)))) (+ (* 0.25 N) (+ (* 1/4 (- (log 1.0) (log N))) (* (* (/ N 1.0) (/ N 1.0)) -1/8))) (+ (/ (/ 0.08333333333333333 (* N N)) N) (- (/ 0.25 N) (/ 0.125 (* N N)))) (+ (/ (/ 0.08333333333333333 (* N N)) N) (- (/ 0.25 N) (/ 0.125 (* N N)))) (+ (* 0.25 N) (+ (* 1/4 (- (log 1.0) (log N))) (* (* (/ N 1.0) (/ N 1.0)) -1/8))) (+ (/ (/ 0.08333333333333333 (* N N)) N) (- (/ 0.25 N) (/ 0.125 (* N N)))) (+ (/ (/ 0.08333333333333333 (* N N)) N) (- (/ 0.25 N) (/ 0.125 (* N N)))) (- (log +nan.0) (* (- N (* N N)) +nan.0)) (+ (- (/ 0.5 N) (/ 0.25 (* N N))) (/ (/ 0.16666666666666666 N) (* N N))) (+ (- (/ 0.5 N) (/ 0.25 (* N N))) (/ (/ 0.16666666666666666 N) (* N N))) (+ (+ (/ (* (pow (/ 1.0 N) 1/4) -1/8) (* (/ 1.0 N) (/ 1.0 N))) (pow (/ 1.0 N) 1/4)) (* (pow (/ 1.0 N) 1/4) (+ (* N (* N 0.03125)) (* N 0.25)))) (- (+ 1 (/ 0.25 N)) (/ (/ 0.09375 N) N)) (- (+ 1 (/ 0.25 N)) (/ (/ 0.09375 N) N)) 8.458 * * * [progress]: adding candidates to table 9.428 * [progress]: [Phase 3 of 3] Extracting. 9.428 * * [regime]: Finding splitpoints for: (# # # #) 9.430 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.430 * * * * [regimes]: Trying to branch on N from (# # # #) 9.481 * * * [regime]: Found split indices: #