20.925 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.073 * [progress]: [Phase 2 of 3] Improving. 0.073 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.073 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.073 * * [simplify]: iteration 0: 6 enodes 0.074 * * [simplify]: iteration 1: 11 enodes 0.075 * * [simplify]: iteration 2: 12 enodes 0.076 * * [simplify]: iteration complete: 12 enodes 0.076 * * [simplify]: Extracting #0: cost 1 inf + 0 0.076 * * [simplify]: Extracting #1: cost 4 inf + 0 0.076 * * [simplify]: Extracting #2: cost 6 inf + 0 0.076 * * [simplify]: Extracting #3: cost 4 inf + 183 0.076 * * [simplify]: Extracting #4: cost 0 inf + 560 0.076 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.077 * * [progress]: iteration 1 / 4 0.077 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.099 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.103 * * * [progress]: generating series expansions 0.103 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.103 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.103 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.103 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.103 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [taylor]: Taking taylor expansion of 1 in N 0.103 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (+ 0 1) into 1 0.104 * [backup-simplify]: Simplify (log 1) into 0 0.104 * [taylor]: Taking taylor expansion of (log N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (log 1) into 0 0.105 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.105 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.105 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of 1 in N 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ 0 1) into 1 0.105 * [backup-simplify]: Simplify (log 1) into 0 0.105 * [taylor]: Taking taylor expansion of (log N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (log 1) into 0 0.106 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.106 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.106 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.106 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.107 * [backup-simplify]: Simplify (+ 1 0) into 1 0.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.114 * [backup-simplify]: Simplify -1/2 into -1/2 0.114 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.114 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.114 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.114 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.114 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of 1 in N 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [backup-simplify]: Simplify (log 1) into 0 0.115 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify (log 1) into 0 0.116 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.116 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.116 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of 1 in N 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (log 1) into 0 0.117 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify (log 1) into 0 0.118 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.118 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.118 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.118 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 1) into 1 0.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.128 * [backup-simplify]: Simplify -1/2 into -1/2 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [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 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.148 * [backup-simplify]: Simplify 1/3 into 1/3 0.148 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.148 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.148 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.148 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.148 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.148 * [taylor]: Taking taylor expansion of 1 in N 0.148 * [backup-simplify]: Simplify 1 into 1 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 0.149 * [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 N)) in N 0.150 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.150 * [taylor]: Taking taylor expansion of -1 in N 0.150 * [backup-simplify]: Simplify -1 into -1 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 0.150 * [backup-simplify]: Simplify (/ -1 1) into -1 0.150 * [backup-simplify]: Simplify (log -1) into (log -1) 0.150 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.150 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.150 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.150 * [taylor]: Taking taylor expansion of 1 in N 0.150 * [backup-simplify]: Simplify 1 into 1 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 0.152 * [backup-simplify]: Simplify (- 1) into -1 0.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.152 * [backup-simplify]: Simplify (log -1) into (log -1) 0.152 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.152 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.152 * [taylor]: Taking taylor expansion of -1 in N 0.152 * [backup-simplify]: Simplify -1 into -1 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ -1 1) into -1 0.153 * [backup-simplify]: Simplify (log -1) into (log -1) 0.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.154 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.155 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ -1 0) into -1 0.159 * [backup-simplify]: Simplify -1 into -1 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.165 * [backup-simplify]: Simplify -1/2 into -1/2 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [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 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.173 * [backup-simplify]: Simplify -1/3 into -1/3 0.173 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.173 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.173 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.173 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of 1 in N 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (+ 0 1) into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.174 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of 1 in N 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ 0 1) into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.179 * [backup-simplify]: Simplify -1/2 into -1/2 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.185 * [backup-simplify]: Simplify 1/3 into 1/3 0.185 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.185 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.185 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (log 1) into 0 0.187 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of 1 in N 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.189 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 1) into 1 0.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.196 * [backup-simplify]: Simplify -1/2 into -1/2 0.196 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.196 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.196 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.196 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.196 * [taylor]: Taking taylor expansion of 1 in N 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [backup-simplify]: Simplify (- 1) into -1 0.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.198 * [backup-simplify]: Simplify (log -1) into (log -1) 0.198 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.198 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.198 * [taylor]: Taking taylor expansion of 1 in N 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify (- 1) into -1 0.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.200 * [backup-simplify]: Simplify (log -1) into (log -1) 0.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.201 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.204 * [backup-simplify]: Simplify -1 into -1 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.209 * [backup-simplify]: Simplify -1/2 into -1/2 0.209 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.210 * * * [progress]: simplifying candidates 0.210 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.210 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.211 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.212 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.212 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.213 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.213 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.213 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.213 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.213 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.213 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.213 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.214 * [simplify]: Simplifying: (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.215 * * [simplify]: iteration 0: 97 enodes 0.252 * * [simplify]: iteration 1: 199 enodes 0.342 * * [simplify]: iteration 2: 497 enodes 0.521 * * [simplify]: iteration 3: 1581 enodes 1.464 * * [simplify]: iteration 4: 3992 enodes 2.102 * * [simplify]: iteration complete: 5001 enodes 2.102 * * [simplify]: Extracting #0: cost 41 inf + 0 2.102 * * [simplify]: Extracting #1: cost 227 inf + 1 2.104 * * [simplify]: Extracting #2: cost 626 inf + 230 2.110 * * [simplify]: Extracting #3: cost 690 inf + 16188 2.131 * * [simplify]: Extracting #4: cost 393 inf + 116609 2.169 * * [simplify]: Extracting #5: cost 106 inf + 234439 2.204 * * [simplify]: Extracting #6: cost 20 inf + 250773 2.268 * * [simplify]: Extracting #7: cost 0 inf + 255851 2.310 * [simplify]: Simplified to: (+ (/ 1 N) 1) (log (- (log (+ 1 N)) (log N))) (+ (/ 1 N) 1) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))) (+ (* (+ (log N) (log (+ 1 N))) (log (+ 1 N))) (* (log N) (log N))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log N) (log (+ 1 N))) (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ 1 (* N (* N N)))) (log (+ (- 1 N) (* N N))) (log (+ (* N N) -1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (- (- N (log N)) (* N (* 1/2 N))) (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N)) (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N)) (+ N (* (* N N) (- (* 1/3 N) 1/2))) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) 2.313 * * * [progress]: adding candidates to table 2.484 * * [progress]: iteration 2 / 4 2.485 * * * [progress]: picking best candidate 2.502 * * * * [pick]: Picked # 2.503 * * * [progress]: localizing error 2.518 * * * [progress]: generating rewritten candidates 2.519 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.526 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.555 * * * [progress]: generating series expansions 2.555 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.555 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 2.555 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.555 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.555 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.555 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.555 * [taylor]: Taking taylor expansion of N in N 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 1 into 1 2.555 * [taylor]: Taking taylor expansion of 1 in N 2.555 * [backup-simplify]: Simplify 1 into 1 2.555 * [taylor]: Taking taylor expansion of N in N 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.556 * [backup-simplify]: Simplify (+ 0 1) into 1 2.557 * [backup-simplify]: Simplify (/ 1 1) into 1 2.557 * [backup-simplify]: Simplify (log 1) into 0 2.557 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.557 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.557 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.558 * [taylor]: Taking taylor expansion of N in N 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [taylor]: Taking taylor expansion of 1 in N 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [taylor]: Taking taylor expansion of N in N 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [backup-simplify]: Simplify (+ 0 1) into 1 2.559 * [backup-simplify]: Simplify (/ 1 1) into 1 2.559 * [backup-simplify]: Simplify (log 1) into 0 2.560 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.560 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.561 * [backup-simplify]: Simplify (+ 1 0) into 1 2.562 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.563 * [backup-simplify]: Simplify 1 into 1 2.563 * [backup-simplify]: Simplify (+ 0 0) into 0 2.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.568 * [backup-simplify]: Simplify -1/2 into -1/2 2.569 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.569 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.569 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.569 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.569 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.569 * [taylor]: Taking taylor expansion of N in N 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.569 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.569 * [taylor]: Taking taylor expansion of N in N 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.570 * [backup-simplify]: Simplify (/ 1 1) into 1 2.570 * [taylor]: Taking taylor expansion of 1 in N 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [backup-simplify]: Simplify (+ 1 0) into 1 2.571 * [backup-simplify]: Simplify (* 0 1) into 0 2.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.572 * [backup-simplify]: Simplify (+ 0 1) into 1 2.573 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.574 * [backup-simplify]: Simplify (log 1) into 0 2.574 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.574 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.574 * [taylor]: Taking taylor expansion of N in N 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify 1 into 1 2.574 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.574 * [taylor]: Taking taylor expansion of N in N 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify 1 into 1 2.574 * [backup-simplify]: Simplify (/ 1 1) into 1 2.574 * [taylor]: Taking taylor expansion of 1 in N 2.575 * [backup-simplify]: Simplify 1 into 1 2.575 * [backup-simplify]: Simplify (+ 1 0) into 1 2.575 * [backup-simplify]: Simplify (* 0 1) into 0 2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.577 * [backup-simplify]: Simplify (+ 0 1) into 1 2.577 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.578 * [backup-simplify]: Simplify (log 1) into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.579 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.581 * [backup-simplify]: Simplify 1 into 1 2.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (+ 0 0) into 0 2.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.587 * [backup-simplify]: Simplify -1/2 into -1/2 2.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.588 * [backup-simplify]: Simplify (+ 0 0) into 0 2.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.591 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.592 * [backup-simplify]: Simplify 1/3 into 1/3 2.592 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.592 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.592 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.592 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.592 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.592 * [taylor]: Taking taylor expansion of -1 in N 2.592 * [backup-simplify]: Simplify -1 into -1 2.592 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.592 * [taylor]: Taking taylor expansion of N in N 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.592 * [taylor]: Taking taylor expansion of 1 in N 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.592 * [taylor]: Taking taylor expansion of N in N 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [backup-simplify]: Simplify (/ 1 1) into 1 2.593 * [backup-simplify]: Simplify (- 1) into -1 2.593 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.593 * [backup-simplify]: Simplify (* 0 -1) into 0 2.593 * [backup-simplify]: Simplify (* -1 0) into 0 2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.594 * [backup-simplify]: Simplify (- 0) into 0 2.594 * [backup-simplify]: Simplify (+ 1 0) into 1 2.595 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.595 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.595 * [backup-simplify]: Simplify (log 1) into 0 2.595 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.595 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.596 * [taylor]: Taking taylor expansion of -1 in N 2.596 * [backup-simplify]: Simplify -1 into -1 2.596 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.596 * [taylor]: Taking taylor expansion of N in N 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.596 * [taylor]: Taking taylor expansion of 1 in N 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.596 * [taylor]: Taking taylor expansion of N in N 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify (/ 1 1) into 1 2.596 * [backup-simplify]: Simplify (- 1) into -1 2.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.597 * [backup-simplify]: Simplify (* 0 -1) into 0 2.597 * [backup-simplify]: Simplify (* -1 0) into 0 2.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (- 0) into 0 2.598 * [backup-simplify]: Simplify (+ 1 0) into 1 2.598 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.599 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.599 * [backup-simplify]: Simplify (log 1) into 0 2.599 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (- 0) into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.601 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.602 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.602 * [backup-simplify]: Simplify -1 into -1 2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.603 * [backup-simplify]: Simplify (- 0) into 0 2.603 * [backup-simplify]: Simplify (+ 0 0) into 0 2.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.604 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.606 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.606 * [backup-simplify]: Simplify -1/2 into -1/2 2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.607 * [backup-simplify]: Simplify (- 0) into 0 2.607 * [backup-simplify]: Simplify (+ 0 0) into 0 2.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.614 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 2.614 * [backup-simplify]: Simplify -1/3 into -1/3 2.615 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.615 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.615 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 2.615 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.615 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.615 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.615 * [taylor]: Taking taylor expansion of N in N 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [taylor]: Taking taylor expansion of 1 in N 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [taylor]: Taking taylor expansion of N in N 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (+ 0 1) into 1 2.616 * [backup-simplify]: Simplify (/ 1 1) into 1 2.616 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.616 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.616 * [taylor]: Taking taylor expansion of N in N 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 1 into 1 2.616 * [taylor]: Taking taylor expansion of 1 in N 2.616 * [backup-simplify]: Simplify 1 into 1 2.616 * [taylor]: Taking taylor expansion of N in N 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 1 into 1 2.616 * [backup-simplify]: Simplify (+ 0 1) into 1 2.616 * [backup-simplify]: Simplify (/ 1 1) into 1 2.616 * [backup-simplify]: Simplify 1 into 1 2.617 * [backup-simplify]: Simplify (+ 1 0) into 1 2.618 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify (+ 0 0) into 0 2.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (+ 0 0) into 0 2.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify (+ 0 0) into 0 2.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.625 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify (+ 0 0) into 0 2.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.627 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.627 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.627 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.627 * [taylor]: Taking taylor expansion of N in N 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.627 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.627 * [taylor]: Taking taylor expansion of N in N 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (/ 1 1) into 1 2.628 * [taylor]: Taking taylor expansion of 1 in N 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.628 * [taylor]: Taking taylor expansion of N in N 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.628 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.628 * [taylor]: Taking taylor expansion of N in N 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [backup-simplify]: Simplify (/ 1 1) into 1 2.628 * [taylor]: Taking taylor expansion of 1 in N 2.628 * [backup-simplify]: Simplify 1 into 1 2.629 * [backup-simplify]: Simplify (+ 1 0) into 1 2.629 * [backup-simplify]: Simplify (* 0 1) into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.631 * [backup-simplify]: Simplify (+ 0 1) into 1 2.631 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.631 * [backup-simplify]: Simplify 1 into 1 2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (+ 0 0) into 0 2.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.634 * [backup-simplify]: Simplify 1 into 1 2.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify (+ 0 0) into 0 2.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.636 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.638 * [backup-simplify]: Simplify (+ 0 0) into 0 2.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify (+ 0 0) into 0 2.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.643 * [backup-simplify]: Simplify (+ 0 0) into 0 2.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [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 2.645 * [backup-simplify]: Simplify (+ 0 0) into 0 2.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.647 * [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 2.647 * [backup-simplify]: Simplify (+ 0 0) into 0 2.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 2.648 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 2.648 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 2.649 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.649 * [taylor]: Taking taylor expansion of -1 in N 2.649 * [backup-simplify]: Simplify -1 into -1 2.649 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.649 * [taylor]: Taking taylor expansion of N in N 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.649 * [taylor]: Taking taylor expansion of 1 in N 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.649 * [taylor]: Taking taylor expansion of N in N 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (/ 1 1) into 1 2.649 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.649 * [taylor]: Taking taylor expansion of -1 in N 2.649 * [backup-simplify]: Simplify -1 into -1 2.649 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.649 * [taylor]: Taking taylor expansion of N in N 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.649 * [taylor]: Taking taylor expansion of 1 in N 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.649 * [taylor]: Taking taylor expansion of N in N 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (/ 1 1) into 1 2.650 * [backup-simplify]: Simplify (- 1) into -1 2.650 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.650 * [backup-simplify]: Simplify (* 0 -1) into 0 2.650 * [backup-simplify]: Simplify (* -1 0) into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify (- 0) into 0 2.651 * [backup-simplify]: Simplify (+ 1 0) into 1 2.652 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.652 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.652 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.653 * [backup-simplify]: Simplify (- 0) into 0 2.653 * [backup-simplify]: Simplify (+ 0 0) into 0 2.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.654 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.655 * [backup-simplify]: Simplify -1 into -1 2.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (- 0) into 0 2.656 * [backup-simplify]: Simplify (+ 0 0) into 0 2.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.657 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.658 * [backup-simplify]: Simplify (- 0) into 0 2.658 * [backup-simplify]: Simplify (+ 0 0) into 0 2.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.660 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.660 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (- 0) into 0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 2.663 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (- 0) into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.666 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 2.666 * [backup-simplify]: Simplify 0 into 0 2.667 * [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 2.667 * [backup-simplify]: Simplify (- 0) into 0 2.667 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.670 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [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 2.671 * [backup-simplify]: Simplify (- 0) into 0 2.671 * [backup-simplify]: Simplify (+ 0 0) into 0 2.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 2.674 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 2.674 * * * [progress]: simplifying candidates 2.674 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 2.674 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 2.674 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 2.674 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 2.674 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 2.675 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 2.676 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 2.676 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 2.677 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 2.678 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 2.678 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 2.678 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 2.678 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 2.678 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 2.678 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 2.678 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 2.678 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 2.678 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 2.679 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 2.681 * * [simplify]: iteration 0: 102 enodes 2.711 * * [simplify]: iteration 1: 233 enodes 2.769 * * [simplify]: iteration 2: 633 enodes 3.150 * * [simplify]: iteration 3: 2625 enodes 3.784 * * [simplify]: iteration complete: 5241 enodes 3.784 * * [simplify]: Extracting #0: cost 65 inf + 0 3.786 * * [simplify]: Extracting #1: cost 808 inf + 2 3.790 * * [simplify]: Extracting #2: cost 1904 inf + 1775 3.814 * * [simplify]: Extracting #3: cost 1739 inf + 89647 3.865 * * [simplify]: Extracting #4: cost 513 inf + 346175 3.958 * * [simplify]: Extracting #5: cost 17 inf + 507709 4.039 * * [simplify]: Extracting #6: cost 0 inf + 515037 4.150 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (- 1 N) (* N N))) (* N (+ N -1)) (real->posit16 (/ (+ 1 N) N)) (- (+ N (* -1/2 (* N N))) (log N)) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* (* N N) N))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* (* N N) N))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 4.155 * * * [progress]: adding candidates to table 4.370 * * [progress]: iteration 3 / 4 4.370 * * * [progress]: picking best candidate 4.385 * * * * [pick]: Picked # 4.385 * * * [progress]: localizing error 4.411 * * * [progress]: generating rewritten candidates 4.411 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.426 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.430 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.446 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 4.458 * * * [progress]: generating series expansions 4.458 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.459 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 4.459 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 4.459 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 4.459 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 4.459 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 4.459 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.459 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.459 * [taylor]: Taking taylor expansion of N in N 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify 1 into 1 4.459 * [taylor]: Taking taylor expansion of 1 in N 4.459 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (+ 0 1) into 1 4.460 * [backup-simplify]: Simplify (sqrt 1) into 1 4.461 * [backup-simplify]: Simplify (+ 1 0) into 1 4.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.461 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.461 * [taylor]: Taking taylor expansion of N in N 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 1 into 1 4.461 * [backup-simplify]: Simplify (/ 1 1) into 1 4.462 * [backup-simplify]: Simplify (* 1 1) into 1 4.462 * [backup-simplify]: Simplify (log 1) into 0 4.462 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 4.462 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.462 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.462 * [taylor]: Taking taylor expansion of N in N 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 1 into 1 4.462 * [taylor]: Taking taylor expansion of 1 in N 4.462 * [backup-simplify]: Simplify 1 into 1 4.467 * [backup-simplify]: Simplify (+ 0 1) into 1 4.467 * [backup-simplify]: Simplify (sqrt 1) into 1 4.467 * [backup-simplify]: Simplify (+ 1 0) into 1 4.468 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.468 * [backup-simplify]: Simplify (log 1) into 0 4.468 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 4.468 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 4.468 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 4.468 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.468 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.468 * [taylor]: Taking taylor expansion of N in N 4.468 * [backup-simplify]: Simplify 0 into 0 4.468 * [backup-simplify]: Simplify 1 into 1 4.468 * [taylor]: Taking taylor expansion of 1 in N 4.468 * [backup-simplify]: Simplify 1 into 1 4.469 * [backup-simplify]: Simplify (+ 0 1) into 1 4.469 * [backup-simplify]: Simplify (sqrt 1) into 1 4.469 * [backup-simplify]: Simplify (+ 1 0) into 1 4.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.470 * [taylor]: Taking taylor expansion of N in N 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 1 into 1 4.470 * [backup-simplify]: Simplify (/ 1 1) into 1 4.470 * [backup-simplify]: Simplify (* 1 1) into 1 4.470 * [backup-simplify]: Simplify (log 1) into 0 4.470 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 4.470 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.470 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.470 * [taylor]: Taking taylor expansion of N in N 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 1 into 1 4.470 * [taylor]: Taking taylor expansion of 1 in N 4.470 * [backup-simplify]: Simplify 1 into 1 4.471 * [backup-simplify]: Simplify (+ 0 1) into 1 4.471 * [backup-simplify]: Simplify (sqrt 1) into 1 4.471 * [backup-simplify]: Simplify (+ 1 0) into 1 4.472 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.472 * [backup-simplify]: Simplify (log 1) into 0 4.472 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.472 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 4.472 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 4.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.475 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.475 * [backup-simplify]: Simplify 1 into 1 4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.476 * [backup-simplify]: Simplify (+ 0 0) into 0 4.477 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 4.479 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 4.480 * [backup-simplify]: Simplify (+ 0 0) into 0 4.480 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 4.482 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 4.482 * [backup-simplify]: Simplify -1/2 into -1/2 4.482 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 4.483 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 N) 1)) 1)) (log (/ (sqrt (+ (/ 1 N) 1)) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 4.483 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 4.483 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 4.483 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 4.483 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 4.483 * [taylor]: Taking taylor expansion of N in N 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 1 into 1 4.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.483 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.483 * [taylor]: Taking taylor expansion of N in N 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 1 into 1 4.483 * [backup-simplify]: Simplify (/ 1 1) into 1 4.483 * [taylor]: Taking taylor expansion of 1 in N 4.483 * [backup-simplify]: Simplify 1 into 1 4.483 * [backup-simplify]: Simplify (+ 1 0) into 1 4.484 * [backup-simplify]: Simplify (sqrt 0) into 0 4.485 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.485 * [backup-simplify]: Simplify (* 0 0) into 0 4.486 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify (+ 0 1) into 1 4.488 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.490 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.490 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.490 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 4.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.491 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.491 * [taylor]: Taking taylor expansion of N in N 4.491 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify 1 into 1 4.491 * [backup-simplify]: Simplify (/ 1 1) into 1 4.491 * [taylor]: Taking taylor expansion of 1 in N 4.491 * [backup-simplify]: Simplify 1 into 1 4.491 * [backup-simplify]: Simplify (+ 1 0) into 1 4.491 * [backup-simplify]: Simplify (sqrt 0) into 0 4.492 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.493 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.493 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 4.493 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 4.493 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 4.493 * [taylor]: Taking taylor expansion of N in N 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1 into 1 4.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.493 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.493 * [taylor]: Taking taylor expansion of N in N 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1 into 1 4.493 * [backup-simplify]: Simplify (/ 1 1) into 1 4.493 * [taylor]: Taking taylor expansion of 1 in N 4.493 * [backup-simplify]: Simplify 1 into 1 4.494 * [backup-simplify]: Simplify (+ 1 0) into 1 4.494 * [backup-simplify]: Simplify (sqrt 0) into 0 4.495 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.496 * [backup-simplify]: Simplify (* 0 0) into 0 4.497 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.498 * [backup-simplify]: Simplify (+ 0 1) into 1 4.501 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.504 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.505 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.505 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 4.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.505 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.505 * [taylor]: Taking taylor expansion of N in N 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify 1 into 1 4.505 * [backup-simplify]: Simplify (/ 1 1) into 1 4.505 * [taylor]: Taking taylor expansion of 1 in N 4.505 * [backup-simplify]: Simplify 1 into 1 4.506 * [backup-simplify]: Simplify (+ 1 0) into 1 4.506 * [backup-simplify]: Simplify (sqrt 0) into 0 4.508 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.508 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.510 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 4.511 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 4.512 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 4.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.514 * [backup-simplify]: Simplify (+ 0 0) into 0 4.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.522 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify (+ 0 1) into 1 4.535 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.541 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.542 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.542 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.544 * [backup-simplify]: Simplify (+ 0 0) into 0 4.547 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.549 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 4.559 * [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 4.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.560 * [backup-simplify]: Simplify (+ 0 0) into 0 4.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.571 * [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 4.571 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.576 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.578 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.579 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 (- N)) 1)) 1)) (log (/ (sqrt (+ (/ 1 (- N)) 1)) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 4.579 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 4.579 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 4.579 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 4.579 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.579 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.579 * [taylor]: Taking taylor expansion of 1 in N 4.579 * [backup-simplify]: Simplify 1 into 1 4.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.579 * [taylor]: Taking taylor expansion of N in N 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 1 into 1 4.579 * [backup-simplify]: Simplify (/ 1 1) into 1 4.579 * [backup-simplify]: Simplify (- 1) into -1 4.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.580 * [backup-simplify]: Simplify (sqrt 0) into 0 4.581 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.581 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.581 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 4.581 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 4.581 * [taylor]: Taking taylor expansion of -1 in N 4.581 * [backup-simplify]: Simplify -1 into -1 4.581 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 4.581 * [taylor]: Taking taylor expansion of N in N 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.582 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.582 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.582 * [taylor]: Taking taylor expansion of 1 in N 4.582 * [backup-simplify]: Simplify 1 into 1 4.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.582 * [taylor]: Taking taylor expansion of N in N 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 1 into 1 4.582 * [backup-simplify]: Simplify (/ 1 1) into 1 4.582 * [backup-simplify]: Simplify (- 1) into -1 4.582 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.583 * [backup-simplify]: Simplify (sqrt 0) into 0 4.583 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.584 * [backup-simplify]: Simplify (* 0 0) into 0 4.584 * [backup-simplify]: Simplify (* -1 0) into 0 4.584 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.585 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 4.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.585 * [backup-simplify]: Simplify (- 0) into 0 4.586 * [backup-simplify]: Simplify (+ 1 0) into 1 4.588 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.590 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.592 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 4.593 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.593 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 4.593 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 4.593 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.593 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.593 * [taylor]: Taking taylor expansion of 1 in N 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.593 * [taylor]: Taking taylor expansion of N in N 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (/ 1 1) into 1 4.594 * [backup-simplify]: Simplify (- 1) into -1 4.595 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.595 * [backup-simplify]: Simplify (sqrt 0) into 0 4.596 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.596 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.597 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 4.597 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 4.597 * [taylor]: Taking taylor expansion of -1 in N 4.597 * [backup-simplify]: Simplify -1 into -1 4.597 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 4.597 * [taylor]: Taking taylor expansion of N in N 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.597 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.597 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.597 * [taylor]: Taking taylor expansion of 1 in N 4.597 * [backup-simplify]: Simplify 1 into 1 4.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.597 * [taylor]: Taking taylor expansion of N in N 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.597 * [backup-simplify]: Simplify (/ 1 1) into 1 4.597 * [backup-simplify]: Simplify (- 1) into -1 4.598 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.598 * [backup-simplify]: Simplify (sqrt 0) into 0 4.599 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.599 * [backup-simplify]: Simplify (* 0 0) into 0 4.599 * [backup-simplify]: Simplify (* -1 0) into 0 4.599 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.600 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.601 * [backup-simplify]: Simplify (- 0) into 0 4.601 * [backup-simplify]: Simplify (+ 1 0) into 1 4.603 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.605 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.606 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 4.607 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.607 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 4.608 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 4.609 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (- 0) into 0 4.610 * [backup-simplify]: Simplify (+ 1 0) into 1 4.612 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (- 0) into 0 4.617 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.621 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.624 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 4.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.633 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.633 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.635 * [backup-simplify]: Simplify (- 0) into 0 4.635 * [backup-simplify]: Simplify (+ 0 0) into 0 4.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (- 0) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) into 0 4.659 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.663 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 4.666 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 4.684 * [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 4.684 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.685 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.687 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.687 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.687 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1)) 1)) into (log (sqrt (+ N 1))) 4.688 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 4.688 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 4.688 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.688 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.688 * [taylor]: Taking taylor expansion of N in N 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [taylor]: Taking taylor expansion of 1 in N 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (+ 0 1) into 1 4.689 * [backup-simplify]: Simplify (sqrt 1) into 1 4.689 * [backup-simplify]: Simplify (+ 1 0) into 1 4.690 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.690 * [backup-simplify]: Simplify (log 1) into 0 4.690 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 4.690 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.690 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.690 * [taylor]: Taking taylor expansion of N in N 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 1 into 1 4.690 * [taylor]: Taking taylor expansion of 1 in N 4.690 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify (+ 0 1) into 1 4.691 * [backup-simplify]: Simplify (sqrt 1) into 1 4.694 * [backup-simplify]: Simplify (+ 1 0) into 1 4.694 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.695 * [backup-simplify]: Simplify (log 1) into 0 4.695 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 4.697 * [backup-simplify]: Simplify 1/2 into 1/2 4.697 * [backup-simplify]: Simplify (+ 0 0) into 0 4.698 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 4.701 * [backup-simplify]: Simplify -1/4 into -1/4 4.702 * [backup-simplify]: Simplify (+ 0 0) into 0 4.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.708 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 4.708 * [backup-simplify]: Simplify 1/6 into 1/6 4.709 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 4.709 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1)) 1)) into (log (sqrt (+ (/ 1 N) 1))) 4.709 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 4.709 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 4.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.709 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.709 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.709 * [taylor]: Taking taylor expansion of N in N 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (/ 1 1) into 1 4.710 * [taylor]: Taking taylor expansion of 1 in N 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (+ 1 0) into 1 4.710 * [backup-simplify]: Simplify (sqrt 0) into 0 4.712 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.712 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.712 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 4.712 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.712 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.712 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.712 * [taylor]: Taking taylor expansion of N in N 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.713 * [taylor]: Taking taylor expansion of 1 in N 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (+ 1 0) into 1 4.714 * [backup-simplify]: Simplify (sqrt 0) into 0 4.715 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.715 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.716 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.717 * [backup-simplify]: Simplify (+ 0 1) into 1 4.720 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.726 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.728 * [backup-simplify]: Simplify (+ 0 0) into 0 4.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.745 * [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 4.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.746 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.746 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1)) 1)) into (log (sqrt (- 1 (/ 1 N)))) 4.746 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 4.746 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 4.747 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.747 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.747 * [taylor]: Taking taylor expansion of 1 in N 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.747 * [taylor]: Taking taylor expansion of N in N 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [backup-simplify]: Simplify (/ 1 1) into 1 4.747 * [backup-simplify]: Simplify (- 1) into -1 4.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.748 * [backup-simplify]: Simplify (sqrt 0) into 0 4.750 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.750 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.750 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 4.750 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.750 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.750 * [taylor]: Taking taylor expansion of 1 in N 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.750 * [taylor]: Taking taylor expansion of N in N 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.751 * [backup-simplify]: Simplify (/ 1 1) into 1 4.751 * [backup-simplify]: Simplify (- 1) into -1 4.751 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.752 * [backup-simplify]: Simplify (sqrt 0) into 0 4.753 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.753 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.754 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.755 * [backup-simplify]: Simplify (- 0) into 0 4.755 * [backup-simplify]: Simplify (+ 1 0) into 1 4.758 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.763 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.764 * [backup-simplify]: Simplify (- 0) into 0 4.764 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.775 * [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 4.775 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.775 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.775 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.775 * [backup-simplify]: Simplify (/ (sqrt (+ N 1)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 4.775 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 4.775 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 4.775 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.775 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.775 * [taylor]: Taking taylor expansion of N in N 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.775 * [taylor]: Taking taylor expansion of 1 in N 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [backup-simplify]: Simplify (+ 0 1) into 1 4.776 * [backup-simplify]: Simplify (sqrt 1) into 1 4.776 * [backup-simplify]: Simplify (+ 1 0) into 1 4.777 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.777 * [taylor]: Taking taylor expansion of N in N 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (/ 1 1) into 1 4.777 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 4.777 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.777 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.777 * [taylor]: Taking taylor expansion of N in N 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [taylor]: Taking taylor expansion of 1 in N 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (+ 0 1) into 1 4.778 * [backup-simplify]: Simplify (sqrt 1) into 1 4.778 * [backup-simplify]: Simplify (+ 1 0) into 1 4.778 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.778 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.778 * [taylor]: Taking taylor expansion of N in N 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify 1 into 1 4.779 * [backup-simplify]: Simplify (/ 1 1) into 1 4.779 * [backup-simplify]: Simplify (* 1 1) into 1 4.779 * [backup-simplify]: Simplify 1 into 1 4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 4.780 * [backup-simplify]: Simplify 1/2 into 1/2 4.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.781 * [backup-simplify]: Simplify (+ 0 0) into 0 4.781 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 4.782 * [backup-simplify]: Simplify -1/8 into -1/8 4.782 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 4.782 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 4.782 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 4.782 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 4.782 * [taylor]: Taking taylor expansion of N in N 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.782 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.782 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.782 * [taylor]: Taking taylor expansion of N in N 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.783 * [backup-simplify]: Simplify (/ 1 1) into 1 4.783 * [taylor]: Taking taylor expansion of 1 in N 4.783 * [backup-simplify]: Simplify 1 into 1 4.783 * [backup-simplify]: Simplify (+ 1 0) into 1 4.783 * [backup-simplify]: Simplify (sqrt 0) into 0 4.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.784 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 4.784 * [taylor]: Taking taylor expansion of N in N 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.784 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.784 * [taylor]: Taking taylor expansion of N in N 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.784 * [backup-simplify]: Simplify (/ 1 1) into 1 4.785 * [taylor]: Taking taylor expansion of 1 in N 4.785 * [backup-simplify]: Simplify 1 into 1 4.785 * [backup-simplify]: Simplify (+ 1 0) into 1 4.785 * [backup-simplify]: Simplify (sqrt 0) into 0 4.786 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.786 * [backup-simplify]: Simplify (* 0 0) into 0 4.786 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (+ 0 1) into 1 4.790 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.793 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.793 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.794 * [backup-simplify]: Simplify (+ 0 0) into 0 4.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.802 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.803 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.804 * [backup-simplify]: Simplify (+ 0 0) into 0 4.809 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.813 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 4.813 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.817 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 4.817 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 4.817 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 4.817 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 4.817 * [taylor]: Taking taylor expansion of -1 in N 4.817 * [backup-simplify]: Simplify -1 into -1 4.817 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 4.817 * [taylor]: Taking taylor expansion of N in N 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.817 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.817 * [taylor]: Taking taylor expansion of 1 in N 4.817 * [backup-simplify]: Simplify 1 into 1 4.818 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.818 * [taylor]: Taking taylor expansion of N in N 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 1 into 1 4.818 * [backup-simplify]: Simplify (/ 1 1) into 1 4.818 * [backup-simplify]: Simplify (- 1) into -1 4.819 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.819 * [backup-simplify]: Simplify (sqrt 0) into 0 4.821 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.821 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 4.821 * [taylor]: Taking taylor expansion of -1 in N 4.821 * [backup-simplify]: Simplify -1 into -1 4.821 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 4.821 * [taylor]: Taking taylor expansion of N in N 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify 1 into 1 4.821 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.821 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.821 * [taylor]: Taking taylor expansion of 1 in N 4.821 * [backup-simplify]: Simplify 1 into 1 4.821 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.821 * [taylor]: Taking taylor expansion of N in N 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify 1 into 1 4.821 * [backup-simplify]: Simplify (/ 1 1) into 1 4.822 * [backup-simplify]: Simplify (- 1) into -1 4.822 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.823 * [backup-simplify]: Simplify (sqrt 0) into 0 4.824 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.824 * [backup-simplify]: Simplify (* 0 0) into 0 4.825 * [backup-simplify]: Simplify (* -1 0) into 0 4.825 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 4.826 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.827 * [backup-simplify]: Simplify (- 0) into 0 4.828 * [backup-simplify]: Simplify (+ 1 0) into 1 4.831 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.834 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 4.836 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 4.837 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.838 * [backup-simplify]: Simplify (- 0) into 0 4.838 * [backup-simplify]: Simplify (+ 0 0) into 0 4.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.846 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.849 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 4.849 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.850 * [backup-simplify]: Simplify (- 0) into 0 4.851 * [backup-simplify]: Simplify (+ 0 0) into 0 4.853 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.856 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 4.858 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 4.858 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.859 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 4.859 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 4.859 * [backup-simplify]: Simplify (sqrt (+ N 1)) into (sqrt (+ N 1)) 4.859 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 4.859 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.859 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.859 * [taylor]: Taking taylor expansion of N in N 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of 1 in N 4.859 * [backup-simplify]: Simplify 1 into 1 4.860 * [backup-simplify]: Simplify (+ 0 1) into 1 4.860 * [backup-simplify]: Simplify (sqrt 1) into 1 4.860 * [backup-simplify]: Simplify (+ 1 0) into 1 4.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.861 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 4.861 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.861 * [taylor]: Taking taylor expansion of N in N 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify 1 into 1 4.861 * [taylor]: Taking taylor expansion of 1 in N 4.861 * [backup-simplify]: Simplify 1 into 1 4.861 * [backup-simplify]: Simplify (+ 0 1) into 1 4.861 * [backup-simplify]: Simplify (sqrt 1) into 1 4.861 * [backup-simplify]: Simplify (+ 1 0) into 1 4.862 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 4.862 * [backup-simplify]: Simplify 1 into 1 4.862 * [backup-simplify]: Simplify 1/2 into 1/2 4.862 * [backup-simplify]: Simplify (+ 0 0) into 0 4.863 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 4.863 * [backup-simplify]: Simplify -1/8 into -1/8 4.863 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 4.863 * [backup-simplify]: Simplify (sqrt (+ (/ 1 N) 1)) into (sqrt (+ (/ 1 N) 1)) 4.863 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 4.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.863 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.863 * [taylor]: Taking taylor expansion of N in N 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify (/ 1 1) into 1 4.863 * [taylor]: Taking taylor expansion of 1 in N 4.863 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (+ 1 0) into 1 4.864 * [backup-simplify]: Simplify (sqrt 0) into 0 4.865 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 4.865 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.865 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.865 * [taylor]: Taking taylor expansion of N in N 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.865 * [backup-simplify]: Simplify (/ 1 1) into 1 4.865 * [taylor]: Taking taylor expansion of 1 in N 4.865 * [backup-simplify]: Simplify 1 into 1 4.865 * [backup-simplify]: Simplify (+ 1 0) into 1 4.866 * [backup-simplify]: Simplify (sqrt 0) into 0 4.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (+ 0 1) into 1 4.869 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.869 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.870 * [backup-simplify]: Simplify (+ 0 0) into 0 4.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.872 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.873 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 4.873 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- N)) 1)) into (sqrt (- 1 (/ 1 N))) 4.873 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 4.873 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.873 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.873 * [taylor]: Taking taylor expansion of 1 in N 4.873 * [backup-simplify]: Simplify 1 into 1 4.873 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.873 * [taylor]: Taking taylor expansion of N in N 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify 1 into 1 4.873 * [backup-simplify]: Simplify (/ 1 1) into 1 4.873 * [backup-simplify]: Simplify (- 1) into -1 4.874 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.874 * [backup-simplify]: Simplify (sqrt 0) into 0 4.875 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.875 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 4.875 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.875 * [taylor]: Taking taylor expansion of 1 in N 4.875 * [backup-simplify]: Simplify 1 into 1 4.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.875 * [taylor]: Taking taylor expansion of N in N 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 1 into 1 4.875 * [backup-simplify]: Simplify (/ 1 1) into 1 4.875 * [backup-simplify]: Simplify (- 1) into -1 4.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.876 * [backup-simplify]: Simplify (sqrt 0) into 0 4.877 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (- 0) into 0 4.879 * [backup-simplify]: Simplify (+ 1 0) into 1 4.881 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.882 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.883 * [backup-simplify]: Simplify (- 0) into 0 4.883 * [backup-simplify]: Simplify (+ 0 0) into 0 4.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.887 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.887 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 4.888 * * * [progress]: simplifying candidates 4.888 * * * * [progress]: [ 1 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 2 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 3 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 4 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 5 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 6 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 7 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 8 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 9 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 10 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 11 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 12 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 13 / 181 ] simplifiying candidate # 4.888 * * * * [progress]: [ 14 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 15 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 16 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 17 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 18 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 19 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 20 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 21 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 22 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 23 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 24 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 25 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 26 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 27 / 181 ] simplifiying candidate # 4.889 * * * * [progress]: [ 28 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 29 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 30 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 31 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 32 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 33 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 34 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 35 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 36 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 37 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 38 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 39 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 40 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 41 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 42 / 181 ] simplifiying candidate # 4.890 * * * * [progress]: [ 43 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 44 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 45 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 46 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 47 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 48 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 49 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 50 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 51 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 52 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 53 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 54 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 55 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 56 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 57 / 181 ] simplifiying candidate # 4.891 * * * * [progress]: [ 58 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 59 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 60 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 61 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 62 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 63 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 64 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 65 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 66 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 67 / 181 ] simplifiying candidate #real (real->posit16 (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N))))))> 4.892 * * * * [progress]: [ 68 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 69 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 70 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 71 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 72 / 181 ] simplifiying candidate # 4.892 * * * * [progress]: [ 73 / 181 ] simplifiying candidate # 4.893 * * * * [progress]: [ 74 / 181 ] simplifiying candidate # 4.893 * * * * [progress]: [ 75 / 181 ] simplifiying candidate # 4.893 * * * * [progress]: [ 76 / 181 ] simplifiying candidate # 4.893 * * * * [progress]: [ 77 / 181 ] simplifiying candidate # 4.893 * * * * [progress]: [ 78 / 181 ] simplifiying candidate # 4.893 * * * * [progress]: [ 79 / 181 ] simplifiying candidate # 4.893 * * * * [progress]: [ 80 / 181 ] simplifiying candidate # 4.893 * * * * [progress]: [ 81 / 181 ] simplifiying candidate # 4.893 * * * * [progress]: [ 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4.894 * * * * [progress]: [ 98 / 181 ] simplifiying candidate # 4.894 * * * * [progress]: [ 99 / 181 ] simplifiying candidate # 4.894 * * * * [progress]: [ 100 / 181 ] simplifiying candidate # 4.894 * * * * [progress]: [ 101 / 181 ] simplifiying candidate # 4.894 * * * * [progress]: [ 102 / 181 ] simplifiying candidate # 4.894 * * * * [progress]: [ 103 / 181 ] simplifiying candidate # 4.894 * * * * [progress]: [ 104 / 181 ] simplifiying candidate # 4.894 * * * * [progress]: [ 105 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 106 / 181 ] simplifiying candidate #real (real->posit16 (log (/ (sqrt (+ N 1)) 1)))) (log (/ (sqrt (+ N 1)) N))))> 4.895 * * * * [progress]: [ 107 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 108 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 109 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 110 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 111 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 112 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 113 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 114 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 115 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 116 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 117 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 118 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 119 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 120 / 181 ] simplifiying candidate # 4.895 * * * * [progress]: [ 121 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 122 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 123 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 124 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 125 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 126 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 127 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 128 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 129 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 130 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 131 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 132 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 133 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 134 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 135 / 181 ] simplifiying candidate # 4.896 * * * * [progress]: [ 136 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 137 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 138 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 139 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 140 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 141 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 142 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 143 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 144 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 145 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 146 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 147 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 148 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 149 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 150 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 151 / 181 ] simplifiying candidate # 4.897 * * * * [progress]: [ 152 / 181 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ N 1)) N))))))> 4.898 * * * * [progress]: [ 153 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 154 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 155 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 156 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 157 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 158 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 159 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 160 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 161 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 162 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 163 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 164 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 165 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 166 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 167 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 168 / 181 ] simplifiying candidate # 4.898 * * * * [progress]: [ 169 / 181 ] simplifiying candidate #real (real->posit16 (sqrt (+ N 1)))) N))))> 4.899 * * * * [progress]: [ 170 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 171 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 172 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 173 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 174 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 175 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 176 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 177 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 178 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 179 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 180 / 181 ] simplifiying candidate # 4.899 * * * * [progress]: [ 181 / 181 ] simplifiying candidate # 4.902 * [simplify]: Simplifying: (* (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N)) (log (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)))) (exp (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)))) (* (cbrt (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)))) (cbrt (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N))))) (cbrt (+ (log (/ (sqrt 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N))) (+ (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N))) (+ (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N))) (+ (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N))) (+ (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N))) (log (/ (sqrt (+ N 1)) N)) (+ (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (- (log (/ (sqrt (+ N 1)) N))) (real->posit16 (+ (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)))) (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (cbrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (cbrt (sqrt (+ N 1)))) (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (cbrt (sqrt (+ N 1)))) (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (cbrt (sqrt (+ N 1)))) (log (fabs (cbrt (+ N 1)))) (log (sqrt (cbrt (+ N 1)))) (log (fabs (cbrt (+ N 1)))) (log (sqrt (cbrt (+ N 1)))) (log (fabs (cbrt (+ N 1)))) (log (sqrt (cbrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) (log (log (sqrt (+ N 1)))) (sqrt (+ N 1)) (* (cbrt (log (sqrt (+ N 1)))) (cbrt (log (sqrt (+ N 1))))) (cbrt (log (sqrt (+ N 1)))) (* (log (sqrt (+ N 1))) (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1))))) (sqrt (log (sqrt (+ N 1)))) (sqrt (log (sqrt (+ N 1)))) (real->posit16 (log (sqrt (+ N 1)))) (log (/ (sqrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) N)) (exp (/ (sqrt (+ N 1)) N)) (/ (sqrt (+ N 1)) (/ (* N N) (/ (+ N 1) N))) (* (cbrt (/ (sqrt (+ N 1)) N)) (cbrt (/ (sqrt (+ N 1)) N))) (cbrt (/ (sqrt (+ N 1)) N)) (/ (sqrt (+ N 1)) (/ (* N N) (/ (+ N 1) N))) (sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ (sqrt (+ N 1)) N)) (- (sqrt (+ N 1))) (- N) (* (/ (cbrt (sqrt (+ N 1))) (cbrt N)) (/ (cbrt (sqrt (+ N 1))) (cbrt N))) (/ (cbrt (sqrt (+ N 1))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1))) (sqrt N)) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (/ (cbrt (sqrt (+ N 1))) N) (/ (/ (fabs (cbrt (+ N 1))) (cbrt N)) (cbrt N)) (/ (sqrt (cbrt (+ N 1))) (cbrt N)) (/ (fabs (cbrt (+ N 1))) (sqrt N)) (/ (sqrt (cbrt (+ N 1))) (sqrt N)) (fabs (cbrt (+ N 1))) (/ (sqrt (cbrt (+ N 1))) N) (/ (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (sqrt (sqrt (+ N 1))) (/ (sqrt (sqrt (+ N 1))) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) 1 (/ (sqrt (+ N 1)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) 1 (/ (sqrt (+ N 1)) N) (/ (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (sqrt (sqrt (+ N 1))) (/ (sqrt (sqrt (+ N 1))) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) 1 (/ (sqrt (+ N 1)) N) (/ 1 N) (/ N (sqrt (+ N 1))) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ N (cbrt (sqrt (+ N 1)))) (/ N (sqrt (cbrt (+ N 1)))) (/ N (sqrt (sqrt (+ N 1)))) (/ N (sqrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (sqrt (sqrt (+ N 1)))) (/ N (sqrt (+ N 1))) (* N (sqrt (- (+ (* N N) 1) N))) (* (sqrt (- N 1)) N) (real->posit16 (/ (sqrt (+ N 1)) N)) (log (sqrt (+ N 1))) (exp (sqrt (+ N 1))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (cbrt (sqrt (+ N 1))) (* (+ N 1) (sqrt (+ N 1))) (fabs (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (sqrt (+ N 1))) (sqrt (sqrt (+ N 1))) 1 (sqrt (+ N 1)) 1 (sqrt (+ N 1)) (sqrt (+ (* N (* N N)) 1)) (sqrt (- (+ (* N N) 1) N)) (sqrt (- (* N N) 1)) (sqrt (- N 1)) 1/2 (sqrt (sqrt (+ N 1))) (sqrt (sqrt (+ N 1))) (real->posit16 (sqrt (+ N 1))) (- (- N (* 1/2 (* N N))) (log N)) (+ (- (- (log (- +nan.0)) (/ (- +nan.0) N)) (/ +nan.0 (* N N))) (- (log +nan.0) (log N))) (+ (+ (log (- +nan.0)) (log (/ -1 N))) (- (+ (log +nan.0) (/ +nan.0 N)) (/ +nan.0 (* N N)))) (+ (* (* N N) (- (* N 1/6) 1/4)) (* 1/2 N)) (- (+ (log +nan.0) (/ +nan.0 N)) (/ +nan.0 (* N N))) (- (+ (log +nan.0) (/ +nan.0 N)) (/ +nan.0 (* N N))) (+ (+ (/ 1 N) 1/2) (* -1/8 N)) (- (- (/ (/ (/ +nan.0 N) N) N) (/ +nan.0 N)) (/ +nan.0 (* N N))) (- (- (/ (/ (/ +nan.0 N) N) N) (/ +nan.0 N)) (/ +nan.0 (* N N))) (+ (+ (* 1/2 N) 1) (* -1/8 (* N N))) (- (- (/ +nan.0 N) +nan.0) (/ +nan.0 (* N N))) (- (- (/ +nan.0 N) +nan.0) (/ +nan.0 (* N N))) 6.969 * * * [progress]: adding candidates to table 7.632 * * [progress]: iteration 4 / 4 7.632 * * * [progress]: picking best candidate 7.661 * * * * [pick]: Picked # 7.661 * * * [progress]: localizing error 7.710 * * * [progress]: generating rewritten candidates 7.710 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 7.732 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 7.741 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.748 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.776 * * * [progress]: generating series expansions 7.776 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 7.776 * [backup-simplify]: Simplify (- (log (sqrt (+ N 1))) (log (sqrt N))) into (- (log (sqrt (+ N 1))) (log (sqrt N))) 7.776 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in (N) around 0 7.776 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 7.776 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 7.776 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.776 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.776 * [taylor]: Taking taylor expansion of N in N 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 1 into 1 7.776 * [taylor]: Taking taylor expansion of 1 in N 7.776 * [backup-simplify]: Simplify 1 into 1 7.777 * [backup-simplify]: Simplify (+ 0 1) into 1 7.778 * [backup-simplify]: Simplify (sqrt 1) into 1 7.778 * [backup-simplify]: Simplify (+ 1 0) into 1 7.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.779 * [backup-simplify]: Simplify (log 1) into 0 7.779 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 7.779 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.779 * [taylor]: Taking taylor expansion of N in N 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (sqrt 0) into 0 7.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.781 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.782 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 7.782 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 7.782 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 7.782 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.782 * [taylor]: Taking taylor expansion of N in N 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [taylor]: Taking taylor expansion of 1 in N 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (+ 0 1) into 1 7.783 * [backup-simplify]: Simplify (sqrt 1) into 1 7.783 * [backup-simplify]: Simplify (+ 1 0) into 1 7.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.784 * [backup-simplify]: Simplify (log 1) into 0 7.784 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 7.784 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.784 * [taylor]: Taking taylor expansion of N in N 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 1 into 1 7.785 * [backup-simplify]: Simplify (sqrt 0) into 0 7.794 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.795 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.796 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 7.796 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 7.797 * [backup-simplify]: Simplify (+ 0 (- (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0))) 7.797 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 7.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 7.802 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.809 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.809 * [backup-simplify]: Simplify (+ 1/2 (- +nan.0)) into (- +nan.0) 7.810 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.810 * [backup-simplify]: Simplify (+ 0 0) into 0 7.811 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 7.812 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 7.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.823 * [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 7.823 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.823 * [backup-simplify]: Simplify (+ -1/4 (- +nan.0)) into (- +nan.0) 7.824 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.825 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (+ (log N) (log +nan.0))))) into (- (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 7.825 * [backup-simplify]: Simplify (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) into (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) 7.825 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in (N) around 0 7.825 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 7.825 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 7.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.825 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.825 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.825 * [taylor]: Taking taylor expansion of N in N 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.826 * [backup-simplify]: Simplify (/ 1 1) into 1 7.826 * [taylor]: Taking taylor expansion of 1 in N 7.826 * [backup-simplify]: Simplify 1 into 1 7.826 * [backup-simplify]: Simplify (+ 1 0) into 1 7.826 * [backup-simplify]: Simplify (sqrt 0) into 0 7.827 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.827 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.827 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 7.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.828 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.828 * [taylor]: Taking taylor expansion of N in N 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 1 into 1 7.828 * [backup-simplify]: Simplify (/ 1 1) into 1 7.828 * [backup-simplify]: Simplify (sqrt 0) into 0 7.829 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.829 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.829 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 7.829 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 7.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 7.829 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.829 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.829 * [taylor]: Taking taylor expansion of N in N 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.830 * [backup-simplify]: Simplify (/ 1 1) into 1 7.830 * [taylor]: Taking taylor expansion of 1 in N 7.830 * [backup-simplify]: Simplify 1 into 1 7.830 * [backup-simplify]: Simplify (+ 1 0) into 1 7.830 * [backup-simplify]: Simplify (sqrt 0) into 0 7.831 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.831 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.831 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 7.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.831 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.831 * [taylor]: Taking taylor expansion of N in N 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify (/ 1 1) into 1 7.832 * [backup-simplify]: Simplify (sqrt 0) into 0 7.833 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.833 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.833 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 7.834 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 7.834 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.835 * [backup-simplify]: Simplify (+ 0 1) into 1 7.837 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.853 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.854 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.854 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.856 * [backup-simplify]: Simplify (+ 0 0) into 0 7.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.874 * [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 7.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.893 * [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 7.894 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.894 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.895 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.896 * [backup-simplify]: Simplify (+ 0 0) into 0 7.901 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.928 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 7.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.934 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.959 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 7.965 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 7.975 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 7.980 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 7.985 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 7.985 * [backup-simplify]: Simplify (- (log (sqrt (+ (/ 1 (- N)) 1))) (log (sqrt (/ 1 (- N))))) into (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) 7.985 * [approximate]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 7.985 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 7.985 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 7.985 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.985 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.985 * [taylor]: Taking taylor expansion of 1 in N 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.985 * [taylor]: Taking taylor expansion of N in N 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 1 into 1 7.986 * [backup-simplify]: Simplify (/ 1 1) into 1 7.986 * [backup-simplify]: Simplify (- 1) into -1 7.987 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.987 * [backup-simplify]: Simplify (sqrt 0) into 0 7.989 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.989 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.989 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.989 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.989 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.989 * [taylor]: Taking taylor expansion of -1 in N 7.989 * [backup-simplify]: Simplify -1 into -1 7.989 * [taylor]: Taking taylor expansion of N in N 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 1 into 1 7.990 * [backup-simplify]: Simplify (/ -1 1) into -1 7.990 * [backup-simplify]: Simplify (sqrt 0) into 0 7.992 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.992 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.992 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 7.992 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 7.992 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 7.992 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.992 * [taylor]: Taking taylor expansion of 1 in N 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.992 * [taylor]: Taking taylor expansion of N in N 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 1 into 1 7.993 * [backup-simplify]: Simplify (/ 1 1) into 1 7.993 * [backup-simplify]: Simplify (- 1) into -1 7.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.994 * [backup-simplify]: Simplify (sqrt 0) into 0 7.996 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.996 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.996 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.996 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.996 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.996 * [taylor]: Taking taylor expansion of -1 in N 7.996 * [backup-simplify]: Simplify -1 into -1 7.996 * [taylor]: Taking taylor expansion of N in N 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.997 * [backup-simplify]: Simplify (/ -1 1) into -1 7.997 * [backup-simplify]: Simplify (sqrt 0) into 0 7.999 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.999 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.000 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 8.002 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 8.002 * [backup-simplify]: Simplify 0 into 0 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.003 * [backup-simplify]: Simplify (- 0) into 0 8.003 * [backup-simplify]: Simplify (+ 1 0) into 1 8.007 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.017 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.024 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.025 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.025 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (- 0) into 0 8.027 * [backup-simplify]: Simplify (+ 0 0) into 0 8.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.052 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.052 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.053 * [backup-simplify]: Simplify (- 0) into 0 8.053 * [backup-simplify]: Simplify (+ 0 0) into 0 8.056 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.072 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.104 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.111 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.122 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.127 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.132 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 8.132 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.133 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1)) (sqrt N))) into (log (sqrt (/ (+ N 1) N))) 8.133 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 8.133 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 8.133 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.133 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.133 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.133 * [taylor]: Taking taylor expansion of N in N 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify 1 into 1 8.133 * [taylor]: Taking taylor expansion of 1 in N 8.133 * [backup-simplify]: Simplify 1 into 1 8.133 * [taylor]: Taking taylor expansion of N in N 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify 1 into 1 8.134 * [backup-simplify]: Simplify (+ 0 1) into 1 8.134 * [backup-simplify]: Simplify (/ 1 1) into 1 8.134 * [backup-simplify]: Simplify (sqrt 0) into 0 8.136 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.136 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.136 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 8.136 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.136 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.136 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.136 * [taylor]: Taking taylor expansion of N in N 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify 1 into 1 8.137 * [taylor]: Taking taylor expansion of 1 in N 8.137 * [backup-simplify]: Simplify 1 into 1 8.137 * [taylor]: Taking taylor expansion of N in N 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify 1 into 1 8.137 * [backup-simplify]: Simplify (+ 0 1) into 1 8.138 * [backup-simplify]: Simplify (/ 1 1) into 1 8.138 * [backup-simplify]: Simplify (sqrt 0) into 0 8.139 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.140 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.140 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.141 * [backup-simplify]: Simplify (+ 1 0) into 1 8.142 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.145 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.152 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.152 * [backup-simplify]: Simplify (+ 0 0) into 0 8.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.172 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.173 * [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))))) 8.173 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 8.173 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 8.173 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 8.173 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.173 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.173 * [taylor]: Taking taylor expansion of N in N 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.173 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.173 * [taylor]: Taking taylor expansion of N in N 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify (/ 1 1) into 1 8.174 * [taylor]: Taking taylor expansion of 1 in N 8.174 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify (+ 1 0) into 1 8.175 * [backup-simplify]: Simplify (* 0 1) into 0 8.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.176 * [backup-simplify]: Simplify (+ 0 1) into 1 8.176 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.177 * [backup-simplify]: Simplify (sqrt 1) into 1 8.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify (+ 0 0) into 0 8.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.183 * [backup-simplify]: Simplify (log 1) into 0 8.183 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 8.183 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.183 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.183 * [taylor]: Taking taylor expansion of N in N 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.183 * [taylor]: Taking taylor expansion of N in N 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [backup-simplify]: Simplify (/ 1 1) into 1 8.183 * [taylor]: Taking taylor expansion of 1 in N 8.183 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (+ 1 0) into 1 8.184 * [backup-simplify]: Simplify (* 0 1) into 0 8.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.185 * [backup-simplify]: Simplify (+ 0 1) into 1 8.186 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.186 * [backup-simplify]: Simplify (sqrt 1) into 1 8.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.188 * [backup-simplify]: Simplify (+ 0 0) into 0 8.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.189 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.190 * [backup-simplify]: Simplify (log 1) into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 8.191 * [backup-simplify]: Simplify 1/2 into 1/2 8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (+ 0 0) into 0 8.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 8.198 * [backup-simplify]: Simplify -1/4 into -1/4 8.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (+ 0 0) into 0 8.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.209 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 8.209 * [backup-simplify]: Simplify 1/6 into 1/6 8.209 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 8.209 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 8.210 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 8.210 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 8.210 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 8.210 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 8.210 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.210 * [taylor]: Taking taylor expansion of 1 in N 8.210 * [backup-simplify]: Simplify 1 into 1 8.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.210 * [taylor]: Taking taylor expansion of N in N 8.210 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify 1 into 1 8.210 * [backup-simplify]: Simplify (/ 1 1) into 1 8.211 * [backup-simplify]: Simplify (- 1) into -1 8.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.212 * [backup-simplify]: Simplify (sqrt 0) into 0 8.213 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.213 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 8.213 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 8.213 * [taylor]: Taking taylor expansion of (/ -1 N) in N 8.213 * [taylor]: Taking taylor expansion of -1 in N 8.213 * [backup-simplify]: Simplify -1 into -1 8.213 * [taylor]: Taking taylor expansion of N in N 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.214 * [backup-simplify]: Simplify (/ -1 1) into -1 8.214 * [backup-simplify]: Simplify (sqrt 0) into 0 8.216 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.216 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.217 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 8.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.221 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.223 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.224 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 8.225 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.225 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 8.225 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 8.225 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 8.225 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.225 * [taylor]: Taking taylor expansion of 1 in N 8.225 * [backup-simplify]: Simplify 1 into 1 8.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.225 * [taylor]: Taking taylor expansion of N in N 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 1 into 1 8.225 * [backup-simplify]: Simplify (/ 1 1) into 1 8.226 * [backup-simplify]: Simplify (- 1) into -1 8.226 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.226 * [backup-simplify]: Simplify (sqrt 0) into 0 8.227 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.227 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 8.227 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 8.227 * [taylor]: Taking taylor expansion of (/ -1 N) in N 8.227 * [taylor]: Taking taylor expansion of -1 in N 8.227 * [backup-simplify]: Simplify -1 into -1 8.227 * [taylor]: Taking taylor expansion of N in N 8.227 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify (/ -1 1) into -1 8.228 * [backup-simplify]: Simplify (sqrt 0) into 0 8.228 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.229 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.229 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 8.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.231 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.233 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.234 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 8.234 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.235 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 8.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.240 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.240 * [backup-simplify]: Simplify (- 0) into 0 8.241 * [backup-simplify]: Simplify (+ 1 0) into 1 8.243 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.245 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 8.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 8.249 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.253 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.258 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.259 * [backup-simplify]: Simplify (- 0) into 0 8.260 * [backup-simplify]: Simplify (+ 0 0) into 0 8.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.269 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 8.280 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 8.280 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.280 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.280 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.280 * [backup-simplify]: Simplify (log (sqrt (+ N 1))) into (log (sqrt (+ N 1))) 8.280 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 8.281 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 8.281 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 8.281 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.281 * [taylor]: Taking taylor expansion of N in N 8.281 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify 1 into 1 8.281 * [taylor]: Taking taylor expansion of 1 in N 8.281 * [backup-simplify]: Simplify 1 into 1 8.281 * [backup-simplify]: Simplify (+ 0 1) into 1 8.281 * [backup-simplify]: Simplify (sqrt 1) into 1 8.281 * [backup-simplify]: Simplify (+ 1 0) into 1 8.282 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.282 * [backup-simplify]: Simplify (log 1) into 0 8.282 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 8.282 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 8.282 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.282 * [taylor]: Taking taylor expansion of N in N 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [taylor]: Taking taylor expansion of 1 in N 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [backup-simplify]: Simplify (+ 0 1) into 1 8.283 * [backup-simplify]: Simplify (sqrt 1) into 1 8.283 * [backup-simplify]: Simplify (+ 1 0) into 1 8.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.284 * [backup-simplify]: Simplify (log 1) into 0 8.284 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 8.284 * [backup-simplify]: Simplify 1/2 into 1/2 8.285 * [backup-simplify]: Simplify (+ 0 0) into 0 8.285 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 8.287 * [backup-simplify]: Simplify -1/4 into -1/4 8.287 * [backup-simplify]: Simplify (+ 0 0) into 0 8.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.293 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 8.293 * [backup-simplify]: Simplify 1/6 into 1/6 8.293 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 8.293 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1))) into (log (sqrt (+ (/ 1 N) 1))) 8.293 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 8.293 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 8.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 8.293 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.293 * [taylor]: Taking taylor expansion of N in N 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (/ 1 1) into 1 8.294 * [taylor]: Taking taylor expansion of 1 in N 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (+ 1 0) into 1 8.294 * [backup-simplify]: Simplify (sqrt 0) into 0 8.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.295 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.295 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 8.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 8.296 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.296 * [taylor]: Taking taylor expansion of N in N 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify 1 into 1 8.296 * [backup-simplify]: Simplify (/ 1 1) into 1 8.296 * [taylor]: Taking taylor expansion of 1 in N 8.296 * [backup-simplify]: Simplify 1 into 1 8.296 * [backup-simplify]: Simplify (+ 1 0) into 1 8.296 * [backup-simplify]: Simplify (sqrt 0) into 0 8.297 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.297 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.298 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.299 * [backup-simplify]: Simplify (+ 0 1) into 1 8.300 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.304 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.305 * [backup-simplify]: Simplify (+ 0 0) into 0 8.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.316 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.316 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.316 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1))) into (log (sqrt (- 1 (/ 1 N)))) 8.316 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 8.316 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 8.316 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 8.316 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.316 * [taylor]: Taking taylor expansion of 1 in N 8.316 * [backup-simplify]: Simplify 1 into 1 8.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.317 * [taylor]: Taking taylor expansion of N in N 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 1 into 1 8.317 * [backup-simplify]: Simplify (/ 1 1) into 1 8.317 * [backup-simplify]: Simplify (- 1) into -1 8.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.318 * [backup-simplify]: Simplify (sqrt 0) into 0 8.319 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.319 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.319 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 8.319 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 8.319 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.319 * [taylor]: Taking taylor expansion of 1 in N 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.319 * [taylor]: Taking taylor expansion of N in N 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [backup-simplify]: Simplify (/ 1 1) into 1 8.320 * [backup-simplify]: Simplify (- 1) into -1 8.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.320 * [backup-simplify]: Simplify (sqrt 0) into 0 8.321 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.321 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.322 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.322 * [backup-simplify]: Simplify (- 0) into 0 8.323 * [backup-simplify]: Simplify (+ 1 0) into 1 8.325 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.329 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify (- 0) into 0 8.330 * [backup-simplify]: Simplify (+ 0 0) into 0 8.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.345 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 8.345 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.345 * [backup-simplify]: Simplify (/ (sqrt (+ N 1)) (sqrt N)) into (sqrt (/ (+ N 1) N)) 8.345 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 8.345 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.345 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.345 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.345 * [taylor]: Taking taylor expansion of N in N 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 1 into 1 8.345 * [taylor]: Taking taylor expansion of 1 in N 8.345 * [backup-simplify]: Simplify 1 into 1 8.345 * [taylor]: Taking taylor expansion of N in N 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 1 into 1 8.346 * [backup-simplify]: Simplify (+ 0 1) into 1 8.346 * [backup-simplify]: Simplify (/ 1 1) into 1 8.347 * [backup-simplify]: Simplify (sqrt 0) into 0 8.348 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.348 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.348 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.348 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.348 * [taylor]: Taking taylor expansion of N in N 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 1 into 1 8.348 * [taylor]: Taking taylor expansion of 1 in N 8.348 * [backup-simplify]: Simplify 1 into 1 8.348 * [taylor]: Taking taylor expansion of N in N 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 1 into 1 8.349 * [backup-simplify]: Simplify (+ 0 1) into 1 8.349 * [backup-simplify]: Simplify (/ 1 1) into 1 8.350 * [backup-simplify]: Simplify (sqrt 0) into 0 8.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.352 * [backup-simplify]: Simplify (+ 1 0) into 1 8.352 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.355 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.356 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.356 * [backup-simplify]: Simplify (+ 0 0) into 0 8.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.361 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.361 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 8.362 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1)) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 8.362 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 8.362 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.362 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.362 * [taylor]: Taking taylor expansion of N in N 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.362 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.362 * [taylor]: Taking taylor expansion of N in N 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (/ 1 1) into 1 8.362 * [taylor]: Taking taylor expansion of 1 in N 8.362 * [backup-simplify]: Simplify 1 into 1 8.363 * [backup-simplify]: Simplify (+ 1 0) into 1 8.364 * [backup-simplify]: Simplify (* 0 1) into 0 8.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.365 * [backup-simplify]: Simplify (+ 0 1) into 1 8.366 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.366 * [backup-simplify]: Simplify (sqrt 1) into 1 8.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.367 * [backup-simplify]: Simplify (+ 0 0) into 0 8.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.369 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.369 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.369 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.369 * [taylor]: Taking taylor expansion of N in N 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.369 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.369 * [taylor]: Taking taylor expansion of N in N 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (/ 1 1) into 1 8.370 * [taylor]: Taking taylor expansion of 1 in N 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (+ 1 0) into 1 8.371 * [backup-simplify]: Simplify (* 0 1) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (+ 0 1) into 1 8.373 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.373 * [backup-simplify]: Simplify (sqrt 1) into 1 8.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.374 * [backup-simplify]: Simplify (+ 0 0) into 0 8.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.376 * [backup-simplify]: Simplify 1 into 1 8.376 * [backup-simplify]: Simplify 1/2 into 1/2 8.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.378 * [backup-simplify]: Simplify (+ 0 0) into 0 8.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.380 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.380 * [backup-simplify]: Simplify -1/8 into -1/8 8.380 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 8.380 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1)) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 8.381 * [approximate]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 8.381 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 8.381 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 8.381 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.381 * [taylor]: Taking taylor expansion of 1 in N 8.381 * [backup-simplify]: Simplify 1 into 1 8.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.381 * [taylor]: Taking taylor expansion of N in N 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 1 into 1 8.381 * [backup-simplify]: Simplify (/ 1 1) into 1 8.382 * [backup-simplify]: Simplify (- 1) into -1 8.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.382 * [backup-simplify]: Simplify (sqrt 0) into 0 8.384 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.384 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 8.384 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 8.384 * [taylor]: Taking taylor expansion of (/ -1 N) in N 8.384 * [taylor]: Taking taylor expansion of -1 in N 8.384 * [backup-simplify]: Simplify -1 into -1 8.384 * [taylor]: Taking taylor expansion of N in N 8.384 * [backup-simplify]: Simplify 0 into 0 8.384 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (/ -1 1) into -1 8.385 * [backup-simplify]: Simplify (sqrt 0) into 0 8.386 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.387 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.387 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 8.387 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 8.387 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.387 * [taylor]: Taking taylor expansion of 1 in N 8.387 * [backup-simplify]: Simplify 1 into 1 8.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.387 * [taylor]: Taking taylor expansion of N in N 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 1 into 1 8.387 * [backup-simplify]: Simplify (/ 1 1) into 1 8.388 * [backup-simplify]: Simplify (- 1) into -1 8.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.389 * [backup-simplify]: Simplify (sqrt 0) into 0 8.390 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.390 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 8.390 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 8.390 * [taylor]: Taking taylor expansion of (/ -1 N) in N 8.390 * [taylor]: Taking taylor expansion of -1 in N 8.390 * [backup-simplify]: Simplify -1 into -1 8.390 * [taylor]: Taking taylor expansion of N in N 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (/ -1 1) into -1 8.391 * [backup-simplify]: Simplify (sqrt 0) into 0 8.393 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.393 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.394 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.400 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.401 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 8.402 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.414 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.415 * [backup-simplify]: Simplify (- 0) into 0 8.416 * [backup-simplify]: Simplify (+ 1 0) into 1 8.418 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.420 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 8.420 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.424 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.427 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.428 * [backup-simplify]: Simplify (- 0) into 0 8.428 * [backup-simplify]: Simplify (+ 0 0) into 0 8.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.433 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 8.434 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.435 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 8.435 * * * [progress]: simplifying candidates 8.435 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 14 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: [ 15 / 197 ] simplifiying candidate # 8.435 * * * * [progress]: 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8.436 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 8.436 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 8.436 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 8.436 * * * * [progress]: [ 35 / 197 ] simplifiying candidate #real (real->posit16 (- (log (sqrt (+ N 1))) (log (sqrt N))))) (log (/ (sqrt (+ N 1)) (sqrt N)))))> 8.436 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 8.436 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 8.436 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 8.436 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 8.436 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 8.436 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 8.436 * * * * [progress]: [ 42 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 46 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 47 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 48 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 49 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 50 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 51 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 52 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 53 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 54 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 55 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 56 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 57 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 58 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 59 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 60 / 197 ] simplifiying candidate # 8.437 * * * * [progress]: [ 61 / 197 ] 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candidate # 8.439 * * * * [progress]: [ 93 / 197 ] simplifiying candidate #real (real->posit16 (log (/ (sqrt (+ N 1)) (sqrt N)))))))> 8.439 * * * * [progress]: [ 94 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 95 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 96 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 97 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 98 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 99 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 100 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 101 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 102 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 103 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 104 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 105 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 106 / 197 ] simplifiying candidate # 8.439 * * * * [progress]: [ 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* [progress]: [ 197 / 197 ] simplifiying candidate # 8.445 * [simplify]: Simplifying: (/ (sqrt (+ N 1)) (sqrt N)) (log (- (log (sqrt (+ N 1))) (log (sqrt N)))) (exp (- (log (sqrt (+ N 1))) (log (sqrt N)))) (* (cbrt (- (log (sqrt (+ N 1))) (log (sqrt N)))) (cbrt (- (log (sqrt (+ N 1))) (log (sqrt N))))) (cbrt (- (log (sqrt (+ N 1))) (log (sqrt N)))) (* (* (- (log (sqrt (+ N 1))) (log (sqrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N)))) (- (log (sqrt (+ N 1))) (log (sqrt N)))) (sqrt (- (log (sqrt (+ N 1))) (log (sqrt N)))) (sqrt (- (log (sqrt (+ N 1))) (log (sqrt N)))) (- (pow (log (sqrt (+ N 1))) 3) (pow (log (sqrt N)) 3)) (+ (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (+ (* (log (sqrt N)) (log (sqrt N))) (* (log (sqrt (+ N 1))) (log (sqrt N))))) (- (log (sqrt N))) (- (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1)))) (* (log (sqrt N)) (log (sqrt N)))) (+ (log (sqrt (+ N 1))) (log (sqrt N))) (+ (sqrt (log (sqrt (+ N 1)))) (sqrt (log (sqrt N)))) (- (sqrt (log (sqrt (+ N 1)))) (sqrt (log (sqrt N)))) (- (log (+ N 1)) (log N)) (- (log (sqrt (+ N 1))) (log (sqrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (- (log (+ N 1)) (log N)) (- (log (sqrt (+ N 1))) (log (sqrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (- (log (sqrt (+ N 1))) (log (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (- (log (sqrt (+ N 1))) (log (sqrt (* (cbrt N) (cbrt N))))) (- (log (sqrt (+ N 1))) (log (sqrt (sqrt N)))) (- (log (sqrt (+ N 1))) (log (sqrt 1))) (- (log (sqrt (+ N 1))) (log (sqrt (sqrt N)))) (- (log (sqrt (+ N 1))) (log 1)) (- (log (cbrt (sqrt (+ N 1)))) (log (sqrt N))) (- (log (sqrt (cbrt (+ N 1)))) (log (sqrt N))) (- (log (sqrt (sqrt (+ N 1)))) (log (sqrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (- (log (sqrt (sqrt (+ N 1)))) (log (sqrt N))) (- (log (sqrt (+ N 1))) (log (sqrt N))) (+ (log (sqrt (+ (* N N) (- (* 1 1) (* N 1))))) (log (sqrt N))) (+ (log (sqrt (- N 1))) (log (sqrt N))) (- (log (sqrt N))) (real->posit16 (- (log (sqrt (+ N 1))) (log (sqrt N)))) (log (* (cbrt (/ (sqrt (+ N 1)) (sqrt N))) (cbrt (/ (sqrt (+ N 1)) (sqrt N))))) (log (cbrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (cbrt (sqrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt 1))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt N))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) 1)) (log (/ (cbrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (cbrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt 1))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1)) (log (/ (sqrt (cbrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt 1))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) 1)) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (log (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ (sqrt 1) (sqrt 1))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (log (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ (sqrt 1) (sqrt 1))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt 1))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) 1)) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (log (/ 1 (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ 1 (sqrt 1))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ 1 (sqrt 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+nan.0) (+ (- 1 (/ 1/8 (* N N))) (/ 1/2 N)) (- (- (/ +nan.0 N) +nan.0) (/ (/ +nan.0 N) N)) 11.014 * * * [progress]: adding candidates to table 11.783 * [progress]: [Phase 3 of 3] Extracting. 11.783 * * [regime]: Finding splitpoints for: (# # # # #) 11.784 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.784 * * * * [regimes]: Trying to branch on N from (# # # # #) 11.836 * * * [regime]: Found split indices: #