18.775 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.052 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.082 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.083 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.083 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [backup-simplify]: Simplify 1.0 into 1.0 0.097 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.098 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.098 * [taylor]: Taking taylor expansion of (log N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (log 1) into 0 0.098 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.098 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.098 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [backup-simplify]: Simplify 1.0 into 1.0 0.099 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.099 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.099 * [taylor]: Taking taylor expansion of (log N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (log 1) into 0 0.100 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.100 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.100 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.101 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.106 * [backup-simplify]: Simplify 1.0 into 1.0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [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)) 0.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.120 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.123 * [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))) 0.123 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.123 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.123 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.124 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [backup-simplify]: Simplify (log 1) into 0 0.125 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.125 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (log 1) into 0 0.126 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [backup-simplify]: Simplify (log 1) into 0 0.127 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.127 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.127 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.127 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.135 * [backup-simplify]: Simplify 1.0 into 1.0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.146 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [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 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [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 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.161 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.162 * [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)))) 0.162 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.162 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.162 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.162 * [taylor]: Taking taylor expansion of 1.0 in N 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [backup-simplify]: Simplify (- 1) into -1 0.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.163 * [backup-simplify]: Simplify (log -1) into (log -1) 0.163 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.163 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.163 * [taylor]: Taking taylor expansion of -1 in N 0.163 * [backup-simplify]: Simplify -1 into -1 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ -1 1) into -1 0.164 * [backup-simplify]: Simplify (log -1) into (log -1) 0.164 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [backup-simplify]: Simplify 1.0 into 1.0 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (- 1) into -1 0.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.165 * [backup-simplify]: Simplify (log -1) into (log -1) 0.165 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.165 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.165 * [taylor]: Taking taylor expansion of -1 in N 0.165 * [backup-simplify]: Simplify -1 into -1 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ -1 1) into -1 0.165 * [backup-simplify]: Simplify (log -1) into (log -1) 0.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.167 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.167 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.167 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.174 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [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 0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.184 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.207 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.208 * [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)))) 0.208 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.208 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.208 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.208 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.209 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.209 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.209 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.210 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.213 * [backup-simplify]: Simplify 1.0 into 1.0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [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)) 0.221 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.222 * [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)))) 0.222 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.222 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.222 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of 1.0 in N 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.223 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [backup-simplify]: Simplify (log 1) into 0 0.223 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.223 * [taylor]: Taking taylor expansion of N in N 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of 1.0 in N 0.223 * [backup-simplify]: Simplify 1.0 into 1.0 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (log 1) into 0 0.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.224 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [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 0.237 * [backup-simplify]: Simplify -0.5 into -0.5 0.237 * [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)))) 0.237 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.237 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.237 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [backup-simplify]: Simplify 1.0 into 1.0 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (- 1) into -1 0.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.238 * [backup-simplify]: Simplify (log -1) into (log -1) 0.238 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.239 * [taylor]: Taking taylor expansion of 1.0 in N 0.239 * [backup-simplify]: Simplify 1.0 into 1.0 0.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (- 1) into -1 0.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.240 * [backup-simplify]: Simplify (log -1) into (log -1) 0.240 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.241 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.248 * [backup-simplify]: Simplify -1.0 into -1.0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [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 0.257 * [backup-simplify]: Simplify -0.5 into -0.5 0.257 * [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)))) 0.257 * * * [progress]: simplifying candidates 0.258 * [simplify]: Simplifying: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (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))) (- (+ (* 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 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)))) 0.258 * [simplify]: Sending expressions to egg_math: (/ (+ 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)) (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))) (- (+ (* 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)))) (- (+ (* 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)))) 0.309 * * * [progress]: adding candidates to table 0.417 * * [progress]: iteration 2 / 4 0.417 * * * [progress]: picking best candidate 0.422 * * * * [pick]: Picked # 0.422 * * * [progress]: localizing error 0.434 * * * [progress]: generating rewritten candidates 0.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.444 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.518 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.539 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.580 * * * [progress]: generating series expansions 0.580 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.581 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 0.581 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.581 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.582 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (* 1 1) into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) 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)))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.590 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 0.590 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.590 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.595 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 0.595 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.595 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (* 1 1) into 1 0.595 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 0.603 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.603 * [backup-simplify]: Simplify (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 0.603 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.603 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.603 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.603 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.603 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.603 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.603 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.603 * [taylor]: Taking taylor expansion of N in N 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [taylor]: Taking taylor expansion of 0.5 in N 0.604 * [backup-simplify]: Simplify 0.5 into 0.5 0.604 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.604 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.604 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.605 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.605 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.605 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.605 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.605 * [taylor]: Taking taylor expansion of 0.5 in N 0.605 * [backup-simplify]: Simplify 0.5 into 0.5 0.605 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.606 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.606 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.608 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.610 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 0.610 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.618 * [backup-simplify]: Simplify (- 0) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [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 0.628 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.631 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 0.631 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.631 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.631 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.631 * [taylor]: Taking taylor expansion of N in N 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.631 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.631 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.631 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.631 * [taylor]: Taking taylor expansion of N in N 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of 0.5 in N 0.631 * [backup-simplify]: Simplify 0.5 into 0.5 0.631 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.631 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.631 * [taylor]: Taking taylor expansion of N in N 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.631 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.631 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.631 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.631 * [taylor]: Taking taylor expansion of N in N 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of 0.5 in N 0.631 * [backup-simplify]: Simplify 0.5 into 0.5 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.632 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.633 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.633 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 0.633 * [backup-simplify]: Simplify -0.5 into -0.5 0.634 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 0.636 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.637 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.642 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.645 * [backup-simplify]: Simplify (- 0) into 0 0.645 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.648 * [backup-simplify]: Simplify (- 0) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.651 * [backup-simplify]: Simplify (- 0) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.655 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) into (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) 0.655 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.655 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.655 * [taylor]: Taking taylor expansion of -1 in N 0.655 * [backup-simplify]: Simplify -1 into -1 0.655 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.655 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.655 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.655 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.655 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of 0.5 in N 0.655 * [backup-simplify]: Simplify 0.5 into 0.5 0.655 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.655 * [taylor]: Taking taylor expansion of -1 in N 0.655 * [backup-simplify]: Simplify -1 into -1 0.655 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.655 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.655 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.655 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.655 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of 0.5 in N 0.655 * [backup-simplify]: Simplify 0.5 into 0.5 0.655 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.656 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.657 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 0.657 * [backup-simplify]: Simplify -0.5 into -0.5 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.658 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.658 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.659 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0.3333333333333333 1)) into 0.3333333333333333 0.661 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 0.661 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (* 0 1))) into 0 0.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.666 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.668 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.670 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.672 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.674 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 0.674 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.680 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.687 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.687 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 N) 0.5) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.687 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in (N) around 0 0.687 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.687 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.687 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.687 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.687 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.687 * [taylor]: Taking taylor expansion of N in N 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [taylor]: Taking taylor expansion of 0.5 in N 0.688 * [backup-simplify]: Simplify 0.5 into 0.5 0.688 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.688 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.688 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.688 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.688 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.688 * [taylor]: Taking taylor expansion of N in N 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [taylor]: Taking taylor expansion of 0.5 in N 0.688 * [backup-simplify]: Simplify 0.5 into 0.5 0.688 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.689 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.689 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.690 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.690 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.691 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.698 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.706 * [backup-simplify]: Simplify (- 0) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [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 0.708 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.708 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ (- 0.5) (* 0.3333333333333333 (/ 1 N))) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.711 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (/ 1 N)) 0.5) into (- (* 0.3333333333333333 N) 0.5) 0.711 * [approximate]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in (N) around 0 0.711 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.711 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.711 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.711 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of 0.5 in N 0.711 * [backup-simplify]: Simplify 0.5 into 0.5 0.711 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.711 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.711 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.711 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of 0.5 in N 0.711 * [backup-simplify]: Simplify 0.5 into 0.5 0.711 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.712 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.712 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.713 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.714 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.714 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.715 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.715 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.716 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.719 * [backup-simplify]: Simplify (- 0) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.722 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (/ 1 N)) (- 0.5)) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.722 * [backup-simplify]: Simplify (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) into (- (+ (* 0.3333333333333333 N) 0.5)) 0.722 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.722 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.723 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.723 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.723 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.723 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.723 * [taylor]: Taking taylor expansion of N in N 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [taylor]: Taking taylor expansion of 0.5 in N 0.723 * [backup-simplify]: Simplify 0.5 into 0.5 0.723 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.723 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.723 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.723 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.723 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.723 * [taylor]: Taking taylor expansion of N in N 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [taylor]: Taking taylor expansion of 0.5 in N 0.723 * [backup-simplify]: Simplify 0.5 into 0.5 0.723 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.724 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.724 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.725 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.725 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.725 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.725 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.726 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (- 0) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify (- 0) into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (- 0) into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (- 0) into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (/ 1 (- N))) (- 0.5)) into (- (* 0.3333333333333333 (/ 1 N)) 0.5) 0.734 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.734 * [backup-simplify]: Simplify (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.734 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.734 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.734 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.734 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.734 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.734 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.734 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.734 * [taylor]: Taking taylor expansion of N in N 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.735 * [taylor]: Taking taylor expansion of 1.0 in N 0.735 * [backup-simplify]: Simplify 1.0 into 1.0 0.735 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.736 * [taylor]: Taking taylor expansion of 0.5 in N 0.736 * [backup-simplify]: Simplify 0.5 into 0.5 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.736 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.736 * [taylor]: Taking taylor expansion of N in N 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.736 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.736 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.736 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.736 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.736 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.736 * [taylor]: Taking taylor expansion of N in N 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.737 * [taylor]: Taking taylor expansion of 1.0 in N 0.737 * [backup-simplify]: Simplify 1.0 into 1.0 0.737 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.737 * [taylor]: Taking taylor expansion of N in N 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.737 * [taylor]: Taking taylor expansion of 0.5 in N 0.737 * [backup-simplify]: Simplify 0.5 into 0.5 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.738 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.738 * [taylor]: Taking taylor expansion of N in N 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (* 1 1) into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.739 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.739 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.739 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.741 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.742 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.742 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.744 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.745 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.746 * [backup-simplify]: Simplify (- 0) into 0 0.746 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.746 * [backup-simplify]: Simplify 1.0 into 1.0 0.747 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 0.747 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 0.747 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.747 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.747 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.747 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.747 * [taylor]: Taking taylor expansion of 1.0 in N 0.747 * [backup-simplify]: Simplify 1.0 into 1.0 0.747 * [taylor]: Taking taylor expansion of N in N 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.748 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.748 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.748 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.748 * [taylor]: Taking taylor expansion of N in N 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.748 * [taylor]: Taking taylor expansion of 0.5 in N 0.748 * [backup-simplify]: Simplify 0.5 into 0.5 0.748 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.748 * [taylor]: Taking taylor expansion of N in N 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.748 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.748 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.748 * [taylor]: Taking taylor expansion of 1.0 in N 0.748 * [backup-simplify]: Simplify 1.0 into 1.0 0.748 * [taylor]: Taking taylor expansion of N in N 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.748 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.748 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.748 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.748 * [taylor]: Taking taylor expansion of N in N 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.748 * [taylor]: Taking taylor expansion of 0.5 in N 0.748 * [backup-simplify]: Simplify 0.5 into 0.5 0.748 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.748 * [taylor]: Taking taylor expansion of N in N 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.750 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.750 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.750 * [backup-simplify]: Simplify 1.0 into 1.0 0.751 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (* 1 1) into 1 0.752 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.752 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.752 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.753 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.753 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.753 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.754 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.755 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.756 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.756 * [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)))) 0.756 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 0.757 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.757 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.757 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.757 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.757 * [taylor]: Taking taylor expansion of 0.5 in N 0.757 * [backup-simplify]: Simplify 0.5 into 0.5 0.757 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.757 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.757 * [taylor]: Taking taylor expansion of 1.0 in N 0.757 * [backup-simplify]: Simplify 1.0 into 1.0 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.757 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.757 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.757 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.757 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.757 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.757 * [taylor]: Taking taylor expansion of 0.5 in N 0.757 * [backup-simplify]: Simplify 0.5 into 0.5 0.757 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.757 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.757 * [taylor]: Taking taylor expansion of 1.0 in N 0.757 * [backup-simplify]: Simplify 1.0 into 1.0 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.757 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.757 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.757 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (- 0) into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.759 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.760 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.760 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.760 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.761 * [backup-simplify]: Simplify (* 1 1) into 1 0.761 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.761 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.762 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.762 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.763 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.764 * [backup-simplify]: Simplify (* 1 1) into 1 0.764 * [backup-simplify]: Simplify (* 1 1) into 1 0.765 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.765 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.765 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.765 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.766 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.767 * [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)))) 0.767 * * * [progress]: simplifying candidates 0.769 * [simplify]: Simplifying: (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 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0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5)))) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* 1 (- (/ 0.3333333333333333 N) 0.5)) (/ (exp (/ 0.3333333333333333 N)) (exp 0.5)) (log (- (/ 0.3333333333333333 N) 0.5)) (exp (- (/ 0.3333333333333333 N) 0.5)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (sqrt (- (/ 0.3333333333333333 N) 0.5)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) (- 0.5) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (+ (/ 0.3333333333333333 N) 0.5) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) (- (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) 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3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) N) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (- 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h1))) (+ (- (log 1) (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (log (/ 1 (pow h0 2))) (log (- (/ h2 h0) h1))) (log (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (exp (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1))) (* (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1))) (* (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)))) (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (sqrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (sqrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* 1 (- (pow (/ h2 h0) 3) (pow h1 3))) (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) (* 1 (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) (* (pow h0 2) (+ (/ h2 h0) h1)) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) h0) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) h0) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 h0) (sqrt (- (/ h2 h0) h1))) (* (/ 1 h0) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) (/ h2 h0)) (* (/ 1 (pow h0 2)) (- h1)) (* (/ 1 (pow h0 2)) (/ h2 h0)) (* (/ 1 (pow h0 2)) (- h1)) (* (/ h2 h0) (/ 1 (pow h0 2))) (* (- h1) (/ 1 (pow h0 2))) (* (/ h2 h0) (/ 1 (pow h0 2))) (* (- h1) (/ 1 (pow h0 2))) (* (/ 1 (pow h0 2)) (* (cbrt (- (/ h2 h0) h1)) (cbrt (- (/ h2 h0) h1)))) (* (/ 1 (pow h0 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) 1) (* (/ 1 (pow h0 2)) (+ (sqrt (/ h2 h0)) (sqrt h1))) (* (/ 1 (pow h0 2)) (+ (/ (sqrt h2) (sqrt h0)) (sqrt h1))) (* (/ 1 (pow h0 2)) 1) (* (cbrt (/ 1 (pow h0 2))) (- (/ h2 h0) h1)) (* (sqrt (/ 1 (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) h0) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) h0) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 h0) (- (/ h2 h0) h1)) (* (/ 1 (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ 1 (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) (* (/ 1 (pow h0 2)) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) (* 1 (- (/ h2 h0) h1)) (/ (exp (/ h2 h0)) (exp h1)) (log (- (/ h2 h0) h1)) (exp (- (/ h2 h0) h1)) (* (cbrt (- (/ h2 h0) h1)) (cbrt (- (/ h2 h0) h1))) (cbrt (- (/ h2 h0) h1)) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1)) (sqrt (- (/ h2 h0) h1)) (sqrt (- (/ h2 h0) h1)) (- (pow (/ h2 h0) 3) (pow h1 3)) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) (- h1) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1)) (+ (/ h2 h0) h1) (+ (sqrt (/ h2 h0)) (sqrt h1)) (- (sqrt (/ h2 h0)) (sqrt h1)) (+ (/ (sqrt h2) (sqrt h0)) (sqrt h1)) (- (/ (sqrt h2) (sqrt h0)) (sqrt h1)) (- (/ h2 h0) h1) (- h1) (* (exp (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (exp (/ h3 h0))) (log (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (exp (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (* (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (* (* (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (+ (* (* 1 (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) h3)) (* (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) h0) (+ (* (* 1 (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) h0) (* (* (pow h0 2) (+ (/ h2 h0) h1)) h3)) (* (* (pow h0 2) (+ (/ h2 h0) h1)) h0) (+ (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3)) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h0) (+ (* (* (/ 1 (pow h0 2)) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) h0) (* (+ (/ h2 h0) h1) h3)) (* (+ (/ h2 h0) h1) h0) (+ (* (* 1 (- (/ h2 h0) h1)) h0) (* (pow h0 2) h3)) (* (pow h0 2) h0) (+ (pow (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) 3) (pow (/ h3 h0) 3)) (+ (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (- (* (/ h3 h0) (/ h3 h0)) (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)))) (- (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ h3 h0) (/ h3 h0))) (- (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- h1)) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 h0)) h1) (- (* h2 (/ 1 h0)) h1) (- (* h2 (/ 1 h0)) h1) (- (+ (* h3 (/ 1 h0)) (* h2 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) 0.842 * * * [progress]: adding candidates to table 1.456 * * [progress]: iteration 3 / 4 1.456 * * * [progress]: picking best candidate 1.460 * * * * [pick]: Picked # 1.460 * * * [progress]: localizing error 1.465 * * * [progress]: generating rewritten candidates 1.465 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.471 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.493 * * * [progress]: generating series expansions 1.493 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.493 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.493 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.493 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.493 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.493 * [taylor]: Taking taylor expansion of N in N 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [taylor]: Taking taylor expansion of 1.0 in N 1.493 * [backup-simplify]: Simplify 1.0 into 1.0 1.493 * [taylor]: Taking taylor expansion of N in N 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.495 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.495 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.495 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.495 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.495 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.495 * [taylor]: Taking taylor expansion of N in N 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [taylor]: Taking taylor expansion of 1.0 in N 1.495 * [backup-simplify]: Simplify 1.0 into 1.0 1.495 * [taylor]: Taking taylor expansion of N in N 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.496 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.496 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.497 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.497 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.497 * [backup-simplify]: Simplify (+ 1 0) into 1 1.498 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.501 * [backup-simplify]: Simplify 1.0 into 1.0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.509 * [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)) 1.510 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.511 * [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))) 1.511 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.511 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.512 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.512 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.512 * [taylor]: Taking taylor expansion of N in N 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.512 * [taylor]: Taking taylor expansion of N in N 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (/ 1 1) into 1 1.512 * [taylor]: Taking taylor expansion of 1.0 in N 1.512 * [backup-simplify]: Simplify 1.0 into 1.0 1.513 * [backup-simplify]: Simplify (+ 1 0) into 1 1.513 * [backup-simplify]: Simplify (* 0 1) into 0 1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.515 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.515 * [backup-simplify]: Simplify (log 1) into 0 1.515 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.515 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.515 * [taylor]: Taking taylor expansion of N in N 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.515 * [taylor]: Taking taylor expansion of N in N 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [taylor]: Taking taylor expansion of 1.0 in N 1.515 * [backup-simplify]: Simplify 1.0 into 1.0 1.516 * [backup-simplify]: Simplify (+ 1 0) into 1 1.516 * [backup-simplify]: Simplify (* 0 1) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.517 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.518 * [backup-simplify]: Simplify (log 1) into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.524 * [backup-simplify]: Simplify 1.0 into 1.0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.536 * [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 1.536 * [backup-simplify]: Simplify -0.5 into -0.5 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.548 * [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 1.548 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.548 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.548 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.548 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.548 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.548 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.548 * [taylor]: Taking taylor expansion of -1 in N 1.548 * [backup-simplify]: Simplify -1 into -1 1.548 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.548 * [taylor]: Taking taylor expansion of N in N 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.548 * [taylor]: Taking taylor expansion of 1.0 in N 1.548 * [backup-simplify]: Simplify 1.0 into 1.0 1.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.548 * [taylor]: Taking taylor expansion of N in N 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify (/ 1 1) into 1 1.549 * [backup-simplify]: Simplify (- 1) into -1 1.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.549 * [backup-simplify]: Simplify (* 0 -1) into 0 1.550 * [backup-simplify]: Simplify (* -1 0) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.551 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.551 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.551 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.552 * [backup-simplify]: Simplify (log 1) into 0 1.552 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.552 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.552 * [taylor]: Taking taylor expansion of -1 in N 1.552 * [backup-simplify]: Simplify -1 into -1 1.552 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.552 * [taylor]: Taking taylor expansion of N in N 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.552 * [taylor]: Taking taylor expansion of 1.0 in N 1.552 * [backup-simplify]: Simplify 1.0 into 1.0 1.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.552 * [taylor]: Taking taylor expansion of N in N 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (/ 1 1) into 1 1.552 * [backup-simplify]: Simplify (- 1) into -1 1.553 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.553 * [backup-simplify]: Simplify (* 0 -1) into 0 1.553 * [backup-simplify]: Simplify (* -1 0) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.555 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.555 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.555 * [backup-simplify]: Simplify (log 1) into 0 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.559 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.563 * [backup-simplify]: Simplify -1.0 into -1.0 1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.566 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.573 * [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 1.573 * [backup-simplify]: Simplify -0.5 into -0.5 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.576 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.587 * [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 1.587 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.587 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.587 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.587 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 1.587 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.587 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.587 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.587 * [taylor]: Taking taylor expansion of N in N 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [taylor]: Taking taylor expansion of 1.0 in N 1.587 * [backup-simplify]: Simplify 1.0 into 1.0 1.587 * [taylor]: Taking taylor expansion of N in N 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.588 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.588 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.588 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.588 * [taylor]: Taking taylor expansion of N in N 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [taylor]: Taking taylor expansion of 1.0 in N 1.588 * [backup-simplify]: Simplify 1.0 into 1.0 1.588 * [taylor]: Taking taylor expansion of N in N 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.589 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.589 * [backup-simplify]: Simplify 1.0 into 1.0 1.589 * [backup-simplify]: Simplify (+ 1 0) into 1 1.590 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 1.595 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 1.595 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.595 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.595 * [taylor]: Taking taylor expansion of N in N 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.596 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [taylor]: Taking taylor expansion of 1.0 in N 1.596 * [backup-simplify]: Simplify 1.0 into 1.0 1.596 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.596 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [taylor]: Taking taylor expansion of 1.0 in N 1.596 * [backup-simplify]: Simplify 1.0 into 1.0 1.597 * [backup-simplify]: Simplify (+ 1 0) into 1 1.597 * [backup-simplify]: Simplify (* 0 1) into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.598 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.598 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.601 * [backup-simplify]: Simplify 1.0 into 1.0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) 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)) (* 0 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.612 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 1.612 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.612 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.612 * [taylor]: Taking taylor expansion of -1 in N 1.612 * [backup-simplify]: Simplify -1 into -1 1.612 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.612 * [taylor]: Taking taylor expansion of N in N 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.613 * [taylor]: Taking taylor expansion of 1.0 in N 1.613 * [backup-simplify]: Simplify 1.0 into 1.0 1.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.613 * [taylor]: Taking taylor expansion of N in N 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (/ 1 1) into 1 1.613 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.613 * [taylor]: Taking taylor expansion of -1 in N 1.613 * [backup-simplify]: Simplify -1 into -1 1.613 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.613 * [taylor]: Taking taylor expansion of N in N 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.613 * [taylor]: Taking taylor expansion of 1.0 in N 1.613 * [backup-simplify]: Simplify 1.0 into 1.0 1.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.613 * [taylor]: Taking taylor expansion of N in N 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (/ 1 1) into 1 1.614 * [backup-simplify]: Simplify (- 1) into -1 1.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.614 * [backup-simplify]: Simplify (* 0 -1) into 0 1.615 * [backup-simplify]: Simplify (* -1 0) into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.621 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.621 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.621 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.626 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.627 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.628 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.630 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 1.636 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 1.640 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 1.644 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 1.649 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 1.649 * * * [progress]: simplifying candidates 1.650 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.651 * [simplify]: Sending expressions to egg_math: (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))) (- (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))) (- (+ (* 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)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 1.748 * * * [progress]: adding candidates to table 1.860 * * [progress]: iteration 4 / 4 1.860 * * * [progress]: picking best candidate 1.862 * * * * [pick]: Picked # 1.862 * * * [progress]: localizing error 1.877 * * * [progress]: generating rewritten candidates 1.877 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.930 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.934 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.935 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 1.938 * * * [progress]: generating series expansions 1.938 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.938 * [backup-simplify]: Simplify (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) into (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) 1.938 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in (N) around 0 1.938 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in N 1.938 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.938 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.938 * [taylor]: Taking taylor expansion of N in N 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of 1.0 in N 1.938 * [backup-simplify]: Simplify 1.0 into 1.0 1.939 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.939 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.939 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 1.939 * [taylor]: Taking taylor expansion of 3 in N 1.939 * [backup-simplify]: Simplify 3 into 3 1.939 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 1.939 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.939 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.939 * [taylor]: Taking taylor expansion of 1/3 in N 1.939 * [backup-simplify]: Simplify 1/3 into 1/3 1.939 * [taylor]: Taking taylor expansion of (log N) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (log 1) into 0 1.940 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.940 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.940 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.940 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 1.940 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in N 1.940 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.940 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.940 * [taylor]: Taking taylor expansion of N in N 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of 1.0 in N 1.940 * [backup-simplify]: Simplify 1.0 into 1.0 1.940 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.941 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.941 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 1.941 * [taylor]: Taking taylor expansion of 3 in N 1.941 * [backup-simplify]: Simplify 3 into 3 1.941 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 1.941 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.941 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.941 * [taylor]: Taking taylor expansion of 1/3 in N 1.941 * [backup-simplify]: Simplify 1/3 into 1/3 1.941 * [taylor]: Taking taylor expansion of (log N) in N 1.941 * [taylor]: Taking taylor expansion of N in N 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (log 1) into 0 1.941 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.942 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.942 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.942 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 1.942 * [backup-simplify]: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) 1.942 * [backup-simplify]: Simplify (- (* 3 (log (pow N 1/3)))) into (- (* 3 (log (pow N 1/3)))) 1.942 * [backup-simplify]: Simplify (+ (log 1.0) (- (* 3 (log (pow N 1/3))))) into (- (log 1.0) (* 3 (log (pow N 1/3)))) 1.943 * [backup-simplify]: Simplify (- (log 1.0) (* 3 (log (pow N 1/3)))) into (- (log 1.0) (* 3 (log (pow N 1/3)))) 1.943 * [backup-simplify]: Simplify (+ 1 0) into 1 1.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.947 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.948 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.948 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 1/3) 1)))) 1) into 0 1.949 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (pow N 1/3)))) into 0 1.949 * [backup-simplify]: Simplify (- 0) into 0 1.950 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.950 * [backup-simplify]: Simplify 1.0 into 1.0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [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)) 1.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.958 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 1/3) 1)))) 2) into 0 1.961 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow N 1/3))))) into 0 1.961 * [backup-simplify]: Simplify (- 0) into 0 1.962 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.964 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.966 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (* 3 (log (pow N 1/3)))))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (* 3 (log (pow N 1/3))))) 1.966 * [backup-simplify]: Simplify (- (- (log (+ (/ 1 N) 1.0)) (* 2 (log (cbrt (/ 1 N))))) (log (cbrt (/ 1 N)))) into (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) 1.966 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in (N) around 0 1.966 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 1.966 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.966 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.966 * [taylor]: Taking taylor expansion of N in N 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [taylor]: Taking taylor expansion of 1.0 in N 1.967 * [backup-simplify]: Simplify 1.0 into 1.0 1.967 * [backup-simplify]: Simplify (+ 1 0) into 1 1.967 * [backup-simplify]: Simplify (log 1) into 0 1.967 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 1.967 * [taylor]: Taking taylor expansion of 3 in N 1.967 * [backup-simplify]: Simplify 3 into 3 1.967 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 1.967 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.967 * [taylor]: Taking taylor expansion of 1/3 in N 1.967 * [backup-simplify]: Simplify 1/3 into 1/3 1.967 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.967 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.968 * [taylor]: Taking taylor expansion of N in N 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [backup-simplify]: Simplify (log 1) into 0 1.968 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.968 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.968 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.969 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 1.969 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 1.969 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.969 * [taylor]: Taking taylor expansion of N in N 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of 1.0 in N 1.969 * [backup-simplify]: Simplify 1.0 into 1.0 1.969 * [backup-simplify]: Simplify (+ 1 0) into 1 1.969 * [backup-simplify]: Simplify (log 1) into 0 1.969 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 1.969 * [taylor]: Taking taylor expansion of 3 in N 1.969 * [backup-simplify]: Simplify 3 into 3 1.970 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 1.970 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.970 * [taylor]: Taking taylor expansion of 1/3 in N 1.970 * [backup-simplify]: Simplify 1/3 into 1/3 1.970 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.970 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.970 * [taylor]: Taking taylor expansion of N in N 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.970 * [backup-simplify]: Simplify (log 1) into 0 1.970 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.970 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.971 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.971 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 1.971 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.971 * [backup-simplify]: Simplify (* 3 (log (pow N -1/3))) into (* 3 (log (pow N -1/3))) 1.971 * [backup-simplify]: Simplify (- (* 3 (log (pow N -1/3)))) into (- (* 3 (log (pow N -1/3)))) 1.971 * [backup-simplify]: Simplify (+ (- (log N)) (- (* 3 (log (pow N -1/3))))) into (- (+ (* 3 (log (pow N -1/3))) (log N))) 1.971 * [backup-simplify]: Simplify (- (+ (* 3 (log (pow N -1/3))) (log N))) into (- (+ (* 3 (log (pow N -1/3))) (log N))) 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.977 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.978 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N -1/3) 1)))) 1) into 0 1.979 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (pow N -1/3)))) into 0 1.979 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.980 * [backup-simplify]: Simplify 1.0 into 1.0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [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 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.989 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.990 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.990 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N -1/3) 1)))) 2) into 0 1.992 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow N -1/3))))) into 0 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 1.993 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.994 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N)))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N))))) 1.994 * [backup-simplify]: Simplify (- (- (log (+ (/ 1 (- N)) 1.0)) (* 2 (log (cbrt (/ 1 (- N)))))) (log (cbrt (/ 1 (- N))))) into (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) 1.994 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in (N) around 0 1.994 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 1.994 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.994 * [taylor]: Taking taylor expansion of 1.0 in N 1.994 * [backup-simplify]: Simplify 1.0 into 1.0 1.994 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.994 * [taylor]: Taking taylor expansion of N in N 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [backup-simplify]: Simplify (- 1) into -1 1.995 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.995 * [backup-simplify]: Simplify (log -1) into (log -1) 1.995 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 1.995 * [taylor]: Taking taylor expansion of 3 in N 1.995 * [backup-simplify]: Simplify 3 into 3 1.995 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 1.995 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.995 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.995 * [taylor]: Taking taylor expansion of -1 in N 1.995 * [backup-simplify]: Simplify -1 into -1 1.995 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.996 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.996 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.996 * [taylor]: Taking taylor expansion of 1/3 in N 1.996 * [backup-simplify]: Simplify 1/3 into 1/3 1.996 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.996 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.996 * [taylor]: Taking taylor expansion of N in N 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 1.997 * [backup-simplify]: Simplify (log 1) into 0 1.997 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.997 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.997 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.998 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.998 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 1.998 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 1.998 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.998 * [taylor]: Taking taylor expansion of 1.0 in N 1.998 * [backup-simplify]: Simplify 1.0 into 1.0 1.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.998 * [taylor]: Taking taylor expansion of N in N 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [backup-simplify]: Simplify (- 1) into -1 2.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.004 * [backup-simplify]: Simplify (log -1) into (log -1) 2.004 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 2.004 * [taylor]: Taking taylor expansion of 3 in N 2.005 * [backup-simplify]: Simplify 3 into 3 2.005 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 2.005 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.005 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.005 * [taylor]: Taking taylor expansion of -1 in N 2.005 * [backup-simplify]: Simplify -1 into -1 2.005 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.006 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.006 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.006 * [taylor]: Taking taylor expansion of 1/3 in N 2.006 * [backup-simplify]: Simplify 1/3 into 1/3 2.006 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.006 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.006 * [taylor]: Taking taylor expansion of N in N 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [backup-simplify]: Simplify (log 1) into 0 2.007 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.007 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.007 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.008 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.008 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 2.009 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.010 * [backup-simplify]: Simplify (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) into (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) 2.010 * [backup-simplify]: Simplify (- (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) into (- (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) 2.011 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))))) into (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) 2.012 * [backup-simplify]: Simplify (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) into (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (- 0) into 0 2.013 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.019 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.020 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.020 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 2.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 1) into 0 2.023 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) into 0 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.023 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 2.023 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [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 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.037 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.038 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.039 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.041 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 2.043 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 2) into 0 2.044 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))))) into 0 2.044 * [backup-simplify]: Simplify (- 0) into 0 2.044 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 2.045 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.046 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (+ (* (- 1.0) (/ 1 (- N))) (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)))) (log (/ 1 (- N))))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) 2.046 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.046 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 2.046 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.046 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.046 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.046 * [taylor]: Taking taylor expansion of N in N 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [taylor]: Taking taylor expansion of 1.0 in N 2.046 * [backup-simplify]: Simplify 1.0 into 1.0 2.046 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.047 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.047 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.047 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.047 * [taylor]: Taking taylor expansion of N in N 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.047 * [taylor]: Taking taylor expansion of 1.0 in N 2.047 * [backup-simplify]: Simplify 1.0 into 1.0 2.047 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.047 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.048 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.048 * [backup-simplify]: Simplify (+ 1 0) into 1 2.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.051 * [backup-simplify]: Simplify 1.0 into 1.0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [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)) 2.058 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.059 * [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)))) 2.059 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 2.060 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.060 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.060 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.060 * [taylor]: Taking taylor expansion of N in N 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1 1) into 1 2.060 * [taylor]: Taking taylor expansion of 1.0 in N 2.060 * [backup-simplify]: Simplify 1.0 into 1.0 2.060 * [backup-simplify]: Simplify (+ 1 0) into 1 2.060 * [backup-simplify]: Simplify (log 1) into 0 2.060 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.060 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.061 * [taylor]: Taking taylor expansion of N in N 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (/ 1 1) into 1 2.061 * [taylor]: Taking taylor expansion of 1.0 in N 2.061 * [backup-simplify]: Simplify 1.0 into 1.0 2.061 * [backup-simplify]: Simplify (+ 1 0) into 1 2.061 * [backup-simplify]: Simplify (log 1) into 0 2.062 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.062 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.066 * [backup-simplify]: Simplify 1.0 into 1.0 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [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 2.073 * [backup-simplify]: Simplify -0.5 into -0.5 2.073 * [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)))) 2.073 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 2.074 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 2.074 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.074 * [taylor]: Taking taylor expansion of 1.0 in N 2.074 * [backup-simplify]: Simplify 1.0 into 1.0 2.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.074 * [taylor]: Taking taylor expansion of N in N 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [backup-simplify]: Simplify (- 1) into -1 2.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.075 * [backup-simplify]: Simplify (log -1) into (log -1) 2.075 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.075 * [taylor]: Taking taylor expansion of 1.0 in N 2.075 * [backup-simplify]: Simplify 1.0 into 1.0 2.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.075 * [taylor]: Taking taylor expansion of N in N 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (/ 1 1) into 1 2.075 * [backup-simplify]: Simplify (- 1) into -1 2.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.076 * [backup-simplify]: Simplify (log -1) into (log -1) 2.076 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.077 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.081 * [backup-simplify]: Simplify -1.0 into -1.0 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (- 0) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [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 2.089 * [backup-simplify]: Simplify -0.5 into -0.5 2.090 * [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)))) 2.090 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.090 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 2.090 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.090 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.090 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.090 * [taylor]: Taking taylor expansion of 1/3 in N 2.090 * [backup-simplify]: Simplify 1/3 into 1/3 2.090 * [taylor]: Taking taylor expansion of (log N) in N 2.090 * [taylor]: Taking taylor expansion of N in N 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (log 1) into 0 2.091 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.091 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.091 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.091 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.091 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.091 * [taylor]: Taking taylor expansion of 1/3 in N 2.091 * [backup-simplify]: Simplify 1/3 into 1/3 2.091 * [taylor]: Taking taylor expansion of (log N) in N 2.091 * [taylor]: Taking taylor expansion of N in N 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (log 1) into 0 2.091 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.092 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.092 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.092 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.093 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.094 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.095 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.096 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.097 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.103 * [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 2.103 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.104 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.105 * [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 2.105 * [backup-simplify]: Simplify 0 into 0 2.111 * [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 2.111 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.112 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 2.114 * [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 2.114 * [backup-simplify]: Simplify 0 into 0 2.123 * [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 2.124 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.125 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 2.127 * [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 2.127 * [backup-simplify]: Simplify 0 into 0 2.146 * [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 2.147 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.148 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 2.152 * [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 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.152 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 2.152 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.153 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.153 * [taylor]: Taking taylor expansion of 1/3 in N 2.153 * [backup-simplify]: Simplify 1/3 into 1/3 2.153 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.153 * [taylor]: Taking taylor expansion of N in N 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (/ 1 1) into 1 2.153 * [backup-simplify]: Simplify (log 1) into 0 2.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.154 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.154 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.154 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.154 * [taylor]: Taking taylor expansion of 1/3 in N 2.154 * [backup-simplify]: Simplify 1/3 into 1/3 2.154 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.154 * [taylor]: Taking taylor expansion of N in N 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (/ 1 1) into 1 2.155 * [backup-simplify]: Simplify (log 1) into 0 2.155 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.155 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.155 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.155 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.157 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.158 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.162 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.164 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [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 2.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.171 * [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 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [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 2.179 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.180 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.181 * [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 2.181 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [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 2.193 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.194 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.199 * [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 2.199 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.218 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.222 * [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 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 2.222 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.222 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.222 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.222 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.222 * [taylor]: Taking taylor expansion of -1 in N 2.222 * [backup-simplify]: Simplify -1 into -1 2.223 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.223 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.223 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.223 * [taylor]: Taking taylor expansion of 1/3 in N 2.223 * [backup-simplify]: Simplify 1/3 into 1/3 2.223 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.223 * [taylor]: Taking taylor expansion of N in N 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [backup-simplify]: Simplify (log 1) into 0 2.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.224 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.224 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.224 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.224 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.224 * [taylor]: Taking taylor expansion of -1 in N 2.224 * [backup-simplify]: Simplify -1 into -1 2.225 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.225 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.225 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.225 * [taylor]: Taking taylor expansion of 1/3 in N 2.225 * [backup-simplify]: Simplify 1/3 into 1/3 2.225 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.225 * [taylor]: Taking taylor expansion of N in N 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.226 * [backup-simplify]: Simplify (log 1) into 0 2.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.226 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.226 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.227 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.227 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.229 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.229 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.233 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.234 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.235 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.238 * [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 2.239 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.240 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.240 * [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 2.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.242 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [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 2.249 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.250 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.252 * [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 2.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.254 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.264 * [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 2.264 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.266 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.268 * [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 2.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.271 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [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 2.300 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.302 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.306 * [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 2.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.310 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 2.310 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 2.310 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 2.310 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.310 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.310 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.310 * [taylor]: Taking taylor expansion of 1/3 in N 2.310 * [backup-simplify]: Simplify 1/3 into 1/3 2.310 * [taylor]: Taking taylor expansion of (log N) in N 2.310 * [taylor]: Taking taylor expansion of N in N 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (log 1) into 0 2.311 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.311 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.311 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.311 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.311 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.311 * [taylor]: Taking taylor expansion of 1/3 in N 2.311 * [backup-simplify]: Simplify 1/3 into 1/3 2.311 * [taylor]: Taking taylor expansion of (log N) in N 2.311 * [taylor]: Taking taylor expansion of N in N 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (log 1) into 0 2.312 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.312 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.312 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.312 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.313 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.313 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.314 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.316 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.316 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.317 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.321 * [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 2.321 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.323 * [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 2.323 * [backup-simplify]: Simplify 0 into 0 2.329 * [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 2.329 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.330 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 2.331 * [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 2.331 * [backup-simplify]: Simplify 0 into 0 2.341 * [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 2.341 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 2.345 * [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 2.345 * [backup-simplify]: Simplify 0 into 0 2.362 * [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 2.362 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.363 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 2.367 * [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 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.367 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 2.367 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.367 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.367 * [taylor]: Taking taylor expansion of 1/3 in N 2.367 * [backup-simplify]: Simplify 1/3 into 1/3 2.367 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (/ 1 1) into 1 2.368 * [backup-simplify]: Simplify (log 1) into 0 2.368 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.368 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.368 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.368 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.368 * [taylor]: Taking taylor expansion of 1/3 in N 2.368 * [backup-simplify]: Simplify 1/3 into 1/3 2.368 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.368 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.368 * [taylor]: Taking taylor expansion of N in N 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.368 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [backup-simplify]: Simplify (log 1) into 0 2.369 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.369 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.369 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.369 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.371 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.371 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.372 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.374 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.375 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.379 * [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 2.379 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.381 * [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 2.381 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.393 * [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 2.394 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.397 * [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 2.397 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.407 * [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 2.408 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.412 * [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 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.432 * [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 2.433 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.437 * [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 2.437 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 2.438 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.438 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.438 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.438 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.438 * [taylor]: Taking taylor expansion of -1 in N 2.438 * [backup-simplify]: Simplify -1 into -1 2.438 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.439 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.439 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.439 * [taylor]: Taking taylor expansion of 1/3 in N 2.439 * [backup-simplify]: Simplify 1/3 into 1/3 2.439 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.439 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.439 * [taylor]: Taking taylor expansion of N in N 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify (/ 1 1) into 1 2.439 * [backup-simplify]: Simplify (log 1) into 0 2.440 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.440 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.440 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.440 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.440 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.440 * [taylor]: Taking taylor expansion of -1 in N 2.440 * [backup-simplify]: Simplify -1 into -1 2.440 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.441 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.441 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.441 * [taylor]: Taking taylor expansion of 1/3 in N 2.441 * [backup-simplify]: Simplify 1/3 into 1/3 2.441 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.441 * [taylor]: Taking taylor expansion of N in N 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.441 * [backup-simplify]: Simplify (/ 1 1) into 1 2.441 * [backup-simplify]: Simplify (log 1) into 0 2.442 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.442 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.442 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.442 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.443 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.444 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.445 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.445 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.446 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.448 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.449 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.451 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.454 * [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 2.455 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.456 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.457 * [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 2.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.458 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [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 2.465 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.468 * [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 2.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.470 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.480 * [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 2.484 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.486 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.488 * [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 2.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.490 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.513 * [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 2.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.515 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 2.516 * * * [progress]: simplifying candidates 2.517 * [simplify]: Simplifying: (/ (/ (+ N 1.0) (exp (* 2 (log (cbrt N))))) (cbrt N)) (/ (exp (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (cbrt N)) (log (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (exp (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (* (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (* (* (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (pow (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) 3) (pow (log (cbrt N)) 3)) (+ (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (+ (* (log (cbrt N)) (log (cbrt N))) (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))))) (- (log (cbrt N))) (- (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (* (log (cbrt N)) (log (cbrt N)))) (+ (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (+ (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N))))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt (sqrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt 1))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (sqrt (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log 1)) (- (- (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (cbrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (* 2 (log (cbrt N)))) (log (cbrt N))) (+ (* 2 (log (cbrt N))) (log (cbrt N))) (- (log (cbrt N))) (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))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (* 3 (log (pow N 1/3))))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N))))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) (- (+ (* 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)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 2.517 * [simplify]: Sending expressions to egg_math: (/ (/ (+ h0 h1) (exp (* 2 (log (cbrt h0))))) (cbrt h0)) (/ (exp (- (log (+ h0 h1)) (* 2 (log (cbrt h0))))) (cbrt h0)) (log (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (exp (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (* (cbrt (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (cbrt (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0))))) (cbrt (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (* (* (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (sqrt (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (sqrt (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (- (pow (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) 3) (pow (log (cbrt h0)) 3)) (+ (* (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (- (log (+ h0 h1)) (* 2 (log (cbrt h0))))) (+ (* (log (cbrt h0)) (log (cbrt h0))) (* (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0))))) (- (log (cbrt h0))) (- (* (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (- (log (+ h0 h1)) (* 2 (log (cbrt h0))))) (* (log (cbrt h0)) (log (cbrt h0)))) (+ (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (+ (sqrt (- (log (+ h0 h1)) (* 2 (log (cbrt h0))))) (sqrt (log (cbrt h0)))) (- (sqrt (- (log (+ h0 h1)) (* 2 (log (cbrt h0))))) (sqrt (log (cbrt h0)))) (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt (* (cbrt h0) (cbrt h0))))) (- (- (log (+ h0 h1)) (* 2 (log (cbrt h0)))) (log (cbrt (sqrt 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(* 3 (log (* (pow (* -1 h0) 1/3) (cbrt -1))))))) (- (+ (* 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)))) (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)) 2.656 * * * [progress]: adding candidates to table 2.866 * [progress]: [Phase 3 of 3] Extracting. 2.866 * * [regime]: Finding splitpoints for: (# # #) 2.867 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.867 * * * * [regimes]: Trying to branch on N from (# # #) 2.890 * * * [regime]: Found split indices: #