5.207 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.044 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.046 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.047 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.080 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.080 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.081 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.082 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.082 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.085 * [backup-simplify]: Simplify 1.0 into 1.0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [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)) 0.092 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.093 * [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)))) 0.093 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.093 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 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 0.093 * [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 0.094 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (log 1) into 0 0.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [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 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (log 1) into 0 0.095 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.095 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [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 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (- 1) into -1 0.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.107 * [backup-simplify]: Simplify (log -1) into (log -1) 0.107 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.108 * [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)) 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.113 * [backup-simplify]: Simplify -1.0 into -1.0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [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 0.120 * [backup-simplify]: Simplify -0.5 into -0.5 0.120 * [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)))) 0.120 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.121 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.121 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.121 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.121 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.121 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of 1.0 in N 0.121 * [backup-simplify]: Simplify 1.0 into 1.0 0.121 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.121 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.121 * [taylor]: Taking taylor expansion of (log N) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (log 1) into 0 0.121 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.122 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.122 * [taylor]: Taking taylor expansion of (log N) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.123 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.123 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.123 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.128 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [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)) 0.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.137 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.139 * [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))) 0.139 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.139 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.139 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of 1.0 in N 0.140 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (log 1) into 0 0.141 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.141 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of 1.0 in N 0.141 * [backup-simplify]: Simplify 1.0 into 1.0 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.142 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.143 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.143 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.143 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [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 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.161 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [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 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.174 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.174 * [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)))) 0.175 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.175 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.175 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.175 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (- 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.176 * [backup-simplify]: Simplify (log -1) into (log -1) 0.176 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.176 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.176 * [taylor]: Taking taylor expansion of -1 in N 0.176 * [backup-simplify]: Simplify -1 into -1 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ -1 1) into -1 0.176 * [backup-simplify]: Simplify (log -1) into (log -1) 0.176 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (- 1) into -1 0.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.177 * [backup-simplify]: Simplify (log -1) into (log -1) 0.177 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.177 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.177 * [taylor]: Taking taylor expansion of -1 in N 0.177 * [backup-simplify]: Simplify -1 into -1 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ -1 1) into -1 0.178 * [backup-simplify]: Simplify (log -1) into (log -1) 0.178 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.179 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.179 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.180 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.186 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [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 0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.195 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [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 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [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 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.208 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.209 * [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)))) 0.209 * * * [progress]: simplifying candidates 0.210 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 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)))) 0.211 * [simplify]: Sending expressions to egg_math: (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (expm1 (- (log (+ h0 h1)) (log h0))) (log1p (- (log (+ h0 h1)) (log h0))) (- (log h0)) (- (log h0)) (- (log h0)) (- (log h0)) (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) 0.215 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.219 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.235 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.330 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.332 * * * [progress]: adding candidates to table 0.457 * * [progress]: iteration 2 / 4 0.457 * * * [progress]: picking best candidate 0.460 * * * * [pick]: Picked # 0.460 * * * [progress]: localizing error 0.464 * * * [progress]: generating rewritten candidates 0.464 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.470 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.489 * * * [progress]: generating series expansions 0.489 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.489 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.489 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.489 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.489 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.489 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [taylor]: Taking taylor expansion of 1.0 in N 0.489 * [backup-simplify]: Simplify 1.0 into 1.0 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.490 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.490 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.490 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.490 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.490 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [taylor]: Taking taylor expansion of 1.0 in N 0.491 * [backup-simplify]: Simplify 1.0 into 1.0 0.491 * [taylor]: Taking taylor expansion of N in N 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.491 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.491 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.492 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.492 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.493 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.502 * [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)) 0.502 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.503 * [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))) 0.504 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.504 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.504 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.504 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.504 * [taylor]: Taking taylor expansion of N in N 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.504 * [taylor]: Taking taylor expansion of N in N 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of 1.0 in N 0.504 * [backup-simplify]: Simplify 1.0 into 1.0 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.505 * [backup-simplify]: Simplify (* 0 1) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.506 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.506 * [backup-simplify]: Simplify (log 1) into 0 0.506 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.506 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.506 * [taylor]: Taking taylor expansion of N in N 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [taylor]: Taking taylor expansion of 1.0 in N 0.506 * [backup-simplify]: Simplify 1.0 into 1.0 0.507 * [backup-simplify]: Simplify (+ 1 0) into 1 0.507 * [backup-simplify]: Simplify (* 0 1) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.508 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.508 * [backup-simplify]: Simplify (log 1) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.514 * [backup-simplify]: Simplify 1.0 into 1.0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.521 * [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 0.521 * [backup-simplify]: Simplify -0.5 into -0.5 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.535 * [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 0.535 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.536 * [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)))) 0.536 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.536 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.536 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.536 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.536 * [taylor]: Taking taylor expansion of -1 in N 0.536 * [backup-simplify]: Simplify -1 into -1 0.536 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.536 * [taylor]: Taking taylor expansion of 1.0 in N 0.536 * [backup-simplify]: Simplify 1.0 into 1.0 0.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [backup-simplify]: Simplify (- 1) into -1 0.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.537 * [backup-simplify]: Simplify (* 0 -1) into 0 0.537 * [backup-simplify]: Simplify (* -1 0) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.538 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.539 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.539 * [backup-simplify]: Simplify (log 1) into 0 0.539 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.539 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.539 * [taylor]: Taking taylor expansion of -1 in N 0.539 * [backup-simplify]: Simplify -1 into -1 0.539 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.539 * [taylor]: Taking taylor expansion of 1.0 in N 0.539 * [backup-simplify]: Simplify 1.0 into 1.0 0.539 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [backup-simplify]: Simplify (- 1) into -1 0.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.540 * [backup-simplify]: Simplify (* 0 -1) into 0 0.540 * [backup-simplify]: Simplify (* -1 0) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.542 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.542 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.542 * [backup-simplify]: Simplify (log 1) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.546 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.550 * [backup-simplify]: Simplify -1.0 into -1.0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.558 * [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 0.558 * [backup-simplify]: Simplify -0.5 into -0.5 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.570 * [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 0.571 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.571 * [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)))) 0.571 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.571 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.571 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.571 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.571 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.571 * [taylor]: Taking taylor expansion of N in N 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of 1.0 in N 0.571 * [backup-simplify]: Simplify 1.0 into 1.0 0.571 * [taylor]: Taking taylor expansion of N in N 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.572 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.572 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.572 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.572 * [taylor]: Taking taylor expansion of N in N 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of 1.0 in N 0.572 * [backup-simplify]: Simplify 1.0 into 1.0 0.572 * [taylor]: Taking taylor expansion of N in N 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.572 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.573 * [backup-simplify]: Simplify 1.0 into 1.0 0.573 * [backup-simplify]: Simplify (+ 1 0) into 1 0.573 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.573 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [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 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [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 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.579 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.579 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.579 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [taylor]: Taking taylor expansion of 1.0 in N 0.579 * [backup-simplify]: Simplify 1.0 into 1.0 0.579 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.579 * [taylor]: Taking taylor expansion of N in N 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [taylor]: Taking taylor expansion of 1.0 in N 0.580 * [backup-simplify]: Simplify 1.0 into 1.0 0.580 * [backup-simplify]: Simplify (+ 1 0) into 1 0.580 * [backup-simplify]: Simplify (* 0 1) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.581 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.581 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.584 * [backup-simplify]: Simplify 1.0 into 1.0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [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 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [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 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.594 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.594 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.594 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.594 * [taylor]: Taking taylor expansion of -1 in N 0.594 * [backup-simplify]: Simplify -1 into -1 0.594 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.594 * [taylor]: Taking taylor expansion of 1.0 in N 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.594 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.594 * [taylor]: Taking taylor expansion of -1 in N 0.594 * [backup-simplify]: Simplify -1 into -1 0.594 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.594 * [taylor]: Taking taylor expansion of 1.0 in N 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [backup-simplify]: Simplify (- 1) into -1 0.595 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.595 * [backup-simplify]: Simplify (* 0 -1) into 0 0.595 * [backup-simplify]: Simplify (* -1 0) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (- 0) into 0 0.596 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.597 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.597 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.597 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- 0) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.601 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.601 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.605 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.614 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [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 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.617 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [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 0.618 * [backup-simplify]: Simplify (- 0) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.620 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.620 * * * [progress]: simplifying candidates 0.621 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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) 0.622 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (+ h0 h1) h0))) (log1p (log (/ (+ h0 h1) h0))) (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (expm1 (/ (+ h0 h1) h0)) (log1p (/ (+ h0 h1) h0)) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.626 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.630 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.644 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.722 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.724 * * * [progress]: adding candidates to table 0.834 * * [progress]: iteration 3 / 4 0.834 * * * [progress]: picking best candidate 0.838 * * * * [pick]: Picked # 0.839 * * * [progress]: localizing error 0.848 * * * [progress]: generating rewritten candidates 0.848 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.856 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.864 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.865 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 0.875 * * * [progress]: generating series expansions 0.875 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.875 * [backup-simplify]: Simplify (log (/ (cbrt (+ N 1.0)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 0.875 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 0.875 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.875 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.875 * [taylor]: Taking taylor expansion of 1/3 in N 0.875 * [backup-simplify]: Simplify 1/3 into 1/3 0.875 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.875 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.875 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [taylor]: Taking taylor expansion of 1.0 in N 0.875 * [backup-simplify]: Simplify 1.0 into 1.0 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.876 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.877 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.877 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.877 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 0.878 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 0.878 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 0.878 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 0.878 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 0.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 0.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 0.878 * [taylor]: Taking taylor expansion of 1/3 in N 0.878 * [backup-simplify]: Simplify 1/3 into 1/3 0.878 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.878 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.878 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.878 * [taylor]: Taking taylor expansion of N in N 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of 1.0 in N 0.878 * [backup-simplify]: Simplify 1.0 into 1.0 0.878 * [taylor]: Taking taylor expansion of N in N 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.879 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.879 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.880 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.880 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 0.880 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 0.881 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 0.881 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 0.882 * [backup-simplify]: Simplify (+ 1 0) into 1 0.882 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.885 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.886 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 0.888 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 0.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 0.889 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.894 * [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)) 0.895 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.896 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 0.902 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 0.905 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 0.906 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 0.907 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 0.907 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 0.907 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 0.907 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.907 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.907 * [taylor]: Taking taylor expansion of 1/3 in N 0.907 * [backup-simplify]: Simplify 1/3 into 1/3 0.907 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.907 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.907 * [taylor]: Taking taylor expansion of N in N 0.907 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.908 * [taylor]: Taking taylor expansion of N in N 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ 1 1) into 1 0.908 * [taylor]: Taking taylor expansion of 1.0 in N 0.908 * [backup-simplify]: Simplify 1.0 into 1.0 0.908 * [backup-simplify]: Simplify (+ 1 0) into 1 0.908 * [backup-simplify]: Simplify (* 0 1) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.909 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.910 * [backup-simplify]: Simplify (log 1) into 0 0.910 * [backup-simplify]: Simplify (* 1/3 0) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.916 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 0.916 * [backup-simplify]: Simplify (exp 0) into 1 0.916 * [backup-simplify]: Simplify (log 1) into 0 0.916 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 0.917 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 0.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 0.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 0.917 * [taylor]: Taking taylor expansion of 1/3 in N 0.917 * [backup-simplify]: Simplify 1/3 into 1/3 0.917 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.917 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.917 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (/ 1 1) into 1 0.917 * [taylor]: Taking taylor expansion of 1.0 in N 0.917 * [backup-simplify]: Simplify 1.0 into 1.0 0.917 * [backup-simplify]: Simplify (+ 1 0) into 1 0.917 * [backup-simplify]: Simplify (* 0 1) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.918 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.919 * [backup-simplify]: Simplify (log 1) into 0 0.919 * [backup-simplify]: Simplify (* 1/3 0) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.925 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 0.925 * [backup-simplify]: Simplify (exp 0) into 1 0.926 * [backup-simplify]: Simplify (log 1) into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 0.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 0.931 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.938 * [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 0.939 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 0.943 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 0.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 0.955 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.965 * [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 0.967 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 0.973 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 0.987 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 0.987 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 0.987 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 0.987 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N))))) into (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) 0.987 * [approximate]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 0.987 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.987 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.987 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.987 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.987 * [taylor]: Taking taylor expansion of -1 in N 0.987 * [backup-simplify]: Simplify -1 into -1 0.988 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.988 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.989 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 0.989 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.989 * [taylor]: Taking taylor expansion of 1/3 in N 0.989 * [backup-simplify]: Simplify 1/3 into 1/3 0.989 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.989 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.989 * [taylor]: Taking taylor expansion of 1.0 in N 0.989 * [backup-simplify]: Simplify 1.0 into 1.0 0.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (/ 1 1) into 1 0.990 * [backup-simplify]: Simplify (- 1) into -1 0.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.990 * [backup-simplify]: Simplify (* 0 -1) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (- 0) into 0 0.991 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.991 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.992 * [backup-simplify]: Simplify (log -1) into (log -1) 0.992 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 0.993 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 0.994 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 0.996 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 0.996 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 0.996 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 0.996 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.996 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.996 * [taylor]: Taking taylor expansion of -1 in N 0.996 * [backup-simplify]: Simplify -1 into -1 0.996 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 0.997 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 0.997 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 0.997 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 0.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 0.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 0.997 * [taylor]: Taking taylor expansion of 1/3 in N 0.997 * [backup-simplify]: Simplify 1/3 into 1/3 0.997 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 0.997 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.997 * [taylor]: Taking taylor expansion of N in N 0.997 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.998 * [taylor]: Taking taylor expansion of 1.0 in N 0.998 * [backup-simplify]: Simplify 1.0 into 1.0 0.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.998 * [taylor]: Taking taylor expansion of N in N 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ 1 1) into 1 0.998 * [backup-simplify]: Simplify (- 1) into -1 0.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.999 * [backup-simplify]: Simplify (* 0 -1) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (- 0) into 0 0.999 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.000 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.000 * [backup-simplify]: Simplify (log -1) into (log -1) 1.001 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 1.001 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 1.003 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 1.004 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 1.006 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.014 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 1.017 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 1.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 1.021 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3))) into (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 1.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 1) into -0.3333333333333333 1.033 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (- 0) into 0 1.037 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.044 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.045 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 1.051 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 1.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 1.056 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.1111111111111111 (pow -1 1/3))) (+ (* 0 (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 1.080 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 2)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 2) into -0.16666666666666666 1.080 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 1.082 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (pow -1 1/3) (/ 1 (cbrt -1)))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 1.082 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.082 * [backup-simplify]: Simplify (log (/ (cbrt (+ N 1.0)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 1.082 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.082 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.082 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.082 * [taylor]: Taking taylor expansion of 1/3 in N 1.082 * [backup-simplify]: Simplify 1/3 into 1/3 1.082 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.082 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.082 * [taylor]: Taking taylor expansion of N in N 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of 1.0 in N 1.082 * [backup-simplify]: Simplify 1.0 into 1.0 1.082 * [taylor]: Taking taylor expansion of N in N 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.083 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.083 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.083 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.084 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 1.084 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 1.084 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 1.084 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.084 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.085 * [taylor]: Taking taylor expansion of 1/3 in N 1.085 * [backup-simplify]: Simplify 1/3 into 1/3 1.085 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.085 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.085 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.085 * [taylor]: Taking taylor expansion of N in N 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of 1.0 in N 1.085 * [backup-simplify]: Simplify 1.0 into 1.0 1.085 * [taylor]: Taking taylor expansion of N in N 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.085 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.085 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.086 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.086 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 1.087 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 1.087 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 1.087 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 1.088 * [backup-simplify]: Simplify (+ 1 0) into 1 1.088 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.091 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.092 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 1.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 1.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 1.094 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.101 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.102 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 1.108 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 1.111 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 1.112 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 1.113 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 1.113 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 1.113 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.113 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.113 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.113 * [taylor]: Taking taylor expansion of 1/3 in N 1.113 * [backup-simplify]: Simplify 1/3 into 1/3 1.113 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.113 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.114 * [backup-simplify]: Simplify (/ 1 1) into 1 1.114 * [taylor]: Taking taylor expansion of 1.0 in N 1.114 * [backup-simplify]: Simplify 1.0 into 1.0 1.114 * [backup-simplify]: Simplify (+ 1 0) into 1 1.114 * [backup-simplify]: Simplify (* 0 1) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.115 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.115 * [backup-simplify]: Simplify (log 1) into 0 1.116 * [backup-simplify]: Simplify (* 1/3 0) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.126 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 1.126 * [backup-simplify]: Simplify (exp 0) into 1 1.126 * [backup-simplify]: Simplify (log 1) into 0 1.126 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.126 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.126 * [taylor]: Taking taylor expansion of 1/3 in N 1.126 * [backup-simplify]: Simplify 1/3 into 1/3 1.126 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.126 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.126 * [taylor]: Taking taylor expansion of N in N 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.126 * [taylor]: Taking taylor expansion of N in N 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (/ 1 1) into 1 1.126 * [taylor]: Taking taylor expansion of 1.0 in N 1.126 * [backup-simplify]: Simplify 1.0 into 1.0 1.127 * [backup-simplify]: Simplify (+ 1 0) into 1 1.127 * [backup-simplify]: Simplify (* 0 1) into 0 1.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.128 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.128 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.128 * [backup-simplify]: Simplify (log 1) into 0 1.129 * [backup-simplify]: Simplify (* 1/3 0) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.135 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 1.135 * [backup-simplify]: Simplify (exp 0) into 1 1.135 * [backup-simplify]: Simplify (log 1) into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 1.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 1.140 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.141 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.148 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 1.152 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 1.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 1.160 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 1.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.170 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.171 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 1.178 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 1.192 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 1.192 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 1.192 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 1.192 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N))))) into (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) 1.192 * [approximate]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.192 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.192 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.192 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.192 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.192 * [taylor]: Taking taylor expansion of -1 in N 1.192 * [backup-simplify]: Simplify -1 into -1 1.193 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.193 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.194 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.194 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.194 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.194 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.194 * [taylor]: Taking taylor expansion of 1/3 in N 1.194 * [backup-simplify]: Simplify 1/3 into 1/3 1.194 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.194 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.194 * [taylor]: Taking taylor expansion of N in N 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.194 * [taylor]: Taking taylor expansion of 1.0 in N 1.194 * [backup-simplify]: Simplify 1.0 into 1.0 1.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.194 * [taylor]: Taking taylor expansion of N in N 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (/ 1 1) into 1 1.194 * [backup-simplify]: Simplify (- 1) into -1 1.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.195 * [backup-simplify]: Simplify (* 0 -1) into 0 1.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.195 * [backup-simplify]: Simplify (- 0) into 0 1.196 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.196 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.196 * [backup-simplify]: Simplify (log -1) into (log -1) 1.197 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 1.198 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 1.202 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 1.204 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 1.204 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.204 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.204 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.204 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.204 * [taylor]: Taking taylor expansion of -1 in N 1.204 * [backup-simplify]: Simplify -1 into -1 1.204 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.205 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.205 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.205 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.205 * [taylor]: Taking taylor expansion of 1/3 in N 1.205 * [backup-simplify]: Simplify 1/3 into 1/3 1.205 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.205 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.205 * [taylor]: Taking taylor expansion of N in N 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.205 * [taylor]: Taking taylor expansion of 1.0 in N 1.205 * [backup-simplify]: Simplify 1.0 into 1.0 1.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.205 * [taylor]: Taking taylor expansion of N in N 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.206 * [backup-simplify]: Simplify (/ 1 1) into 1 1.206 * [backup-simplify]: Simplify (- 1) into -1 1.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.206 * [backup-simplify]: Simplify (* 0 -1) into 0 1.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.207 * [backup-simplify]: Simplify (- 0) into 0 1.207 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.208 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.208 * [backup-simplify]: Simplify (log -1) into (log -1) 1.208 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 1.209 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 1.210 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 1.212 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 1.214 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 1.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.221 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 1.225 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 1.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 1.229 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3))) into (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 1.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 1) into -0.3333333333333333 1.241 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (- 0) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.249 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 1.255 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 1.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 1.260 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.1111111111111111 (pow -1 1/3))) (+ (* 0 (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 1.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 2)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 2) into -0.16666666666666666 1.287 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 1.289 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (pow -1 1/3) (/ 1 (cbrt -1)))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 1.289 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.289 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 1.289 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.289 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.289 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.289 * [taylor]: Taking taylor expansion of 1/3 in N 1.289 * [backup-simplify]: Simplify 1/3 into 1/3 1.289 * [taylor]: Taking taylor expansion of (log N) in N 1.289 * [taylor]: Taking taylor expansion of N in N 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [backup-simplify]: Simplify (log 1) into 0 1.289 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.290 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.290 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.290 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.290 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.290 * [taylor]: Taking taylor expansion of 1/3 in N 1.290 * [backup-simplify]: Simplify 1/3 into 1/3 1.290 * [taylor]: Taking taylor expansion of (log N) in N 1.290 * [taylor]: Taking taylor expansion of N in N 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [backup-simplify]: Simplify (log 1) into 0 1.290 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.290 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.290 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.290 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.291 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.292 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.292 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.294 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.294 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.295 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.297 * [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 1.298 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.298 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.299 * [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 1.299 * [backup-simplify]: Simplify 0 into 0 1.304 * [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 1.305 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.306 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.307 * [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 1.307 * [backup-simplify]: Simplify 0 into 0 1.315 * [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 1.316 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.319 * [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 1.319 * [backup-simplify]: Simplify 0 into 0 1.333 * [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 1.334 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.338 * [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 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.338 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 1.338 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.338 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.338 * [taylor]: Taking taylor expansion of 1/3 in N 1.338 * [backup-simplify]: Simplify 1/3 into 1/3 1.338 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.338 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.338 * [taylor]: Taking taylor expansion of N in N 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (/ 1 1) into 1 1.339 * [backup-simplify]: Simplify (log 1) into 0 1.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.339 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.339 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.339 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.339 * [taylor]: Taking taylor expansion of 1/3 in N 1.339 * [backup-simplify]: Simplify 1/3 into 1/3 1.339 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.339 * [taylor]: Taking taylor expansion of N in N 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (/ 1 1) into 1 1.340 * [backup-simplify]: Simplify (log 1) into 0 1.340 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.340 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.340 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.340 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.342 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.342 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.345 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.346 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.349 * [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 1.349 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.350 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.350 * [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 1.350 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [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 1.356 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.357 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.362 * [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 1.362 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.370 * [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 1.371 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.374 * [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 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.389 * [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 1.389 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.393 * [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 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.393 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.393 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.393 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.393 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.393 * [taylor]: Taking taylor expansion of -1 in N 1.393 * [backup-simplify]: Simplify -1 into -1 1.394 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.394 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.394 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.394 * [taylor]: Taking taylor expansion of 1/3 in N 1.394 * [backup-simplify]: Simplify 1/3 into 1/3 1.394 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.394 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [backup-simplify]: Simplify (log 1) into 0 1.395 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.395 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.395 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.395 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.395 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.395 * [taylor]: Taking taylor expansion of -1 in N 1.395 * [backup-simplify]: Simplify -1 into -1 1.395 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.396 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.396 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.396 * [taylor]: Taking taylor expansion of 1/3 in N 1.396 * [backup-simplify]: Simplify 1/3 into 1/3 1.396 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.396 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.396 * [taylor]: Taking taylor expansion of N in N 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [backup-simplify]: Simplify (log 1) into 0 1.397 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.397 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.397 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.397 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.398 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.399 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.400 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.400 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.402 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.403 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.403 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.405 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.408 * [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 1.408 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.409 * [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 1.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.411 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.417 * [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 1.417 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.418 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.419 * [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 1.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.421 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.429 * [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 1.430 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.433 * [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 1.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.435 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [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 1.453 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.457 * [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 1.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.460 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 1.460 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 1.460 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 1.460 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.460 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.460 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.460 * [taylor]: Taking taylor expansion of 1/3 in N 1.460 * [backup-simplify]: Simplify 1/3 into 1/3 1.460 * [taylor]: Taking taylor expansion of (log N) in N 1.460 * [taylor]: Taking taylor expansion of N in N 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (log 1) into 0 1.461 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.461 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.461 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.461 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.461 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.461 * [taylor]: Taking taylor expansion of 1/3 in N 1.461 * [backup-simplify]: Simplify 1/3 into 1/3 1.461 * [taylor]: Taking taylor expansion of (log N) in N 1.461 * [taylor]: Taking taylor expansion of N in N 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (log 1) into 0 1.462 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.462 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.462 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.462 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.463 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.464 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.464 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.465 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.467 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.469 * [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 1.469 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.470 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.471 * [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 1.471 * [backup-simplify]: Simplify 0 into 0 1.476 * [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 1.476 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.478 * [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 1.478 * [backup-simplify]: Simplify 0 into 0 1.486 * [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 1.486 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.489 * [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 1.489 * [backup-simplify]: Simplify 0 into 0 1.505 * [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 1.505 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.509 * [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 1.509 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.510 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 1.510 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.510 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.510 * [taylor]: Taking taylor expansion of 1/3 in N 1.510 * [backup-simplify]: Simplify 1/3 into 1/3 1.510 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.510 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.510 * [taylor]: Taking taylor expansion of N in N 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (/ 1 1) into 1 1.510 * [backup-simplify]: Simplify (log 1) into 0 1.511 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.511 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.511 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.511 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.511 * [taylor]: Taking taylor expansion of 1/3 in N 1.511 * [backup-simplify]: Simplify 1/3 into 1/3 1.511 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.511 * [taylor]: Taking taylor expansion of N in N 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.511 * [backup-simplify]: Simplify (log 1) into 0 1.512 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.512 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.512 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.512 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.516 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.517 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.519 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.519 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.520 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.521 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [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 1.524 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.525 * [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 1.525 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [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 1.531 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.532 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.533 * [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 1.533 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.541 * [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 1.542 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.543 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.545 * [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 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.559 * [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 1.560 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.563 * [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 1.563 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.564 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.564 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.564 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.564 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.564 * [taylor]: Taking taylor expansion of -1 in N 1.564 * [backup-simplify]: Simplify -1 into -1 1.564 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.565 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.565 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.565 * [taylor]: Taking taylor expansion of 1/3 in N 1.565 * [backup-simplify]: Simplify 1/3 into 1/3 1.565 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.565 * [taylor]: Taking taylor expansion of N in N 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (/ 1 1) into 1 1.565 * [backup-simplify]: Simplify (log 1) into 0 1.565 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.566 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.566 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.566 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.566 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.566 * [taylor]: Taking taylor expansion of -1 in N 1.566 * [backup-simplify]: Simplify -1 into -1 1.566 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.566 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.566 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.566 * [taylor]: Taking taylor expansion of 1/3 in N 1.566 * [backup-simplify]: Simplify 1/3 into 1/3 1.566 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.566 * [taylor]: Taking taylor expansion of N in N 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ 1 1) into 1 1.567 * [backup-simplify]: Simplify (log 1) into 0 1.567 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.567 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.567 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.568 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.568 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.569 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.570 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.570 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.573 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.573 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.574 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.575 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [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 1.578 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.579 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.580 * [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 1.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.581 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [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 1.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.589 * [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 1.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.594 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.602 * [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 1.603 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.604 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.606 * [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 1.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.608 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [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 1.623 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.627 * [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 1.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.629 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 1.630 * * * [progress]: simplifying candidates 1.632 * [simplify]: Simplifying: (expm1 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log1p (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (* (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) 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(+ (* h2 h0) (* 1/3 (log h1))) (+ (* 1/6 (/ (pow h0 2) (pow h1 2))) (* 1/3 (log h0)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h2 (/ 1 h0))) (* h4 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 h0)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* h4 (/ 1 (pow h0 2)))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 1.639 * * [simplify]: iteration 0 : 347 enodes (cost 1510 ) 1.644 * * [simplify]: iteration 1 : 1027 enodes (cost 1458 ) 1.663 * * [simplify]: iteration 2 : 5002 enodes (cost 1418 ) 1.669 * * * [progress]: adding candidates to table 2.126 * * [progress]: iteration 4 / 4 2.126 * * * [progress]: picking best candidate 2.130 * * * * [pick]: Picked # 2.131 * * * [progress]: localizing error 2.151 * * * [progress]: generating rewritten candidates 2.151 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.163 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.175 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.183 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 2.202 * * * [progress]: generating series expansions 2.202 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.202 * [backup-simplify]: Simplify (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) into (log (pow (/ (+ N 1.0) N) 1/6)) 2.202 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in (N) around 0 2.202 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 2.202 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 2.202 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 2.202 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 2.202 * [taylor]: Taking taylor expansion of 1/6 in N 2.202 * [backup-simplify]: Simplify 1/6 into 1/6 2.202 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.202 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.202 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.202 * [taylor]: Taking taylor expansion of N in N 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [taylor]: Taking taylor expansion of 1.0 in N 2.202 * [backup-simplify]: Simplify 1.0 into 1.0 2.202 * [taylor]: Taking taylor expansion of N in N 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.207 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.208 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.208 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.209 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.209 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 1.0) (log N)))) into (exp (* 1/6 (- (log 1.0) (log N)))) 2.209 * [backup-simplify]: Simplify (log (exp (* 1/6 (- (log 1.0) (log N))))) into (* 1/6 (- (log 1.0) (log N))) 2.210 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 2.210 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 2.210 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 2.210 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 2.210 * [taylor]: Taking taylor expansion of 1/6 in N 2.210 * [backup-simplify]: Simplify 1/6 into 1/6 2.210 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.210 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.210 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.210 * [taylor]: Taking taylor expansion of N in N 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [taylor]: Taking taylor expansion of 1.0 in N 2.210 * [backup-simplify]: Simplify 1.0 into 1.0 2.210 * [taylor]: Taking taylor expansion of N in N 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.210 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.211 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.211 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.212 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 1.0) (log N)))) into (exp (* 1/6 (- (log 1.0) (log N)))) 2.212 * [backup-simplify]: Simplify (log (exp (* 1/6 (- (log 1.0) (log N))))) into (* 1/6 (- (log 1.0) (log N))) 2.212 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.213 * [backup-simplify]: Simplify (+ 1 0) into 1 2.213 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.216 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.217 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log 1.0) (log N)))) into 0.16666666666666666 2.219 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N))))) 2.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 1)))) 1) into 0.16666666666666666 2.220 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.225 * [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)) 2.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.228 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 2.234 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/6 (- (log 1.0) (log N)))) (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2))))) 2.237 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/6 (- (log 1.0) (log N)))) (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/12 (pow 1.0 2)) 2.237 * [backup-simplify]: Simplify (/ -1/12 (pow 1.0 2)) into (/ -1/12 (pow 1.0 2)) 2.239 * [backup-simplify]: Simplify (+ (* (/ -1/12 (pow 1.0 2)) (pow N 2)) (+ (* 0.16666666666666666 N) (* 1/6 (- (log 1.0) (log N))))) into (- (+ (* 0.16666666666666666 N) (* 1/6 (log 1.0))) (+ (* 1/12 (/ (pow N 2) (pow 1.0 2))) (* 1/6 (log N)))) 2.239 * [backup-simplify]: Simplify (log (/ (sqrt (cbrt (+ (/ 1 N) 1.0))) (cbrt (sqrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) 2.239 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in (N) around 0 2.239 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 2.239 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 2.239 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 2.239 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 2.239 * [taylor]: Taking taylor expansion of 1/6 in N 2.239 * [backup-simplify]: Simplify 1/6 into 1/6 2.239 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.239 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.239 * [taylor]: Taking taylor expansion of N in N 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.239 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.239 * [taylor]: Taking taylor expansion of N in N 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.239 * [backup-simplify]: Simplify (/ 1 1) into 1 2.239 * [taylor]: Taking taylor expansion of 1.0 in N 2.239 * [backup-simplify]: Simplify 1.0 into 1.0 2.240 * [backup-simplify]: Simplify (+ 1 0) into 1 2.240 * [backup-simplify]: Simplify (* 0 1) into 0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.241 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.241 * [backup-simplify]: Simplify (log 1) into 0 2.241 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.248 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 0)) into 0.16666666666666666 2.248 * [backup-simplify]: Simplify (exp 0) into 1 2.248 * [backup-simplify]: Simplify (log 1) into 0 2.248 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 2.248 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 2.248 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 2.248 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 2.248 * [taylor]: Taking taylor expansion of 1/6 in N 2.248 * [backup-simplify]: Simplify 1/6 into 1/6 2.248 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.248 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.248 * [taylor]: Taking taylor expansion of N in N 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.248 * [taylor]: Taking taylor expansion of N in N 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (/ 1 1) into 1 2.248 * [taylor]: Taking taylor expansion of 1.0 in N 2.248 * [backup-simplify]: Simplify 1.0 into 1.0 2.249 * [backup-simplify]: Simplify (+ 1 0) into 1 2.249 * [backup-simplify]: Simplify (* 0 1) into 0 2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.250 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.250 * [backup-simplify]: Simplify (log 1) into 0 2.250 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.257 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 0)) into 0.16666666666666666 2.257 * [backup-simplify]: Simplify (exp 0) into 1 2.257 * [backup-simplify]: Simplify (log 1) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into 0.16666666666666666 2.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.16666666666666666) 1)) (pow 1 1)))) 1) into 0.16666666666666666 2.262 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (+ 0 0) into 0 2.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.269 * [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 2.270 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.08333333333333333) 2.274 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into -0.06944444444444445 2.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.16666666666666666) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.06944444444444445) 1)) (pow 1 1)))) 2) into -0.08333333333333334 2.281 * [backup-simplify]: Simplify -0.08333333333333334 into -0.08333333333333334 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (+ 0 0) into 0 2.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.294 * [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 2.296 * [backup-simplify]: Simplify (+ (* 1/6 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.05555555555555555 2.302 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 3) 6)) (* (/ (pow 0.16666666666666666 1) 1) (/ (pow (- 0.08333333333333333) 1) 1)) (* (/ (pow 0.05555555555555555 1) 1)))) into 0.042438271604938266 2.315 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.16666666666666666) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.16666666666666666) 1) (pow (* 2 -0.06944444444444445) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.042438271604938266) 1)) (pow 1 1)))) 6) into 0.05555555555555555 2.315 * [backup-simplify]: Simplify 0.05555555555555555 into 0.05555555555555555 2.315 * [backup-simplify]: Simplify (+ (* 0.05555555555555555 (pow (/ 1 N) 3)) (+ (* -0.08333333333333334 (pow (/ 1 N) 2)) (* 0.16666666666666666 (/ 1 N)))) into (- (+ (* 0.05555555555555555 (/ 1 (pow N 3))) (* 0.16666666666666666 (/ 1 N))) (* 0.08333333333333334 (/ 1 (pow N 2)))) 2.316 * [backup-simplify]: Simplify (log (/ (sqrt (cbrt (+ (/ 1 (- N)) 1.0))) (cbrt (sqrt (/ 1 (- N)))))) into (log (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) 2.316 * [approximate]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) in (N) around 0 2.316 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) in N 2.316 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 2.316 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.316 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.316 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.316 * [taylor]: Taking taylor expansion of 1/6 in N 2.316 * [backup-simplify]: Simplify 1/6 into 1/6 2.316 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.316 * [taylor]: Taking taylor expansion of 1.0 in N 2.316 * [backup-simplify]: Simplify 1.0 into 1.0 2.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.316 * [taylor]: Taking taylor expansion of N in N 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (/ 1 1) into 1 2.317 * [backup-simplify]: Simplify (- 1) into -1 2.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.317 * [backup-simplify]: Simplify (log -1) into (log -1) 2.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.318 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log N))) into (* 1/6 (- (log -1) (log N))) 2.318 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log N)))) into (exp (* 1/6 (- (log -1) (log N)))) 2.318 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.318 * [taylor]: Taking taylor expansion of 1/3 in N 2.318 * [backup-simplify]: Simplify 1/3 into 1/3 2.318 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.318 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.318 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.318 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.318 * [taylor]: Taking taylor expansion of -1 in N 2.318 * [backup-simplify]: Simplify -1 into -1 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 2.319 * [backup-simplify]: Simplify (/ -1 1) into -1 2.319 * [backup-simplify]: Simplify (sqrt 0) into 0 2.320 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.320 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.320 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.321 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 2.321 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 2.322 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) into (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 2.323 * [backup-simplify]: Simplify (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) into (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) 2.323 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) in N 2.323 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 2.323 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.323 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.323 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.323 * [taylor]: Taking taylor expansion of 1/6 in N 2.323 * [backup-simplify]: Simplify 1/6 into 1/6 2.323 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.323 * [taylor]: Taking taylor expansion of 1.0 in N 2.323 * [backup-simplify]: Simplify 1.0 into 1.0 2.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (/ 1 1) into 1 2.323 * [backup-simplify]: Simplify (- 1) into -1 2.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.324 * [backup-simplify]: Simplify (log -1) into (log -1) 2.324 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.325 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log N))) into (* 1/6 (- (log -1) (log N))) 2.325 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log N)))) into (exp (* 1/6 (- (log -1) (log N)))) 2.325 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.325 * [taylor]: Taking taylor expansion of 1/3 in N 2.325 * [backup-simplify]: Simplify 1/3 into 1/3 2.325 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.325 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.325 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.325 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.325 * [taylor]: Taking taylor expansion of -1 in N 2.325 * [backup-simplify]: Simplify -1 into -1 2.325 * [taylor]: Taking taylor expansion of N in N 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (/ -1 1) into -1 2.326 * [backup-simplify]: Simplify (sqrt 0) into 0 2.326 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.326 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.327 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.327 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 2.328 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 2.329 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) into (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 2.329 * [backup-simplify]: Simplify (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) into (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) 2.330 * [backup-simplify]: Simplify (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) into (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) 2.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.333 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.338 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 2.342 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (- 0) into 0 2.343 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.347 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.347 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.16666666666666666) 2.349 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log N))))) 2.351 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (log -1) (log N)))) (* +nan.0 (pow +nan.0 1/3))) (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log N))))) (pow +nan.0 1/3))) into (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)))) 2.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))))) 1)) (pow (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 1)))) 1) into +nan.0 2.352 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.357 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 2.366 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 2.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [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 2.382 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.382 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.08333333333333333) 2.386 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log N))))) 2.389 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (log -1) (log N)))) (* +nan.0 (pow +nan.0 1/3))) (+ (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log N))))) (* +nan.0 (pow +nan.0 1/3))) (* (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log N))))) (pow +nan.0 1/3)))) into (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)))) 2.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))))) 2)) (pow (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))))) 1)) (pow (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 1)))) 2) into +nan.0 2.391 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.392 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (* (exp (* 1/6 (- (log -1) (log (/ 1 (- N)))))) (pow +nan.0 1/3))))) into (- (log (* (pow +nan.0 1/3) (exp (* 1/6 (- (log -1) (log (/ -1 N))))))) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.392 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.393 * [backup-simplify]: Simplify (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) into (log (pow (/ (+ N 1.0) N) 1/6)) 2.393 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in (N) around 0 2.393 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 2.393 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 2.393 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 2.393 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 2.393 * [taylor]: Taking taylor expansion of 1/6 in N 2.393 * [backup-simplify]: Simplify 1/6 into 1/6 2.393 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.393 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.393 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.393 * [taylor]: Taking taylor expansion of N in N 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [taylor]: Taking taylor expansion of 1.0 in N 2.393 * [backup-simplify]: Simplify 1.0 into 1.0 2.393 * [taylor]: Taking taylor expansion of N in N 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.393 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.394 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.394 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.394 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.395 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 1.0) (log N)))) into (exp (* 1/6 (- (log 1.0) (log N)))) 2.395 * [backup-simplify]: Simplify (log (exp (* 1/6 (- (log 1.0) (log N))))) into (* 1/6 (- (log 1.0) (log N))) 2.395 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/6)) in N 2.395 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/6) in N 2.395 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ (+ N 1.0) N)))) in N 2.395 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ (+ N 1.0) N))) in N 2.395 * [taylor]: Taking taylor expansion of 1/6 in N 2.395 * [backup-simplify]: Simplify 1/6 into 1/6 2.395 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.395 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.395 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.395 * [taylor]: Taking taylor expansion of N in N 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [taylor]: Taking taylor expansion of 1.0 in N 2.395 * [backup-simplify]: Simplify 1.0 into 1.0 2.395 * [taylor]: Taking taylor expansion of N in N 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.396 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.396 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.397 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.397 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.397 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 1.0) (log N)))) into (exp (* 1/6 (- (log 1.0) (log N)))) 2.398 * [backup-simplify]: Simplify (log (exp (* 1/6 (- (log 1.0) (log N))))) into (* 1/6 (- (log 1.0) (log N))) 2.398 * [backup-simplify]: Simplify (* 1/6 (- (log 1.0) (log N))) into (* 1/6 (- (log 1.0) (log N))) 2.398 * [backup-simplify]: Simplify (+ 1 0) into 1 2.399 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.402 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.402 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log 1.0) (log N)))) into 0.16666666666666666 2.404 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N))))) 2.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 1)))) 1) into 0.16666666666666666 2.405 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.405 * [backup-simplify]: Simplify (+ 0 0) into 0 2.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.411 * [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)) 2.411 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.413 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 2.418 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/6 (- (log 1.0) (log N)))) (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2))))) 2.421 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.16666666666666666 (exp (* 1/6 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/6 (- (log 1.0) (log N)))) (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/6 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/12 (pow 1.0 2)) 2.422 * [backup-simplify]: Simplify (/ -1/12 (pow 1.0 2)) into (/ -1/12 (pow 1.0 2)) 2.423 * [backup-simplify]: Simplify (+ (* (/ -1/12 (pow 1.0 2)) (pow N 2)) (+ (* 0.16666666666666666 N) (* 1/6 (- (log 1.0) (log N))))) into (- (+ (* 0.16666666666666666 N) (* 1/6 (log 1.0))) (+ (* 1/12 (/ (pow N 2) (pow 1.0 2))) (* 1/6 (log N)))) 2.423 * [backup-simplify]: Simplify (log (/ (sqrt (cbrt (+ (/ 1 N) 1.0))) (cbrt (sqrt (/ 1 N))))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) 2.423 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in (N) around 0 2.423 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 2.423 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 2.423 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 2.423 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 2.423 * [taylor]: Taking taylor expansion of 1/6 in N 2.423 * [backup-simplify]: Simplify 1/6 into 1/6 2.423 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.423 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.423 * [taylor]: Taking taylor expansion of N in N 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.423 * [taylor]: Taking taylor expansion of N in N 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [taylor]: Taking taylor expansion of 1.0 in N 2.424 * [backup-simplify]: Simplify 1.0 into 1.0 2.424 * [backup-simplify]: Simplify (+ 1 0) into 1 2.424 * [backup-simplify]: Simplify (* 0 1) into 0 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.425 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.425 * [backup-simplify]: Simplify (log 1) into 0 2.426 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (+ 0 0) into 0 2.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.432 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 0)) into 0.16666666666666666 2.432 * [backup-simplify]: Simplify (exp 0) into 1 2.432 * [backup-simplify]: Simplify (log 1) into 0 2.432 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/6)) in N 2.432 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/6) in N 2.432 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (* N (+ (/ 1 N) 1.0))))) in N 2.432 * [taylor]: Taking taylor expansion of (* 1/6 (log (* N (+ (/ 1 N) 1.0)))) in N 2.432 * [taylor]: Taking taylor expansion of 1/6 in N 2.433 * [backup-simplify]: Simplify 1/6 into 1/6 2.433 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.433 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.433 * [taylor]: Taking taylor expansion of N in N 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.433 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.433 * [taylor]: Taking taylor expansion of N in N 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (/ 1 1) into 1 2.433 * [taylor]: Taking taylor expansion of 1.0 in N 2.433 * [backup-simplify]: Simplify 1.0 into 1.0 2.433 * [backup-simplify]: Simplify (+ 1 0) into 1 2.433 * [backup-simplify]: Simplify (* 0 1) into 0 2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.434 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.435 * [backup-simplify]: Simplify (log 1) into 0 2.435 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (+ 0 0) into 0 2.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.441 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 0)) into 0.16666666666666666 2.441 * [backup-simplify]: Simplify (exp 0) into 1 2.441 * [backup-simplify]: Simplify (log 1) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into 0.16666666666666666 2.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.16666666666666666) 1)) (pow 1 1)))) 1) into 0.16666666666666666 2.447 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.454 * [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 2.455 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.08333333333333333) 2.462 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into -0.06944444444444445 2.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.16666666666666666) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.06944444444444445) 1)) (pow 1 1)))) 2) into -0.08333333333333334 2.469 * [backup-simplify]: Simplify -0.08333333333333334 into -0.08333333333333334 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.479 * [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 2.481 * [backup-simplify]: Simplify (+ (* 1/6 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.05555555555555555 2.487 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.16666666666666666 3) 6)) (* (/ (pow 0.16666666666666666 1) 1) (/ (pow (- 0.08333333333333333) 1) 1)) (* (/ (pow 0.05555555555555555 1) 1)))) into 0.042438271604938266 2.500 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.16666666666666666) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.16666666666666666) 1) (pow (* 2 -0.06944444444444445) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.042438271604938266) 1)) (pow 1 1)))) 6) into 0.05555555555555555 2.500 * [backup-simplify]: Simplify 0.05555555555555555 into 0.05555555555555555 2.501 * [backup-simplify]: Simplify (+ (* 0.05555555555555555 (pow (/ 1 N) 3)) (+ (* -0.08333333333333334 (pow (/ 1 N) 2)) (* 0.16666666666666666 (/ 1 N)))) into (- (+ (* 0.05555555555555555 (/ 1 (pow N 3))) (* 0.16666666666666666 (/ 1 N))) (* 0.08333333333333334 (/ 1 (pow N 2)))) 2.501 * [backup-simplify]: Simplify (log (/ (sqrt (cbrt (+ (/ 1 (- N)) 1.0))) (cbrt (sqrt (/ 1 (- N)))))) into (log (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) 2.501 * [approximate]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) in (N) around 0 2.501 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) in N 2.501 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 2.501 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.501 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.501 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.501 * [taylor]: Taking taylor expansion of 1/6 in N 2.501 * [backup-simplify]: Simplify 1/6 into 1/6 2.501 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.501 * [taylor]: Taking taylor expansion of 1.0 in N 2.501 * [backup-simplify]: Simplify 1.0 into 1.0 2.501 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.501 * [taylor]: Taking taylor expansion of N in N 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (/ 1 1) into 1 2.502 * [backup-simplify]: Simplify (- 1) into -1 2.502 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.502 * [backup-simplify]: Simplify (log -1) into (log -1) 2.503 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.503 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log N))) into (* 1/6 (- (log -1) (log N))) 2.503 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log N)))) into (exp (* 1/6 (- (log -1) (log N)))) 2.503 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.503 * [taylor]: Taking taylor expansion of 1/3 in N 2.503 * [backup-simplify]: Simplify 1/3 into 1/3 2.503 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.503 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.503 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.503 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.503 * [taylor]: Taking taylor expansion of -1 in N 2.503 * [backup-simplify]: Simplify -1 into -1 2.503 * [taylor]: Taking taylor expansion of N in N 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (/ -1 1) into -1 2.504 * [backup-simplify]: Simplify (sqrt 0) into 0 2.505 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.505 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.505 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.506 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 2.507 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 2.508 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) into (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 2.508 * [backup-simplify]: Simplify (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) into (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) 2.508 * [taylor]: Taking taylor expansion of (log (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3))) in N 2.508 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 N)) 1/6) (pow (/ 1 (sqrt (/ -1 N))) 1/3)) in N 2.508 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/6) in N 2.508 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 N))))) in N 2.508 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 N)))) in N 2.508 * [taylor]: Taking taylor expansion of 1/6 in N 2.508 * [backup-simplify]: Simplify 1/6 into 1/6 2.508 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.508 * [taylor]: Taking taylor expansion of 1.0 in N 2.508 * [backup-simplify]: Simplify 1.0 into 1.0 2.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.509 * [taylor]: Taking taylor expansion of N in N 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ 1 1) into 1 2.509 * [backup-simplify]: Simplify (- 1) into -1 2.509 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.509 * [backup-simplify]: Simplify (log -1) into (log -1) 2.510 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.510 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log N))) into (* 1/6 (- (log -1) (log N))) 2.511 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log N)))) into (exp (* 1/6 (- (log -1) (log N)))) 2.511 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 N))) 1/3) in N 2.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt (/ -1 N)))))) in N 2.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt (/ -1 N))))) in N 2.511 * [taylor]: Taking taylor expansion of 1/3 in N 2.511 * [backup-simplify]: Simplify 1/3 into 1/3 2.511 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 2.511 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 2.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 2.511 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.511 * [taylor]: Taking taylor expansion of -1 in N 2.511 * [backup-simplify]: Simplify -1 into -1 2.511 * [taylor]: Taking taylor expansion of N in N 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (/ -1 1) into -1 2.511 * [backup-simplify]: Simplify (sqrt 0) into 0 2.512 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.512 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 2.512 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 2.513 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 2.514 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 2.514 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) into (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 2.515 * [backup-simplify]: Simplify (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) into (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) 2.516 * [backup-simplify]: Simplify (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) into (log (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))) 2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.518 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.519 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 2.524 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 2.527 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (- 0) into 0 2.528 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.532 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.533 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.16666666666666666) 2.534 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log N))))) 2.536 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (log -1) (log N)))) (* +nan.0 (pow +nan.0 1/3))) (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log N))))) (pow +nan.0 1/3))) into (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)))) 2.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))))) 1)) (pow (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 1)))) 1) into +nan.0 2.537 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.546 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.554 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 2.555 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 2.560 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify (- 0) into 0 2.561 * [backup-simplify]: Simplify (+ 0 0) into 0 2.567 * [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 2.567 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.568 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.08333333333333333) 2.572 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log N))))) 2.574 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (log -1) (log N)))) (* +nan.0 (pow +nan.0 1/3))) (+ (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log N))))) (* +nan.0 (pow +nan.0 1/3))) (* (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log N))))) (pow +nan.0 1/3)))) into (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)))) 2.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))))) 2)) (pow (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3))))) 1)) (pow (* (exp (* 1/6 (- (log -1) (log N)))) (pow +nan.0 1/3)) 1)))) 2) into +nan.0 2.577 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.578 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (* (exp (* 1/6 (- (log -1) (log (/ 1 (- N)))))) (pow +nan.0 1/3))))) into (- (log (* (pow +nan.0 1/3) (exp (* 1/6 (- (log -1) (log (/ -1 N))))))) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 2.578 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.578 * [backup-simplify]: Simplify (log (/ (cbrt (+ N 1.0)) (cbrt N))) into (log (pow (/ (+ N 1.0) N) 1/3)) 2.578 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 2.578 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.578 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.578 * [taylor]: Taking taylor expansion of 1/3 in N 2.578 * [backup-simplify]: Simplify 1/3 into 1/3 2.578 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.578 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.578 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.578 * [taylor]: Taking taylor expansion of N in N 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [taylor]: Taking taylor expansion of 1.0 in N 2.578 * [backup-simplify]: Simplify 1.0 into 1.0 2.578 * [taylor]: Taking taylor expansion of N in N 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.579 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.579 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.580 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.580 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 2.580 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 2.581 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 2.581 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 2.581 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.581 * [taylor]: Taking taylor expansion of 1/3 in N 2.581 * [backup-simplify]: Simplify 1/3 into 1/3 2.581 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.581 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.581 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.581 * [taylor]: Taking taylor expansion of N in N 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [taylor]: Taking taylor expansion of 1.0 in N 2.581 * [backup-simplify]: Simplify 1.0 into 1.0 2.581 * [taylor]: Taking taylor expansion of N in N 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.581 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.582 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.582 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.582 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 2.583 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 2.583 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log 1.0) (log N))))) into (* 1/3 (- (log 1.0) (log N))) 2.583 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 2.584 * [backup-simplify]: Simplify (+ 1 0) into 1 2.584 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.588 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.588 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 2.590 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 2.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 1) into 0.3333333333333333 2.591 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.591 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.596 * [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)) 2.597 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.599 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 2.604 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 2.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) 1)) (pow (exp (* 1/3 (- (log 1.0) (log N)))) 1)))) 2) into (/ -1/6 (pow 1.0 2)) 2.608 * [backup-simplify]: Simplify (/ -1/6 (pow 1.0 2)) into (/ -1/6 (pow 1.0 2)) 2.609 * [backup-simplify]: Simplify (+ (* (/ -1/6 (pow 1.0 2)) (pow N 2)) (+ (* 0.3333333333333333 N) (* 1/3 (- (log 1.0) (log N))))) into (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) 2.609 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N)))) into (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) 2.609 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 2.609 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.609 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.610 * [taylor]: Taking taylor expansion of 1/3 in N 2.610 * [backup-simplify]: Simplify 1/3 into 1/3 2.610 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.610 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.610 * [taylor]: Taking taylor expansion of N in N 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.610 * [taylor]: Taking taylor expansion of N in N 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (/ 1 1) into 1 2.610 * [taylor]: Taking taylor expansion of 1.0 in N 2.610 * [backup-simplify]: Simplify 1.0 into 1.0 2.610 * [backup-simplify]: Simplify (+ 1 0) into 1 2.610 * [backup-simplify]: Simplify (* 0 1) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.611 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.612 * [backup-simplify]: Simplify (log 1) into 0 2.612 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.613 * [backup-simplify]: Simplify (+ 0 0) into 0 2.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.618 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 2.618 * [backup-simplify]: Simplify (exp 0) into 1 2.618 * [backup-simplify]: Simplify (log 1) into 0 2.618 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 2.618 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.618 * [taylor]: Taking taylor expansion of 1/3 in N 2.618 * [backup-simplify]: Simplify 1/3 into 1/3 2.618 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.619 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.619 * [taylor]: Taking taylor expansion of N in N 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.619 * [taylor]: Taking taylor expansion of N in N 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (/ 1 1) into 1 2.619 * [taylor]: Taking taylor expansion of 1.0 in N 2.619 * [backup-simplify]: Simplify 1.0 into 1.0 2.619 * [backup-simplify]: Simplify (+ 1 0) into 1 2.620 * [backup-simplify]: Simplify (* 0 1) into 0 2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.621 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.621 * [backup-simplify]: Simplify (log 1) into 0 2.621 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.633 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 2.633 * [backup-simplify]: Simplify (exp 0) into 1 2.633 * [backup-simplify]: Simplify (log 1) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 2.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.3333333333333333) 1)) (pow 1 1)))) 1) into 0.3333333333333333 2.638 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (+ 0 0) into 0 2.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.646 * [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 2.647 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 2.650 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 2.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.3333333333333333) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.1111111111111111) 1)) (pow 1 1)))) 2) into -0.16666666666666666 2.658 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (+ 0 0) into 0 2.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.668 * [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 2.669 * [backup-simplify]: Simplify (+ (* 1/3 0.3333333333333333) (+ (* 0 -0.5) (+ (* 0 1.0) (* 0 0)))) into 0.1111111111111111 2.676 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 3) 6)) (* (/ (pow 0.3333333333333333 1) 1) (/ (pow (- 0.16666666666666666) 1) 1)) (* (/ (pow 0.1111111111111111 1) 1)))) into 0.06172839506172839 2.689 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.3333333333333333) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.3333333333333333) 1) (pow (* 2 -0.1111111111111111) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.06172839506172839) 1)) (pow 1 1)))) 6) into 0.1111111111111111 2.689 * [backup-simplify]: Simplify 0.1111111111111111 into 0.1111111111111111 2.689 * [backup-simplify]: Simplify (+ (* 0.1111111111111111 (pow (/ 1 N) 3)) (+ (* -0.16666666666666666 (pow (/ 1 N) 2)) (* 0.3333333333333333 (/ 1 N)))) into (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 2.689 * [backup-simplify]: Simplify (log (/ (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N))))) into (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) 2.690 * [approximate]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 2.690 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.690 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.690 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.690 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.690 * [taylor]: Taking taylor expansion of -1 in N 2.690 * [backup-simplify]: Simplify -1 into -1 2.690 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.690 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.691 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 2.691 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.691 * [taylor]: Taking taylor expansion of 1/3 in N 2.691 * [backup-simplify]: Simplify 1/3 into 1/3 2.691 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.691 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.691 * [taylor]: Taking taylor expansion of N in N 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.691 * [taylor]: Taking taylor expansion of 1.0 in N 2.691 * [backup-simplify]: Simplify 1.0 into 1.0 2.691 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.691 * [taylor]: Taking taylor expansion of N in N 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [backup-simplify]: Simplify (- 1) into -1 2.692 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.692 * [backup-simplify]: Simplify (* 0 -1) into 0 2.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.693 * [backup-simplify]: Simplify (- 0) into 0 2.693 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.693 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.694 * [backup-simplify]: Simplify (log -1) into (log -1) 2.694 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.695 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.696 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 2.698 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 2.698 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 2.698 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.698 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 2.698 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.698 * [taylor]: Taking taylor expansion of -1 in N 2.698 * [backup-simplify]: Simplify -1 into -1 2.698 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.699 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.699 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 2.699 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.700 * [taylor]: Taking taylor expansion of 1/3 in N 2.700 * [backup-simplify]: Simplify 1/3 into 1/3 2.700 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.700 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.700 * [taylor]: Taking taylor expansion of N in N 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.700 * [taylor]: Taking taylor expansion of 1.0 in N 2.700 * [backup-simplify]: Simplify 1.0 into 1.0 2.700 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.700 * [taylor]: Taking taylor expansion of N in N 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (/ 1 1) into 1 2.700 * [backup-simplify]: Simplify (- 1) into -1 2.700 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.701 * [backup-simplify]: Simplify (* 0 -1) into 0 2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.701 * [backup-simplify]: Simplify (- 0) into 0 2.701 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.702 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.702 * [backup-simplify]: Simplify (log -1) into (log -1) 2.703 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 2.703 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 2.705 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) (pow -1 1/3)) into (* (pow -1 1/3) (/ 1 (cbrt -1))) 2.707 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 2.709 * [backup-simplify]: Simplify (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) into (log (* (pow -1 1/3) (/ 1 (cbrt -1)))) 2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.709 * [backup-simplify]: Simplify (- 0) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.722 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 2.725 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 2.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 2.728 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3))) into (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 2.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 1) into -0.3333333333333333 2.740 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (- 0) into 0 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.747 * [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 2.748 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 2.754 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 2.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 2.759 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (* -0.1111111111111111 (pow -1 1/3))) (+ (* 0 (* -0.3333333333333333 (pow -1 1/3))) (* 0 (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1))))) 2.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 0.3333333333333333 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 2)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.1111111111111111 (* (pow -1 1/3) (/ 1 (cbrt -1)))))) 1)) (pow (* (pow -1 1/3) (/ 1 (cbrt -1))) 1)))) 2) into -0.16666666666666666 2.782 * [backup-simplify]: Simplify -0.16666666666666666 into -0.16666666666666666 2.784 * [backup-simplify]: Simplify (+ (* -0.16666666666666666 (pow (/ 1 (- N)) 2)) (+ (* -0.3333333333333333 (/ 1 (- N))) (log (* (pow -1 1/3) (/ 1 (cbrt -1)))))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* 0.16666666666666666 (/ 1 (pow N 2)))) 2.784 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 2.784 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 2.784 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.784 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.784 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.784 * [taylor]: Taking taylor expansion of 1/3 in N 2.784 * [backup-simplify]: Simplify 1/3 into 1/3 2.784 * [taylor]: Taking taylor expansion of (log N) in N 2.784 * [taylor]: Taking taylor expansion of N in N 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (log 1) into 0 2.785 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.785 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.785 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.785 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.785 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.785 * [taylor]: Taking taylor expansion of 1/3 in N 2.785 * [backup-simplify]: Simplify 1/3 into 1/3 2.785 * [taylor]: Taking taylor expansion of (log N) in N 2.785 * [taylor]: Taking taylor expansion of N in N 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (log 1) into 0 2.785 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.786 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.786 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.786 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.787 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.787 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.789 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.790 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.799 * [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 2.799 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.800 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.801 * [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 2.801 * [backup-simplify]: Simplify 0 into 0 2.806 * [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 2.806 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.807 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 2.808 * [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 2.808 * [backup-simplify]: Simplify 0 into 0 2.816 * [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 2.817 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.818 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 2.820 * [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 2.820 * [backup-simplify]: Simplify 0 into 0 2.834 * [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 2.834 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.835 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 2.838 * [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 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.839 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 2.839 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.839 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.839 * [taylor]: Taking taylor expansion of 1/3 in N 2.839 * [backup-simplify]: Simplify 1/3 into 1/3 2.839 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.839 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.839 * [taylor]: Taking taylor expansion of N in N 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [backup-simplify]: Simplify (log 1) into 0 2.840 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.840 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.840 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.840 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.840 * [taylor]: Taking taylor expansion of 1/3 in N 2.840 * [backup-simplify]: Simplify 1/3 into 1/3 2.840 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.840 * [taylor]: Taking taylor expansion of N in N 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (/ 1 1) into 1 2.840 * [backup-simplify]: Simplify (log 1) into 0 2.841 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.841 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.841 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.841 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.842 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.843 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.845 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.846 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.846 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.849 * [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 2.850 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.852 * [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 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [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 2.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.858 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.859 * [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 2.859 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.868 * [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 2.868 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.869 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.878 * [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 2.878 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.893 * [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 2.893 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.894 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.897 * [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 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 2.897 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.897 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.897 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.897 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.898 * [taylor]: Taking taylor expansion of -1 in N 2.898 * [backup-simplify]: Simplify -1 into -1 2.898 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.898 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.898 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.898 * [taylor]: Taking taylor expansion of 1/3 in N 2.898 * [backup-simplify]: Simplify 1/3 into 1/3 2.898 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.898 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.898 * [taylor]: Taking taylor expansion of N in N 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (/ 1 1) into 1 2.899 * [backup-simplify]: Simplify (log 1) into 0 2.899 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.899 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.899 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.899 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.899 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.899 * [taylor]: Taking taylor expansion of -1 in N 2.899 * [backup-simplify]: Simplify -1 into -1 2.900 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.900 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.900 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.900 * [taylor]: Taking taylor expansion of 1/3 in N 2.900 * [backup-simplify]: Simplify 1/3 into 1/3 2.900 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.900 * [taylor]: Taking taylor expansion of N in N 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [backup-simplify]: Simplify (log 1) into 0 2.901 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.901 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.901 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.902 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.902 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.903 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.904 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.904 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.905 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.907 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.907 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.908 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.909 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.912 * [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 2.912 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.913 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.914 * [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 2.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.915 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [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 2.921 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.923 * [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 2.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.925 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [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 2.934 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.935 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.937 * [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 2.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.938 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.959 * [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 2.960 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.961 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.964 * [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 2.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.966 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 2.967 * * * [progress]: simplifying candidates 2.972 * [simplify]: Simplifying: (expm1 (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log1p (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (* (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))))) (log (cbrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log (sqrt (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N))))) (log 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(- (log -1) (log (/ -1 h0))))))) (+ (* h5 (/ 1 h0)) (- (* h5 (/ 1 (pow h0 2)))))) (- (+ (* h6 h0) (* 1/3 (log h1))) (+ (* 1/6 (/ (pow h0 2) (pow h1 2))) (* 1/3 (log h0)))) (- (+ (* h7 (/ 1 (pow h0 3))) (* h6 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h6 (/ 1 h0)) (log (* (pow -1 1/3) (/ 1 (cbrt -1))))) (* h2 (/ 1 (pow h0 2)))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 2.985 * * [simplify]: iteration 0 : 775 enodes (cost 4325 ) 2.994 * * [simplify]: iteration 1 : 2178 enodes (cost 4235 ) 3.025 * * [simplify]: iteration 2 : 5002 enodes (cost 4182 ) 3.040 * * * [progress]: adding candidates to table 4.082 * [progress]: [Phase 3 of 3] Extracting. 4.082 * * [regime]: Finding splitpoints for: (# # # #) 4.083 * * * [regime-changes]: Trying 1 branch expressions: (N) 4.083 * * * * [regimes]: Trying to branch on N from (# # # #) 4.109 * * * [regime]: Found split indices: #