21.759 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.052 * * [simplify]: iteration 0: 6 enodes 0.052 * * [simplify]: iteration 1: 9 enodes 0.053 * * [simplify]: iteration 2: 10 enodes 0.054 * * [simplify]: iteration complete: 10 enodes 0.054 * * [simplify]: Extracting #0: cost 1 inf + 0 0.054 * * [simplify]: Extracting #1: cost 4 inf + 0 0.054 * * [simplify]: Extracting #2: cost 6 inf + 0 0.054 * * [simplify]: Extracting #3: cost 6 inf + 1 0.054 * * [simplify]: Extracting #4: cost 0 inf + 21 0.054 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.087 * * * [progress]: generating series expansions 0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.087 * [backup-simplify]: Simplify (log (+ 1.0 N)) into (log (+ N 1.0)) 0.087 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.087 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.087 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of 1.0 in N 0.087 * [backup-simplify]: Simplify 1.0 into 1.0 0.087 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.088 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.088 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.088 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of 1.0 in N 0.088 * [backup-simplify]: Simplify 1.0 into 1.0 0.088 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.088 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.089 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.089 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.103 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.110 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.111 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.112 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 N))) into (log (+ (/ 1 N) 1.0)) 0.112 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.112 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.112 * [taylor]: Taking taylor expansion of N in N 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of 1.0 in N 0.112 * [backup-simplify]: Simplify 1.0 into 1.0 0.112 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (log 1) into 0 0.113 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [backup-simplify]: Simplify 1.0 into 1.0 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [backup-simplify]: Simplify (log 1) into 0 0.114 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.114 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.127 * [backup-simplify]: Simplify -0.5 into -0.5 0.127 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.127 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- N)))) into (log (- 1.0 (/ 1 N))) 0.127 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.127 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (- 1) into -1 0.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.129 * [backup-simplify]: Simplify (log -1) into (log -1) 0.129 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify (- 1) into -1 0.130 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.130 * [backup-simplify]: Simplify (log -1) into (log -1) 0.130 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.131 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.136 * [backup-simplify]: Simplify -1.0 into -1.0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.143 * [backup-simplify]: Simplify -0.5 into -0.5 0.144 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.144 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.144 * [backup-simplify]: Simplify (- (log (+ 1.0 N)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.144 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.144 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.144 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.145 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.145 * [taylor]: Taking taylor expansion of (log N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.145 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.145 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of 1.0 in N 0.145 * [backup-simplify]: Simplify 1.0 into 1.0 0.146 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.146 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.146 * [taylor]: Taking taylor expansion of (log N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.146 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.147 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.147 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.163 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.166 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.166 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.166 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.167 * [backup-simplify]: Simplify (log 1) into 0 0.167 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify (log 1) into 0 0.167 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.167 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [backup-simplify]: Simplify 1.0 into 1.0 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.168 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (log 1) into 0 0.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.169 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.170 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.185 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [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 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.207 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.207 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.207 * [backup-simplify]: Simplify (- (log (+ 1.0 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.207 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.208 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (- 1) into -1 0.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.209 * [backup-simplify]: Simplify (log -1) into (log -1) 0.209 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.209 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.209 * [taylor]: Taking taylor expansion of -1 in N 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ -1 1) into -1 0.209 * [backup-simplify]: Simplify (log -1) into (log -1) 0.209 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.209 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (- 1) into -1 0.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.211 * [backup-simplify]: Simplify (log -1) into (log -1) 0.211 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.211 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.211 * [taylor]: Taking taylor expansion of -1 in N 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ -1 1) into -1 0.211 * [backup-simplify]: Simplify (log -1) into (log -1) 0.212 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.212 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.213 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.213 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.220 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.234 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [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 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.263 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.265 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.265 * * * [progress]: simplifying candidates 0.267 * [simplify]: Simplifying: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log 1) (log (+ 1.0 N)) (log 1) (log (+ 1.0 N)) (log (+ (pow 1.0 3) (pow N 3))) (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log (- (* 1.0 1.0) (* N N))) (log (- 1.0 N)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (exp (log (+ 1.0 N))) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (exp (- (log (+ 1.0 N)) (log N))) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (pow (log (+ 1.0 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1.0 N)) (log (+ 1.0 N))) (+ (* (log N) (log N)) (* (log (+ 1.0 N)) (log N)))) (- (log N)) (- (* (log (+ 1.0 N)) (log (+ 1.0 N))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (- (log (+ 1.0 N)) (log 1)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (log N)) (+ (log (- 1.0 N)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.268 * * [simplify]: iteration 0: 100 enodes 0.299 * * [simplify]: iteration 1: 213 enodes 0.382 * * [simplify]: iteration 2: 637 enodes 0.879 * * [simplify]: iteration 3: 2683 enodes 1.488 * * [simplify]: iteration complete: 5000 enodes 1.489 * * [simplify]: Extracting #0: cost 39 inf + 0 1.489 * * [simplify]: Extracting #1: cost 227 inf + 1 1.492 * * [simplify]: Extracting #2: cost 1213 inf + 92 1.496 * * [simplify]: Extracting #3: cost 1098 inf + 2783 1.502 * * [simplify]: Extracting #4: cost 283 inf + 7412 1.507 * * [simplify]: Extracting #5: cost 88 inf + 8781 1.513 * * [simplify]: Extracting #6: cost 47 inf + 9078 1.518 * * [simplify]: Extracting #7: cost 5 inf + 9255 1.524 * * [simplify]: Extracting #8: cost 0 inf + 9280 1.539 * [simplify]: Simplified to: (* (log (cbrt (+ N 1.0))) 2) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow 1.0 3) (pow N 3))) (log (- (pow N 2) (* 1.0 (- N 1.0)))) (log (* (+ 1.0 N) (- 1.0 N))) (log (- 1.0 N)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N))) (* (log N) (log N))) (- (log N)) (* (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (* -2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (- (pow N 2) (* 1.0 (- N 1.0))))) (+ (log N) (log (- 1.0 N))) (- (log N)) (+ (+ (log 1.0) (* 1.0 N)) (* (* -1/2 (/ N 1.0)) (/ N 1.0))) (- (+ (/ 1.0 N) (log N)) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (log N)) (/ 0.5 (* N N))) (+ (log 1.0) (+ (- (* 1.0 N) (log N)) (* (* -1/2 (/ N 1.0)) (/ N 1.0)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N)))) 1.540 * * * [progress]: adding candidates to table 1.757 * * [progress]: iteration 2 / 4 1.757 * * * [progress]: picking best candidate 1.772 * * * * [pick]: Picked # 1.772 * * * [progress]: localizing error 1.788 * * * [progress]: generating rewritten candidates 1.788 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.797 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.831 * * * [progress]: generating series expansions 1.831 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.831 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.831 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.831 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.831 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.831 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.831 * [taylor]: Taking taylor expansion of N in N 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [taylor]: Taking taylor expansion of 1.0 in N 1.831 * [backup-simplify]: Simplify 1.0 into 1.0 1.831 * [taylor]: Taking taylor expansion of N in N 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.832 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.833 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.833 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.833 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.833 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.833 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.833 * [taylor]: Taking taylor expansion of N in N 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [taylor]: Taking taylor expansion of 1.0 in N 1.833 * [backup-simplify]: Simplify 1.0 into 1.0 1.833 * [taylor]: Taking taylor expansion of N in N 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.834 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.834 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.835 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.836 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.836 * [backup-simplify]: Simplify (+ 1 0) into 1 1.837 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.842 * [backup-simplify]: Simplify 1.0 into 1.0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.856 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.858 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 1.858 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.858 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.858 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.858 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.858 * [taylor]: Taking taylor expansion of N in N 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.858 * [taylor]: Taking taylor expansion of N in N 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [taylor]: Taking taylor expansion of 1.0 in N 1.859 * [backup-simplify]: Simplify 1.0 into 1.0 1.859 * [backup-simplify]: Simplify (+ 1 0) into 1 1.860 * [backup-simplify]: Simplify (* 0 1) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.862 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.862 * [backup-simplify]: Simplify (log 1) into 0 1.863 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.863 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (/ 1 1) into 1 1.863 * [taylor]: Taking taylor expansion of 1.0 in N 1.863 * [backup-simplify]: Simplify 1.0 into 1.0 1.864 * [backup-simplify]: Simplify (+ 1 0) into 1 1.864 * [backup-simplify]: Simplify (* 0 1) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.866 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.866 * [backup-simplify]: Simplify (log 1) into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.876 * [backup-simplify]: Simplify 1.0 into 1.0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.884 * [backup-simplify]: Simplify -0.5 into -0.5 1.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.895 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.895 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.895 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.895 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.895 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.895 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.895 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.895 * [taylor]: Taking taylor expansion of -1 in N 1.895 * [backup-simplify]: Simplify -1 into -1 1.895 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.895 * [taylor]: Taking taylor expansion of N in N 1.895 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.896 * [taylor]: Taking taylor expansion of 1.0 in N 1.896 * [backup-simplify]: Simplify 1.0 into 1.0 1.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.896 * [taylor]: Taking taylor expansion of N in N 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [backup-simplify]: Simplify (- 1) into -1 1.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.897 * [backup-simplify]: Simplify (* 0 -1) into 0 1.897 * [backup-simplify]: Simplify (* -1 0) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- 0) into 0 1.898 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.898 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.899 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.899 * [backup-simplify]: Simplify (log 1) into 0 1.899 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.899 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.899 * [taylor]: Taking taylor expansion of -1 in N 1.899 * [backup-simplify]: Simplify -1 into -1 1.899 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.899 * [taylor]: Taking taylor expansion of N in N 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.899 * [taylor]: Taking taylor expansion of 1.0 in N 1.899 * [backup-simplify]: Simplify 1.0 into 1.0 1.899 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.899 * [taylor]: Taking taylor expansion of N in N 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [backup-simplify]: Simplify (- 1) into -1 1.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.900 * [backup-simplify]: Simplify (* 0 -1) into 0 1.901 * [backup-simplify]: Simplify (* -1 0) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.902 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.902 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.903 * [backup-simplify]: Simplify (log 1) into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.907 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.912 * [backup-simplify]: Simplify -1.0 into -1.0 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.929 * [backup-simplify]: Simplify -0.5 into -0.5 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.932 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.942 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 1.942 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.942 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.942 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.942 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 1.942 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.942 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.942 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.942 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [taylor]: Taking taylor expansion of 1.0 in N 1.943 * [backup-simplify]: Simplify 1.0 into 1.0 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.943 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.943 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.943 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [taylor]: Taking taylor expansion of 1.0 in N 1.943 * [backup-simplify]: Simplify 1.0 into 1.0 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.944 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.944 * [backup-simplify]: Simplify 1.0 into 1.0 1.944 * [backup-simplify]: Simplify (+ 1 0) into 1 1.945 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 1.950 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 1.951 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.951 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.951 * [taylor]: Taking taylor expansion of 1.0 in N 1.951 * [backup-simplify]: Simplify 1.0 into 1.0 1.951 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.951 * [taylor]: Taking taylor expansion of 1.0 in N 1.951 * [backup-simplify]: Simplify 1.0 into 1.0 1.952 * [backup-simplify]: Simplify (+ 1 0) into 1 1.952 * [backup-simplify]: Simplify (* 0 1) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.953 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.953 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.956 * [backup-simplify]: Simplify 1.0 into 1.0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [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 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [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 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.967 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 1.967 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.967 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.967 * [taylor]: Taking taylor expansion of -1 in N 1.967 * [backup-simplify]: Simplify -1 into -1 1.967 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.967 * [taylor]: Taking taylor expansion of N in N 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.967 * [taylor]: Taking taylor expansion of 1.0 in N 1.967 * [backup-simplify]: Simplify 1.0 into 1.0 1.967 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.967 * [taylor]: Taking taylor expansion of N in N 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.967 * [taylor]: Taking taylor expansion of -1 in N 1.967 * [backup-simplify]: Simplify -1 into -1 1.967 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.967 * [taylor]: Taking taylor expansion of N in N 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.968 * [taylor]: Taking taylor expansion of 1.0 in N 1.968 * [backup-simplify]: Simplify 1.0 into 1.0 1.968 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.968 * [taylor]: Taking taylor expansion of N in N 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [backup-simplify]: Simplify (- 1) into -1 1.968 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.969 * [backup-simplify]: Simplify (* 0 -1) into 0 1.969 * [backup-simplify]: Simplify (* -1 0) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.970 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.971 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (- 0) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.975 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.975 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.980 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (- 0) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 1.983 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 1.986 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [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 1.987 * [backup-simplify]: Simplify (- 0) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 1.989 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.990 * [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 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 1.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.993 * * * [progress]: simplifying candidates 1.994 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.996 * * [simplify]: iteration 0: 108 enodes 2.033 * * [simplify]: iteration 1: 243 enodes 2.167 * * [simplify]: iteration 2: 1007 enodes 2.490 * * [simplify]: iteration complete: 5000 enodes 2.490 * * [simplify]: Extracting #0: cost 63 inf + 0 2.493 * * [simplify]: Extracting #1: cost 545 inf + 2 2.511 * * [simplify]: Extracting #2: cost 1691 inf + 76 2.522 * * [simplify]: Extracting #3: cost 2395 inf + 1684 2.538 * * [simplify]: Extracting #4: cost 591 inf + 13943 2.553 * * [simplify]: Extracting #5: cost 15 inf + 18919 2.568 * * [simplify]: Extracting #6: cost 0 inf + 18958 2.583 * * [simplify]: Extracting #7: cost 0 inf + 18952 2.603 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (* 2 (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (- (* 2 (log (cbrt (+ 1.0 N)))) (log (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (* 2 (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (pow (log (/ (+ 1.0 N) N)) 3) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (pow (/ (+ 1.0 N) N) 3) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ 1.0 N)) (- N) (* (/ (cbrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (/ (sqrt N) (cbrt (+ 1.0 N)))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* N N) (* 1.0 (- 1.0 N)))) (* (- N 1.0) N) (- (+ (log 1.0) (- (* N 1.0) (log N))) (* (/ 1/2 1.0) (/ (pow N 2) 1.0))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 2.604 * * * [progress]: adding candidates to table 2.884 * * [progress]: iteration 3 / 4 2.884 * * * [progress]: picking best candidate 2.897 * * * * [pick]: Picked # 2.898 * * * [progress]: localizing error 2.922 * * * [progress]: generating rewritten candidates 2.922 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.929 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.941 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.947 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 2.959 * * * [progress]: generating series expansions 2.959 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.959 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 N)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 2.959 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.959 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.959 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.959 * [taylor]: Taking taylor expansion of 1/3 in N 2.959 * [backup-simplify]: Simplify 1/3 into 1/3 2.959 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.959 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.960 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.960 * [taylor]: Taking taylor expansion of N in N 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [taylor]: Taking taylor expansion of 1.0 in N 2.960 * [backup-simplify]: Simplify 1.0 into 1.0 2.960 * [taylor]: Taking taylor expansion of N in N 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.961 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.961 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.962 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.963 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 2.963 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 2.964 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 2.964 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.964 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.964 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.964 * [taylor]: Taking taylor expansion of 1/3 in N 2.964 * [backup-simplify]: Simplify 1/3 into 1/3 2.964 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.964 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.964 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.964 * [taylor]: Taking taylor expansion of N in N 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [taylor]: Taking taylor expansion of 1.0 in N 2.964 * [backup-simplify]: Simplify 1.0 into 1.0 2.964 * [taylor]: Taking taylor expansion of N in N 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.965 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.966 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.967 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.967 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 2.967 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 2.968 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 2.969 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 2.969 * [backup-simplify]: Simplify (+ 1 0) into 1 2.971 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.977 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.978 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 2.980 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 2.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 2.981 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.987 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.989 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 2.995 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 2.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 2.999 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 3.001 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 3.001 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 N))) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 3.001 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 3.001 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 3.001 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 3.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 3.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 3.001 * [taylor]: Taking taylor expansion of 1/3 in N 3.001 * [backup-simplify]: Simplify 1/3 into 1/3 3.001 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.001 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.001 * [taylor]: Taking taylor expansion of N in N 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.001 * [taylor]: Taking taylor expansion of N in N 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [taylor]: Taking taylor expansion of 1.0 in N 3.001 * [backup-simplify]: Simplify 1.0 into 1.0 3.002 * [backup-simplify]: Simplify (+ 1 0) into 1 3.002 * [backup-simplify]: Simplify (* 0 1) into 0 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.003 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.003 * [backup-simplify]: Simplify (log 1) into 0 3.003 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ 0 0) into 0 3.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.010 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 3.010 * [backup-simplify]: Simplify (exp 0) into 1 3.010 * [backup-simplify]: Simplify (log 1) into 0 3.010 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 3.010 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 3.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 3.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 3.011 * [taylor]: Taking taylor expansion of 1/3 in N 3.011 * [backup-simplify]: Simplify 1/3 into 1/3 3.011 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.011 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.011 * [taylor]: Taking taylor expansion of N in N 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.011 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.011 * [taylor]: Taking taylor expansion of N in N 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [backup-simplify]: Simplify (/ 1 1) into 1 3.011 * [taylor]: Taking taylor expansion of 1.0 in N 3.011 * [backup-simplify]: Simplify 1.0 into 1.0 3.011 * [backup-simplify]: Simplify (+ 1 0) into 1 3.011 * [backup-simplify]: Simplify (* 0 1) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.013 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.013 * [backup-simplify]: Simplify (log 1) into 0 3.013 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (+ 0 0) into 0 3.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.020 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 3.020 * [backup-simplify]: Simplify (exp 0) into 1 3.020 * [backup-simplify]: Simplify (log 1) into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 3.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 3.026 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.042 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 3.054 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 3.068 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 3.068 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (+ 0 0) into 0 3.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.081 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.083 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 3.091 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 3.105 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 3.106 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 3.106 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 3.106 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 (- N)))) (cbrt (/ 1 (- N))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) 3.106 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 3.106 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 3.106 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 3.106 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 3.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 3.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 3.106 * [taylor]: Taking taylor expansion of 1/3 in N 3.106 * [backup-simplify]: Simplify 1/3 into 1/3 3.106 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 3.106 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.106 * [taylor]: Taking taylor expansion of N in N 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.106 * [taylor]: Taking taylor expansion of 1.0 in N 3.106 * [backup-simplify]: Simplify 1.0 into 1.0 3.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.106 * [taylor]: Taking taylor expansion of N in N 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (/ 1 1) into 1 3.107 * [backup-simplify]: Simplify (- 1) into -1 3.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.107 * [backup-simplify]: Simplify (* 0 -1) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (- 0) into 0 3.108 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.109 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.109 * [backup-simplify]: Simplify (log -1) into (log -1) 3.110 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.111 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.111 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 3.111 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.111 * [taylor]: Taking taylor expansion of -1 in N 3.111 * [backup-simplify]: Simplify -1 into -1 3.111 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.112 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.112 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 3.114 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 3.116 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.116 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 3.116 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 3.116 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 3.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 3.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 3.116 * [taylor]: Taking taylor expansion of 1/3 in N 3.116 * [backup-simplify]: Simplify 1/3 into 1/3 3.116 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 3.116 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.116 * [taylor]: Taking taylor expansion of N in N 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.116 * [taylor]: Taking taylor expansion of 1.0 in N 3.116 * [backup-simplify]: Simplify 1.0 into 1.0 3.116 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.116 * [taylor]: Taking taylor expansion of N in N 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (/ 1 1) into 1 3.116 * [backup-simplify]: Simplify (- 1) into -1 3.117 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.117 * [backup-simplify]: Simplify (* 0 -1) into 0 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (- 0) into 0 3.118 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.118 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.119 * [backup-simplify]: Simplify (log -1) into (log -1) 3.119 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.120 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.120 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 3.120 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.120 * [taylor]: Taking taylor expansion of -1 in N 3.120 * [backup-simplify]: Simplify -1 into -1 3.120 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.121 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.121 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 3.123 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 3.126 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.130 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (- 0) into 0 3.133 * [backup-simplify]: Simplify (+ 0 0) into 0 3.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.144 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 3.151 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 3.156 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (/ 1 (cbrt -1)))) into (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 3.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 1) into -0.3333333333333333 3.183 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (- 0) into 0 3.188 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.202 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 3.208 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 3.213 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (/ 1 (cbrt -1))))) into (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 3.257 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 2)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 2) into -0.16666666666666666 3.257 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.260 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (/ 1 (cbrt -1)) (pow -1 1/3))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 3.260 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.260 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 N)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 3.260 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 3.260 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 3.260 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 3.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 3.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 3.260 * [taylor]: Taking taylor expansion of 1/3 in N 3.260 * [backup-simplify]: Simplify 1/3 into 1/3 3.260 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.260 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.260 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.260 * [taylor]: Taking taylor expansion of N in N 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [taylor]: Taking taylor expansion of 1.0 in N 3.260 * [backup-simplify]: Simplify 1.0 into 1.0 3.260 * [taylor]: Taking taylor expansion of N in N 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.261 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.261 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.262 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.262 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 3.263 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 3.263 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 3.263 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 3.263 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 3.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 3.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 3.263 * [taylor]: Taking taylor expansion of 1/3 in N 3.263 * [backup-simplify]: Simplify 1/3 into 1/3 3.263 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.263 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.263 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.263 * [taylor]: Taking taylor expansion of N in N 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [taylor]: Taking taylor expansion of 1.0 in N 3.263 * [backup-simplify]: Simplify 1.0 into 1.0 3.263 * [taylor]: Taking taylor expansion of N in N 3.263 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.264 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.264 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.265 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 3.266 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 3.266 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 3.266 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 3.267 * [backup-simplify]: Simplify (+ 1 0) into 1 3.267 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.271 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.272 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 3.273 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 3.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 3.274 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.275 * [backup-simplify]: Simplify (+ 0 0) into 0 3.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.288 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 3.299 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 3.306 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 3.308 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 3.309 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 N))) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 3.309 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 3.309 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 3.309 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 3.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 3.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 3.309 * [taylor]: Taking taylor expansion of 1/3 in N 3.309 * [backup-simplify]: Simplify 1/3 into 1/3 3.309 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.309 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.309 * [taylor]: Taking taylor expansion of N in N 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.309 * [taylor]: Taking taylor expansion of N in N 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (/ 1 1) into 1 3.309 * [taylor]: Taking taylor expansion of 1.0 in N 3.310 * [backup-simplify]: Simplify 1.0 into 1.0 3.310 * [backup-simplify]: Simplify (+ 1 0) into 1 3.310 * [backup-simplify]: Simplify (* 0 1) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.313 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.313 * [backup-simplify]: Simplify (log 1) into 0 3.314 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.324 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 3.325 * [backup-simplify]: Simplify (exp 0) into 1 3.325 * [backup-simplify]: Simplify (log 1) into 0 3.325 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 3.325 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 3.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 3.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 3.325 * [taylor]: Taking taylor expansion of 1/3 in N 3.325 * [backup-simplify]: Simplify 1/3 into 1/3 3.325 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.325 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.325 * [taylor]: Taking taylor expansion of N in N 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.325 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.325 * [taylor]: Taking taylor expansion of N in N 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (/ 1 1) into 1 3.325 * [taylor]: Taking taylor expansion of 1.0 in N 3.325 * [backup-simplify]: Simplify 1.0 into 1.0 3.326 * [backup-simplify]: Simplify (+ 1 0) into 1 3.326 * [backup-simplify]: Simplify (* 0 1) into 0 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.327 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.327 * [backup-simplify]: Simplify (log 1) into 0 3.328 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (+ 0 0) into 0 3.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.335 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 3.335 * [backup-simplify]: Simplify (exp 0) into 1 3.335 * [backup-simplify]: Simplify (log 1) into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 3.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 3.341 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.348 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.350 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 3.354 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 3.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 3.368 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.369 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.381 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.383 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 3.394 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 3.408 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 3.408 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 3.408 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 3.409 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 (- N)))) (cbrt (/ 1 (- N))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) 3.409 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 3.409 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 3.409 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 3.409 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 3.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 3.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 3.409 * [taylor]: Taking taylor expansion of 1/3 in N 3.409 * [backup-simplify]: Simplify 1/3 into 1/3 3.409 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 3.409 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.409 * [taylor]: Taking taylor expansion of N in N 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.409 * [taylor]: Taking taylor expansion of 1.0 in N 3.409 * [backup-simplify]: Simplify 1.0 into 1.0 3.409 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.409 * [taylor]: Taking taylor expansion of N in N 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (/ 1 1) into 1 3.410 * [backup-simplify]: Simplify (- 1) into -1 3.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.410 * [backup-simplify]: Simplify (* 0 -1) into 0 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (- 0) into 0 3.411 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.412 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.413 * [backup-simplify]: Simplify (log -1) into (log -1) 3.413 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.415 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.415 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 3.415 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.415 * [taylor]: Taking taylor expansion of -1 in N 3.415 * [backup-simplify]: Simplify -1 into -1 3.415 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.416 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.416 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 3.418 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 3.420 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.420 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 3.420 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 3.420 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 3.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 3.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 3.420 * [taylor]: Taking taylor expansion of 1/3 in N 3.420 * [backup-simplify]: Simplify 1/3 into 1/3 3.420 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 3.420 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.420 * [taylor]: Taking taylor expansion of N in N 3.420 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.421 * [taylor]: Taking taylor expansion of 1.0 in N 3.421 * [backup-simplify]: Simplify 1.0 into 1.0 3.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.421 * [taylor]: Taking taylor expansion of N in N 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [backup-simplify]: Simplify (/ 1 1) into 1 3.421 * [backup-simplify]: Simplify (- 1) into -1 3.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.422 * [backup-simplify]: Simplify (* 0 -1) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.424 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.425 * [backup-simplify]: Simplify (log -1) into (log -1) 3.426 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 3.427 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 3.427 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 3.428 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.428 * [taylor]: Taking taylor expansion of -1 in N 3.428 * [backup-simplify]: Simplify -1 into -1 3.428 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.429 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.430 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 3.432 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 3.434 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.436 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 3.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.437 * [backup-simplify]: Simplify (- 0) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.444 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 3.448 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 3.451 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (/ 1 (cbrt -1)))) into (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 3.471 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 1) into -0.3333333333333333 3.471 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify (- 0) into 0 3.476 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.491 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 3.505 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 3.514 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (/ 1 (cbrt -1))))) into (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 3.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 2)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 2) into -0.16666666666666666 3.557 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 3.559 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (/ 1 (cbrt -1)) (pow -1 1/3))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 3.559 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.559 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.559 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.559 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.559 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.559 * [taylor]: Taking taylor expansion of 1/3 in N 3.560 * [backup-simplify]: Simplify 1/3 into 1/3 3.560 * [taylor]: Taking taylor expansion of (log N) in N 3.560 * [taylor]: Taking taylor expansion of N in N 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (log 1) into 0 3.560 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.560 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.560 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.560 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.560 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.560 * [taylor]: Taking taylor expansion of 1/3 in N 3.560 * [backup-simplify]: Simplify 1/3 into 1/3 3.560 * [taylor]: Taking taylor expansion of (log N) in N 3.560 * [taylor]: Taking taylor expansion of N in N 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify (log 1) into 0 3.561 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.561 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.561 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.561 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.562 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.563 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.565 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.565 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.569 * [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 3.569 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.570 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.571 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.577 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.578 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.594 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.596 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.600 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.600 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.632 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.636 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.637 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.637 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.637 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.637 * [taylor]: Taking taylor expansion of 1/3 in N 3.637 * [backup-simplify]: Simplify 1/3 into 1/3 3.637 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.637 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.637 * [taylor]: Taking taylor expansion of N in N 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (/ 1 1) into 1 3.637 * [backup-simplify]: Simplify (log 1) into 0 3.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.638 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.638 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.638 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.638 * [taylor]: Taking taylor expansion of 1/3 in N 3.638 * [backup-simplify]: Simplify 1/3 into 1/3 3.638 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.638 * [taylor]: Taking taylor expansion of N in N 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (/ 1 1) into 1 3.638 * [backup-simplify]: Simplify (log 1) into 0 3.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.639 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.639 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.639 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.640 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.641 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.641 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.641 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.643 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.643 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.644 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.645 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.648 * [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 3.649 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.649 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.650 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.657 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.660 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.670 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.671 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.675 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.710 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.718 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.719 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.719 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.719 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.719 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.719 * [taylor]: Taking taylor expansion of 1/3 in N 3.719 * [backup-simplify]: Simplify 1/3 into 1/3 3.719 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.719 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.719 * [taylor]: Taking taylor expansion of N in N 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [backup-simplify]: Simplify (log 1) into 0 3.720 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.720 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.720 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.720 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.720 * [taylor]: Taking taylor expansion of -1 in N 3.720 * [backup-simplify]: Simplify -1 into -1 3.720 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.721 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.721 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.721 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.721 * [taylor]: Taking taylor expansion of 1/3 in N 3.721 * [backup-simplify]: Simplify 1/3 into 1/3 3.721 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.721 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.721 * [taylor]: Taking taylor expansion of N in N 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 1 into 1 3.721 * [backup-simplify]: Simplify (/ 1 1) into 1 3.721 * [backup-simplify]: Simplify (log 1) into 0 3.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.722 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.722 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.722 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.722 * [taylor]: Taking taylor expansion of -1 in N 3.722 * [backup-simplify]: Simplify -1 into -1 3.722 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.723 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.723 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.723 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.725 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.726 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.731 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.732 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.733 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.733 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.733 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.738 * [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 3.738 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.739 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.740 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.740 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.748 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.748 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.749 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.751 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.752 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.752 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.770 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.771 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.775 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 3.776 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.808 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.809 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.813 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.814 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 3.814 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 3.814 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.814 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.814 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.814 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.814 * [taylor]: Taking taylor expansion of 1/3 in N 3.814 * [backup-simplify]: Simplify 1/3 into 1/3 3.814 * [taylor]: Taking taylor expansion of (log N) in N 3.814 * [taylor]: Taking taylor expansion of N in N 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (log 1) into 0 3.815 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.815 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.815 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.815 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.815 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.815 * [taylor]: Taking taylor expansion of 1/3 in N 3.815 * [backup-simplify]: Simplify 1/3 into 1/3 3.815 * [taylor]: Taking taylor expansion of (log N) in N 3.815 * [taylor]: Taking taylor expansion of N in N 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (log 1) into 0 3.816 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.816 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.816 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.816 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.817 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.817 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.818 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.820 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.820 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.821 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.821 * [backup-simplify]: Simplify 0 into 0 3.824 * [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 3.824 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.825 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.826 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.826 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.832 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.834 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.837 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.857 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.860 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.863 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.890 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.891 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.894 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.894 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.895 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.895 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.895 * [taylor]: Taking taylor expansion of 1/3 in N 3.895 * [backup-simplify]: Simplify 1/3 into 1/3 3.895 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.895 * [taylor]: Taking taylor expansion of N in N 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (/ 1 1) into 1 3.895 * [backup-simplify]: Simplify (log 1) into 0 3.896 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.896 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.896 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.896 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.896 * [taylor]: Taking taylor expansion of 1/3 in N 3.896 * [backup-simplify]: Simplify 1/3 into 1/3 3.896 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.896 * [taylor]: Taking taylor expansion of N in N 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [backup-simplify]: Simplify (/ 1 1) into 1 3.896 * [backup-simplify]: Simplify (log 1) into 0 3.897 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.897 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.897 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.897 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.898 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.899 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.901 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.902 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.902 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.903 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [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 3.906 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.907 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.908 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.908 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.915 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.917 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.918 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.929 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.931 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.933 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.933 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.956 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.956 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.962 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.963 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.963 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.963 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.963 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.963 * [taylor]: Taking taylor expansion of 1/3 in N 3.963 * [backup-simplify]: Simplify 1/3 into 1/3 3.963 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.963 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.963 * [taylor]: Taking taylor expansion of N in N 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (/ 1 1) into 1 3.964 * [backup-simplify]: Simplify (log 1) into 0 3.964 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.964 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.965 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.965 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.965 * [taylor]: Taking taylor expansion of -1 in N 3.965 * [backup-simplify]: Simplify -1 into -1 3.965 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.966 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.966 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.966 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.966 * [taylor]: Taking taylor expansion of 1/3 in N 3.966 * [backup-simplify]: Simplify 1/3 into 1/3 3.966 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.966 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.966 * [taylor]: Taking taylor expansion of N in N 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [backup-simplify]: Simplify (log 1) into 0 3.967 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.967 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.967 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.967 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.967 * [taylor]: Taking taylor expansion of -1 in N 3.967 * [backup-simplify]: Simplify -1 into -1 3.967 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.968 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.968 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.969 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.970 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.971 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.971 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.972 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.975 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.976 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.976 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [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 3.981 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.982 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.983 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.984 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.992 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.993 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.994 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.995 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.995 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.011 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.016 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.037 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.038 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.042 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.043 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.043 * * * [progress]: simplifying candidates 4.051 * [simplify]: Simplifying: (log (* (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N))) (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt 1))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt N))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ 1.0 N))) (sqrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) 1)) (log (/ (cbrt (cbrt (+ 1.0 N))) 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N))))) (log (/ (cbrt (+ 1.0 N)) (cbrt (cbrt N)))) (log (/ 1 (sqrt (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (sqrt (cbrt N)))) (log (/ 1 1)) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log 1) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (cbrt (+ 1.0 N))) (log (/ 1 (cbrt N))) (log (cbrt (+ 1.0 N))) (log (cbrt N)) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (exp (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (* (cbrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (cbrt (log (/ (cbrt (+ 1.0 N)) (cbrt N))))) (cbrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (* (* (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (sqrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (sqrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) 4.053 * * [simplify]: iteration 0: 179 enodes 4.094 * * [simplify]: iteration 1: 345 enodes 4.188 * * [simplify]: iteration 2: 997 enodes 4.767 * * [simplify]: iteration 3: 4310 enodes 5.480 * * [simplify]: iteration complete: 5000 enodes 5.480 * * [simplify]: Extracting #0: cost 63 inf + 0 5.482 * * [simplify]: Extracting #1: cost 839 inf + 3 5.487 * * [simplify]: Extracting #2: cost 1444 inf + 132 5.493 * * [simplify]: Extracting #3: cost 1305 inf + 1594 5.499 * * [simplify]: Extracting #4: cost 382 inf + 8301 5.504 * * [simplify]: Extracting #5: cost 11 inf + 11779 5.513 * * [simplify]: Extracting #6: cost 0 inf + 11731 5.528 * * [simplify]: Extracting #7: cost 0 inf + 11730 5.540 * [simplify]: Simplified to: (* (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) 2) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (pow N 2/3)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (pow N 2/3)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (cbrt (sqrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (sqrt (+ N 1.0)))) (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (cbrt (sqrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (cbrt (pow N 2/3)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (- (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (* 2 (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (- (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (pow N 2/3)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (sqrt (cbrt (+ N 1.0)))) (* 2 (log (cbrt (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (cbrt (+ N 1.0))) (* (log N) -1/3) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N))))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (pow (log (/ (cbrt (+ N 1.0)) (cbrt N))) 3) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) 2) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (pow N 2/3)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (pow N 2/3)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (cbrt (sqrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (sqrt (+ N 1.0)))) (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (cbrt (sqrt (+ N 1.0)))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (cbrt (pow N 2/3)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (- (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (cbrt (sqrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (* 2 (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (- (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (sqrt (cbrt N)))) (log (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (* 2 (log (cbrt (cbrt (+ N 1.0))))) (log (/ (cbrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (pow N 2/3)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (sqrt (cbrt (+ N 1.0)))) (* 2 (log (cbrt (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (- (log (cbrt (pow N 2/3)))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (cbrt N))))) (log (/ (cbrt (+ N 1.0)) (cbrt (cbrt N)))) (- (log (sqrt (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) 0 (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (cbrt (+ N 1.0))) (* (log N) -1/3) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N))))) (cbrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (pow (log (/ (cbrt (+ N 1.0)) (cbrt N))) 3) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (sqrt (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (+ (- (* 1/3 (log 1.0)) (+ (log (cbrt N)) (* (* 1/6 (/ N 1.0)) (/ N 1.0)))) (* 0.3333333333333333 N)) (+ (- (/ 0.3333333333333333 N) (/ 0.16666666666666666 (* N N))) (/ 0.1111111111111111 (pow N 3))) (+ (- (/ 0.3333333333333333 N) (/ 0.16666666666666666 (* N N))) 0) (+ (- (* 1/3 (log 1.0)) (+ (log (cbrt N)) (* (* 1/6 (/ N 1.0)) (/ N 1.0)))) (* 0.3333333333333333 N)) (+ (- (/ 0.3333333333333333 N) (/ 0.16666666666666666 (* N N))) (/ 0.1111111111111111 (pow N 3))) (+ (- (/ 0.3333333333333333 N) (/ 0.16666666666666666 (* N N))) 0) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) 5.543 * * * [progress]: adding candidates to table 6.365 * * [progress]: iteration 4 / 4 6.365 * * * [progress]: picking best candidate 6.397 * * * * [pick]: Picked # 6.397 * * * [progress]: localizing error 6.487 * * * [progress]: generating rewritten candidates 6.487 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 6.496 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 6.504 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 6.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 6.525 * * * [progress]: generating series expansions 6.525 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 6.526 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) into (log (pow (/ (+ N 1.0) N) 1/9)) 6.526 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in (N) around 0 6.526 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in N 6.526 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/9) in N 6.526 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ N 1.0) N)))) in N 6.526 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ N 1.0) N))) in N 6.526 * [taylor]: Taking taylor expansion of 1/9 in N 6.526 * [backup-simplify]: Simplify 1/9 into 1/9 6.526 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.526 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.526 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.526 * [taylor]: Taking taylor expansion of N in N 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify 1 into 1 6.526 * [taylor]: Taking taylor expansion of 1.0 in N 6.526 * [backup-simplify]: Simplify 1.0 into 1.0 6.526 * [taylor]: Taking taylor expansion of N in N 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify 1 into 1 6.527 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.527 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.528 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.529 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.529 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 6.529 * [backup-simplify]: Simplify (exp (* 1/9 (- (log 1.0) (log N)))) into (exp (* 1/9 (- (log 1.0) (log N)))) 6.530 * [backup-simplify]: Simplify (log (exp (* 1/9 (- (log 1.0) (log N))))) into (* 1/9 (- (log 1.0) (log N))) 6.530 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in N 6.530 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/9) in N 6.530 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ N 1.0) N)))) in N 6.530 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ N 1.0) N))) in N 6.530 * [taylor]: Taking taylor expansion of 1/9 in N 6.530 * [backup-simplify]: Simplify 1/9 into 1/9 6.530 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.530 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.530 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.530 * [taylor]: Taking taylor expansion of N in N 6.530 * [backup-simplify]: Simplify 0 into 0 6.530 * [backup-simplify]: Simplify 1 into 1 6.530 * [taylor]: Taking taylor expansion of 1.0 in N 6.530 * [backup-simplify]: Simplify 1.0 into 1.0 6.531 * [taylor]: Taking taylor expansion of N in N 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 1 into 1 6.531 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.532 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.532 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.533 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.533 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 6.534 * [backup-simplify]: Simplify (exp (* 1/9 (- (log 1.0) (log N)))) into (exp (* 1/9 (- (log 1.0) (log N)))) 6.534 * [backup-simplify]: Simplify (log (exp (* 1/9 (- (log 1.0) (log N))))) into (* 1/9 (- (log 1.0) (log N))) 6.535 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 6.535 * [backup-simplify]: Simplify (+ 1 0) into 1 6.536 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.543 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.543 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 (- (log 1.0) (log N)))) into 0.1111111111111111 6.552 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.1111111111111111 1) 1)))) into (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N))))) 6.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 1)))) 1) into 0.1111111111111111 6.554 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 6.554 * [backup-simplify]: Simplify (+ 0 0) into 0 6.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.567 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.570 * [backup-simplify]: Simplify (+ (* 1/9 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/18 (/ 1 (pow 1.0 2)))) 6.580 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.1111111111111111 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.006172839506172839 (* 1/18 (/ 1 (pow 1.0 2)))) (exp (* 1/9 (- (log 1.0) (log N))))) 6.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.006172839506172839 (* 1/18 (/ 1 (pow 1.0 2)))) (exp (* 1/9 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/18 (pow 1.0 2)) 6.587 * [backup-simplify]: Simplify (/ -1/18 (pow 1.0 2)) into (/ -1/18 (pow 1.0 2)) 6.589 * [backup-simplify]: Simplify (+ (* (/ -1/18 (pow 1.0 2)) (pow N 2)) (+ (* 0.1111111111111111 N) (* 1/9 (- (log 1.0) (log N))))) into (- (+ (* 1/9 (log 1.0)) (* 0.1111111111111111 N)) (+ (* 1/18 (/ (pow N 2) (pow 1.0 2))) (* 1/9 (log N)))) 6.589 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) 6.589 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in (N) around 0 6.589 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in N 6.589 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/9) in N 6.590 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (+ (/ 1 N) 1.0))))) in N 6.590 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (+ (/ 1 N) 1.0)))) in N 6.590 * [taylor]: Taking taylor expansion of 1/9 in N 6.590 * [backup-simplify]: Simplify 1/9 into 1/9 6.590 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.590 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.590 * [taylor]: Taking taylor expansion of N in N 6.590 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify 1 into 1 6.590 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.590 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.590 * [taylor]: Taking taylor expansion of N in N 6.590 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify 1 into 1 6.590 * [backup-simplify]: Simplify (/ 1 1) into 1 6.590 * [taylor]: Taking taylor expansion of 1.0 in N 6.590 * [backup-simplify]: Simplify 1.0 into 1.0 6.591 * [backup-simplify]: Simplify (+ 1 0) into 1 6.592 * [backup-simplify]: Simplify (* 0 1) into 0 6.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.593 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.594 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.594 * [backup-simplify]: Simplify (log 1) into 0 6.594 * [backup-simplify]: Simplify (* 1/9 0) into 0 6.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.596 * [backup-simplify]: Simplify (+ 0 0) into 0 6.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.607 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 0)) into 0.1111111111111111 6.608 * [backup-simplify]: Simplify (exp 0) into 1 6.608 * [backup-simplify]: Simplify (log 1) into 0 6.608 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in N 6.608 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/9) in N 6.608 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (+ (/ 1 N) 1.0))))) in N 6.608 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (+ (/ 1 N) 1.0)))) in N 6.608 * [taylor]: Taking taylor expansion of 1/9 in N 6.608 * [backup-simplify]: Simplify 1/9 into 1/9 6.608 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.608 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.608 * [taylor]: Taking taylor expansion of N in N 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 1 into 1 6.608 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.608 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.608 * [taylor]: Taking taylor expansion of N in N 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 1 into 1 6.609 * [backup-simplify]: Simplify (/ 1 1) into 1 6.609 * [taylor]: Taking taylor expansion of 1.0 in N 6.609 * [backup-simplify]: Simplify 1.0 into 1.0 6.609 * [backup-simplify]: Simplify (+ 1 0) into 1 6.610 * [backup-simplify]: Simplify (* 0 1) into 0 6.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.611 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.612 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.612 * [backup-simplify]: Simplify (log 1) into 0 6.613 * [backup-simplify]: Simplify (* 1/9 0) into 0 6.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.614 * [backup-simplify]: Simplify (+ 0 0) into 0 6.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.625 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 0)) into 0.1111111111111111 6.625 * [backup-simplify]: Simplify (exp 0) into 1 6.625 * [backup-simplify]: Simplify (log 1) into 0 6.625 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 1) 1)))) into 0.1111111111111111 6.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.1111111111111111) 1)) (pow 1 1)))) 1) into 0.1111111111111111 6.636 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 6.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.638 * [backup-simplify]: Simplify (+ 0 0) into 0 6.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 6.650 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 6.653 * [backup-simplify]: Simplify (+ (* 1/9 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.05555555555555555) 6.660 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 2) 2)) (* (/ (pow (- 0.05555555555555555) 1) 1)))) into -0.04938271604938271 6.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.1111111111111111) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.04938271604938271) 1)) (pow 1 1)))) 2) into -0.05555555555555555 6.674 * [backup-simplify]: Simplify -0.05555555555555555 into -0.05555555555555555 6.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (+ 0 0) into 0 6.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 6.699 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 6.702 * [backup-simplify]: Simplify (+ (* 1/9 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.037037037037037035 6.716 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 3) 6)) (* (/ (pow 0.1111111111111111 1) 1) (/ (pow (- 0.05555555555555555) 1) 1)) (* (/ (pow 0.037037037037037035 1) 1)))) into 0.031092821216278006 6.735 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.1111111111111111) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.1111111111111111) 1) (pow (* 2 -0.04938271604938271) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.031092821216278006) 1)) (pow 1 1)))) 6) into 0.037037037037037035 6.735 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 6.735 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 (pow (/ 1 N) 3)) (+ (* -0.05555555555555555 (pow (/ 1 N) 2)) (* 0.1111111111111111 (/ 1 N)))) into (- (+ (* 0.037037037037037035 (/ 1 (pow N 3))) (* 0.1111111111111111 (/ 1 N))) (* 0.05555555555555555 (/ 1 (pow N 2)))) 6.736 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) 6.736 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in (N) around 0 6.736 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in N 6.736 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3)) in N 6.736 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/9) in N 6.736 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (- 1.0 (/ 1 N)))))) in N 6.736 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (- 1.0 (/ 1 N))))) in N 6.736 * [taylor]: Taking taylor expansion of 1/9 in N 6.736 * [backup-simplify]: Simplify 1/9 into 1/9 6.736 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 6.736 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.736 * [taylor]: Taking taylor expansion of N in N 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.736 * [taylor]: Taking taylor expansion of 1.0 in N 6.736 * [backup-simplify]: Simplify 1.0 into 1.0 6.736 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.736 * [taylor]: Taking taylor expansion of N in N 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (/ 1 1) into 1 6.737 * [backup-simplify]: Simplify (- 1) into -1 6.737 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.737 * [backup-simplify]: Simplify (* 0 -1) into 0 6.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.738 * [backup-simplify]: Simplify (- 0) into 0 6.738 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.739 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.739 * [backup-simplify]: Simplify (log -1) into (log -1) 6.739 * [backup-simplify]: Simplify (* 1/9 (log -1)) into (* 1/9 (log -1)) 6.741 * [backup-simplify]: Simplify (exp (* 1/9 (log -1))) into (pow -1 1/9) 6.741 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 6.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 6.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 6.741 * [taylor]: Taking taylor expansion of 1/3 in N 6.741 * [backup-simplify]: Simplify 1/3 into 1/3 6.741 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 6.741 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 6.741 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.741 * [taylor]: Taking taylor expansion of -1 in N 6.741 * [backup-simplify]: Simplify -1 into -1 6.741 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.742 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.742 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 6.743 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 6.745 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (cbrt -1)))) into (* 1/3 (log (/ 1 (cbrt -1)))) 6.747 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/3) 6.749 * [backup-simplify]: Simplify (* (pow -1 1/9) (pow (/ 1 (cbrt -1)) 1/3)) into (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 6.752 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 6.752 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in N 6.752 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3)) in N 6.752 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/9) in N 6.752 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (- 1.0 (/ 1 N)))))) in N 6.752 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (- 1.0 (/ 1 N))))) in N 6.752 * [taylor]: Taking taylor expansion of 1/9 in N 6.752 * [backup-simplify]: Simplify 1/9 into 1/9 6.752 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 6.752 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 6.752 * [taylor]: Taking taylor expansion of N in N 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.752 * [taylor]: Taking taylor expansion of 1.0 in N 6.752 * [backup-simplify]: Simplify 1.0 into 1.0 6.752 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.752 * [taylor]: Taking taylor expansion of N in N 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.753 * [backup-simplify]: Simplify (/ 1 1) into 1 6.753 * [backup-simplify]: Simplify (- 1) into -1 6.753 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.753 * [backup-simplify]: Simplify (* 0 -1) into 0 6.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.754 * [backup-simplify]: Simplify (- 0) into 0 6.754 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.755 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 6.755 * [backup-simplify]: Simplify (log -1) into (log -1) 6.756 * [backup-simplify]: Simplify (* 1/9 (log -1)) into (* 1/9 (log -1)) 6.757 * [backup-simplify]: Simplify (exp (* 1/9 (log -1))) into (pow -1 1/9) 6.757 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 6.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 6.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 6.757 * [taylor]: Taking taylor expansion of 1/3 in N 6.757 * [backup-simplify]: Simplify 1/3 into 1/3 6.757 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 6.757 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 6.757 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.757 * [taylor]: Taking taylor expansion of -1 in N 6.757 * [backup-simplify]: Simplify -1 into -1 6.757 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.758 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.758 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 6.759 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 6.761 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (cbrt -1)))) into (* 1/3 (log (/ 1 (cbrt -1)))) 6.763 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/3) 6.766 * [backup-simplify]: Simplify (* (pow -1 1/9) (pow (/ 1 (cbrt -1)) 1/3)) into (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 6.771 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 6.776 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 6.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 6.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 6.782 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 6.784 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.785 * [backup-simplify]: Simplify (- 0) into 0 6.786 * [backup-simplify]: Simplify (+ 0 0) into 0 6.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 6.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.795 * [backup-simplify]: Simplify (+ (* 1/9 -1.0) (* 0 (log -1))) into (- 0.1111111111111111) 6.799 * [backup-simplify]: Simplify (* (exp (* 1/9 (log -1))) (+ (* (/ (pow (- 0.1111111111111111) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/9)) 6.804 * [backup-simplify]: Simplify (+ (* (pow -1 1/9) 0) (* (* -0.1111111111111111 (pow -1 1/9)) (pow (/ 1 (cbrt -1)) 1/3))) into (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) 6.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 1)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 1)))) 1) into -0.1111111111111111 6.827 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 6.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 6.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 6.835 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 6.838 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.840 * [backup-simplify]: Simplify (- 0) into 0 6.840 * [backup-simplify]: Simplify (+ 0 0) into 0 6.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 6.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 6.856 * [backup-simplify]: Simplify (+ (* 1/9 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.05555555555555555) 6.867 * [backup-simplify]: Simplify (* (exp (* 1/9 (log -1))) (+ (* (/ (pow (- 0.1111111111111111) 2) 2)) (* (/ (pow (- 0.05555555555555555) 1) 1)))) into (* -0.04938271604938271 (pow -1 1/9)) 6.878 * [backup-simplify]: Simplify (+ (* (pow -1 1/9) 0) (+ (* (* -0.1111111111111111 (pow -1 1/9)) 0) (* (* -0.04938271604938271 (pow -1 1/9)) (pow (/ 1 (cbrt -1)) 1/3)))) into (- (* 0.04938271604938271 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) 6.936 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 2)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.04938271604938271 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 1)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 1)))) 2) into -0.05555555555555555 6.936 * [backup-simplify]: Simplify -0.05555555555555555 into -0.05555555555555555 6.940 * [backup-simplify]: Simplify (+ (* -0.05555555555555555 (pow (/ 1 (- N)) 2)) (+ (* -0.1111111111111111 (/ 1 (- N))) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) into (- (+ (* 0.1111111111111111 (/ 1 N)) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) (* 0.05555555555555555 (/ 1 (pow N 2)))) 6.940 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 6.940 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) into (log (pow (/ (+ N 1.0) N) 1/9)) 6.940 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in (N) around 0 6.940 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in N 6.940 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/9) in N 6.940 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ N 1.0) N)))) in N 6.940 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ N 1.0) N))) in N 6.940 * [taylor]: Taking taylor expansion of 1/9 in N 6.940 * [backup-simplify]: Simplify 1/9 into 1/9 6.940 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.940 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.940 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.940 * [taylor]: Taking taylor expansion of N in N 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.941 * [taylor]: Taking taylor expansion of 1.0 in N 6.941 * [backup-simplify]: Simplify 1.0 into 1.0 6.941 * [taylor]: Taking taylor expansion of N in N 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.941 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.941 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.941 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.942 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.942 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 6.943 * [backup-simplify]: Simplify (exp (* 1/9 (- (log 1.0) (log N)))) into (exp (* 1/9 (- (log 1.0) (log N)))) 6.943 * [backup-simplify]: Simplify (log (exp (* 1/9 (- (log 1.0) (log N))))) into (* 1/9 (- (log 1.0) (log N))) 6.943 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/9)) in N 6.943 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/9) in N 6.943 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ (+ N 1.0) N)))) in N 6.943 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ (+ N 1.0) N))) in N 6.943 * [taylor]: Taking taylor expansion of 1/9 in N 6.943 * [backup-simplify]: Simplify 1/9 into 1/9 6.943 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 6.943 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 6.943 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.943 * [taylor]: Taking taylor expansion of N in N 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 1 into 1 6.943 * [taylor]: Taking taylor expansion of 1.0 in N 6.943 * [backup-simplify]: Simplify 1.0 into 1.0 6.943 * [taylor]: Taking taylor expansion of N in N 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 1 into 1 6.944 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.944 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.944 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.945 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.945 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 6.945 * [backup-simplify]: Simplify (exp (* 1/9 (- (log 1.0) (log N)))) into (exp (* 1/9 (- (log 1.0) (log N)))) 6.951 * [backup-simplify]: Simplify (log (exp (* 1/9 (- (log 1.0) (log N))))) into (* 1/9 (- (log 1.0) (log N))) 6.951 * [backup-simplify]: Simplify (* 1/9 (- (log 1.0) (log N))) into (* 1/9 (- (log 1.0) (log N))) 6.952 * [backup-simplify]: Simplify (+ 1 0) into 1 6.952 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 6.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.956 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.957 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 (- (log 1.0) (log N)))) into 0.1111111111111111 6.958 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.1111111111111111 1) 1)))) into (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N))))) 6.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 1)))) 1) into 0.1111111111111111 6.959 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 6.960 * [backup-simplify]: Simplify (+ 0 0) into 0 6.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.968 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 6.969 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 6.972 * [backup-simplify]: Simplify (+ (* 1/9 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/18 (/ 1 (pow 1.0 2)))) 6.983 * [backup-simplify]: Simplify (* (exp (* 1/9 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.1111111111111111 2) 2)) (* (/ (pow (- (* 1/18 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.006172839506172839 (* 1/18 (/ 1 (pow 1.0 2)))) (exp (* 1/9 (- (log 1.0) (log N))))) 6.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.1111111111111111 (exp (* 1/9 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.006172839506172839 (* 1/18 (/ 1 (pow 1.0 2)))) (exp (* 1/9 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/9 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/18 (pow 1.0 2)) 6.987 * [backup-simplify]: Simplify (/ -1/18 (pow 1.0 2)) into (/ -1/18 (pow 1.0 2)) 6.988 * [backup-simplify]: Simplify (+ (* (/ -1/18 (pow 1.0 2)) (pow N 2)) (+ (* 0.1111111111111111 N) (* 1/9 (- (log 1.0) (log N))))) into (- (+ (* 1/9 (log 1.0)) (* 0.1111111111111111 N)) (+ (* 1/18 (/ (pow N 2) (pow 1.0 2))) (* 1/9 (log N)))) 6.989 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) 6.989 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in (N) around 0 6.989 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in N 6.989 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/9) in N 6.989 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (+ (/ 1 N) 1.0))))) in N 6.989 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (+ (/ 1 N) 1.0)))) in N 6.989 * [taylor]: Taking taylor expansion of 1/9 in N 6.989 * [backup-simplify]: Simplify 1/9 into 1/9 6.989 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.989 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.989 * [taylor]: Taking taylor expansion of N in N 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 1 into 1 6.989 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.989 * [taylor]: Taking taylor expansion of N in N 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 1 into 1 6.989 * [backup-simplify]: Simplify (/ 1 1) into 1 6.989 * [taylor]: Taking taylor expansion of 1.0 in N 6.989 * [backup-simplify]: Simplify 1.0 into 1.0 6.990 * [backup-simplify]: Simplify (+ 1 0) into 1 6.990 * [backup-simplify]: Simplify (* 0 1) into 0 6.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.991 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.991 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 6.991 * [backup-simplify]: Simplify (log 1) into 0 6.991 * [backup-simplify]: Simplify (* 1/9 0) into 0 6.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.992 * [backup-simplify]: Simplify (+ 0 0) into 0 6.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 6.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.998 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 0)) into 0.1111111111111111 6.998 * [backup-simplify]: Simplify (exp 0) into 1 6.999 * [backup-simplify]: Simplify (log 1) into 0 6.999 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/9)) in N 6.999 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/9) in N 6.999 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (+ (/ 1 N) 1.0))))) in N 6.999 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (+ (/ 1 N) 1.0)))) in N 6.999 * [taylor]: Taking taylor expansion of 1/9 in N 6.999 * [backup-simplify]: Simplify 1/9 into 1/9 6.999 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 6.999 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 6.999 * [taylor]: Taking taylor expansion of N in N 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 1 into 1 6.999 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.999 * [taylor]: Taking taylor expansion of N in N 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 1 into 1 6.999 * [backup-simplify]: Simplify (/ 1 1) into 1 6.999 * [taylor]: Taking taylor expansion of 1.0 in N 6.999 * [backup-simplify]: Simplify 1.0 into 1.0 6.999 * [backup-simplify]: Simplify (+ 1 0) into 1 7.000 * [backup-simplify]: Simplify (* 0 1) into 0 7.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.000 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.001 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.001 * [backup-simplify]: Simplify (log 1) into 0 7.001 * [backup-simplify]: Simplify (* 1/9 0) into 0 7.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.002 * [backup-simplify]: Simplify (+ 0 0) into 0 7.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.008 * [backup-simplify]: Simplify (+ (* 1/9 1.0) (* 0 0)) into 0.1111111111111111 7.008 * [backup-simplify]: Simplify (exp 0) into 1 7.009 * [backup-simplify]: Simplify (log 1) into 0 7.009 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 1) 1)))) into 0.1111111111111111 7.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.1111111111111111) 1)) (pow 1 1)))) 1) into 0.1111111111111111 7.017 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 7.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.019 * [backup-simplify]: Simplify (+ 0 0) into 0 7.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.034 * [backup-simplify]: Simplify (+ (* 1/9 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.05555555555555555) 7.042 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 2) 2)) (* (/ (pow (- 0.05555555555555555) 1) 1)))) into -0.04938271604938271 7.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.1111111111111111) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.04938271604938271) 1)) (pow 1 1)))) 2) into -0.05555555555555555 7.057 * [backup-simplify]: Simplify -0.05555555555555555 into -0.05555555555555555 7.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.058 * [backup-simplify]: Simplify (+ 0 0) into 0 7.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.078 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 7.080 * [backup-simplify]: Simplify (+ (* 1/9 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.037037037037037035 7.089 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.1111111111111111 3) 6)) (* (/ (pow 0.1111111111111111 1) 1) (/ (pow (- 0.05555555555555555) 1) 1)) (* (/ (pow 0.037037037037037035 1) 1)))) into 0.031092821216278006 7.110 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.1111111111111111) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.1111111111111111) 1) (pow (* 2 -0.04938271604938271) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.031092821216278006) 1)) (pow 1 1)))) 6) into 0.037037037037037035 7.110 * [backup-simplify]: Simplify 0.037037037037037035 into 0.037037037037037035 7.110 * [backup-simplify]: Simplify (+ (* 0.037037037037037035 (pow (/ 1 N) 3)) (+ (* -0.05555555555555555 (pow (/ 1 N) 2)) (* 0.1111111111111111 (/ 1 N)))) into (- (+ (* 0.037037037037037035 (/ 1 (pow N 3))) (* 0.1111111111111111 (/ 1 N))) (* 0.05555555555555555 (/ 1 (pow N 2)))) 7.111 * [backup-simplify]: Simplify (log (cbrt (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) 7.111 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in (N) around 0 7.111 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in N 7.111 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3)) in N 7.111 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/9) in N 7.111 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (- 1.0 (/ 1 N)))))) in N 7.111 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (- 1.0 (/ 1 N))))) in N 7.111 * [taylor]: Taking taylor expansion of 1/9 in N 7.111 * [backup-simplify]: Simplify 1/9 into 1/9 7.111 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.111 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.111 * [taylor]: Taking taylor expansion of N in N 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.111 * [taylor]: Taking taylor expansion of 1.0 in N 7.111 * [backup-simplify]: Simplify 1.0 into 1.0 7.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.111 * [taylor]: Taking taylor expansion of N in N 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (/ 1 1) into 1 7.112 * [backup-simplify]: Simplify (- 1) into -1 7.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.113 * [backup-simplify]: Simplify (* 0 -1) into 0 7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.114 * [backup-simplify]: Simplify (- 0) into 0 7.115 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.115 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.116 * [backup-simplify]: Simplify (log -1) into (log -1) 7.117 * [backup-simplify]: Simplify (* 1/9 (log -1)) into (* 1/9 (log -1)) 7.118 * [backup-simplify]: Simplify (exp (* 1/9 (log -1))) into (pow -1 1/9) 7.118 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 7.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 7.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 7.118 * [taylor]: Taking taylor expansion of 1/3 in N 7.118 * [backup-simplify]: Simplify 1/3 into 1/3 7.118 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 7.118 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.118 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.118 * [taylor]: Taking taylor expansion of -1 in N 7.118 * [backup-simplify]: Simplify -1 into -1 7.119 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.120 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.121 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.122 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 7.125 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (cbrt -1)))) into (* 1/3 (log (/ 1 (cbrt -1)))) 7.128 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/3) 7.132 * [backup-simplify]: Simplify (* (pow -1 1/9) (pow (/ 1 (cbrt -1)) 1/3)) into (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 7.136 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 7.137 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3))) in N 7.137 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/9) (pow (/ 1 (cbrt -1)) 1/3)) in N 7.137 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/9) in N 7.137 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (* N (- 1.0 (/ 1 N)))))) in N 7.137 * [taylor]: Taking taylor expansion of (* 1/9 (log (* N (- 1.0 (/ 1 N))))) in N 7.137 * [taylor]: Taking taylor expansion of 1/9 in N 7.137 * [backup-simplify]: Simplify 1/9 into 1/9 7.137 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.137 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.137 * [taylor]: Taking taylor expansion of N in N 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 1 into 1 7.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.137 * [taylor]: Taking taylor expansion of 1.0 in N 7.137 * [backup-simplify]: Simplify 1.0 into 1.0 7.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.137 * [taylor]: Taking taylor expansion of N in N 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 1 into 1 7.137 * [backup-simplify]: Simplify (/ 1 1) into 1 7.138 * [backup-simplify]: Simplify (- 1) into -1 7.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.139 * [backup-simplify]: Simplify (* 0 -1) into 0 7.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.140 * [backup-simplify]: Simplify (- 0) into 0 7.140 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.141 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.141 * [backup-simplify]: Simplify (log -1) into (log -1) 7.142 * [backup-simplify]: Simplify (* 1/9 (log -1)) into (* 1/9 (log -1)) 7.144 * [backup-simplify]: Simplify (exp (* 1/9 (log -1))) into (pow -1 1/9) 7.144 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/3) in N 7.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (cbrt -1))))) in N 7.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (cbrt -1)))) in N 7.144 * [taylor]: Taking taylor expansion of 1/3 in N 7.144 * [backup-simplify]: Simplify 1/3 into 1/3 7.144 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in N 7.144 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.144 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.144 * [taylor]: Taking taylor expansion of -1 in N 7.144 * [backup-simplify]: Simplify -1 into -1 7.145 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.145 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.146 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.148 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 7.151 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (cbrt -1)))) into (* 1/3 (log (/ 1 (cbrt -1)))) 7.155 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/3) 7.158 * [backup-simplify]: Simplify (* (pow -1 1/9) (pow (/ 1 (cbrt -1)) 1/3)) into (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 7.163 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 7.168 * [backup-simplify]: Simplify (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) into (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))) 7.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 7.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 7.172 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 7.174 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.175 * [backup-simplify]: Simplify (- 0) into 0 7.176 * [backup-simplify]: Simplify (+ 0 0) into 0 7.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.188 * [backup-simplify]: Simplify (+ (* 1/9 -1.0) (* 0 (log -1))) into (- 0.1111111111111111) 7.192 * [backup-simplify]: Simplify (* (exp (* 1/9 (log -1))) (+ (* (/ (pow (- 0.1111111111111111) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/9)) 7.196 * [backup-simplify]: Simplify (+ (* (pow -1 1/9) 0) (* (* -0.1111111111111111 (pow -1 1/9)) (pow (/ 1 (cbrt -1)) 1/3))) into (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) 7.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 1)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 1)))) 1) into -0.1111111111111111 7.226 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 7.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 7.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 7.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 7.237 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (- 0) into 0 7.239 * [backup-simplify]: Simplify (+ 0 0) into 0 7.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.254 * [backup-simplify]: Simplify (+ (* 1/9 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.05555555555555555) 7.265 * [backup-simplify]: Simplify (* (exp (* 1/9 (log -1))) (+ (* (/ (pow (- 0.1111111111111111) 2) 2)) (* (/ (pow (- 0.05555555555555555) 1) 1)))) into (* -0.04938271604938271 (pow -1 1/9)) 7.273 * [backup-simplify]: Simplify (+ (* (pow -1 1/9) 0) (+ (* (* -0.1111111111111111 (pow -1 1/9)) 0) (* (* -0.04938271604938271 (pow -1 1/9)) (pow (/ 1 (cbrt -1)) 1/3)))) into (- (* 0.04938271604938271 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) 7.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.1111111111111111 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 2)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.04938271604938271 (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) 1)) (pow (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)) 1)))) 2) into -0.05555555555555555 7.312 * [backup-simplify]: Simplify -0.05555555555555555 into -0.05555555555555555 7.317 * [backup-simplify]: Simplify (+ (* -0.05555555555555555 (pow (/ 1 (- N)) 2)) (+ (* -0.1111111111111111 (/ 1 (- N))) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9))))) into (- (+ (* 0.1111111111111111 (/ 1 N)) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) (* 0.05555555555555555 (/ 1 (pow N 2)))) 7.317 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 7.317 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 N)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 7.317 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 7.317 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 7.317 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 7.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 7.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 7.317 * [taylor]: Taking taylor expansion of 1/3 in N 7.317 * [backup-simplify]: Simplify 1/3 into 1/3 7.317 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.317 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.317 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.317 * [taylor]: Taking taylor expansion of N in N 7.317 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [taylor]: Taking taylor expansion of 1.0 in N 7.318 * [backup-simplify]: Simplify 1.0 into 1.0 7.318 * [taylor]: Taking taylor expansion of N in N 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.319 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.319 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.320 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.320 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.321 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.321 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 7.321 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 7.321 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 7.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 7.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 7.322 * [taylor]: Taking taylor expansion of 1/3 in N 7.322 * [backup-simplify]: Simplify 1/3 into 1/3 7.322 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.322 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.322 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.322 * [taylor]: Taking taylor expansion of N in N 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.322 * [taylor]: Taking taylor expansion of 1.0 in N 7.322 * [backup-simplify]: Simplify 1.0 into 1.0 7.322 * [taylor]: Taking taylor expansion of N in N 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.322 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.323 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.323 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.324 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.324 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.332 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.333 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 7.334 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.334 * [backup-simplify]: Simplify (+ 1 0) into 1 7.335 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.340 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.341 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 7.342 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 7.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 7.343 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.344 * [backup-simplify]: Simplify (+ 0 0) into 0 7.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.350 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.352 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 7.362 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 7.364 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 7.364 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 N))) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 7.364 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 7.364 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 7.364 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 7.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 7.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 7.364 * [taylor]: Taking taylor expansion of 1/3 in N 7.364 * [backup-simplify]: Simplify 1/3 into 1/3 7.364 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.364 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.364 * [taylor]: Taking taylor expansion of N in N 7.364 * [backup-simplify]: Simplify 0 into 0 7.364 * [backup-simplify]: Simplify 1 into 1 7.364 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.364 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.364 * [taylor]: Taking taylor expansion of N in N 7.364 * [backup-simplify]: Simplify 0 into 0 7.364 * [backup-simplify]: Simplify 1 into 1 7.364 * [backup-simplify]: Simplify (/ 1 1) into 1 7.364 * [taylor]: Taking taylor expansion of 1.0 in N 7.364 * [backup-simplify]: Simplify 1.0 into 1.0 7.365 * [backup-simplify]: Simplify (+ 1 0) into 1 7.365 * [backup-simplify]: Simplify (* 0 1) into 0 7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.366 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.366 * [backup-simplify]: Simplify (log 1) into 0 7.367 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.368 * [backup-simplify]: Simplify (+ 0 0) into 0 7.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.379 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 7.379 * [backup-simplify]: Simplify (exp 0) into 1 7.379 * [backup-simplify]: Simplify (log 1) into 0 7.379 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 7.379 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 7.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 7.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 7.379 * [taylor]: Taking taylor expansion of 1/3 in N 7.379 * [backup-simplify]: Simplify 1/3 into 1/3 7.379 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.379 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.379 * [taylor]: Taking taylor expansion of N in N 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 1 into 1 7.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.380 * [taylor]: Taking taylor expansion of N in N 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 1 into 1 7.380 * [backup-simplify]: Simplify (/ 1 1) into 1 7.380 * [taylor]: Taking taylor expansion of 1.0 in N 7.380 * [backup-simplify]: Simplify 1.0 into 1.0 7.380 * [backup-simplify]: Simplify (+ 1 0) into 1 7.381 * [backup-simplify]: Simplify (* 0 1) into 0 7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.382 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.383 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.383 * [backup-simplify]: Simplify (log 1) into 0 7.384 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.385 * [backup-simplify]: Simplify (+ 0 0) into 0 7.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.396 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 7.396 * [backup-simplify]: Simplify (exp 0) into 1 7.397 * [backup-simplify]: Simplify (log 1) into 0 7.397 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 7.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 7.406 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.408 * [backup-simplify]: Simplify (+ 0 0) into 0 7.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.417 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 7.421 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 7.429 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 7.429 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 7.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (+ 0 0) into 0 7.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.446 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 7.449 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 7.463 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 7.477 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 7.477 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 7.478 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 7.478 * [backup-simplify]: Simplify (log (/ (cbrt (+ 1.0 (/ 1 (- N)))) (cbrt (/ 1 (- N))))) into (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) 7.478 * [approximate]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 7.478 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 7.478 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 7.478 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 7.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 7.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 7.478 * [taylor]: Taking taylor expansion of 1/3 in N 7.478 * [backup-simplify]: Simplify 1/3 into 1/3 7.478 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.478 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.478 * [taylor]: Taking taylor expansion of N in N 7.478 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify 1 into 1 7.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.478 * [taylor]: Taking taylor expansion of 1.0 in N 7.478 * [backup-simplify]: Simplify 1.0 into 1.0 7.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.478 * [taylor]: Taking taylor expansion of N in N 7.478 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify 1 into 1 7.479 * [backup-simplify]: Simplify (/ 1 1) into 1 7.479 * [backup-simplify]: Simplify (- 1) into -1 7.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.479 * [backup-simplify]: Simplify (* 0 -1) into 0 7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.480 * [backup-simplify]: Simplify (- 0) into 0 7.480 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.481 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.481 * [backup-simplify]: Simplify (log -1) into (log -1) 7.482 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.483 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.483 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.483 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.483 * [taylor]: Taking taylor expansion of -1 in N 7.483 * [backup-simplify]: Simplify -1 into -1 7.483 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.483 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.484 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.486 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 7.488 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 7.488 * [taylor]: Taking taylor expansion of (log (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1)))) in N 7.488 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (/ 1 (cbrt -1))) in N 7.488 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 7.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 7.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 7.488 * [taylor]: Taking taylor expansion of 1/3 in N 7.488 * [backup-simplify]: Simplify 1/3 into 1/3 7.488 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 7.488 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.488 * [taylor]: Taking taylor expansion of N in N 7.488 * [backup-simplify]: Simplify 0 into 0 7.488 * [backup-simplify]: Simplify 1 into 1 7.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.488 * [taylor]: Taking taylor expansion of 1.0 in N 7.488 * [backup-simplify]: Simplify 1.0 into 1.0 7.488 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.488 * [taylor]: Taking taylor expansion of N in N 7.488 * [backup-simplify]: Simplify 0 into 0 7.488 * [backup-simplify]: Simplify 1 into 1 7.488 * [backup-simplify]: Simplify (/ 1 1) into 1 7.488 * [backup-simplify]: Simplify (- 1) into -1 7.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.489 * [backup-simplify]: Simplify (* 0 -1) into 0 7.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.490 * [backup-simplify]: Simplify (- 0) into 0 7.490 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.490 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.491 * [backup-simplify]: Simplify (log -1) into (log -1) 7.491 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 7.492 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 7.492 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.492 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.492 * [taylor]: Taking taylor expansion of -1 in N 7.492 * [backup-simplify]: Simplify -1 into -1 7.493 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.493 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.494 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.495 * [backup-simplify]: Simplify (* (pow -1 1/3) (/ 1 (cbrt -1))) into (* (/ 1 (cbrt -1)) (pow -1 1/3)) 7.499 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 7.502 * [backup-simplify]: Simplify (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) into (log (* (/ 1 (cbrt -1)) (pow -1 1/3))) 7.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 7.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.505 * [backup-simplify]: Simplify (- 0) into 0 7.505 * [backup-simplify]: Simplify (+ 0 0) into 0 7.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.517 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 7.524 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 7.529 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (/ 1 (cbrt -1)))) into (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 7.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 1) into -0.3333333333333333 7.553 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 7.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.556 * [backup-simplify]: Simplify (- 0) into 0 7.556 * [backup-simplify]: Simplify (+ 0 0) into 0 7.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.576 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 7.586 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 7.595 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (/ 1 (cbrt -1))))) into (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3)))) 7.637 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 2)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (/ 1 (cbrt -1)) (pow -1 1/3))))) 1)) (pow (* (/ 1 (cbrt -1)) (pow -1 1/3)) 1)))) 2) into -0.16666666666666666 7.637 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 7.640 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (/ 1 (cbrt -1)) (pow -1 1/3))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 7.640 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 7.641 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 7.641 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 7.641 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.641 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.641 * [taylor]: Taking taylor expansion of 1/3 in N 7.641 * [backup-simplify]: Simplify 1/3 into 1/3 7.641 * [taylor]: Taking taylor expansion of (log N) in N 7.641 * [taylor]: Taking taylor expansion of N in N 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 1 into 1 7.641 * [backup-simplify]: Simplify (log 1) into 0 7.642 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.642 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.642 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.642 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.642 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.642 * [taylor]: Taking taylor expansion of 1/3 in N 7.642 * [backup-simplify]: Simplify 1/3 into 1/3 7.642 * [taylor]: Taking taylor expansion of (log N) in N 7.642 * [taylor]: Taking taylor expansion of N in N 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [backup-simplify]: Simplify (log 1) into 0 7.643 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.643 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.643 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.643 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.645 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 7.646 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.646 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.649 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.650 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.651 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.651 * [backup-simplify]: Simplify 0 into 0 7.657 * [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 7.657 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.659 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 7.660 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.672 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.673 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.675 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 7.678 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.678 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.697 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.699 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 7.711 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.742 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.743 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 7.746 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.746 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.747 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 7.747 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 7.747 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.747 * [taylor]: Taking taylor expansion of 1/3 in N 7.747 * [backup-simplify]: Simplify 1/3 into 1/3 7.747 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.747 * [taylor]: Taking taylor expansion of N in N 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.747 * [backup-simplify]: Simplify (/ 1 1) into 1 7.747 * [backup-simplify]: Simplify (log 1) into 0 7.748 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.748 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.748 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.748 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.748 * [taylor]: Taking taylor expansion of 1/3 in N 7.748 * [backup-simplify]: Simplify 1/3 into 1/3 7.748 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.748 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.748 * [taylor]: Taking taylor expansion of N in N 7.748 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify 1 into 1 7.748 * [backup-simplify]: Simplify (/ 1 1) into 1 7.748 * [backup-simplify]: Simplify (log 1) into 0 7.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.749 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.749 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.749 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.750 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.751 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.751 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.751 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.754 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.754 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.755 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.755 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.758 * [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 7.759 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.759 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.760 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.760 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.767 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.768 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.769 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.769 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.786 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.787 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.793 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.793 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.825 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.826 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.843 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 7.843 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.843 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 7.843 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.844 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.844 * [taylor]: Taking taylor expansion of 1/3 in N 7.844 * [backup-simplify]: Simplify 1/3 into 1/3 7.844 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.844 * [taylor]: Taking taylor expansion of N in N 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify 1 into 1 7.845 * [backup-simplify]: Simplify (/ 1 1) into 1 7.845 * [backup-simplify]: Simplify (log 1) into 0 7.846 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.846 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.846 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.846 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.846 * [taylor]: Taking taylor expansion of -1 in N 7.846 * [backup-simplify]: Simplify -1 into -1 7.847 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.848 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.848 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.848 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.848 * [taylor]: Taking taylor expansion of 1/3 in N 7.848 * [backup-simplify]: Simplify 1/3 into 1/3 7.848 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.848 * [taylor]: Taking taylor expansion of N in N 7.848 * [backup-simplify]: Simplify 0 into 0 7.848 * [backup-simplify]: Simplify 1 into 1 7.849 * [backup-simplify]: Simplify (/ 1 1) into 1 7.849 * [backup-simplify]: Simplify (log 1) into 0 7.850 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.850 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.850 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.850 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.850 * [taylor]: Taking taylor expansion of -1 in N 7.850 * [backup-simplify]: Simplify -1 into -1 7.851 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.852 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.852 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.853 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.855 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.856 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.856 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.857 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 7.857 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.860 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.861 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.861 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.862 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.866 * [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 7.867 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.869 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.869 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.869 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.877 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.878 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.879 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.882 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.884 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 7.884 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.904 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.905 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.907 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.910 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.912 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 7.912 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.945 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.946 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.949 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.954 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.956 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 7.956 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 7.957 * * * [progress]: simplifying candidates 7.964 * [simplify]: Simplifying: (log (cbrt (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))))) (log (cbrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt 1)))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt 1)))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt 1) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt 1) (cbrt 1)))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt 1) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt 1) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (cbrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt 1) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt 1) (cbrt 1)))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (cbrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt 1) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt 1) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (cbrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt 1)))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (cbrt (/ (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) 1))) (log (cbrt (/ (cbrt (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt 1)))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (cbrt N))))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N))))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt (/ 1 (cbrt (* (cbrt N) (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ 1 (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (cbrt (/ 1 (cbrt 1)))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt (cbrt N))))) (log (cbrt (/ 1 (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))))) (log (cbrt (/ 1 1))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt 1)) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (/ 1 (cbrt N)))) (log (* (cbrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))))) (log (cbrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (sqrt (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log 1) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (cbrt (+ N 1.0)))) (log (cbrt (cbrt N))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (exp (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (* (cbrt (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt 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N))) (sqrt (cbrt N)))) (log (/ (sqrt (cbrt (+ 1.0 N))) 1)) (log (/ (sqrt (cbrt (+ 1.0 N))) (cbrt N))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (+ 1.0 N)) (cbrt (cbrt N)))) (log (/ 1 (cbrt (sqrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt (sqrt N)))) (log (/ 1 (cbrt 1))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (log (/ (cbrt (+ 1.0 N)) (cbrt (cbrt N)))) (log (/ 1 (sqrt (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (sqrt (cbrt N)))) (log (/ 1 1)) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log 1) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (cbrt (+ 1.0 N))) (log (/ 1 (cbrt N))) (log (cbrt (+ 1.0 N))) (log (cbrt N)) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (exp (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (* (cbrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (cbrt (log (/ (cbrt (+ 1.0 N)) (cbrt N))))) (cbrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (* (* (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (sqrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (sqrt (log (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 1/9 (log 1.0)) (* 0.1111111111111111 N)) (+ (* 1/18 (/ (pow N 2) (pow 1.0 2))) (* 1/9 (log N)))) (- (+ (* 0.037037037037037035 (/ 1 (pow N 3))) (* 0.1111111111111111 (/ 1 N))) (* 0.05555555555555555 (/ 1 (pow N 2)))) (- (+ (* 0.1111111111111111 (/ 1 N)) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) (* 0.05555555555555555 (/ 1 (pow N 2)))) (- (+ (* 1/9 (log 1.0)) (* 0.1111111111111111 N)) (+ (* 1/18 (/ (pow N 2) (pow 1.0 2))) (* 1/9 (log N)))) (- (+ (* 0.037037037037037035 (/ 1 (pow N 3))) (* 0.1111111111111111 (/ 1 N))) (* 0.05555555555555555 (/ 1 (pow N 2)))) (- (+ (* 0.1111111111111111 (/ 1 N)) (log (* (pow (/ 1 (cbrt -1)) 1/3) (pow -1 1/9)))) (* 0.05555555555555555 (/ 1 (pow N 2)))) (- (+ (* 1/3 (log 1.0)) (* 0.3333333333333333 N)) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (/ 1 (cbrt -1)) (pow -1 1/3)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) 7.973 * * [simplify]: iteration 0: 367 enodes 8.108 * * [simplify]: iteration 1: 600 enodes 8.341 * * [simplify]: iteration 2: 1580 enodes 8.780 * * [simplify]: iteration complete: 5001 enodes 8.780 * * [simplify]: Extracting #0: cost 115 inf + 0 8.782 * * [simplify]: Extracting #1: cost 938 inf + 3 8.787 * * [simplify]: Extracting #2: cost 1608 inf + 205 8.793 * * [simplify]: Extracting #3: cost 1522 inf + 1665 8.799 * * [simplify]: Extracting #4: cost 754 inf + 6594 8.814 * * [simplify]: Extracting #5: cost 193 inf + 12045 8.824 * * [simplify]: Extracting #6: cost 17 inf + 13763 8.830 * * [simplify]: Extracting #7: cost 0 inf + 13949 8.838 * [simplify]: Simplified to: (log (cbrt (exp (* 2 (log (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N)))))))) (log (cbrt (cbrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (cbrt (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (cbrt (sqrt (/ (cbrt (+ 1.0 N)) (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (pow N 2/3))))) (log (cbrt (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (sqrt N))))) (log (cbrt (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt N))))) (log (cbrt (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))))) (log (cbrt (/ (cbrt (cbrt (+ 1.0 N))) (cbrt N)))) (log (cbrt (/ (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt N))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt N))))) (log (cbrt (/ (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (sqrt (cbrt N))))) (log (cbrt (/ (cbrt (cbrt (+ 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0.1111111111111111 (pow N 3)) (/ (/ 0.16666666666666666 N) N))) (+ (- (log 1) (/ (/ 0.16666666666666666 N) N)) (/ 0.3333333333333333 N)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) 8.841 * * * [progress]: adding candidates to table 10.224 * [progress]: [Phase 3 of 3] Extracting. 10.225 * * [regime]: Finding splitpoints for: (# # # # #) 10.227 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.227 * * * * [regimes]: Trying to branch on N from (# # # # #) 10.331 * * * [regime]: Found split indices: #