7.601 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: Extracting # 3 : cost 0 0.046 * * [simplify]: Extracting # 4 : cost 0 0.046 * * [simplify]: Extracting # 5 : cost 0 0.046 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.047 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: Extracting # 1 : cost 0 0.047 * * [simplify]: Extracting # 2 : cost 0 0.047 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.049 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.078 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.078 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.079 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.079 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.080 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.080 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.084 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [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)) 0.091 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.092 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.092 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.092 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.093 * [backup-simplify]: Simplify 1.0 into 1.0 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (log 1) into 0 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [backup-simplify]: Simplify 1.0 into 1.0 0.094 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (log 1) into 0 0.094 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.095 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.099 * [backup-simplify]: Simplify 1.0 into 1.0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [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 0.106 * [backup-simplify]: Simplify -0.5 into -0.5 0.106 * [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)))) 0.106 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.106 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.106 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.106 * [taylor]: Taking taylor expansion of 1.0 in N 0.106 * [backup-simplify]: Simplify 1.0 into 1.0 0.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.106 * [taylor]: Taking taylor expansion of N in N 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (- 1) into -1 0.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.108 * [backup-simplify]: Simplify (log -1) into (log -1) 0.108 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.109 * [backup-simplify]: Simplify (log -1) into (log -1) 0.109 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.109 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.115 * [backup-simplify]: Simplify -1.0 into -1.0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [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 0.122 * [backup-simplify]: Simplify -0.5 into -0.5 0.122 * [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)))) 0.122 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.122 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.122 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.123 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.123 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.123 * [taylor]: Taking taylor expansion of (log N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.124 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.124 * [taylor]: Taking taylor expansion of (log N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.125 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.125 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.125 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.125 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.140 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.142 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.143 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.143 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.143 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of 1.0 in N 0.143 * [backup-simplify]: Simplify 1.0 into 1.0 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (log 1) into 0 0.144 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (log 1) into 0 0.144 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.144 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 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 (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 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 (+ (* (- 1) (log N)) 0) into (- (log N)) 0.146 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.146 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 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 0.152 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [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 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.168 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [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 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [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 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.182 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.182 * [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)))) 0.183 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.183 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.183 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [backup-simplify]: Simplify 1.0 into 1.0 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [backup-simplify]: Simplify (- 1) into -1 0.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.184 * [backup-simplify]: Simplify (log -1) into (log -1) 0.184 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.184 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.184 * [taylor]: Taking taylor expansion of -1 in N 0.184 * [backup-simplify]: Simplify -1 into -1 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ -1 1) into -1 0.184 * [backup-simplify]: Simplify (log -1) into (log -1) 0.184 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.184 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (- 1) into -1 0.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.186 * [backup-simplify]: Simplify (log -1) into (log -1) 0.186 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.186 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.186 * [taylor]: Taking taylor expansion of -1 in N 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ -1 1) into -1 0.186 * [backup-simplify]: Simplify (log -1) into (log -1) 0.187 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.187 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.188 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.188 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.195 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [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 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.205 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [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 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [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 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.220 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.221 * [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)))) 0.221 * * * [progress]: simplifying candidates 0.222 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 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)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)))) 0.223 * * [simplify]: Extracting # 0 : cost 0 0.223 * * [simplify]: Extracting # 1 : cost 0 0.223 * * [simplify]: Extracting # 2 : cost 0 0.223 * * [simplify]: Extracting # 3 : cost 0 0.223 * * [simplify]: Extracting # 4 : cost 0 0.224 * * [simplify]: Extracting # 5 : cost 0 0.224 * * [simplify]: Extracting # 6 : cost 0 0.224 * * [simplify]: Extracting # 7 : cost 0 0.224 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.249 * * [simplify]: Extracting # 0 : cost 0 0.250 * * [simplify]: Extracting # 1 : cost 0 0.250 * * [simplify]: Extracting # 2 : cost 0 0.250 * * [simplify]: Extracting # 3 : cost 0 0.250 * * [simplify]: Extracting # 4 : cost 0 0.250 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.299 * * [simplify]: Extracting # 0 : cost 0 0.300 * * [simplify]: Extracting # 1 : cost 0 0.300 * * [simplify]: Extracting # 2 : cost 0 0.301 * * [simplify]: Extracting # 3 : cost 0 0.301 * * [simplify]: Extracting # 4 : cost 0 0.301 * * [simplify]: iteration 2 : 462 enodes (cost 445 ) 0.430 * * [simplify]: Extracting # 0 : cost 0 0.434 * * [simplify]: Extracting # 1 : cost 0 0.435 * * [simplify]: Extracting # 2 : cost 0 0.436 * * [simplify]: Extracting # 3 : cost 0 0.437 * * [simplify]: Extracting # 4 : cost 0 0.438 * * [simplify]: iteration 3 : 1063 enodes (cost 443 ) 0.952 * * [simplify]: Extracting # 0 : cost 0 0.955 * * [simplify]: Extracting # 1 : cost 0 0.957 * * [simplify]: Extracting # 2 : cost 0 0.959 * * [simplify]: Extracting # 3 : cost 0 0.962 * * [simplify]: Extracting # 4 : cost 0 0.964 * * [simplify]: iteration 4 : 2574 enodes (cost 438 ) 2.070 * * [simplify]: Extracting # 0 : cost 0 2.076 * * [simplify]: Extracting # 1 : cost 0 2.080 * * [simplify]: Extracting # 2 : cost 0 2.085 * * [simplify]: Extracting # 3 : cost 0 2.089 * * [simplify]: Extracting # 4 : cost 0 2.094 * * [simplify]: iteration done: 5001 enodes (cost 426 ) 2.094 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (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 N 3) (pow 1.0 3))) (log (+ (* 1.0 (- 1.0 N)) (* N N))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (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)) (log (+ N 1.0))) (* (log N) (log N))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 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 (+ (* 1.0 (- 1.0 N)) (* N N)))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (log 1.0) (* N (- (/ (* 1/2 N) (* 1.0 1.0)) 1.0))) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (- (log 1.0) (log N)) (* N (- 1.0 (* 1/2 (/ N (* 1.0 1.0)))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 2.094 * * * [progress]: adding candidates to table 2.191 * * [progress]: iteration 2 / 4 2.191 * * * [progress]: picking best candidate 2.194 * * * * [pick]: Picked # 2.194 * * * [progress]: localizing error 2.199 * * * [progress]: generating rewritten candidates 2.199 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.204 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.223 * * * [progress]: generating series expansions 2.224 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.224 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.224 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.224 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.224 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.224 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.224 * [taylor]: Taking taylor expansion of N in N 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.224 * [taylor]: Taking taylor expansion of 1.0 in N 2.224 * [backup-simplify]: Simplify 1.0 into 1.0 2.224 * [taylor]: Taking taylor expansion of N in N 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.225 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.225 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.225 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.225 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.225 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.225 * [taylor]: Taking taylor expansion of N in N 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [taylor]: Taking taylor expansion of 1.0 in N 2.225 * [backup-simplify]: Simplify 1.0 into 1.0 2.225 * [taylor]: Taking taylor expansion of N in N 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.226 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.226 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.227 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.227 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.227 * [backup-simplify]: Simplify (+ 1 0) into 1 2.228 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.234 * [backup-simplify]: Simplify 1.0 into 1.0 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.241 * [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)) 2.242 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.243 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.243 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.243 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.243 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.243 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.243 * [taylor]: Taking taylor expansion of 1.0 in N 2.243 * [backup-simplify]: Simplify 1.0 into 1.0 2.244 * [backup-simplify]: Simplify (+ 1 0) into 1 2.244 * [backup-simplify]: Simplify (* 0 1) into 0 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.245 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.245 * [backup-simplify]: Simplify (log 1) into 0 2.245 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.245 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.245 * [taylor]: Taking taylor expansion of N in N 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.245 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.245 * [taylor]: Taking taylor expansion of N in N 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (/ 1 1) into 1 2.246 * [taylor]: Taking taylor expansion of 1.0 in N 2.246 * [backup-simplify]: Simplify 1.0 into 1.0 2.246 * [backup-simplify]: Simplify (+ 1 0) into 1 2.246 * [backup-simplify]: Simplify (* 0 1) into 0 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.247 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.248 * [backup-simplify]: Simplify (log 1) into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ 0 0) into 0 2.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.254 * [backup-simplify]: Simplify 1.0 into 1.0 2.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (+ 0 0) into 0 2.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.261 * [backup-simplify]: Simplify -0.5 into -0.5 2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.262 * [backup-simplify]: Simplify (+ 0 0) into 0 2.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.272 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.272 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.272 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.272 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.272 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.272 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.272 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.272 * [taylor]: Taking taylor expansion of -1 in N 2.272 * [backup-simplify]: Simplify -1 into -1 2.272 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.273 * [taylor]: Taking taylor expansion of 1.0 in N 2.273 * [backup-simplify]: Simplify 1.0 into 1.0 2.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.273 * [taylor]: Taking taylor expansion of N in N 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [backup-simplify]: Simplify (- 1) into -1 2.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.274 * [backup-simplify]: Simplify (* 0 -1) into 0 2.274 * [backup-simplify]: Simplify (* -1 0) into 0 2.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (- 0) into 0 2.275 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.275 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.276 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.276 * [backup-simplify]: Simplify (log 1) into 0 2.276 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.276 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.276 * [taylor]: Taking taylor expansion of -1 in N 2.276 * [backup-simplify]: Simplify -1 into -1 2.276 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.276 * [taylor]: Taking taylor expansion of N in N 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.276 * [taylor]: Taking taylor expansion of 1.0 in N 2.276 * [backup-simplify]: Simplify 1.0 into 1.0 2.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.276 * [taylor]: Taking taylor expansion of N in N 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [backup-simplify]: Simplify (- 1) into -1 2.277 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.277 * [backup-simplify]: Simplify (* 0 -1) into 0 2.277 * [backup-simplify]: Simplify (* -1 0) into 0 2.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (- 0) into 0 2.278 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.279 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.279 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.279 * [backup-simplify]: Simplify (log 1) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.283 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.288 * [backup-simplify]: Simplify -1.0 into -1.0 2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (- 0) into 0 2.289 * [backup-simplify]: Simplify (+ 0 0) into 0 2.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.290 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.297 * [backup-simplify]: Simplify -0.5 into -0.5 2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (- 0) into 0 2.298 * [backup-simplify]: Simplify (+ 0 0) into 0 2.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.310 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.310 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.310 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.310 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.310 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.310 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.310 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.310 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.310 * [taylor]: Taking taylor expansion of N in N 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.310 * [taylor]: Taking taylor expansion of 1.0 in N 2.310 * [backup-simplify]: Simplify 1.0 into 1.0 2.310 * [taylor]: Taking taylor expansion of N in N 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.311 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.311 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.311 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.311 * [taylor]: Taking taylor expansion of N in N 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [taylor]: Taking taylor expansion of 1.0 in N 2.311 * [backup-simplify]: Simplify 1.0 into 1.0 2.311 * [taylor]: Taking taylor expansion of N in N 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.312 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.312 * [backup-simplify]: Simplify 1.0 into 1.0 2.312 * [backup-simplify]: Simplify (+ 1 0) into 1 2.313 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (+ 0 0) into 0 2.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (+ 0 0) into 0 2.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (+ 0 0) into 0 2.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (+ 0 0) into 0 2.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.318 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.318 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.318 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.318 * [taylor]: Taking taylor expansion of N in N 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (/ 1 1) into 1 2.323 * [taylor]: Taking taylor expansion of 1.0 in N 2.324 * [backup-simplify]: Simplify 1.0 into 1.0 2.324 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.324 * [taylor]: Taking taylor expansion of N in N 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.324 * [taylor]: Taking taylor expansion of N in N 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (/ 1 1) into 1 2.324 * [taylor]: Taking taylor expansion of 1.0 in N 2.324 * [backup-simplify]: Simplify 1.0 into 1.0 2.324 * [backup-simplify]: Simplify (+ 1 0) into 1 2.325 * [backup-simplify]: Simplify (* 0 1) into 0 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.326 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.328 * [backup-simplify]: Simplify 1.0 into 1.0 2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (+ 0 0) into 0 2.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (+ 0 0) into 0 2.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (+ 0 0) into 0 2.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.339 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.339 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.339 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.339 * [taylor]: Taking taylor expansion of -1 in N 2.339 * [backup-simplify]: Simplify -1 into -1 2.339 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.339 * [taylor]: Taking taylor expansion of 1.0 in N 2.339 * [backup-simplify]: Simplify 1.0 into 1.0 2.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (/ 1 1) into 1 2.339 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.339 * [taylor]: Taking taylor expansion of -1 in N 2.339 * [backup-simplify]: Simplify -1 into -1 2.339 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.339 * [taylor]: Taking taylor expansion of 1.0 in N 2.339 * [backup-simplify]: Simplify 1.0 into 1.0 2.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (/ 1 1) into 1 2.340 * [backup-simplify]: Simplify (- 1) into -1 2.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.341 * [backup-simplify]: Simplify (* 0 -1) into 0 2.341 * [backup-simplify]: Simplify (* -1 0) into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (- 0) into 0 2.342 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.342 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.343 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.343 * [backup-simplify]: Simplify 1 into 1 2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (- 0) into 0 2.344 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.346 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.347 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (- 0) into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (- 0) into 0 2.350 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.351 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (- 0) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (- 0) into 0 2.355 * [backup-simplify]: Simplify (+ 0 0) into 0 2.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (- 0) into 0 2.358 * [backup-simplify]: Simplify (+ 0 0) into 0 2.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.361 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.364 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.364 * * * [progress]: simplifying candidates 2.365 * [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)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.366 * * [simplify]: Extracting # 0 : cost 0 2.366 * * [simplify]: Extracting # 1 : cost 0 2.366 * * [simplify]: Extracting # 2 : cost 0 2.367 * * [simplify]: Extracting # 3 : cost 0 2.367 * * [simplify]: Extracting # 4 : cost 0 2.367 * * [simplify]: Extracting # 5 : cost 0 2.367 * * [simplify]: Extracting # 6 : cost 0 2.367 * * [simplify]: Extracting # 7 : cost 0 2.367 * * [simplify]: Extracting # 8 : cost 0 2.367 * * [simplify]: Extracting # 9 : cost 0 2.367 * * [simplify]: Extracting # 10 : cost 0 2.368 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 2.390 * * [simplify]: Extracting # 0 : cost 0 2.390 * * [simplify]: Extracting # 1 : cost 0 2.390 * * [simplify]: Extracting # 2 : cost 0 2.390 * * [simplify]: Extracting # 3 : cost 0 2.391 * * [simplify]: Extracting # 4 : cost 0 2.391 * * [simplify]: iteration 1 : 232 enodes (cost 690 ) 2.456 * * [simplify]: Extracting # 0 : cost 0 2.456 * * [simplify]: Extracting # 1 : cost 0 2.457 * * [simplify]: Extracting # 2 : cost 0 2.458 * * [simplify]: Extracting # 3 : cost 0 2.458 * * [simplify]: Extracting # 4 : cost 0 2.459 * * [simplify]: iteration 2 : 583 enodes (cost 637 ) 2.632 * * [simplify]: Extracting # 0 : cost 0 2.634 * * [simplify]: Extracting # 1 : cost 0 2.635 * * [simplify]: Extracting # 2 : cost 0 2.636 * * [simplify]: Extracting # 3 : cost 0 2.637 * * [simplify]: Extracting # 4 : cost 0 2.643 * * [simplify]: iteration 3 : 1417 enodes (cost 624 ) 3.752 * * [simplify]: Extracting # 0 : cost 0 3.757 * * [simplify]: Extracting # 1 : cost 0 3.764 * * [simplify]: Extracting # 2 : cost 0 3.767 * * [simplify]: Extracting # 3 : cost 0 3.770 * * [simplify]: Extracting # 4 : cost 0 3.773 * * [simplify]: iteration 4 : 3874 enodes (cost 622 ) 4.716 * * [simplify]: Extracting # 0 : cost 0 4.721 * * [simplify]: Extracting # 1 : cost 0 4.726 * * [simplify]: Extracting # 2 : cost 0 4.731 * * [simplify]: iteration done: 5001 enodes (cost 622 ) 4.731 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (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))) (/ (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)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* 1.0 (- 1.0 N)) (* N N))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) 4.732 * * * [progress]: adding candidates to table 4.842 * * [progress]: iteration 3 / 4 4.842 * * * [progress]: picking best candidate 4.846 * * * * [pick]: Picked # 4.846 * * * [progress]: localizing error 4.859 * * * [progress]: generating rewritten candidates 4.859 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.912 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 4.913 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 4.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 4.919 * * * [progress]: generating series expansions 4.920 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.920 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) into (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) 4.920 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in (N) around 0 4.920 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 4.920 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 4.920 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 4.920 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.920 * [taylor]: Taking taylor expansion of 1/3 in N 4.920 * [backup-simplify]: Simplify 1/3 into 1/3 4.920 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.920 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.920 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.920 * [taylor]: Taking taylor expansion of N in N 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify 1 into 1 4.921 * [backup-simplify]: Simplify (* 1 1) into 1 4.921 * [backup-simplify]: Simplify (/ 1 1) into 1 4.921 * [backup-simplify]: Simplify (log 1) into 0 4.922 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.922 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.922 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.922 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 4.922 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.922 * [taylor]: Taking taylor expansion of N in N 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [taylor]: Taking taylor expansion of 1.0 in N 4.922 * [backup-simplify]: Simplify 1.0 into 1.0 4.922 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.923 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.923 * [backup-simplify]: Simplify (+ 1 0) into 1 4.924 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.924 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 4.925 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) 4.925 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 4.925 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 4.925 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.925 * [taylor]: Taking taylor expansion of 1/3 in N 4.925 * [backup-simplify]: Simplify 1/3 into 1/3 4.925 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.925 * [taylor]: Taking taylor expansion of N in N 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (/ 1 1) into 1 4.925 * [backup-simplify]: Simplify (log 1) into 0 4.926 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.926 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.926 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.926 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 4.926 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.926 * [taylor]: Taking taylor expansion of N in N 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [taylor]: Taking taylor expansion of 1.0 in N 4.926 * [backup-simplify]: Simplify 1.0 into 1.0 4.926 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.926 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.927 * [backup-simplify]: Simplify (+ 1 0) into 1 4.928 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.928 * [backup-simplify]: Simplify (* (pow N -1/3) (sqrt 1.0)) into (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 4.929 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) 4.929 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 4.929 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 4.929 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 4.929 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.929 * [taylor]: Taking taylor expansion of 1/3 in N 4.929 * [backup-simplify]: Simplify 1/3 into 1/3 4.929 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.929 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.929 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.929 * [taylor]: Taking taylor expansion of N in N 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.929 * [backup-simplify]: Simplify (* 1 1) into 1 4.929 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [backup-simplify]: Simplify (log 1) into 0 4.930 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.930 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.930 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.930 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 4.930 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.930 * [taylor]: Taking taylor expansion of N in N 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [taylor]: Taking taylor expansion of 1.0 in N 4.930 * [backup-simplify]: Simplify 1.0 into 1.0 4.930 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.931 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.931 * [backup-simplify]: Simplify (+ 1 0) into 1 4.932 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.932 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 4.933 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) 4.933 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 4.933 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 4.933 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.933 * [taylor]: Taking taylor expansion of 1/3 in N 4.933 * [backup-simplify]: Simplify 1/3 into 1/3 4.933 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.933 * [taylor]: Taking taylor expansion of N in N 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (/ 1 1) into 1 4.933 * [backup-simplify]: Simplify (log 1) into 0 4.934 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.934 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.934 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.934 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 4.934 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.934 * [taylor]: Taking taylor expansion of N in N 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [taylor]: Taking taylor expansion of 1.0 in N 4.934 * [backup-simplify]: Simplify 1.0 into 1.0 4.934 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.934 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.935 * [backup-simplify]: Simplify (+ 1 0) into 1 4.936 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.936 * [backup-simplify]: Simplify (* (pow N -1/3) (sqrt 1.0)) into (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 4.936 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) 4.937 * [backup-simplify]: Simplify (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 N) 1/3) (sqrt 1.0)))) into (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))) 4.938 * [backup-simplify]: Simplify (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))) into (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))) 4.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.940 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.940 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.941 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.942 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0)))) 4.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.945 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.945 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.946 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.947 * [backup-simplify]: Simplify (+ (* (pow N -1/3) (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (* (pow (/ 1 N) 1/3) (/ 1 (sqrt 1.0)))) 4.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 N) 1/3) (/ 1 (sqrt 1.0))))) 1)) (pow (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 4.954 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 4.956 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 4.956 * [backup-simplify]: Simplify (+ 0 0) into 0 4.960 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.963 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.963 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 4.964 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.966 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (sqrt 1.0) 3))))) 4.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0))))) 2)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (sqrt 1.0) 3)))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 4.969 * [backup-simplify]: Simplify (+ 0 0) into 0 4.973 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.975 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.976 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.976 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.978 * [backup-simplify]: Simplify (+ (* (pow N -1/3) (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (* (pow (/ 1 N) 1/3) (/ 1 (pow (sqrt 1.0) 3))))) 4.981 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 N) 1/3) (/ 1 (sqrt 1.0))))) 2)) (pow (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow (/ 1 N) 1/3) (/ 1 (pow (sqrt 1.0) 3)))))) 1)) (pow (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 4.984 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 4.986 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 4.990 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))))) into (- (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (+ (/ N (pow (sqrt 1.0) 2)) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))))) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 4.990 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 N) 1.0)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) 4.990 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 4.990 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 4.990 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 4.990 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 4.990 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 4.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 4.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 4.990 * [taylor]: Taking taylor expansion of 1/3 in N 4.990 * [backup-simplify]: Simplify 1/3 into 1/3 4.990 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 4.990 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.991 * [taylor]: Taking taylor expansion of N in N 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (* 1 1) into 1 4.991 * [backup-simplify]: Simplify (log 1) into 0 4.991 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.991 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 4.991 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 4.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 4.991 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.991 * [taylor]: Taking taylor expansion of N in N 4.991 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (/ 1 1) into 1 4.992 * [taylor]: Taking taylor expansion of 1.0 in N 4.992 * [backup-simplify]: Simplify 1.0 into 1.0 4.992 * [backup-simplify]: Simplify (+ 1 0) into 1 4.992 * [backup-simplify]: Simplify (sqrt 0) into 0 4.993 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.993 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 4.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.995 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.995 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 4.996 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.996 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 4.996 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 4.996 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 4.996 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 4.996 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.996 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.996 * [taylor]: Taking taylor expansion of 1/3 in N 4.996 * [backup-simplify]: Simplify 1/3 into 1/3 4.996 * [taylor]: Taking taylor expansion of (log N) in N 4.996 * [taylor]: Taking taylor expansion of N in N 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify 1 into 1 4.997 * [backup-simplify]: Simplify (log 1) into 0 4.997 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.997 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.997 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 4.997 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.997 * [taylor]: Taking taylor expansion of N in N 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 1 into 1 4.997 * [backup-simplify]: Simplify (/ 1 1) into 1 4.997 * [taylor]: Taking taylor expansion of 1.0 in N 4.997 * [backup-simplify]: Simplify 1.0 into 1.0 4.998 * [backup-simplify]: Simplify (+ 1 0) into 1 4.998 * [backup-simplify]: Simplify (sqrt 0) into 0 4.999 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.999 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 5.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.000 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.000 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.001 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.001 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 5.001 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow N 1/3)))) into (log (- (* +nan.0 (pow N 1/3)))) 5.001 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 5.001 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 5.001 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 5.001 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 5.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 5.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 5.001 * [taylor]: Taking taylor expansion of 1/3 in N 5.001 * [backup-simplify]: Simplify 1/3 into 1/3 5.001 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 5.001 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.001 * [taylor]: Taking taylor expansion of N in N 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify 1 into 1 5.002 * [backup-simplify]: Simplify (* 1 1) into 1 5.002 * [backup-simplify]: Simplify (log 1) into 0 5.002 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.002 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 5.002 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 5.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 5.002 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.002 * [taylor]: Taking taylor expansion of N in N 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [backup-simplify]: Simplify (/ 1 1) into 1 5.003 * [taylor]: Taking taylor expansion of 1.0 in N 5.003 * [backup-simplify]: Simplify 1.0 into 1.0 5.003 * [backup-simplify]: Simplify (+ 1 0) into 1 5.003 * [backup-simplify]: Simplify (sqrt 0) into 0 5.004 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.004 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 5.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.006 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 5.007 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.007 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 5.007 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 5.007 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 5.007 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 5.007 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.007 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.007 * [taylor]: Taking taylor expansion of 1/3 in N 5.007 * [backup-simplify]: Simplify 1/3 into 1/3 5.007 * [taylor]: Taking taylor expansion of (log N) in N 5.007 * [taylor]: Taking taylor expansion of N in N 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (log 1) into 0 5.008 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.008 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.008 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 5.008 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.008 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.008 * [taylor]: Taking taylor expansion of N in N 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (/ 1 1) into 1 5.008 * [taylor]: Taking taylor expansion of 1.0 in N 5.008 * [backup-simplify]: Simplify 1.0 into 1.0 5.009 * [backup-simplify]: Simplify (+ 1 0) into 1 5.009 * [backup-simplify]: Simplify (sqrt 0) into 0 5.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.010 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 5.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.011 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.011 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.012 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.012 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 5.012 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow N 1/3)))) into (log (- (* +nan.0 (pow N 1/3)))) 5.012 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) into (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) 5.013 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) into (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) 5.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.013 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.015 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.018 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.018 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 5.019 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.020 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 5.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 1) into +nan.0 5.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.021 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.023 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.025 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.025 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.026 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.027 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow N 1/3))) 5.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow N 1/3)))) 1)) (pow (- (* +nan.0 (pow N 1/3))) 1)))) 1) into +nan.0 5.027 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.028 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.028 * [backup-simplify]: Simplify (+ 0 0) into 0 5.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.035 * [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 5.035 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.036 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 5.037 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.037 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 5.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 2)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 2) into +nan.0 5.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.039 * [backup-simplify]: Simplify (+ 0 0) into 0 5.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.044 * [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 5.044 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.045 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.046 * [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 5.049 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow N 1/3))) 5.050 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow N 1/3)))) 2)) (pow (- (* +nan.0 (pow N 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow N 1/3)))) 1)) (pow (- (* +nan.0 (pow N 1/3))) 1)))) 2) into +nan.0 5.050 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.052 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- (* +nan.0 (pow (pow (/ 1 N) 2) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3))))))) into (- (+ (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.052 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) 5.052 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 5.052 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 5.052 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 5.052 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 5.052 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 5.052 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.052 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.052 * [taylor]: Taking taylor expansion of -1 in N 5.052 * [backup-simplify]: Simplify -1 into -1 5.053 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.053 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.054 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.055 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2)) 5.055 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 5.055 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 5.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 5.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 5.055 * [taylor]: Taking taylor expansion of 1/3 in N 5.055 * [backup-simplify]: Simplify 1/3 into 1/3 5.055 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 5.055 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.055 * [taylor]: Taking taylor expansion of N in N 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 1 into 1 5.055 * [backup-simplify]: Simplify (* 1 1) into 1 5.056 * [backup-simplify]: Simplify (log 1) into 0 5.056 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.056 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 5.056 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 5.056 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.056 * [taylor]: Taking taylor expansion of 1.0 in N 5.056 * [backup-simplify]: Simplify 1.0 into 1.0 5.056 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.056 * [taylor]: Taking taylor expansion of N in N 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 1 into 1 5.056 * [backup-simplify]: Simplify (/ 1 1) into 1 5.057 * [backup-simplify]: Simplify (- 1) into -1 5.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.057 * [backup-simplify]: Simplify (sqrt 0) into 0 5.058 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.058 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 5.059 * [backup-simplify]: Simplify (* (/ 1 (pow (cbrt -1) 2)) 0) into 0 5.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.060 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.060 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 5.061 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.061 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 5.062 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))))) into 0 5.064 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 5.066 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) into (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 5.066 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 5.066 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 5.066 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 5.066 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.066 * [taylor]: Taking taylor expansion of -1 in N 5.066 * [backup-simplify]: Simplify -1 into -1 5.066 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.067 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.067 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 5.067 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 5.067 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.067 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.068 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.068 * [taylor]: Taking taylor expansion of 1/3 in N 5.068 * [backup-simplify]: Simplify 1/3 into 1/3 5.068 * [taylor]: Taking taylor expansion of (log N) in N 5.068 * [taylor]: Taking taylor expansion of N in N 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (log 1) into 0 5.068 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.068 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.068 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.068 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.068 * [taylor]: Taking taylor expansion of 1.0 in N 5.068 * [backup-simplify]: Simplify 1.0 into 1.0 5.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.068 * [taylor]: Taking taylor expansion of N in N 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.069 * [backup-simplify]: Simplify (/ 1 1) into 1 5.069 * [backup-simplify]: Simplify (- 1) into -1 5.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.069 * [backup-simplify]: Simplify (sqrt 0) into 0 5.070 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.070 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 5.071 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) 0) into 0 5.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.072 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.073 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 5.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 5.075 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 5.075 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) into (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 5.076 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 5.076 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 5.076 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 5.076 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 5.076 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.076 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.076 * [taylor]: Taking taylor expansion of -1 in N 5.076 * [backup-simplify]: Simplify -1 into -1 5.076 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.076 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.077 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.078 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2)) 5.079 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 5.079 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 5.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 5.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 5.079 * [taylor]: Taking taylor expansion of 1/3 in N 5.079 * [backup-simplify]: Simplify 1/3 into 1/3 5.079 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 5.079 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.079 * [taylor]: Taking taylor expansion of N in N 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [backup-simplify]: Simplify (* 1 1) into 1 5.079 * [backup-simplify]: Simplify (log 1) into 0 5.080 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.080 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 5.080 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 5.080 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.080 * [taylor]: Taking taylor expansion of 1.0 in N 5.080 * [backup-simplify]: Simplify 1.0 into 1.0 5.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.080 * [taylor]: Taking taylor expansion of N in N 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [backup-simplify]: Simplify (/ 1 1) into 1 5.080 * [backup-simplify]: Simplify (- 1) into -1 5.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.081 * [backup-simplify]: Simplify (sqrt 0) into 0 5.082 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.082 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 5.082 * [backup-simplify]: Simplify (* (/ 1 (pow (cbrt -1) 2)) 0) into 0 5.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.084 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.084 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 5.085 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.085 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 5.086 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))))) into 0 5.088 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 5.089 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) into (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 5.089 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 5.090 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 5.090 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 5.090 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.090 * [taylor]: Taking taylor expansion of -1 in N 5.090 * [backup-simplify]: Simplify -1 into -1 5.090 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.090 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.091 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 5.091 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 5.091 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.091 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.091 * [taylor]: Taking taylor expansion of 1/3 in N 5.091 * [backup-simplify]: Simplify 1/3 into 1/3 5.091 * [taylor]: Taking taylor expansion of (log N) in N 5.091 * [taylor]: Taking taylor expansion of N in N 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [backup-simplify]: Simplify (log 1) into 0 5.092 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.092 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.092 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.092 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 5.092 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.092 * [taylor]: Taking taylor expansion of 1.0 in N 5.092 * [backup-simplify]: Simplify 1.0 into 1.0 5.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.092 * [taylor]: Taking taylor expansion of N in N 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [backup-simplify]: Simplify (/ 1 1) into 1 5.092 * [backup-simplify]: Simplify (- 1) into -1 5.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.093 * [backup-simplify]: Simplify (sqrt 0) into 0 5.094 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.094 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 5.094 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) 0) into 0 5.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.095 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.096 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.096 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 5.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 5.098 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 5.099 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) into (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 5.101 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))))) into (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))))) 5.103 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))))) into (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))))) 5.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.104 * [backup-simplify]: Simplify (- 0) into 0 5.104 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.106 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.108 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.108 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.109 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 5.110 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.110 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 5.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.112 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0 5.115 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (* 0 (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 5.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1)))) 1) into +nan.0 5.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.118 * [backup-simplify]: Simplify (- 0) into 0 5.119 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.120 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.122 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.123 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.123 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.124 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow N 1/3))) 5.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 5.127 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (+ (* 0 (- (* +nan.0 (pow N 1/3)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 5.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1)))) 1) into +nan.0 5.129 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.129 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (- 0) into 0 5.130 * [backup-simplify]: Simplify (+ 0 0) into 0 5.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.136 * [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 5.136 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 5.138 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.139 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 5.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.140 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0 5.143 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (* 0 (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (* 0 (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 5.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 2)) (pow (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1)))) 2) into +nan.0 5.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.152 * [backup-simplify]: Simplify (- 0) into 0 5.153 * [backup-simplify]: Simplify (+ 0 0) into 0 5.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.157 * [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 5.158 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.159 * [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 5.160 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow N 1/3))) 5.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 5.163 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (+ (* 0 (- (* +nan.0 (pow N 1/3)))) (+ (* 0 (- (* +nan.0 (pow N 1/3)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 5.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 2)) (pow (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1)))) 2) into +nan.0 5.167 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.167 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.170 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow (/ 1 (- N)) 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow (/ 1 (- N)) 2) 1/3)))))))) into (- (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))) (log (- (* +nan.0 (* (pow (/ -1 N) 1/3) (/ 1 (cbrt -1))))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.170 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 5.170 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.170 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.170 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.170 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.170 * [taylor]: Taking taylor expansion of 1/3 in N 5.170 * [backup-simplify]: Simplify 1/3 into 1/3 5.170 * [taylor]: Taking taylor expansion of (log N) in N 5.170 * [taylor]: Taking taylor expansion of N in N 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.171 * [backup-simplify]: Simplify (log 1) into 0 5.171 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.171 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.171 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.171 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.171 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.171 * [taylor]: Taking taylor expansion of 1/3 in N 5.171 * [backup-simplify]: Simplify 1/3 into 1/3 5.171 * [taylor]: Taking taylor expansion of (log N) in N 5.171 * [taylor]: Taking taylor expansion of N in N 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [backup-simplify]: Simplify (log 1) into 0 5.172 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.172 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.172 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.172 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.173 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.173 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.174 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.174 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.175 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.176 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.177 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.177 * [backup-simplify]: Simplify 0 into 0 5.179 * [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 5.180 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.181 * [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 5.182 * [backup-simplify]: Simplify 0 into 0 5.187 * [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 5.187 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.188 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.190 * [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 5.190 * [backup-simplify]: Simplify 0 into 0 5.198 * [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 5.199 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.202 * [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 5.202 * [backup-simplify]: Simplify 0 into 0 5.217 * [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 5.217 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.218 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.221 * [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 5.221 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.222 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.222 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.222 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.222 * [taylor]: Taking taylor expansion of 1/3 in N 5.222 * [backup-simplify]: Simplify 1/3 into 1/3 5.222 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.222 * [taylor]: Taking taylor expansion of N in N 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (/ 1 1) into 1 5.222 * [backup-simplify]: Simplify (log 1) into 0 5.223 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.223 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.223 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.223 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.223 * [taylor]: Taking taylor expansion of 1/3 in N 5.223 * [backup-simplify]: Simplify 1/3 into 1/3 5.223 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.223 * [taylor]: Taking taylor expansion of N in N 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (/ 1 1) into 1 5.223 * [backup-simplify]: Simplify (log 1) into 0 5.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.224 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.224 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.224 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.226 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.226 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.232 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.233 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.236 * [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 5.236 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.237 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.238 * [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 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.243 * [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 5.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.246 * [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 5.246 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.255 * [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 5.255 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.256 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.258 * [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 5.258 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.273 * [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 5.274 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.278 * [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 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.278 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 5.278 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 5.278 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 5.278 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.278 * [taylor]: Taking taylor expansion of -1 in N 5.278 * [backup-simplify]: Simplify -1 into -1 5.279 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.279 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.279 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.279 * [taylor]: Taking taylor expansion of 1/3 in N 5.279 * [backup-simplify]: Simplify 1/3 into 1/3 5.279 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.279 * [taylor]: Taking taylor expansion of N in N 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (/ 1 1) into 1 5.280 * [backup-simplify]: Simplify (log 1) into 0 5.280 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.280 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.280 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.280 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 5.280 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.280 * [taylor]: Taking taylor expansion of -1 in N 5.280 * [backup-simplify]: Simplify -1 into -1 5.281 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.281 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.281 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.281 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.281 * [taylor]: Taking taylor expansion of 1/3 in N 5.281 * [backup-simplify]: Simplify 1/3 into 1/3 5.281 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.281 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.281 * [taylor]: Taking taylor expansion of N in N 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 1 into 1 5.282 * [backup-simplify]: Simplify (/ 1 1) into 1 5.282 * [backup-simplify]: Simplify (log 1) into 0 5.282 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.282 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.282 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.283 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 5.283 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 5.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.285 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.285 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.286 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.288 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.289 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.291 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 5.291 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.294 * [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 5.295 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.295 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.296 * [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 5.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.298 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.304 * [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 5.304 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.306 * [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 5.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.311 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 5.311 * [backup-simplify]: Simplify 0 into 0 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.320 * [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 5.320 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.323 * [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 5.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.325 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 5.325 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.341 * [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 5.341 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.345 * [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 5.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.348 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 5.348 * [backup-simplify]: Simplify 0 into 0 5.348 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 5.349 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 5.349 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.349 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.349 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.349 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.349 * [taylor]: Taking taylor expansion of 1/3 in N 5.349 * [backup-simplify]: Simplify 1/3 into 1/3 5.349 * [taylor]: Taking taylor expansion of (log N) in N 5.349 * [taylor]: Taking taylor expansion of N in N 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify (log 1) into 0 5.349 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.349 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.349 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.349 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.349 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.349 * [taylor]: Taking taylor expansion of 1/3 in N 5.349 * [backup-simplify]: Simplify 1/3 into 1/3 5.349 * [taylor]: Taking taylor expansion of (log N) in N 5.349 * [taylor]: Taking taylor expansion of N in N 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 1 into 1 5.350 * [backup-simplify]: Simplify (log 1) into 0 5.350 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.350 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.350 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.350 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.351 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.352 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.352 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.352 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.354 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.354 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.355 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.358 * [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 5.358 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.359 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.360 * [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 5.360 * [backup-simplify]: Simplify 0 into 0 5.365 * [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 5.365 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.367 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.368 * [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 5.368 * [backup-simplify]: Simplify 0 into 0 5.376 * [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 5.377 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.380 * [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 5.380 * [backup-simplify]: Simplify 0 into 0 5.397 * [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 5.398 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.402 * [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 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.402 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.403 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.403 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.403 * [taylor]: Taking taylor expansion of 1/3 in N 5.403 * [backup-simplify]: Simplify 1/3 into 1/3 5.403 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.403 * [taylor]: Taking taylor expansion of N in N 5.403 * [backup-simplify]: Simplify 0 into 0 5.403 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (/ 1 1) into 1 5.403 * [backup-simplify]: Simplify (log 1) into 0 5.403 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.404 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.404 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.404 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.404 * [taylor]: Taking taylor expansion of 1/3 in N 5.404 * [backup-simplify]: Simplify 1/3 into 1/3 5.404 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.404 * [taylor]: Taking taylor expansion of N in N 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [backup-simplify]: Simplify (/ 1 1) into 1 5.404 * [backup-simplify]: Simplify (log 1) into 0 5.404 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.405 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.405 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.405 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.406 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.407 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.407 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.409 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.411 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.414 * [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 5.414 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.415 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.416 * [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 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.421 * [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 5.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.423 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.424 * [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 5.424 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.434 * [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 5.434 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.437 * [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 5.437 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.452 * [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 5.453 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.457 * [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 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.457 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 5.457 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 5.457 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 5.457 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.457 * [taylor]: Taking taylor expansion of -1 in N 5.457 * [backup-simplify]: Simplify -1 into -1 5.458 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.458 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.458 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.458 * [taylor]: Taking taylor expansion of 1/3 in N 5.458 * [backup-simplify]: Simplify 1/3 into 1/3 5.458 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.458 * [taylor]: Taking taylor expansion of N in N 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (/ 1 1) into 1 5.459 * [backup-simplify]: Simplify (log 1) into 0 5.459 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.459 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.459 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.459 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 5.459 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.459 * [taylor]: Taking taylor expansion of -1 in N 5.459 * [backup-simplify]: Simplify -1 into -1 5.459 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.460 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.460 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.460 * [taylor]: Taking taylor expansion of 1/3 in N 5.460 * [backup-simplify]: Simplify 1/3 into 1/3 5.460 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.460 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.460 * [taylor]: Taking taylor expansion of N in N 5.460 * [backup-simplify]: Simplify 0 into 0 5.460 * [backup-simplify]: Simplify 1 into 1 5.460 * [backup-simplify]: Simplify (/ 1 1) into 1 5.461 * [backup-simplify]: Simplify (log 1) into 0 5.461 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.461 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.461 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.461 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 5.462 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.469 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.470 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.470 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 5.470 * [backup-simplify]: Simplify 0 into 0 5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.472 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.473 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.474 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.475 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.478 * [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 5.479 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.480 * [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 5.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.482 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 5.482 * [backup-simplify]: Simplify 0 into 0 5.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.488 * [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 5.489 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.491 * [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 5.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.493 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 5.493 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.502 * [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 5.502 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.504 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.506 * [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 5.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.508 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.523 * [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 5.524 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.528 * [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 5.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.530 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 5.530 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 5.531 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 5.531 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.531 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.531 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.531 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.531 * [taylor]: Taking taylor expansion of 1/3 in N 5.531 * [backup-simplify]: Simplify 1/3 into 1/3 5.531 * [taylor]: Taking taylor expansion of (log N) in N 5.531 * [taylor]: Taking taylor expansion of N in N 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [backup-simplify]: Simplify (log 1) into 0 5.532 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.532 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.532 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.532 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.532 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.532 * [taylor]: Taking taylor expansion of 1/3 in N 5.532 * [backup-simplify]: Simplify 1/3 into 1/3 5.532 * [taylor]: Taking taylor expansion of (log N) in N 5.532 * [taylor]: Taking taylor expansion of N in N 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (log 1) into 0 5.533 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.533 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.533 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.533 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.534 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.534 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.535 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.535 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.537 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.537 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.538 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.538 * [backup-simplify]: Simplify 0 into 0 5.541 * [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 5.541 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.542 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.543 * [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 5.543 * [backup-simplify]: Simplify 0 into 0 5.553 * [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 5.554 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.556 * [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 5.556 * [backup-simplify]: Simplify 0 into 0 5.564 * [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 5.565 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.566 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.568 * [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 5.568 * [backup-simplify]: Simplify 0 into 0 5.583 * [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 5.583 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.588 * [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 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.588 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.588 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.588 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.588 * [taylor]: Taking taylor expansion of 1/3 in N 5.588 * [backup-simplify]: Simplify 1/3 into 1/3 5.588 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.588 * [taylor]: Taking taylor expansion of N in N 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.589 * [backup-simplify]: Simplify (log 1) into 0 5.589 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.589 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.589 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.589 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.589 * [taylor]: Taking taylor expansion of 1/3 in N 5.589 * [backup-simplify]: Simplify 1/3 into 1/3 5.589 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.589 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.589 * [taylor]: Taking taylor expansion of N in N 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (/ 1 1) into 1 5.590 * [backup-simplify]: Simplify (log 1) into 0 5.590 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.590 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.590 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.590 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.592 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.592 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.592 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.595 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.596 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.597 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.597 * [backup-simplify]: Simplify 0 into 0 5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.600 * [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 5.600 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.601 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.602 * [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 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.607 * [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 5.608 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.609 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.610 * [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 5.610 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.619 * [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 5.619 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.622 * [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 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.643 * [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 5.644 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.648 * [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 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.649 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 5.649 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 5.649 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 5.649 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.649 * [taylor]: Taking taylor expansion of -1 in N 5.649 * [backup-simplify]: Simplify -1 into -1 5.649 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.649 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.649 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.650 * [taylor]: Taking taylor expansion of 1/3 in N 5.650 * [backup-simplify]: Simplify 1/3 into 1/3 5.650 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.650 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.650 * [taylor]: Taking taylor expansion of N in N 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify (/ 1 1) into 1 5.650 * [backup-simplify]: Simplify (log 1) into 0 5.651 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.651 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.651 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.651 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 5.651 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.651 * [taylor]: Taking taylor expansion of -1 in N 5.651 * [backup-simplify]: Simplify -1 into -1 5.651 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.652 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.652 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.652 * [taylor]: Taking taylor expansion of 1/3 in N 5.652 * [backup-simplify]: Simplify 1/3 into 1/3 5.652 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.652 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.652 * [taylor]: Taking taylor expansion of N in N 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (/ 1 1) into 1 5.652 * [backup-simplify]: Simplify (log 1) into 0 5.653 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.653 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.653 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.653 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 5.654 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 5.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.655 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.655 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.656 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.657 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.659 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.659 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.660 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.662 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 5.662 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.665 * [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 5.665 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.667 * [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 5.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.668 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.674 * [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 5.675 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.676 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.677 * [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 5.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.679 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 5.679 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.688 * [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 5.688 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.690 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.691 * [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 5.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.694 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.709 * [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 5.710 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.717 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.720 * [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 5.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.723 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 5.723 * * * [progress]: simplifying candidates 5.725 * [simplify]: Simplifying: (* (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N))) (log (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (exp (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (* (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (pow (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) 3) (pow (log (/ (sqrt (+ N 1.0)) (cbrt N))) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (- (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 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cost 0 5.730 * * [simplify]: Extracting # 8 : cost 0 5.730 * * [simplify]: Extracting # 9 : cost 0 5.730 * * [simplify]: Extracting # 10 : cost 0 5.731 * * [simplify]: Extracting # 11 : cost 0 5.731 * * [simplify]: Extracting # 12 : cost 0 5.731 * * [simplify]: iteration 0 : 229 enodes (cost 2047 ) 5.783 * * [simplify]: Extracting # 0 : cost 0 5.784 * * [simplify]: Extracting # 1 : cost 0 5.784 * * [simplify]: Extracting # 2 : cost 0 5.785 * * [simplify]: Extracting # 3 : cost 0 5.789 * * [simplify]: Extracting # 4 : cost 0 5.790 * * [simplify]: iteration 1 : 509 enodes (cost 1900 ) 5.897 * * [simplify]: Extracting # 0 : cost 0 5.899 * * [simplify]: Extracting # 1 : cost 0 5.900 * * [simplify]: Extracting # 2 : cost 0 5.902 * * [simplify]: Extracting # 3 : cost 0 5.903 * * [simplify]: Extracting # 4 : cost 0 5.905 * * [simplify]: Extracting # 5 : cost 0 5.906 * * [simplify]: Extracting # 6 : cost 0 5.907 * * [simplify]: Extracting # 7 : cost 0 5.909 * * [simplify]: iteration 2 : 1291 enodes (cost 1631 ) 6.344 * * [simplify]: Extracting # 0 : cost 0 6.349 * * [simplify]: Extracting # 1 : cost 0 6.355 * * [simplify]: Extracting # 2 : cost 0 6.360 * * [simplify]: Extracting # 3 : cost 0 6.370 * * [simplify]: Extracting # 4 : cost 0 6.376 * * [simplify]: Extracting # 5 : cost 0 6.381 * * [simplify]: iteration 3 : 4398 enodes (cost 1495 ) 7.192 * * [simplify]: Extracting # 0 : cost 0 7.198 * * [simplify]: Extracting # 1 : cost 0 7.204 * * [simplify]: Extracting # 2 : cost 0 7.209 * * [simplify]: iteration done: 5000 enodes (cost 1495 ) 7.210 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N)))) (/ (+ N 1.0) N) (* (cbrt (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N)))) (cbrt (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N))))) (cbrt (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N)))) (pow (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N))) 3) (sqrt (- (* 2 (log (/ (sqrt (+ 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(sqrt (+ N 1.0)) (pow N 2/3))) (log (cbrt (sqrt N)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))) (- (log (/ (sqrt (+ N 1.0)) (pow N 2/3))) (* 2 (log (cbrt (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (pow N 2/3))) (log (sqrt (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (pow N 2/3)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (sqrt (/ (sqrt (+ N 1.0)) (pow N 2/3)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (- (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N))) (- (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (pow N 2/3))) (* 2 (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (- (log (pow N 2/3)) (log (/ (sqrt (+ 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)) (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)) (+ (* (/ (pow N 2) (* 1.0 1.0)) -1/2) (+ (/ N 1.0) (+ (log (* (cbrt (/ 1 (pow N 2))) (sqrt 1.0))) (log (* (cbrt (/ 1 N)) (sqrt 1.0)))))) (- (+ (log (- (* (cbrt (/ 1 N)) +nan.0))) (log (- (* +nan.0 (cbrt (/ 1 (pow N 2))))))) (- (/ +nan.0 (pow N 2)) (/ +nan.0 N))) (+ (log (/ (- (* +nan.0 (cbrt (/ 1 (pow N 2))))) (pow (cbrt -1) 2))) (- (log (* (/ (cbrt (/ -1 N)) (cbrt -1)) (- +nan.0))) (- (/ +nan.0 (pow N 2)) (/ +nan.0 N)))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) 7.211 * * * [progress]: adding candidates to table 7.524 * * [progress]: iteration 4 / 4 7.524 * * * [progress]: picking best candidate 7.529 * * * * [pick]: Picked # 7.530 * * * [progress]: localizing error 7.557 * * * [progress]: generating rewritten candidates 7.557 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.619 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 7.621 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 7.628 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 7.635 * * * [progress]: generating series expansions 7.635 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.636 * [backup-simplify]: Simplify (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) into (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (+ (log (pow (+ N 1.0) 1/4)) (log (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4))))) 7.636 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (+ (log (pow (+ N 1.0) 1/4)) (log (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4))))) in (N) around 0 7.636 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (+ (log (pow (+ N 1.0) 1/4)) (log (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4))))) in N 7.636 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 7.636 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 7.636 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.636 * [taylor]: Taking taylor expansion of 1/3 in N 7.636 * [backup-simplify]: Simplify 1/3 into 1/3 7.636 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.636 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.636 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.636 * [taylor]: Taking taylor expansion of N in N 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 1 into 1 7.637 * [backup-simplify]: Simplify (* 1 1) into 1 7.637 * [backup-simplify]: Simplify (/ 1 1) into 1 7.637 * [backup-simplify]: Simplify (log 1) into 0 7.637 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.638 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.638 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.638 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 7.638 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.638 * [taylor]: Taking taylor expansion of N in N 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 1 into 1 7.638 * [taylor]: Taking taylor expansion of 1.0 in N 7.638 * [backup-simplify]: Simplify 1.0 into 1.0 7.638 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.638 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.639 * [backup-simplify]: Simplify (+ 1 0) into 1 7.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.640 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 7.640 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) 7.640 * [taylor]: Taking taylor expansion of (+ (log (pow (+ N 1.0) 1/4)) (log (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4)))) in N 7.640 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/4)) in N 7.640 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/4) in N 7.640 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ N 1.0)))) in N 7.640 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ N 1.0))) in N 7.641 * [taylor]: Taking taylor expansion of 1/4 in N 7.641 * [backup-simplify]: Simplify 1/4 into 1/4 7.641 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.641 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 7.641 * [backup-simplify]: Simplify 1.0 into 1.0 7.641 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.641 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.642 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 7.643 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 7.643 * [backup-simplify]: Simplify (log (pow 1.0 1/4)) into (log (pow 1.0 1/4)) 7.643 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4))) in N 7.643 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4)) in N 7.643 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.644 * [taylor]: Taking taylor expansion of 1/3 in N 7.644 * [backup-simplify]: Simplify 1/3 into 1/3 7.644 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.644 * [taylor]: Taking taylor expansion of N in N 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.644 * [backup-simplify]: Simplify (/ 1 1) into 1 7.644 * [backup-simplify]: Simplify (log 1) into 0 7.644 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.644 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.645 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.645 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/4) in N 7.645 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ N 1.0)))) in N 7.645 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ N 1.0))) in N 7.645 * [taylor]: Taking taylor expansion of 1/4 in N 7.645 * [backup-simplify]: Simplify 1/4 into 1/4 7.645 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.645 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.645 * [taylor]: Taking taylor expansion of N in N 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 1 into 1 7.645 * [taylor]: Taking taylor expansion of 1.0 in N 7.645 * [backup-simplify]: Simplify 1.0 into 1.0 7.645 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.645 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.646 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 7.647 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 7.647 * [backup-simplify]: Simplify (* (pow N -1/3) (pow 1.0 1/4)) into (* (pow (/ 1 N) 1/3) (pow 1.0 1/4)) 7.648 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) into (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) 7.648 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (+ (log (pow (+ N 1.0) 1/4)) (log (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4))))) in N 7.648 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 7.648 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 7.648 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.648 * [taylor]: Taking taylor expansion of 1/3 in N 7.648 * [backup-simplify]: Simplify 1/3 into 1/3 7.648 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.648 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.648 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.648 * [taylor]: Taking taylor expansion of N in N 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 1 into 1 7.648 * [backup-simplify]: Simplify (* 1 1) into 1 7.648 * [backup-simplify]: Simplify (/ 1 1) into 1 7.649 * [backup-simplify]: Simplify (log 1) into 0 7.649 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.649 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.649 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.649 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 7.649 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.649 * [taylor]: Taking taylor expansion of N in N 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 1 into 1 7.649 * [taylor]: Taking taylor expansion of 1.0 in N 7.649 * [backup-simplify]: Simplify 1.0 into 1.0 7.649 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.650 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.650 * [backup-simplify]: Simplify (+ 1 0) into 1 7.651 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.651 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 7.652 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) 7.652 * [taylor]: Taking taylor expansion of (+ (log (pow (+ N 1.0) 1/4)) (log (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4)))) in N 7.652 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/4)) in N 7.652 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/4) in N 7.652 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ N 1.0)))) in N 7.652 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ N 1.0))) in N 7.652 * [taylor]: Taking taylor expansion of 1/4 in N 7.652 * [backup-simplify]: Simplify 1/4 into 1/4 7.652 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.652 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.652 * [taylor]: Taking taylor expansion of N in N 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify 1 into 1 7.652 * [taylor]: Taking taylor expansion of 1.0 in N 7.652 * [backup-simplify]: Simplify 1.0 into 1.0 7.652 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.653 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.653 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 7.655 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 7.655 * [backup-simplify]: Simplify (log (pow 1.0 1/4)) into (log (pow 1.0 1/4)) 7.655 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4))) in N 7.655 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (pow (+ N 1.0) 1/4)) in N 7.655 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.655 * [taylor]: Taking taylor expansion of 1/3 in N 7.655 * [backup-simplify]: Simplify 1/3 into 1/3 7.656 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.656 * [taylor]: Taking taylor expansion of N in N 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [backup-simplify]: Simplify (/ 1 1) into 1 7.656 * [backup-simplify]: Simplify (log 1) into 0 7.656 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.656 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.656 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.656 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/4) in N 7.657 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ N 1.0)))) in N 7.657 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ N 1.0))) in N 7.657 * [taylor]: Taking taylor expansion of 1/4 in N 7.657 * [backup-simplify]: Simplify 1/4 into 1/4 7.657 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.657 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.657 * [taylor]: Taking taylor expansion of N in N 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [taylor]: Taking taylor expansion of 1.0 in N 7.657 * [backup-simplify]: Simplify 1.0 into 1.0 7.657 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.657 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.658 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 7.659 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 7.659 * [backup-simplify]: Simplify (* (pow N -1/3) (pow 1.0 1/4)) into (* (pow (/ 1 N) 1/3) (pow 1.0 1/4)) 7.660 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) into (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) 7.661 * [backup-simplify]: Simplify (+ (log (pow 1.0 1/4)) (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4)))) into (+ (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) (log (pow 1.0 1/4))) 7.662 * [backup-simplify]: Simplify (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) (+ (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) (log (pow 1.0 1/4)))) into (+ (log (pow 1.0 1/4)) (+ (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))))) 7.664 * [backup-simplify]: Simplify (+ (log (pow 1.0 1/4)) (+ (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))))) into (+ (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) (log (pow 1.0 1/4)))) 7.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.666 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 7.667 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.668 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0)))) 7.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 7.670 * [backup-simplify]: Simplify (+ 1 0) into 1 7.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.674 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 7.677 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 7.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (pow 1.0 1/4))) 1)) (pow (pow 1.0 1/4) 1)))) 1) into 0.25 7.684 * [backup-simplify]: Simplify (+ 1 0) into 1 7.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.689 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 7.692 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.693 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.694 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.694 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.696 * [backup-simplify]: Simplify (+ (* (pow N -1/3) (* 0.25 (pow 1.0 1/4))) (* 0 (pow 1.0 1/4))) into (* 0.25 (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) 7.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (* (pow (/ 1 N) 1/3) (pow 1.0 1/4)))) 1)) (pow (* (pow (/ 1 N) 1/3) (pow 1.0 1/4)) 1)))) 1) into 0.25 7.697 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5 7.698 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) 0.5) into (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 2))) 0.5) 7.707 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 2))) 0.5) into (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 2))) 0.5) 7.707 * [backup-simplify]: Simplify (+ 0 0) into 0 7.711 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.714 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.714 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 7.715 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.717 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (sqrt 1.0) 3))))) 7.720 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0))))) 2)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (sqrt 1.0) 3)))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 7.721 * [backup-simplify]: Simplify (+ 0 0) into 0 7.727 * [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)) 7.729 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 7.738 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 7.758 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (pow 1.0 1/4))) 2)) (pow (pow 1.0 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4))) 1)) (pow (pow 1.0 1/4) 1)))) 2) into (* 1/2 (- 0.0625 (+ (* 1/4 (/ 1 (pow 1.0 2))) (* 0.0625 (pow (sqrt 1.0) 2))))) 7.758 * [backup-simplify]: Simplify (+ 0 0) into 0 7.764 * [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)) 7.767 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 7.776 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 7.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.779 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.779 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.780 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.784 * [backup-simplify]: Simplify (+ (* (pow N -1/3) (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4))) (+ (* 0 (* 0.25 (pow 1.0 1/4))) (* 0 (pow 1.0 1/4)))) into (- (* 0.03125 (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) (* 1/8 (* (pow (/ 1 N) 1/3) (pow (/ 1 (pow 1.0 7)) 1/4)))) 7.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (* (pow (/ 1 N) 1/3) (pow 1.0 1/4)))) 2)) (pow (* (pow (/ 1 N) 1/3) (pow 1.0 1/4)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.03125 (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) (* 1/8 (* (pow (/ 1 N) 1/3) (pow (/ 1 (pow 1.0 7)) 1/4))))) 1)) (pow (* (pow (/ 1 N) 1/3) (pow 1.0 1/4)) 1)))) 2) into (* 1/2 (- (* 0.0625 (sqrt 1.0)) (+ (* 1/4 (sqrt (/ 1 (pow 1.0 3)))) (* 0.0625 (pow (sqrt 1.0) 2))))) 7.808 * [backup-simplify]: Simplify (+ (* 1/2 (- 0.0625 (+ (* 1/4 (/ 1 (pow 1.0 2))) (* 0.0625 (pow (sqrt 1.0) 2))))) (* 1/2 (- (* 0.0625 (sqrt 1.0)) (+ (* 1/4 (sqrt (/ 1 (pow 1.0 3)))) (* 0.0625 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.03125 (sqrt 1.0)) 0.03125) (+ (* 1/8 (/ 1 (pow 1.0 2))) (+ (* 1/8 (sqrt (/ 1 (pow 1.0 3)))) (* 0.0625 (pow (sqrt 1.0) 2))))) 7.821 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (- (+ (* 0.03125 (sqrt 1.0)) 0.03125) (+ (* 1/8 (/ 1 (pow 1.0 2))) (+ (* 1/8 (sqrt (/ 1 (pow 1.0 3)))) (* 0.0625 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.03125 (sqrt 1.0)) 0.03125) (+ (* 1/8 (/ 1 (pow 1.0 2))) (+ (* 1/8 (sqrt (/ 1 (pow 1.0 3)))) (+ (* 1/4 (/ 1 (pow (sqrt 1.0) 4))) (* 0.0625 (pow (sqrt 1.0) 2)))))) 7.837 * [backup-simplify]: Simplify (- (+ (* 0.03125 (sqrt 1.0)) 0.03125) (+ (* 1/8 (/ 1 (pow 1.0 2))) (+ (* 1/8 (sqrt (/ 1 (pow 1.0 3)))) (+ (* 1/4 (/ 1 (pow (sqrt 1.0) 4))) (* 0.0625 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.03125 (sqrt 1.0)) 0.03125) (+ (* 1/8 (/ 1 (pow 1.0 2))) (+ (* 1/8 (sqrt (/ 1 (pow 1.0 3)))) (+ (* 1/4 (/ 1 (pow (sqrt 1.0) 4))) (* 0.0625 (pow (sqrt 1.0) 2)))))) 7.854 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.03125 (sqrt 1.0)) 0.03125) (+ (* 1/8 (/ 1 (pow 1.0 2))) (+ (* 1/8 (sqrt (/ 1 (pow 1.0 3)))) (+ (* 1/4 (/ 1 (pow (sqrt 1.0) 4))) (* 0.0625 (pow (sqrt 1.0) 2)))))) (pow N 2)) (+ (* (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 2))) 0.5) N) (+ (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) (log (pow 1.0 1/4)))))) into (- (+ (* 0.03125 (pow N 2)) (+ (log (* (pow (/ 1 N) 1/3) (pow 1.0 1/4))) (+ (* 0.5 N) (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) (+ (log (pow 1.0 1/4)) (+ (* 1/2 (/ N (pow (sqrt 1.0) 2))) (* 0.03125 (* (pow N 2) (sqrt 1.0))))))))) (+ (* 1/8 (* (pow N 2) (sqrt (/ 1 (pow 1.0 3))))) (+ (* 0.0625 (* (pow N 2) (pow (sqrt 1.0) 2))) (+ (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4))) (* 1/8 (/ (pow N 2) (pow 1.0 2))))))) 7.855 * [backup-simplify]: Simplify (+ (log (/ (sqrt (sqrt (+ (/ 1 N) 1.0))) (cbrt (/ 1 N)))) (+ (log (sqrt (sqrt (+ (/ 1 N) 1.0)))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (pow (/ 1 N) 2/3))))) into (+ (log (* (pow N 1/3) (pow (+ (/ 1 N) 1.0) 1/4))) (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (pow (+ (/ 1 N) 1.0) 1/4)))) 7.855 * [approximate]: Taking taylor expansion of (+ (log (* (pow N 1/3) (pow (+ (/ 1 N) 1.0) 1/4))) (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (pow (+ (/ 1 N) 1.0) 1/4)))) in (N) around 0 7.855 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/3) (pow (+ (/ 1 N) 1.0) 1/4))) (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (pow (+ (/ 1 N) 1.0) 1/4)))) in N 7.855 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (pow (+ (/ 1 N) 1.0) 1/4))) in N 7.855 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (pow (+ (/ 1 N) 1.0) 1/4)) in N 7.855 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.855 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.855 * [taylor]: Taking taylor expansion of 1/3 in N 7.855 * [backup-simplify]: Simplify 1/3 into 1/3 7.855 * [taylor]: Taking taylor expansion of (log N) in N 7.855 * [taylor]: Taking taylor expansion of N in N 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [backup-simplify]: Simplify (log 1) into 0 7.856 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.856 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.856 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.856 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/4) in N 7.856 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 N) 1.0)))) in N 7.856 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 N) 1.0))) in N 7.856 * [taylor]: Taking taylor expansion of 1/4 in N 7.856 * [backup-simplify]: Simplify 1/4 into 1/4 7.856 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.856 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.856 * [taylor]: Taking taylor expansion of N in N 7.856 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify 1 into 1 7.856 * [backup-simplify]: Simplify (/ 1 1) into 1 7.856 * [taylor]: Taking taylor expansion of 1.0 in N 7.856 * [backup-simplify]: Simplify 1.0 into 1.0 7.856 * [backup-simplify]: Simplify (+ 1 0) into 1 7.857 * [backup-simplify]: Simplify (log 1) into 0 7.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.857 * [backup-simplify]: Simplify (* 1/4 (- (log N))) into (* -1/4 (log N)) 7.857 * [backup-simplify]: Simplify (exp (* -1/4 (log N))) into (pow N -1/4) 7.857 * [backup-simplify]: Simplify (* (pow N 1/3) (pow N -1/4)) into (pow N 1/12) 7.857 * [backup-simplify]: Simplify (log (pow N 1/12)) into (log (pow N 1/12)) 7.857 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (pow (+ (/ 1 N) 1.0) 1/4))) in N 7.857 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 7.857 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 7.857 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 7.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 7.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 7.857 * [taylor]: Taking taylor expansion of 1/3 in N 7.857 * [backup-simplify]: Simplify 1/3 into 1/3 7.858 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 7.858 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.858 * [taylor]: Taking taylor expansion of N in N 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify (* 1 1) into 1 7.858 * [backup-simplify]: Simplify (log 1) into 0 7.858 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.858 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.858 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 7.859 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.859 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.859 * [taylor]: Taking taylor expansion of N in N 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (/ 1 1) into 1 7.859 * [taylor]: Taking taylor expansion of 1.0 in N 7.859 * [backup-simplify]: Simplify 1.0 into 1.0 7.859 * [backup-simplify]: Simplify (+ 1 0) into 1 7.859 * [backup-simplify]: Simplify (sqrt 0) into 0 7.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.860 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 7.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.862 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.862 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 7.863 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.863 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 7.863 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 7.863 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/4)) in N 7.863 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/4) in N 7.863 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 N) 1.0)))) in N 7.863 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 N) 1.0))) in N 7.863 * [taylor]: Taking taylor expansion of 1/4 in N 7.863 * [backup-simplify]: Simplify 1/4 into 1/4 7.863 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.863 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.863 * [taylor]: Taking taylor expansion of N in N 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 1 into 1 7.864 * [backup-simplify]: Simplify (/ 1 1) into 1 7.864 * [taylor]: Taking taylor expansion of 1.0 in N 7.864 * [backup-simplify]: Simplify 1.0 into 1.0 7.864 * [backup-simplify]: Simplify (+ 1 0) into 1 7.864 * [backup-simplify]: Simplify (log 1) into 0 7.865 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.865 * [backup-simplify]: Simplify (* 1/4 (- (log N))) into (* -1/4 (log N)) 7.865 * [backup-simplify]: Simplify (exp (* -1/4 (log N))) into (pow N -1/4) 7.865 * [backup-simplify]: Simplify (log (pow N -1/4)) into (log (pow N -1/4)) 7.865 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/3) (pow (+ (/ 1 N) 1.0) 1/4))) (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (pow (+ (/ 1 N) 1.0) 1/4)))) in N 7.865 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (pow (+ (/ 1 N) 1.0) 1/4))) in N 7.865 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (pow (+ (/ 1 N) 1.0) 1/4)) in N 7.865 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.865 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.865 * [taylor]: Taking taylor expansion of 1/3 in N 7.865 * [backup-simplify]: Simplify 1/3 into 1/3 7.865 * [taylor]: Taking taylor expansion of (log N) in N 7.865 * [taylor]: Taking taylor expansion of N in N 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [backup-simplify]: Simplify (log 1) into 0 7.866 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.866 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.866 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.866 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/4) in N 7.866 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 N) 1.0)))) in N 7.866 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 N) 1.0))) in N 7.866 * [taylor]: Taking taylor expansion of 1/4 in N 7.866 * [backup-simplify]: Simplify 1/4 into 1/4 7.866 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.866 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.866 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.866 * [taylor]: Taking taylor expansion of N in N 7.866 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify 1 into 1 7.866 * [backup-simplify]: Simplify (/ 1 1) into 1 7.866 * [taylor]: Taking taylor expansion of 1.0 in N 7.866 * [backup-simplify]: Simplify 1.0 into 1.0 7.866 * [backup-simplify]: Simplify (+ 1 0) into 1 7.867 * [backup-simplify]: Simplify (log 1) into 0 7.867 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.867 * [backup-simplify]: Simplify (* 1/4 (- (log N))) into (* -1/4 (log N)) 7.867 * [backup-simplify]: Simplify (exp (* -1/4 (log N))) into (pow N -1/4) 7.867 * [backup-simplify]: Simplify (* (pow N 1/3) (pow N -1/4)) into (pow N 1/12) 7.867 * [backup-simplify]: Simplify (log (pow N 1/12)) into (log (pow N 1/12)) 7.867 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (pow (+ (/ 1 N) 1.0) 1/4))) in N 7.867 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 7.867 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 7.867 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 7.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 7.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 7.867 * [taylor]: Taking taylor expansion of 1/3 in N 7.867 * [backup-simplify]: Simplify 1/3 into 1/3 7.867 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 7.867 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.867 * [taylor]: Taking taylor expansion of N in N 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.868 * [backup-simplify]: Simplify (* 1 1) into 1 7.868 * [backup-simplify]: Simplify (log 1) into 0 7.868 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.868 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.868 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 7.868 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.868 * [taylor]: Taking taylor expansion of N in N 7.868 * [backup-simplify]: Simplify 0 into 0 7.868 * [backup-simplify]: Simplify 1 into 1 7.869 * [backup-simplify]: Simplify (/ 1 1) into 1 7.869 * [taylor]: Taking taylor expansion of 1.0 in N 7.869 * [backup-simplify]: Simplify 1.0 into 1.0 7.869 * [backup-simplify]: Simplify (+ 1 0) into 1 7.869 * [backup-simplify]: Simplify (sqrt 0) into 0 7.870 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.870 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 7.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.871 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.872 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.872 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 7.873 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.873 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 7.873 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 7.873 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/4)) in N 7.873 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/4) in N 7.873 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 N) 1.0)))) in N 7.873 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 N) 1.0))) in N 7.873 * [taylor]: Taking taylor expansion of 1/4 in N 7.873 * [backup-simplify]: Simplify 1/4 into 1/4 7.873 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.873 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.873 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.873 * [taylor]: Taking taylor expansion of N in N 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 1 into 1 7.874 * [backup-simplify]: Simplify (/ 1 1) into 1 7.874 * [taylor]: Taking taylor expansion of 1.0 in N 7.874 * [backup-simplify]: Simplify 1.0 into 1.0 7.874 * [backup-simplify]: Simplify (+ 1 0) into 1 7.874 * [backup-simplify]: Simplify (log 1) into 0 7.874 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.875 * [backup-simplify]: Simplify (* 1/4 (- (log N))) into (* -1/4 (log N)) 7.875 * [backup-simplify]: Simplify (exp (* -1/4 (log N))) into (pow N -1/4) 7.875 * [backup-simplify]: Simplify (log (pow N -1/4)) into (log (pow N -1/4)) 7.875 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (pow N -1/4))) into (+ (log (pow N -1/4)) (log (- (* +nan.0 (pow (pow N 2) 1/3))))) 7.875 * [backup-simplify]: Simplify (+ (log (pow N 1/12)) (+ (log (pow N -1/4)) (log (- (* +nan.0 (pow (pow N 2) 1/3)))))) into (+ (log (pow N -1/4)) (+ (log (pow N 1/12)) (log (- (* +nan.0 (pow (pow N 2) 1/3)))))) 7.875 * [backup-simplify]: Simplify (+ (log (pow N -1/4)) (+ (log (pow N 1/12)) (log (- (* +nan.0 (pow (pow N 2) 1/3)))))) into (+ (log (pow N -1/4)) (+ (log (pow N 1/12)) (log (- (* +nan.0 (pow (pow N 2) 1/3)))))) 7.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.876 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.880 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.881 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log N)))) into 0.25 7.882 * [backup-simplify]: Simplify (* (exp (* -1/4 (log N))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 N) 1/4)) 7.883 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.883 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.884 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 7.884 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.885 * [backup-simplify]: Simplify (+ (* (pow N 1/3) (* 0.25 (pow (/ 1 N) 1/4))) (* 0 (pow N -1/4))) into (* 0.25 (pow N 1/12)) 7.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (pow N 1/12))) 1)) (pow (pow N 1/12) 1)))) 1) into 0.25 7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.888 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.890 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.890 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.891 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 7.892 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.892 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 7.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 1) into +nan.0 7.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.904 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.905 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log N)))) into 0.25 7.906 * [backup-simplify]: Simplify (* (exp (* -1/4 (log N))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 N) 1/4)) 7.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (pow (/ 1 N) 1/4))) 1)) (pow (pow N -1/4) 1)))) 1) into 0.25 7.907 * [backup-simplify]: Simplify (+ +nan.0 0.25) into (- +nan.0) 7.907 * [backup-simplify]: Simplify (+ 0.25 (- +nan.0)) into (- +nan.0) 7.908 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.908 * [backup-simplify]: Simplify (+ 0 0) into 0 7.915 * [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 7.915 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.916 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.125) 7.919 * [backup-simplify]: Simplify (* (exp (* -1/4 (log N))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 N) 1/4)) 7.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.921 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.921 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.922 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.923 * [backup-simplify]: Simplify (+ (* (pow N 1/3) (* -0.09375 (pow (/ 1 N) 1/4))) (+ (* 0 (* 0.25 (pow (/ 1 N) 1/4))) (* 0 (pow N -1/4)))) into (- (* 0.09375 (pow N 1/12))) 7.923 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (pow N 1/12))) 2)) (pow (pow N 1/12) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.09375 (pow N 1/12)))) 1)) (pow (pow N 1/12) 1)))) 2) into -0.125 7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (+ 0 0) into 0 7.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.930 * [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 7.930 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.931 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 7.932 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.933 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 7.934 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 2)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 2) into +nan.0 7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.935 * [backup-simplify]: Simplify (+ 0 0) into 0 7.942 * [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 7.942 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.942 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.125) 7.946 * [backup-simplify]: Simplify (* (exp (* -1/4 (log N))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 N) 1/4)) 7.946 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (pow (/ 1 N) 1/4))) 2)) (pow (pow N -1/4) 2))) (* 1 (/ (* 1 (pow (* 2 (* -0.09375 (pow (/ 1 N) 1/4))) 1)) (pow (pow N -1/4) 1)))) 2) into -0.125 7.947 * [backup-simplify]: Simplify (+ +nan.0 -0.125) into (- +nan.0) 7.947 * [backup-simplify]: Simplify (+ -0.125 (- +nan.0)) into (- +nan.0) 7.948 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.948 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (pow (/ 1 N) -1/4)) (+ (log (pow (/ 1 N) 1/12)) (log (- (* +nan.0 (pow (pow (/ 1 N) 2) 1/3)))))))) into (- (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (+ (log (pow (/ 1 N) -1/4)) (log (pow (/ 1 N) 1/12)))) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 7.949 * [backup-simplify]: Simplify (+ (log (/ (sqrt (sqrt (+ (/ 1 (- N)) 1.0))) (cbrt (/ 1 (- N))))) (+ (log (sqrt (sqrt (+ (/ 1 (- N)) 1.0)))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (pow (/ 1 (- N)) 2/3))))) into (+ (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4)))) (+ (log (pow (- 1.0 (/ 1 N)) 1/4)) (log (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N))))))) 7.949 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4)))) (+ (log (pow (- 1.0 (/ 1 N)) 1/4)) (log (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 7.949 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4)))) (+ (log (pow (- 1.0 (/ 1 N)) 1/4)) (log (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 7.949 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4)))) in N 7.949 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4))) in N 7.949 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.949 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.949 * [taylor]: Taking taylor expansion of -1 in N 7.949 * [backup-simplify]: Simplify -1 into -1 7.949 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.950 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.951 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.951 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4)) in N 7.951 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.951 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.951 * [taylor]: Taking taylor expansion of 1/3 in N 7.951 * [backup-simplify]: Simplify 1/3 into 1/3 7.951 * [taylor]: Taking taylor expansion of (log N) in N 7.951 * [taylor]: Taking taylor expansion of N in N 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify 1 into 1 7.951 * [backup-simplify]: Simplify (log 1) into 0 7.951 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.951 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.951 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.951 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 7.951 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 7.951 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 7.951 * [taylor]: Taking taylor expansion of 1/4 in N 7.951 * [backup-simplify]: Simplify 1/4 into 1/4 7.951 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.951 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.951 * [taylor]: Taking taylor expansion of 1.0 in N 7.951 * [backup-simplify]: Simplify 1.0 into 1.0 7.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.952 * [taylor]: Taking taylor expansion of N in N 7.952 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify 1 into 1 7.952 * [backup-simplify]: Simplify (/ 1 1) into 1 7.952 * [backup-simplify]: Simplify (- 1) into -1 7.952 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.952 * [backup-simplify]: Simplify (log -1) into (log -1) 7.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.953 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 7.954 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 7.954 * [backup-simplify]: Simplify (* (pow N 1/3) (exp (* 1/4 (- (log -1) (log N))))) into (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3)) 7.955 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3))) into (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3)) 7.956 * [backup-simplify]: Simplify (log (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))) into (log (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))) 7.956 * [taylor]: Taking taylor expansion of (+ (log (pow (- 1.0 (/ 1 N)) 1/4)) (log (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 7.956 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/4)) in N 7.956 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 7.956 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 7.956 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 7.956 * [taylor]: Taking taylor expansion of 1/4 in N 7.956 * [backup-simplify]: Simplify 1/4 into 1/4 7.956 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.956 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.956 * [taylor]: Taking taylor expansion of 1.0 in N 7.956 * [backup-simplify]: Simplify 1.0 into 1.0 7.956 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.956 * [taylor]: Taking taylor expansion of N in N 7.956 * [backup-simplify]: Simplify 0 into 0 7.956 * [backup-simplify]: Simplify 1 into 1 7.956 * [backup-simplify]: Simplify (/ 1 1) into 1 7.957 * [backup-simplify]: Simplify (- 1) into -1 7.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.957 * [backup-simplify]: Simplify (log -1) into (log -1) 7.958 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.958 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 7.958 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 7.959 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log -1) (log N))))) into (* 1/4 (- (log -1) (log N))) 7.959 * [taylor]: Taking taylor expansion of (log (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 7.959 * [taylor]: Taking taylor expansion of (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 7.959 * [taylor]: Taking taylor expansion of (pow (/ (pow N 2) (pow -1 2)) 1/3) in N 7.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow N 2) (pow -1 2))))) in N 7.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow N 2) (pow -1 2)))) in N 7.959 * [taylor]: Taking taylor expansion of 1/3 in N 7.959 * [backup-simplify]: Simplify 1/3 into 1/3 7.959 * [taylor]: Taking taylor expansion of (log (/ (pow N 2) (pow -1 2))) in N 7.959 * [taylor]: Taking taylor expansion of (/ (pow N 2) (pow -1 2)) in N 7.959 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.959 * [taylor]: Taking taylor expansion of N in N 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [taylor]: Taking taylor expansion of (pow -1 2) in N 7.959 * [taylor]: Taking taylor expansion of -1 in N 7.959 * [backup-simplify]: Simplify -1 into -1 7.959 * [backup-simplify]: Simplify (* 1 1) into 1 7.959 * [backup-simplify]: Simplify (* -1 -1) into 1 7.960 * [backup-simplify]: Simplify (/ 1 1) into 1 7.960 * [backup-simplify]: Simplify (log 1) into 0 7.960 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.960 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.960 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.960 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 7.960 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.960 * [taylor]: Taking taylor expansion of 1.0 in N 7.960 * [backup-simplify]: Simplify 1.0 into 1.0 7.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.960 * [taylor]: Taking taylor expansion of N in N 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 1 into 1 7.961 * [backup-simplify]: Simplify (/ 1 1) into 1 7.961 * [backup-simplify]: Simplify (- 1) into -1 7.961 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.961 * [backup-simplify]: Simplify (sqrt 0) into 0 7.962 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.962 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 7.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.963 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.964 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.965 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.965 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 7.965 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.966 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 7.966 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 7.966 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4)))) (+ (log (pow (- 1.0 (/ 1 N)) 1/4)) (log (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 7.966 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4)))) in N 7.966 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4))) in N 7.966 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 7.966 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.966 * [taylor]: Taking taylor expansion of -1 in N 7.966 * [backup-simplify]: Simplify -1 into -1 7.966 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.967 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.967 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 7.968 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (pow (- 1.0 (/ 1 N)) 1/4)) in N 7.968 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.968 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.968 * [taylor]: Taking taylor expansion of 1/3 in N 7.968 * [backup-simplify]: Simplify 1/3 into 1/3 7.968 * [taylor]: Taking taylor expansion of (log N) in N 7.968 * [taylor]: Taking taylor expansion of N in N 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [backup-simplify]: Simplify (log 1) into 0 7.968 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.968 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.968 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.968 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 7.968 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 7.968 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 7.968 * [taylor]: Taking taylor expansion of 1/4 in N 7.968 * [backup-simplify]: Simplify 1/4 into 1/4 7.968 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.968 * [taylor]: Taking taylor expansion of 1.0 in N 7.968 * [backup-simplify]: Simplify 1.0 into 1.0 7.968 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.968 * [taylor]: Taking taylor expansion of N in N 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 1 into 1 7.969 * [backup-simplify]: Simplify (/ 1 1) into 1 7.969 * [backup-simplify]: Simplify (- 1) into -1 7.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.969 * [backup-simplify]: Simplify (log -1) into (log -1) 7.970 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.970 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 7.971 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 7.971 * [backup-simplify]: Simplify (* (pow N 1/3) (exp (* 1/4 (- (log -1) (log N))))) into (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3)) 7.972 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3))) into (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3)) 7.973 * [backup-simplify]: Simplify (log (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))) into (log (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))) 7.973 * [taylor]: Taking taylor expansion of (+ (log (pow (- 1.0 (/ 1 N)) 1/4)) (log (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 7.973 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/4)) in N 7.973 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 7.973 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 7.973 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 7.973 * [taylor]: Taking taylor expansion of 1/4 in N 7.973 * [backup-simplify]: Simplify 1/4 into 1/4 7.973 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.973 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.973 * [taylor]: Taking taylor expansion of 1.0 in N 7.973 * [backup-simplify]: Simplify 1.0 into 1.0 7.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.973 * [taylor]: Taking taylor expansion of N in N 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (/ 1 1) into 1 7.974 * [backup-simplify]: Simplify (- 1) into -1 7.974 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.974 * [backup-simplify]: Simplify (log -1) into (log -1) 7.975 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.975 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 7.975 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 7.976 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log -1) (log N))))) into (* 1/4 (- (log -1) (log N))) 7.976 * [taylor]: Taking taylor expansion of (log (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 7.976 * [taylor]: Taking taylor expansion of (* (pow (/ (pow N 2) (pow -1 2)) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 7.976 * [taylor]: Taking taylor expansion of (pow (/ (pow N 2) (pow -1 2)) 1/3) in N 7.976 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow N 2) (pow -1 2))))) in N 7.976 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow N 2) (pow -1 2)))) in N 7.976 * [taylor]: Taking taylor expansion of 1/3 in N 7.976 * [backup-simplify]: Simplify 1/3 into 1/3 7.976 * [taylor]: Taking taylor expansion of (log (/ (pow N 2) (pow -1 2))) in N 7.976 * [taylor]: Taking taylor expansion of (/ (pow N 2) (pow -1 2)) in N 7.976 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.976 * [taylor]: Taking taylor expansion of N in N 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 1 into 1 7.976 * [taylor]: Taking taylor expansion of (pow -1 2) in N 7.976 * [taylor]: Taking taylor expansion of -1 in N 7.976 * [backup-simplify]: Simplify -1 into -1 7.976 * [backup-simplify]: Simplify (* 1 1) into 1 7.976 * [backup-simplify]: Simplify (* -1 -1) into 1 7.977 * [backup-simplify]: Simplify (/ 1 1) into 1 7.977 * [backup-simplify]: Simplify (log 1) into 0 7.977 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.977 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.977 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.977 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 7.977 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.977 * [taylor]: Taking taylor expansion of 1.0 in N 7.977 * [backup-simplify]: Simplify 1.0 into 1.0 7.977 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.977 * [taylor]: Taking taylor expansion of N in N 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 1 into 1 7.978 * [backup-simplify]: Simplify (/ 1 1) into 1 7.978 * [backup-simplify]: Simplify (- 1) into -1 7.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.978 * [backup-simplify]: Simplify (sqrt 0) into 0 7.979 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.979 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 7.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.980 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.982 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.982 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 7.982 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.983 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 7.983 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 7.983 * [backup-simplify]: Simplify (+ (* 1/4 (- (log -1) (log N))) (log (- (* +nan.0 (pow (pow N 2) 1/3))))) into (- (+ (* 1/4 (log -1)) (log (- (* +nan.0 (pow (pow N 2) 1/3))))) (* 1/4 (log N))) 7.985 * [backup-simplify]: Simplify (+ (log (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))) (- (+ (* 1/4 (log -1)) (log (- (* +nan.0 (pow (pow N 2) 1/3))))) (* 1/4 (log N)))) into (- (+ (* 1/4 (log -1)) (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))))) (* 1/4 (log N))) 7.987 * [backup-simplify]: Simplify (- (+ (* 1/4 (log -1)) (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))))) (* 1/4 (log N))) into (- (+ (* 1/4 (log -1)) (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))))) (* 1/4 (log N))) 7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.988 * [backup-simplify]: Simplify (- 0) into 0 7.988 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.993 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.993 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.25) 7.995 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) 7.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.996 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.997 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 7.997 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.004 * [backup-simplify]: Simplify (+ (* (pow N 1/3) (* -0.25 (exp (* 1/4 (- (log -1) (log N)))))) (* 0 (exp (* 1/4 (- (log -1) (log N)))))) into (- (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3)))) 8.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 8.007 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3))))) (* 0 (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3)))) into (- (* 0.25 (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3)))) 8.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.25 (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))))) 1)) (pow (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3)) 1)))) 1) into -0.25 8.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.010 * [backup-simplify]: Simplify (- 0) into 0 8.010 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 8.014 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.015 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.25) 8.017 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) 8.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -0.25 (exp (* 1/4 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/4 (- (log -1) (log N)))) 1)))) 1) into -0.25 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify (- 0) into 0 8.019 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.021 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.022 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.024 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.024 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.025 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 8.025 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.026 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 8.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 1) into +nan.0 8.027 * [backup-simplify]: Simplify (+ -0.25 +nan.0) into (- +nan.0) 8.027 * [backup-simplify]: Simplify (+ -0.25 (- +nan.0)) into (- +nan.0) 8.028 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.028 * [backup-simplify]: Simplify (- 0) into 0 8.029 * [backup-simplify]: Simplify (+ 0 0) into 0 8.035 * [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 8.035 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.036 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.125) 8.041 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) 8.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.043 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.044 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.045 * [backup-simplify]: Simplify (+ (* (pow N 1/3) (* -0.09375 (exp (* 1/4 (- (log -1) (log N)))))) (+ (* 0 (* -0.25 (exp (* 1/4 (- (log -1) (log N)))))) (* 0 (exp (* 1/4 (- (log -1) (log N))))))) into (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3)))) 8.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 8.049 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* 0.09375 (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3))))) (+ (* 0 (- (* 0.25 (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3))))) (* 0 (* (exp (* 1/4 (- (log -1) (log N)))) (pow N 1/3))))) into (- (* 0.09375 (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3)))) 8.052 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.25 (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))))) 2)) (pow (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.09375 (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3))))) 1)) (pow (* (/ (exp (* 1/4 (- (log -1) (log N)))) (cbrt -1)) (pow N 1/3)) 1)))) 2) into -0.125 8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.053 * [backup-simplify]: Simplify (- 0) into 0 8.053 * [backup-simplify]: Simplify (+ 0 0) into 0 8.060 * [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 8.060 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.061 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.125) 8.065 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) 8.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -0.25 (exp (* 1/4 (- (log -1) (log N)))))) 2)) (pow (exp (* 1/4 (- (log -1) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -0.09375 (exp (* 1/4 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/4 (- (log -1) (log N)))) 1)))) 2) into -0.125 8.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.067 * [backup-simplify]: Simplify (- 0) into 0 8.068 * [backup-simplify]: Simplify (+ 0 0) into 0 8.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.071 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.074 * [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 8.075 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.076 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 8.077 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.077 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 8.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 2)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 2) into +nan.0 8.079 * [backup-simplify]: Simplify (+ -0.125 +nan.0) into (- +nan.0) 8.079 * [backup-simplify]: Simplify (+ -0.125 (- +nan.0)) into (- +nan.0) 8.079 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.082 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (+ (* 1/4 (log -1)) (+ (log (- (* +nan.0 (pow (pow (/ 1 (- N)) 2) 1/3)))) (log (* (/ (exp (* 1/4 (- (log -1) (log (/ 1 (- N)))))) (cbrt -1)) (pow (/ 1 (- N)) 1/3))))) (* 1/4 (log (/ 1 (- N))))))) into (- (+ (* 1/4 (log -1)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (* (pow (/ -1 N) 1/3) (/ (exp (* 1/4 (- (log -1) (log (/ -1 N))))) (cbrt -1)))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* 1/4 (log (/ -1 N))) (* +nan.0 (/ 1 N))))) 8.082 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 8.082 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 8.082 * [approximate]: Taking taylor expansion of (pow N 2/3) in (N) around 0 8.082 * [taylor]: Taking taylor expansion of (pow N 2/3) in N 8.082 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log N))) in N 8.082 * [taylor]: Taking taylor expansion of (* 2/3 (log N)) in N 8.082 * [taylor]: Taking taylor expansion of 2/3 in N 8.082 * [backup-simplify]: Simplify 2/3 into 2/3 8.082 * [taylor]: Taking taylor expansion of (log N) in N 8.082 * [taylor]: Taking taylor expansion of N in N 8.082 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify 1 into 1 8.082 * [backup-simplify]: Simplify (log 1) into 0 8.083 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.083 * [backup-simplify]: Simplify (* 2/3 (log N)) into (* 2/3 (log N)) 8.083 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 8.083 * [taylor]: Taking taylor expansion of (pow N 2/3) in N 8.083 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log N))) in N 8.083 * [taylor]: Taking taylor expansion of (* 2/3 (log N)) in N 8.083 * [taylor]: Taking taylor expansion of 2/3 in N 8.083 * [backup-simplify]: Simplify 2/3 into 2/3 8.083 * [taylor]: Taking taylor expansion of (log N) in N 8.083 * [taylor]: Taking taylor expansion of N in N 8.083 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify 1 into 1 8.083 * [backup-simplify]: Simplify (log 1) into 0 8.083 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.083 * [backup-simplify]: Simplify (* 2/3 (log N)) into (* 2/3 (log N)) 8.083 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 8.084 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 8.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.085 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.085 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (log N))) into 0 8.086 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.086 * [backup-simplify]: Simplify 0 into 0 8.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.088 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.088 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.089 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.092 * [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 8.092 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.093 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 8.094 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.094 * [backup-simplify]: Simplify 0 into 0 8.105 * [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 8.105 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.106 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 8.108 * [backup-simplify]: Simplify (* (exp (* 2/3 (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 8.108 * [backup-simplify]: Simplify 0 into 0 8.116 * [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 8.117 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.118 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 8.120 * [backup-simplify]: Simplify (* (exp (* 2/3 (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 8.120 * [backup-simplify]: Simplify 0 into 0 8.134 * [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 8.135 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.137 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 8.140 * [backup-simplify]: Simplify (* (exp (* 2/3 (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 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 8.140 * [backup-simplify]: Simplify (pow (/ 1 N) 2/3) into (pow (/ 1 N) 2/3) 8.141 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 2/3) in (N) around 0 8.141 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 2/3) in N 8.141 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (/ 1 N)))) in N 8.141 * [taylor]: Taking taylor expansion of (* 2/3 (log (/ 1 N))) in N 8.141 * [taylor]: Taking taylor expansion of 2/3 in N 8.141 * [backup-simplify]: Simplify 2/3 into 2/3 8.141 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.141 * [taylor]: Taking taylor expansion of N in N 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (/ 1 1) into 1 8.141 * [backup-simplify]: Simplify (log 1) into 0 8.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.142 * [backup-simplify]: Simplify (* 2/3 (- (log N))) into (* -2/3 (log N)) 8.142 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.142 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 2/3) in N 8.142 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (/ 1 N)))) in N 8.142 * [taylor]: Taking taylor expansion of (* 2/3 (log (/ 1 N))) in N 8.142 * [taylor]: Taking taylor expansion of 2/3 in N 8.142 * [backup-simplify]: Simplify 2/3 into 2/3 8.142 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.142 * [taylor]: Taking taylor expansion of N in N 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.142 * [backup-simplify]: Simplify (/ 1 1) into 1 8.142 * [backup-simplify]: Simplify (log 1) into 0 8.143 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.143 * [backup-simplify]: Simplify (* 2/3 (- (log N))) into (* -2/3 (log N)) 8.143 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.143 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.144 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.145 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (- (log N)))) into 0 8.145 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.145 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.148 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 8.149 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.149 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.153 * [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 8.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.154 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 8.155 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.160 * [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 8.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.162 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.163 * [backup-simplify]: Simplify (* (exp (* -2/3 (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 8.163 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.172 * [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 8.172 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.174 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.176 * [backup-simplify]: Simplify (* (exp (* -2/3 (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 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.197 * [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 8.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.199 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.202 * [backup-simplify]: Simplify (* (exp (* -2/3 (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 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 8.203 * [backup-simplify]: Simplify (pow (/ 1 (- N)) 2/3) into (pow (/ -1 N) 2/3) 8.203 * [approximate]: Taking taylor expansion of (pow (/ -1 N) 2/3) in (N) around 0 8.203 * [taylor]: Taking taylor expansion of (pow (/ -1 N) 2/3) in N 8.203 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (/ -1 N)))) in N 8.203 * [taylor]: Taking taylor expansion of (* 2/3 (log (/ -1 N))) in N 8.203 * [taylor]: Taking taylor expansion of 2/3 in N 8.203 * [backup-simplify]: Simplify 2/3 into 2/3 8.203 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 8.203 * [taylor]: Taking taylor expansion of (/ -1 N) in N 8.203 * [taylor]: Taking taylor expansion of -1 in N 8.203 * [backup-simplify]: Simplify -1 into -1 8.203 * [taylor]: Taking taylor expansion of N in N 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (/ -1 1) into -1 8.204 * [backup-simplify]: Simplify (log -1) into (log -1) 8.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.204 * [backup-simplify]: Simplify (* 2/3 (- (log -1) (log N))) into (* 2/3 (- (log -1) (log N))) 8.205 * [backup-simplify]: Simplify (exp (* 2/3 (- (log -1) (log N)))) into (exp (* 2/3 (- (log -1) (log N)))) 8.205 * [taylor]: Taking taylor expansion of (pow (/ -1 N) 2/3) in N 8.205 * [taylor]: Taking taylor expansion of (exp (* 2/3 (log (/ -1 N)))) in N 8.205 * [taylor]: Taking taylor expansion of (* 2/3 (log (/ -1 N))) in N 8.205 * [taylor]: Taking taylor expansion of 2/3 in N 8.205 * [backup-simplify]: Simplify 2/3 into 2/3 8.205 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 8.205 * [taylor]: Taking taylor expansion of (/ -1 N) in N 8.205 * [taylor]: Taking taylor expansion of -1 in N 8.205 * [backup-simplify]: Simplify -1 into -1 8.205 * [taylor]: Taking taylor expansion of N in N 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [backup-simplify]: Simplify (/ -1 1) into -1 8.205 * [backup-simplify]: Simplify (log -1) into (log -1) 8.206 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.206 * [backup-simplify]: Simplify (* 2/3 (- (log -1) (log N))) into (* 2/3 (- (log -1) (log N))) 8.207 * [backup-simplify]: Simplify (exp (* 2/3 (- (log -1) (log N)))) into (exp (* 2/3 (- (log -1) (log N)))) 8.207 * [backup-simplify]: Simplify (exp (* 2/3 (- (log -1) (log N)))) into (exp (* 2/3 (- (log -1) (log N)))) 8.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.209 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (- (log -1) (log N)))) into 0 8.210 * [backup-simplify]: Simplify (* (exp (* 2/3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.210 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.213 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.213 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 8.214 * [backup-simplify]: Simplify (* (exp (* 2/3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.214 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.218 * [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 8.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.219 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 8.220 * [backup-simplify]: Simplify (* (exp (* 2/3 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.220 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.226 * [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 8.227 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.228 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 8.230 * [backup-simplify]: Simplify (* (exp (* 2/3 (- (log -1) (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 8.230 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.239 * [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 8.240 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.242 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 8.244 * [backup-simplify]: Simplify (* (exp (* 2/3 (- (log -1) (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 8.244 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.260 * [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 8.260 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.262 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 8.270 * [backup-simplify]: Simplify (* (exp (* 2/3 (- (log -1) (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 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify (exp (* 2/3 (- (log -1) (log (/ 1 (- N)))))) into (exp (* 2/3 (- (log -1) (log (/ -1 N))))) 8.271 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 8.271 * [backup-simplify]: Simplify (log (sqrt (sqrt (+ N 1.0)))) into (log (pow (+ N 1.0) 1/4)) 8.271 * [approximate]: Taking taylor expansion of (log (pow (+ N 1.0) 1/4)) in (N) around 0 8.271 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/4)) in N 8.271 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/4) in N 8.271 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ N 1.0)))) in N 8.271 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ N 1.0))) in N 8.271 * [taylor]: Taking taylor expansion of 1/4 in N 8.271 * [backup-simplify]: Simplify 1/4 into 1/4 8.271 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 8.271 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.271 * [taylor]: Taking taylor expansion of N in N 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify 1 into 1 8.271 * [taylor]: Taking taylor expansion of 1.0 in N 8.271 * [backup-simplify]: Simplify 1.0 into 1.0 8.272 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.272 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.273 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 8.273 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 8.274 * [backup-simplify]: Simplify (log (pow 1.0 1/4)) into (log (pow 1.0 1/4)) 8.274 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 1/4)) in N 8.274 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/4) in N 8.274 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ N 1.0)))) in N 8.274 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ N 1.0))) in N 8.274 * [taylor]: Taking taylor expansion of 1/4 in N 8.274 * [backup-simplify]: Simplify 1/4 into 1/4 8.274 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 8.274 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.274 * [taylor]: Taking taylor expansion of N in N 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 1 into 1 8.274 * [taylor]: Taking taylor expansion of 1.0 in N 8.274 * [backup-simplify]: Simplify 1.0 into 1.0 8.275 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.275 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.275 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 8.276 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 8.277 * [backup-simplify]: Simplify (log (pow 1.0 1/4)) into (log (pow 1.0 1/4)) 8.278 * [backup-simplify]: Simplify (log (pow 1.0 1/4)) into (log (pow 1.0 1/4)) 8.278 * [backup-simplify]: Simplify (+ 1 0) into 1 8.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.282 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 8.285 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 8.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (pow 1.0 1/4))) 1)) (pow (pow 1.0 1/4) 1)))) 1) into 0.25 8.292 * [backup-simplify]: Simplify 0.25 into 0.25 8.293 * [backup-simplify]: Simplify (+ 0 0) into 0 8.298 * [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)) 8.301 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 8.310 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 8.329 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (pow 1.0 1/4))) 2)) (pow (pow 1.0 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4))) 1)) (pow (pow 1.0 1/4) 1)))) 2) into (* 1/2 (- 0.0625 (+ (* 1/4 (/ 1 (pow 1.0 2))) (* 0.0625 (pow (sqrt 1.0) 2))))) 8.334 * [backup-simplify]: Simplify (* 1/2 (- 0.0625 (+ (* 1/4 (/ 1 (pow 1.0 2))) (* 0.0625 (pow (sqrt 1.0) 2))))) into (* 1/2 (- 0.0625 (+ (* 1/4 (/ 1 (pow 1.0 2))) (* 0.0625 (pow (sqrt 1.0) 2))))) 8.341 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 0.0625 (+ (* 1/4 (/ 1 (pow 1.0 2))) (* 0.0625 (pow (sqrt 1.0) 2))))) (pow N 2)) (+ (* 0.25 N) (log (pow 1.0 1/4)))) into (- (+ (log (pow 1.0 1/4)) (+ (* 0.03125 (pow N 2)) (* 0.25 N))) (+ (* 0.03125 (* (pow N 2) (pow (sqrt 1.0) 2))) (* 1/8 (/ (pow N 2) (pow 1.0 2))))) 8.341 * [backup-simplify]: Simplify (log (sqrt (sqrt (+ (/ 1 N) 1.0)))) into (log (pow (+ (/ 1 N) 1.0) 1/4)) 8.341 * [approximate]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/4)) in (N) around 0 8.341 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/4)) in N 8.341 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/4) in N 8.341 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 N) 1.0)))) in N 8.341 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 N) 1.0))) in N 8.341 * [taylor]: Taking taylor expansion of 1/4 in N 8.341 * [backup-simplify]: Simplify 1/4 into 1/4 8.341 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 8.341 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.341 * [taylor]: Taking taylor expansion of N in N 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.341 * [backup-simplify]: Simplify (/ 1 1) into 1 8.341 * [taylor]: Taking taylor expansion of 1.0 in N 8.341 * [backup-simplify]: Simplify 1.0 into 1.0 8.342 * [backup-simplify]: Simplify (+ 1 0) into 1 8.342 * [backup-simplify]: Simplify (log 1) into 0 8.342 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.342 * [backup-simplify]: Simplify (* 1/4 (- (log N))) into (* -1/4 (log N)) 8.342 * [backup-simplify]: Simplify (exp (* -1/4 (log N))) into (pow N -1/4) 8.342 * [backup-simplify]: Simplify (log (pow N -1/4)) into (log (pow N -1/4)) 8.342 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 1/4)) in N 8.342 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/4) in N 8.342 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 N) 1.0)))) in N 8.342 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 N) 1.0))) in N 8.343 * [taylor]: Taking taylor expansion of 1/4 in N 8.343 * [backup-simplify]: Simplify 1/4 into 1/4 8.343 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 8.343 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.343 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.343 * [taylor]: Taking taylor expansion of N in N 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (/ 1 1) into 1 8.343 * [taylor]: Taking taylor expansion of 1.0 in N 8.343 * [backup-simplify]: Simplify 1.0 into 1.0 8.343 * [backup-simplify]: Simplify (+ 1 0) into 1 8.343 * [backup-simplify]: Simplify (log 1) into 0 8.344 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.344 * [backup-simplify]: Simplify (* 1/4 (- (log N))) into (* -1/4 (log N)) 8.344 * [backup-simplify]: Simplify (exp (* -1/4 (log N))) into (pow N -1/4) 8.344 * [backup-simplify]: Simplify (log (pow N -1/4)) into (log (pow N -1/4)) 8.344 * [backup-simplify]: Simplify (log (pow N -1/4)) into (log (pow N -1/4)) 8.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.345 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.349 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.349 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log N)))) into 0.25 8.351 * [backup-simplify]: Simplify (* (exp (* -1/4 (log N))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 N) 1/4)) 8.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.25 (pow (/ 1 N) 1/4))) 1)) (pow (pow N -1/4) 1)))) 1) into 0.25 8.351 * [backup-simplify]: Simplify 0.25 into 0.25 8.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify (+ 0 0) into 0 8.364 * [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 8.364 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.365 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.125) 8.368 * [backup-simplify]: Simplify (* (exp (* -1/4 (log N))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 N) 1/4)) 8.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.25 (pow (/ 1 N) 1/4))) 2)) (pow (pow N -1/4) 2))) (* 1 (/ (* 1 (pow (* 2 (* -0.09375 (pow (/ 1 N) 1/4))) 1)) (pow (pow N -1/4) 1)))) 2) into -0.125 8.369 * [backup-simplify]: Simplify -0.125 into -0.125 8.369 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.25 (/ 1 N)) (log (pow (/ 1 N) -1/4)))) into (- (+ (* 0.25 (/ 1 N)) (log (pow (/ 1 N) -1/4))) (* 0.125 (/ 1 (pow N 2)))) 8.369 * [backup-simplify]: Simplify (log (sqrt (sqrt (+ (/ 1 (- N)) 1.0)))) into (log (pow (- 1.0 (/ 1 N)) 1/4)) 8.369 * [approximate]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/4)) in (N) around 0 8.369 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/4)) in N 8.369 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 8.369 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 8.369 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 8.369 * [taylor]: Taking taylor expansion of 1/4 in N 8.369 * [backup-simplify]: Simplify 1/4 into 1/4 8.369 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 8.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.369 * [taylor]: Taking taylor expansion of 1.0 in N 8.370 * [backup-simplify]: Simplify 1.0 into 1.0 8.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.370 * [taylor]: Taking taylor expansion of N in N 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (/ 1 1) into 1 8.370 * [backup-simplify]: Simplify (- 1) into -1 8.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.371 * [backup-simplify]: Simplify (log -1) into (log -1) 8.371 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.371 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 8.372 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 8.372 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log -1) (log N))))) into (* 1/4 (- (log -1) (log N))) 8.372 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 1/4)) in N 8.372 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/4) in N 8.372 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 N))))) in N 8.372 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 N)))) in N 8.372 * [taylor]: Taking taylor expansion of 1/4 in N 8.372 * [backup-simplify]: Simplify 1/4 into 1/4 8.372 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 8.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.372 * [taylor]: Taking taylor expansion of 1.0 in N 8.372 * [backup-simplify]: Simplify 1.0 into 1.0 8.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.372 * [taylor]: Taking taylor expansion of N in N 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify 1 into 1 8.373 * [backup-simplify]: Simplify (/ 1 1) into 1 8.373 * [backup-simplify]: Simplify (- 1) into -1 8.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.373 * [backup-simplify]: Simplify (log -1) into (log -1) 8.374 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.374 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 8.374 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log N)))) into (exp (* 1/4 (- (log -1) (log N)))) 8.375 * [backup-simplify]: Simplify (log (exp (* 1/4 (- (log -1) (log N))))) into (* 1/4 (- (log -1) (log N))) 8.375 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log N))) into (* 1/4 (- (log -1) (log N))) 8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.376 * [backup-simplify]: Simplify (- 0) into 0 8.376 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 8.381 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.381 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.25) 8.383 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log N))))) 8.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -0.25 (exp (* 1/4 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/4 (- (log -1) (log N)))) 1)))) 1) into -0.25 8.384 * [backup-simplify]: Simplify -0.25 into -0.25 8.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.385 * [backup-simplify]: Simplify (- 0) into 0 8.385 * [backup-simplify]: Simplify (+ 0 0) into 0 8.392 * [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 8.392 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.393 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.125) 8.397 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log N))))) 8.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -0.25 (exp (* 1/4 (- (log -1) (log N)))))) 2)) (pow (exp (* 1/4 (- (log -1) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -0.09375 (exp (* 1/4 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/4 (- (log -1) (log N)))) 1)))) 2) into -0.125 8.398 * [backup-simplify]: Simplify -0.125 into -0.125 8.399 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.25 (/ 1 (- N))) (* 1/4 (- (log -1) (log (/ 1 (- N))))))) into (- (+ (* 0.25 (/ 1 N)) (* 1/4 (log -1))) (+ (* 0.125 (/ 1 (pow N 2))) (* 1/4 (log (/ -1 N))))) 8.399 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 8.399 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 8.399 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 8.399 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.399 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.399 * [taylor]: Taking taylor expansion of 1/3 in N 8.399 * [backup-simplify]: Simplify 1/3 into 1/3 8.399 * [taylor]: Taking taylor expansion of (log N) in N 8.399 * [taylor]: Taking taylor expansion of N in N 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.400 * [backup-simplify]: Simplify (log 1) into 0 8.400 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.400 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.400 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.400 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.400 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.400 * [taylor]: Taking taylor expansion of 1/3 in N 8.400 * [backup-simplify]: Simplify 1/3 into 1/3 8.400 * [taylor]: Taking taylor expansion of (log N) in N 8.400 * [taylor]: Taking taylor expansion of N in N 8.400 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify 1 into 1 8.400 * [backup-simplify]: Simplify (log 1) into 0 8.401 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.401 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.401 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.401 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.402 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.402 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 8.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.403 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.404 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.406 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.406 * [backup-simplify]: Simplify 0 into 0 8.408 * [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 8.409 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 8.410 * [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 8.410 * [backup-simplify]: Simplify 0 into 0 8.415 * [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 8.416 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 8.418 * [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 8.418 * [backup-simplify]: Simplify 0 into 0 8.427 * [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 8.427 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.429 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 8.431 * [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 8.431 * [backup-simplify]: Simplify 0 into 0 8.445 * [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 8.451 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.453 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 8.456 * [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 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.456 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 8.456 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 8.456 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.456 * [taylor]: Taking taylor expansion of 1/3 in N 8.456 * [backup-simplify]: Simplify 1/3 into 1/3 8.456 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.456 * [taylor]: Taking taylor expansion of N in N 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify (/ 1 1) into 1 8.456 * [backup-simplify]: Simplify (log 1) into 0 8.457 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.457 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.457 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.457 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.457 * [taylor]: Taking taylor expansion of 1/3 in N 8.457 * [backup-simplify]: Simplify 1/3 into 1/3 8.457 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.457 * [taylor]: Taking taylor expansion of N in N 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.457 * [backup-simplify]: Simplify (/ 1 1) into 1 8.458 * [backup-simplify]: Simplify (log 1) into 0 8.458 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.458 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.458 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.458 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 8.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 8.460 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.463 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.463 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 8.464 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.467 * [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 8.468 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 8.469 * [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 8.469 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.475 * [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 8.475 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.478 * [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 8.478 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.487 * [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 8.488 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.489 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.491 * [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 8.491 * [backup-simplify]: Simplify 0 into 0 8.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.507 * [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 8.507 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.511 * [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 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 8.512 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 8.512 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 8.512 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 8.512 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.512 * [taylor]: Taking taylor expansion of -1 in N 8.512 * [backup-simplify]: Simplify -1 into -1 8.512 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.512 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.512 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.513 * [taylor]: Taking taylor expansion of 1/3 in N 8.513 * [backup-simplify]: Simplify 1/3 into 1/3 8.513 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.513 * [taylor]: Taking taylor expansion of N in N 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 1 into 1 8.513 * [backup-simplify]: Simplify (/ 1 1) into 1 8.513 * [backup-simplify]: Simplify (log 1) into 0 8.513 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.513 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.513 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.513 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 8.514 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.514 * [taylor]: Taking taylor expansion of -1 in N 8.514 * [backup-simplify]: Simplify -1 into -1 8.514 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.514 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.514 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.514 * [taylor]: Taking taylor expansion of 1/3 in N 8.514 * [backup-simplify]: Simplify 1/3 into 1/3 8.514 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.514 * [taylor]: Taking taylor expansion of N in N 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.515 * [backup-simplify]: Simplify (/ 1 1) into 1 8.515 * [backup-simplify]: Simplify (log 1) into 0 8.515 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.515 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.515 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.516 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 8.516 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.518 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.518 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 8.519 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.519 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 8.519 * [backup-simplify]: Simplify 0 into 0 8.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.522 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 8.523 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.524 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 8.524 * [backup-simplify]: Simplify 0 into 0 8.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.527 * [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 8.528 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 8.529 * [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 8.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.531 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 8.531 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.543 * [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 8.544 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.546 * [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 8.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.548 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.558 * [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 8.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.559 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.561 * [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 8.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.563 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 8.563 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.579 * [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 8.579 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.584 * [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 8.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.586 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 8.586 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 8.587 * * * [progress]: simplifying candidates 8.589 * [simplify]: Simplifying: (* (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (* (sqrt (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (pow N 2/3)))) (* (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (exp (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (log (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (exp (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (* (cbrt (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (cbrt (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))))) (cbrt (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (* (* (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (sqrt (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (sqrt (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (+ (pow (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) 3) (pow (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))) 3)) (+ (* (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)))) (- (* (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (* (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))))) (- (* (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)))) (* (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3)))))) (- (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) (pow N 2/3))))) (+ (log (/ 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0.25 N))) (+ (* 0.03125 (* (pow N 2) (pow (sqrt 1.0) 2))) (* 1/8 (/ (pow N 2) (pow 1.0 2))))) (- (+ (* 0.25 (/ 1 N)) (log (pow (/ 1 N) -1/4))) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.25 (/ 1 N)) (* 1/4 (log -1))) (+ (* 0.125 (/ 1 (pow N 2))) (* 1/4 (log (/ -1 N))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 8.594 * * [simplify]: Extracting # 0 : cost 0 8.595 * * [simplify]: Extracting # 1 : cost 0 8.595 * * [simplify]: Extracting # 2 : cost 0 8.595 * * [simplify]: Extracting # 3 : cost 0 8.595 * * [simplify]: Extracting # 4 : cost 0 8.596 * * [simplify]: Extracting # 5 : cost 0 8.596 * * [simplify]: Extracting # 6 : cost 0 8.597 * * [simplify]: Extracting # 7 : cost 0 8.597 * * [simplify]: Extracting # 8 : cost 0 8.597 * * [simplify]: Extracting # 9 : cost 0 8.598 * * [simplify]: Extracting # 10 : cost 0 8.598 * * [simplify]: Extracting # 11 : cost 0 8.599 * * [simplify]: Extracting # 12 : cost 0 8.599 * * [simplify]: Extracting # 13 : cost 0 8.599 * * [simplify]: iteration 0 : 310 enodes (cost 3338 ) 8.675 * * [simplify]: Extracting # 0 : cost 0 8.676 * * [simplify]: Extracting # 1 : cost 0 8.677 * * [simplify]: Extracting # 2 : cost 0 8.677 * * [simplify]: Extracting # 3 : cost 0 8.678 * * [simplify]: Extracting # 4 : cost 0 8.679 * * [simplify]: Extracting # 5 : cost 0 8.680 * * [simplify]: Extracting # 6 : cost 0 8.681 * * [simplify]: iteration 1 : 737 enodes (cost 3263 ) 8.874 * * [simplify]: Extracting # 0 : cost 0 8.876 * * [simplify]: Extracting # 1 : cost 0 8.879 * * [simplify]: Extracting # 2 : cost 0 8.881 * * [simplify]: Extracting # 3 : cost 0 8.889 * * [simplify]: Extracting # 4 : cost 0 8.891 * * [simplify]: iteration 2 : 2019 enodes (cost 3138 ) 9.297 * * [simplify]: Extracting # 0 : cost 0 9.302 * * [simplify]: Extracting # 1 : cost 0 9.309 * * [simplify]: Extracting # 2 : cost 0 9.315 * * [simplify]: Extracting # 3 : cost 0 9.325 * * [simplify]: Extracting # 4 : cost 0 9.332 * * [simplify]: Extracting # 5 : cost 0 9.339 * * 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(log (* +nan.0 (- (cbrt (/ 1 (pow N 2)))))) (- (+ (/ (/ +nan.0 N) N) (* 1/4 (log (/ -1 N)))) (/ +nan.0 N))) (* 1/4 (log -1)))) (pow N 2/3) (pow (/ 1 N) -2/3) (pow (exp (+ 0 (log N))) 2/3) (- (- (+ (log (pow 1.0 1/4)) (* N (+ 0.25 (* N 0.03125)))) (* 1/8 (/ (pow N 2) (pow 1.0 2)))) (* 1.0 (* 0.03125 (pow N 2)))) (+ (* (- (log N)) -1/4) (- (/ 0.25 N) (/ 0.125 (* N N)))) (+ (- (* 1/4 (+ 0 (log N))) (/ 0.125 (* N N))) (/ 0.25 N)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) 9.341 * * * [progress]: adding candidates to table 9.921 * [progress]: [Phase 3 of 3] Extracting. 9.921 * * [regime]: Finding splitpoints for: (# # #) 9.922 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.922 * * * * [regimes]: Trying to branch on N from (# # #) 9.940 * * * [regime]: Found split indices: #