5.146 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.048 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.050 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.051 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.052 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.080 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.080 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.080 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [backup-simplify]: Simplify 1.0 into 1.0 0.080 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.081 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.081 * [taylor]: Taking taylor expansion of (log N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (log 1) into 0 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.082 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (log 1) into 0 0.082 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.082 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.083 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.083 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.087 * [backup-simplify]: Simplify 1.0 into 1.0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [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)) 0.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.098 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.099 * [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))) 0.100 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.100 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [backup-simplify]: Simplify 1.0 into 1.0 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (log 1) into 0 0.101 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (log 1) into 0 0.101 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of 1.0 in N 0.101 * [backup-simplify]: Simplify 1.0 into 1.0 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (log 1) into 0 0.102 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [backup-simplify]: Simplify (log 1) into 0 0.103 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.103 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.103 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.103 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.109 * [backup-simplify]: Simplify 1.0 into 1.0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.123 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [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 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [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 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.135 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.136 * [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)))) 0.136 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.136 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.136 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.136 * [backup-simplify]: Simplify 1.0 into 1.0 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (- 1) into -1 0.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.137 * [backup-simplify]: Simplify (log -1) into (log -1) 0.137 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.137 * [taylor]: Taking taylor expansion of -1 in N 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ -1 1) into -1 0.138 * [backup-simplify]: Simplify (log -1) into (log -1) 0.138 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (- 1) into -1 0.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.139 * [backup-simplify]: Simplify (log -1) into (log -1) 0.139 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.139 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.139 * [taylor]: Taking taylor expansion of -1 in N 0.139 * [backup-simplify]: Simplify -1 into -1 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ -1 1) into -1 0.139 * [backup-simplify]: Simplify (log -1) into (log -1) 0.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.141 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.141 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.148 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.157 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [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 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [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 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.170 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.172 * [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)))) 0.172 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.172 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.172 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.172 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.172 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.172 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.173 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [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)) 0.183 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.184 * [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)))) 0.184 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.184 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.186 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [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 0.202 * [backup-simplify]: Simplify -0.5 into -0.5 0.202 * [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)))) 0.203 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.203 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.204 * [backup-simplify]: Simplify (log -1) into (log -1) 0.204 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [backup-simplify]: Simplify 1.0 into 1.0 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (- 1) into -1 0.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.205 * [backup-simplify]: Simplify (log -1) into (log -1) 0.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.206 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.210 * [backup-simplify]: Simplify -1.0 into -1.0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [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 0.217 * [backup-simplify]: Simplify -0.5 into -0.5 0.217 * [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)))) 0.217 * * * [progress]: simplifying candidates 0.218 * [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)))) 0.218 * [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)))) 0.221 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.225 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.233 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.268 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.269 * * * [progress]: adding candidates to table 0.367 * * [progress]: iteration 2 / 4 0.367 * * * [progress]: picking best candidate 0.375 * * * * [pick]: Picked # 0.375 * * * [progress]: localizing error 0.380 * * * [progress]: generating rewritten candidates 0.380 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.387 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.407 * * * [progress]: generating series expansions 0.407 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.407 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.407 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.407 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.407 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.407 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of 1.0 in N 0.407 * [backup-simplify]: Simplify 1.0 into 1.0 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.408 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.408 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.408 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.408 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.408 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.408 * [taylor]: Taking taylor expansion of N in N 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of 1.0 in N 0.409 * [backup-simplify]: Simplify 1.0 into 1.0 0.409 * [taylor]: Taking taylor expansion of N in N 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.409 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.409 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.410 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.410 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.414 * [backup-simplify]: Simplify 1.0 into 1.0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.420 * [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)) 0.421 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.422 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.422 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.422 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.422 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.422 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.422 * [taylor]: Taking taylor expansion of N in N 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.422 * [taylor]: Taking taylor expansion of N in N 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of 1.0 in N 0.422 * [backup-simplify]: Simplify 1.0 into 1.0 0.422 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [backup-simplify]: Simplify (* 0 1) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.424 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.424 * [backup-simplify]: Simplify (log 1) into 0 0.424 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.424 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.424 * [taylor]: Taking taylor expansion of N in N 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.424 * [taylor]: Taking taylor expansion of N in N 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [taylor]: Taking taylor expansion of 1.0 in N 0.424 * [backup-simplify]: Simplify 1.0 into 1.0 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (* 0 1) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.426 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.426 * [backup-simplify]: Simplify (log 1) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.432 * [backup-simplify]: Simplify 1.0 into 1.0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.439 * [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 0.439 * [backup-simplify]: Simplify -0.5 into -0.5 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.454 * [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 0.454 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.454 * [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)))) 0.454 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.454 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.454 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.454 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.454 * [taylor]: Taking taylor expansion of -1 in N 0.454 * [backup-simplify]: Simplify -1 into -1 0.454 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.454 * [taylor]: Taking taylor expansion of 1.0 in N 0.454 * [backup-simplify]: Simplify 1.0 into 1.0 0.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [backup-simplify]: Simplify (- 1) into -1 0.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.455 * [backup-simplify]: Simplify (* 0 -1) into 0 0.456 * [backup-simplify]: Simplify (* -1 0) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.457 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.457 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.457 * [backup-simplify]: Simplify (log 1) into 0 0.458 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.458 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.458 * [taylor]: Taking taylor expansion of -1 in N 0.458 * [backup-simplify]: Simplify -1 into -1 0.458 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.458 * [taylor]: Taking taylor expansion of 1.0 in N 0.458 * [backup-simplify]: Simplify 1.0 into 1.0 0.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [backup-simplify]: Simplify (- 1) into -1 0.458 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.459 * [backup-simplify]: Simplify (* 0 -1) into 0 0.459 * [backup-simplify]: Simplify (* -1 0) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.460 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.460 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.461 * [backup-simplify]: Simplify (log 1) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.464 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.468 * [backup-simplify]: Simplify -1.0 into -1.0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.477 * [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 0.477 * [backup-simplify]: Simplify -0.5 into -0.5 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.479 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.489 * [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 0.489 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.489 * [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)))) 0.489 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.489 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.489 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.489 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.489 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [taylor]: Taking taylor expansion of 1.0 in N 0.489 * [backup-simplify]: Simplify 1.0 into 1.0 0.489 * [taylor]: Taking taylor expansion of N in N 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.490 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.490 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.490 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of 1.0 in N 0.490 * [backup-simplify]: Simplify 1.0 into 1.0 0.490 * [taylor]: Taking taylor expansion of N in N 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.491 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.491 * [backup-simplify]: Simplify 1.0 into 1.0 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.497 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.497 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [backup-simplify]: Simplify 1.0 into 1.0 0.497 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [backup-simplify]: Simplify 1.0 into 1.0 0.498 * [backup-simplify]: Simplify (+ 1 0) into 1 0.498 * [backup-simplify]: Simplify (* 0 1) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.499 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.499 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [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 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.511 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.511 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.511 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.511 * [taylor]: Taking taylor expansion of -1 in N 0.511 * [backup-simplify]: Simplify -1 into -1 0.511 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.511 * [taylor]: Taking taylor expansion of N in N 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.511 * [taylor]: Taking taylor expansion of 1.0 in N 0.511 * [backup-simplify]: Simplify 1.0 into 1.0 0.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.511 * [taylor]: Taking taylor expansion of N in N 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.512 * [taylor]: Taking taylor expansion of -1 in N 0.512 * [backup-simplify]: Simplify -1 into -1 0.512 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.512 * [taylor]: Taking taylor expansion of 1.0 in N 0.512 * [backup-simplify]: Simplify 1.0 into 1.0 0.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [backup-simplify]: Simplify (- 1) into -1 0.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.513 * [backup-simplify]: Simplify (* 0 -1) into 0 0.513 * [backup-simplify]: Simplify (* -1 0) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.514 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.515 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.518 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.518 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.523 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.525 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [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 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.537 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.540 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.540 * * * [progress]: simplifying candidates 0.542 * [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) 0.542 * [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) 0.545 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.549 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.562 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.636 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.638 * * * [progress]: adding candidates to table 0.749 * * [progress]: iteration 3 / 4 0.749 * * * [progress]: picking best candidate 0.754 * * * * [pick]: Picked # 0.754 * * * [progress]: localizing error 0.763 * * * [progress]: generating rewritten candidates 0.763 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.769 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.775 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.781 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.785 * * * [progress]: generating series expansions 0.786 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.786 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.786 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.786 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.786 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.786 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.786 * [taylor]: Taking taylor expansion of N in N 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [taylor]: Taking taylor expansion of 1.0 in N 0.786 * [backup-simplify]: Simplify 1.0 into 1.0 0.786 * [taylor]: Taking taylor expansion of N in N 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.787 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.787 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.787 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.787 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.787 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.787 * [taylor]: Taking taylor expansion of N in N 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of 1.0 in N 0.787 * [backup-simplify]: Simplify 1.0 into 1.0 0.787 * [taylor]: Taking taylor expansion of N in N 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.788 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.788 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.789 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.789 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.789 * [backup-simplify]: Simplify (+ 1 0) into 1 0.790 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.793 * [backup-simplify]: Simplify 1.0 into 1.0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.799 * [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)) 0.799 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.800 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.800 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.800 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.800 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.800 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.800 * [taylor]: Taking taylor expansion of N in N 0.800 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.801 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.801 * [taylor]: Taking taylor expansion of N in N 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [taylor]: Taking taylor expansion of 1.0 in N 0.801 * [backup-simplify]: Simplify 1.0 into 1.0 0.801 * [backup-simplify]: Simplify (+ 1 0) into 1 0.801 * [backup-simplify]: Simplify (* 0 1) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.802 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.803 * [backup-simplify]: Simplify (log 1) into 0 0.803 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.803 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.803 * [taylor]: Taking taylor expansion of N in N 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.803 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.803 * [taylor]: Taking taylor expansion of N in N 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [taylor]: Taking taylor expansion of 1.0 in N 0.803 * [backup-simplify]: Simplify 1.0 into 1.0 0.803 * [backup-simplify]: Simplify (+ 1 0) into 1 0.804 * [backup-simplify]: Simplify (* 0 1) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.805 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.805 * [backup-simplify]: Simplify (log 1) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.815 * [backup-simplify]: Simplify 1.0 into 1.0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.822 * [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 0.822 * [backup-simplify]: Simplify -0.5 into -0.5 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.832 * [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 0.832 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.832 * [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)))) 0.832 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.832 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.832 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.832 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.832 * [taylor]: Taking taylor expansion of -1 in N 0.832 * [backup-simplify]: Simplify -1 into -1 0.832 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.832 * [taylor]: Taking taylor expansion of 1.0 in N 0.832 * [backup-simplify]: Simplify 1.0 into 1.0 0.832 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.832 * [taylor]: Taking taylor expansion of N in N 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [backup-simplify]: Simplify (- 1) into -1 0.833 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.833 * [backup-simplify]: Simplify (* 0 -1) into 0 0.834 * [backup-simplify]: Simplify (* -1 0) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (- 0) into 0 0.834 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.835 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.835 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.835 * [backup-simplify]: Simplify (log 1) into 0 0.835 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.835 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.835 * [taylor]: Taking taylor expansion of -1 in N 0.835 * [backup-simplify]: Simplify -1 into -1 0.835 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.835 * [taylor]: Taking taylor expansion of N in N 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.836 * [taylor]: Taking taylor expansion of 1.0 in N 0.836 * [backup-simplify]: Simplify 1.0 into 1.0 0.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.836 * [taylor]: Taking taylor expansion of N in N 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (/ 1 1) into 1 0.836 * [backup-simplify]: Simplify (- 1) into -1 0.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.836 * [backup-simplify]: Simplify (* 0 -1) into 0 0.837 * [backup-simplify]: Simplify (* -1 0) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.838 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.839 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.839 * [backup-simplify]: Simplify (log 1) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (- 0) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.843 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.847 * [backup-simplify]: Simplify -1.0 into -1.0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.856 * [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 0.856 * [backup-simplify]: Simplify -0.5 into -0.5 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (- 0) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.867 * [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 0.867 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.868 * [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)))) 0.868 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.868 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.868 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.868 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.868 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.868 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.868 * [taylor]: Taking taylor expansion of N in N 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [taylor]: Taking taylor expansion of 1.0 in N 0.868 * [backup-simplify]: Simplify 1.0 into 1.0 0.868 * [taylor]: Taking taylor expansion of N in N 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.869 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.869 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.869 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.869 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.869 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.869 * [taylor]: Taking taylor expansion of N in N 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of 1.0 in N 0.869 * [backup-simplify]: Simplify 1.0 into 1.0 0.869 * [taylor]: Taking taylor expansion of N in N 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.869 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.870 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.870 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.871 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.871 * [backup-simplify]: Simplify (+ 1 0) into 1 0.871 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.874 * [backup-simplify]: Simplify 1.0 into 1.0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.880 * [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)) 0.880 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.881 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.882 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.882 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.882 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.882 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.882 * [taylor]: Taking taylor expansion of N in N 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.882 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.882 * [taylor]: Taking taylor expansion of N in N 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (/ 1 1) into 1 0.882 * [taylor]: Taking taylor expansion of 1.0 in N 0.882 * [backup-simplify]: Simplify 1.0 into 1.0 0.882 * [backup-simplify]: Simplify (+ 1 0) into 1 0.883 * [backup-simplify]: Simplify (* 0 1) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.884 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.884 * [backup-simplify]: Simplify (log 1) into 0 0.884 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.884 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.884 * [taylor]: Taking taylor expansion of N in N 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (/ 1 1) into 1 0.884 * [taylor]: Taking taylor expansion of 1.0 in N 0.884 * [backup-simplify]: Simplify 1.0 into 1.0 0.884 * [backup-simplify]: Simplify (+ 1 0) into 1 0.885 * [backup-simplify]: Simplify (* 0 1) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.886 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.886 * [backup-simplify]: Simplify (log 1) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.892 * [backup-simplify]: Simplify 1.0 into 1.0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.905 * [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 0.905 * [backup-simplify]: Simplify -0.5 into -0.5 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.915 * [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 0.915 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.915 * [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)))) 0.915 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.915 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.915 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.915 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.915 * [taylor]: Taking taylor expansion of -1 in N 0.915 * [backup-simplify]: Simplify -1 into -1 0.915 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.915 * [taylor]: Taking taylor expansion of 1.0 in N 0.915 * [backup-simplify]: Simplify 1.0 into 1.0 0.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (/ 1 1) into 1 0.916 * [backup-simplify]: Simplify (- 1) into -1 0.916 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.916 * [backup-simplify]: Simplify (* 0 -1) into 0 0.917 * [backup-simplify]: Simplify (* -1 0) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.918 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.918 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.918 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.919 * [backup-simplify]: Simplify (log 1) into 0 0.919 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.919 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.919 * [taylor]: Taking taylor expansion of -1 in N 0.919 * [backup-simplify]: Simplify -1 into -1 0.919 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.919 * [taylor]: Taking taylor expansion of N in N 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.919 * [taylor]: Taking taylor expansion of 1.0 in N 0.919 * [backup-simplify]: Simplify 1.0 into 1.0 0.919 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.919 * [taylor]: Taking taylor expansion of N in N 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (/ 1 1) into 1 0.919 * [backup-simplify]: Simplify (- 1) into -1 0.919 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.920 * [backup-simplify]: Simplify (* 0 -1) into 0 0.920 * [backup-simplify]: Simplify (* -1 0) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (- 0) into 0 0.921 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.921 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.922 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.922 * [backup-simplify]: Simplify (log 1) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (- 0) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.925 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.929 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.929 * [backup-simplify]: Simplify -1.0 into -1.0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (- 0) into 0 0.930 * [backup-simplify]: Simplify (+ 0 0) into 0 0.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.932 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.938 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.938 * [backup-simplify]: Simplify -0.5 into -0.5 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (- 0) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.950 * [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 0.950 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.951 * [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)))) 0.951 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.951 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.951 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.951 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.951 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.951 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [taylor]: Taking taylor expansion of 1.0 in N 0.951 * [backup-simplify]: Simplify 1.0 into 1.0 0.951 * [taylor]: Taking taylor expansion of N in N 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.952 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.952 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.952 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.952 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.952 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [taylor]: Taking taylor expansion of 1.0 in N 0.952 * [backup-simplify]: Simplify 1.0 into 1.0 0.952 * [taylor]: Taking taylor expansion of N in N 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.953 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.953 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.954 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.954 * [backup-simplify]: Simplify (+ 1 0) into 1 0.954 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.957 * [backup-simplify]: Simplify 1.0 into 1.0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.963 * [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)) 0.964 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.965 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.965 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.965 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.965 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.965 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.965 * [taylor]: Taking taylor expansion of N in N 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.965 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.965 * [taylor]: Taking taylor expansion of N in N 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [taylor]: Taking taylor expansion of 1.0 in N 0.966 * [backup-simplify]: Simplify 1.0 into 1.0 0.966 * [backup-simplify]: Simplify (+ 1 0) into 1 0.966 * [backup-simplify]: Simplify (* 0 1) into 0 0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.967 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.967 * [backup-simplify]: Simplify (log 1) into 0 0.967 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.967 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.967 * [taylor]: Taking taylor expansion of N in N 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.967 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.967 * [taylor]: Taking taylor expansion of N in N 0.967 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (/ 1 1) into 1 0.968 * [taylor]: Taking taylor expansion of 1.0 in N 0.968 * [backup-simplify]: Simplify 1.0 into 1.0 0.968 * [backup-simplify]: Simplify (+ 1 0) into 1 0.968 * [backup-simplify]: Simplify (* 0 1) into 0 0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.969 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.969 * [backup-simplify]: Simplify (log 1) into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.975 * [backup-simplify]: Simplify 1.0 into 1.0 0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.988 * [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 0.988 * [backup-simplify]: Simplify -0.5 into -0.5 0.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.998 * [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 0.998 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.999 * [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)))) 0.999 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.999 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.999 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.999 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.999 * [taylor]: Taking taylor expansion of -1 in N 0.999 * [backup-simplify]: Simplify -1 into -1 0.999 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.999 * [taylor]: Taking taylor expansion of N in N 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.999 * [taylor]: Taking taylor expansion of 1.0 in N 0.999 * [backup-simplify]: Simplify 1.0 into 1.0 0.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.999 * [taylor]: Taking taylor expansion of N in N 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [backup-simplify]: Simplify (- 1) into -1 1.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.000 * [backup-simplify]: Simplify (* 0 -1) into 0 1.000 * [backup-simplify]: Simplify (* -1 0) into 0 1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (- 0) into 0 1.001 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.001 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.002 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.002 * [backup-simplify]: Simplify (log 1) into 0 1.002 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.002 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.002 * [taylor]: Taking taylor expansion of -1 in N 1.002 * [backup-simplify]: Simplify -1 into -1 1.002 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.002 * [taylor]: Taking taylor expansion of N in N 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.002 * [taylor]: Taking taylor expansion of 1.0 in N 1.002 * [backup-simplify]: Simplify 1.0 into 1.0 1.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.002 * [taylor]: Taking taylor expansion of N in N 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.003 * [backup-simplify]: Simplify (- 1) into -1 1.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.003 * [backup-simplify]: Simplify (* 0 -1) into 0 1.003 * [backup-simplify]: Simplify (* -1 0) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- 0) into 0 1.004 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.005 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.005 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.005 * [backup-simplify]: Simplify (log 1) into 0 1.005 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (- 0) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.009 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.013 * [backup-simplify]: Simplify -1.0 into -1.0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (- 0) into 0 1.014 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.015 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.021 * [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 1.021 * [backup-simplify]: Simplify -0.5 into -0.5 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.033 * [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 1.034 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.034 * [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)))) 1.034 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.034 * [backup-simplify]: Simplify (cbrt (log (/ (+ N 1.0) N))) into (pow (log (/ (+ N 1.0) N)) 1/3) 1.034 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in (N) around 0 1.034 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 1.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 1.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 1.034 * [taylor]: Taking taylor expansion of 1/3 in N 1.034 * [backup-simplify]: Simplify 1/3 into 1/3 1.034 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.034 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.034 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.034 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.034 * [taylor]: Taking taylor expansion of N in N 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [taylor]: Taking taylor expansion of 1.0 in N 1.034 * [backup-simplify]: Simplify 1.0 into 1.0 1.034 * [taylor]: Taking taylor expansion of N in N 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.035 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.035 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.036 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.036 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.036 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N))) 1.037 * [backup-simplify]: Simplify (* 1/3 (log (- (log 1.0) (log N)))) into (* 1/3 (log (- (log 1.0) (log N)))) 1.037 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log 1.0) (log N))))) into (pow (- (log 1.0) (log N)) 1/3) 1.037 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 1.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 1.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 1.037 * [taylor]: Taking taylor expansion of 1/3 in N 1.037 * [backup-simplify]: Simplify 1/3 into 1/3 1.037 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.037 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.037 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.037 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.037 * [taylor]: Taking taylor expansion of N in N 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.037 * [taylor]: Taking taylor expansion of 1.0 in N 1.037 * [backup-simplify]: Simplify 1.0 into 1.0 1.037 * [taylor]: Taking taylor expansion of N in N 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.038 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.038 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.038 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.039 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.039 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.039 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N))) 1.040 * [backup-simplify]: Simplify (* 1/3 (log (- (log 1.0) (log N)))) into (* 1/3 (log (- (log 1.0) (log N)))) 1.040 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log 1.0) (log N))))) into (pow (- (log 1.0) (log N)) 1/3) 1.040 * [backup-simplify]: Simplify (pow (- (log 1.0) (log N)) 1/3) into (pow (- (log 1.0) (log N)) 1/3) 1.041 * [backup-simplify]: Simplify (+ 1 0) into 1 1.041 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.045 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log 1.0) (log N)) 1)))) 1) into (/ 1.0 (- (log 1.0) (log N))) 1.047 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1.0 (- (log 1.0) (log N)))) (* 0 (log (- (log 1.0) (log N))))) into (* 0.3333333333333333 (/ 1 (- (log 1.0) (log N)))) 1.047 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log 1.0) (log N))))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (- (log 1.0) (log N)))) 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) 1.048 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) 1.049 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.054 * [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)) 1.055 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.059 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log 1.0) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (pow 1.0 2))) 1)) (pow (- (log 1.0) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 1.060 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2)))))) (+ (* 0 (/ 1.0 (- (log 1.0) (log N)))) (* 0 (log (- (log 1.0) (log N)))))) into (- (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.16666666666666666 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 1.062 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log 1.0) (log N))))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (- (log 1.0) (log N)))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.16666666666666666 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) 1.064 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) into (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) 1.066 * [backup-simplify]: Simplify (+ (* (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) (pow N 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) N) (pow (- (log 1.0) (log N)) 1/3))) into (- (+ (pow (- (log 1.0) (log N)) 1/3) (* 0.3333333333333333 (* N (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow N 2) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3))) (* 0.1111111111111111 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 5)) 1/3))))) 1.066 * [backup-simplify]: Simplify (cbrt (log (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) 1.066 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in (N) around 0 1.066 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 1.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.066 * [taylor]: Taking taylor expansion of 1/3 in N 1.066 * [backup-simplify]: Simplify 1/3 into 1/3 1.066 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.066 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.066 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.066 * [taylor]: Taking taylor expansion of N in N 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.066 * [taylor]: Taking taylor expansion of N in N 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [taylor]: Taking taylor expansion of 1.0 in N 1.067 * [backup-simplify]: Simplify 1.0 into 1.0 1.067 * [backup-simplify]: Simplify (+ 1 0) into 1 1.067 * [backup-simplify]: Simplify (* 0 1) into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.074 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.074 * [backup-simplify]: Simplify (log 1) into 0 1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.080 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.081 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.081 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 1.081 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.081 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 1.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.081 * [taylor]: Taking taylor expansion of 1/3 in N 1.081 * [backup-simplify]: Simplify 1/3 into 1/3 1.081 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.081 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.081 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.082 * [taylor]: Taking taylor expansion of N in N 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (/ 1 1) into 1 1.082 * [taylor]: Taking taylor expansion of 1.0 in N 1.082 * [backup-simplify]: Simplify 1.0 into 1.0 1.082 * [backup-simplify]: Simplify (+ 1 0) into 1 1.082 * [backup-simplify]: Simplify (* 0 1) into 0 1.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.083 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.084 * [backup-simplify]: Simplify (log 1) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.090 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.090 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.090 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 1.091 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.091 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 1.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.098 * [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 1.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1.0 1)))) 1) into -0.5 1.102 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.103 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 1.105 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 1.105 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 1.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.115 * [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 1.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 1.124 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 1.127 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1.134 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 1.136 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 1.139 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) 1.139 * [backup-simplify]: Simplify (cbrt (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) 1.139 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in (N) around 0 1.139 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 1.139 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.139 * [taylor]: Taking taylor expansion of 1/3 in N 1.139 * [backup-simplify]: Simplify 1/3 into 1/3 1.139 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.139 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.139 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.139 * [taylor]: Taking taylor expansion of -1 in N 1.139 * [backup-simplify]: Simplify -1 into -1 1.139 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.139 * [taylor]: Taking taylor expansion of N in N 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 1 into 1 1.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.140 * [taylor]: Taking taylor expansion of 1.0 in N 1.140 * [backup-simplify]: Simplify 1.0 into 1.0 1.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.140 * [taylor]: Taking taylor expansion of N in N 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (/ 1 1) into 1 1.140 * [backup-simplify]: Simplify (- 1) into -1 1.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.141 * [backup-simplify]: Simplify (* 0 -1) into 0 1.141 * [backup-simplify]: Simplify (* -1 0) into 0 1.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.141 * [backup-simplify]: Simplify (- 0) into 0 1.142 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.142 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.142 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.143 * [backup-simplify]: Simplify (log 1) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (- 0) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.146 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.151 * [backup-simplify]: Simplify (log -1.0) into (log -1.0) 1.151 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 1.151 * [backup-simplify]: Simplify (* 1/3 (+ (log -1.0) (log N))) into (* 1/3 (+ (log -1.0) (log N))) 1.152 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1.0) (log N)))) into (exp (* 1/3 (+ (log -1.0) (log N)))) 1.152 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.152 * [taylor]: Taking taylor expansion of 1/3 in N 1.152 * [backup-simplify]: Simplify 1/3 into 1/3 1.152 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.152 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.152 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.152 * [taylor]: Taking taylor expansion of -1 in N 1.152 * [backup-simplify]: Simplify -1 into -1 1.152 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.152 * [taylor]: Taking taylor expansion of 1.0 in N 1.152 * [backup-simplify]: Simplify 1.0 into 1.0 1.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.153 * [backup-simplify]: Simplify (- 1) into -1 1.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.153 * [backup-simplify]: Simplify (* 0 -1) into 0 1.153 * [backup-simplify]: Simplify (* -1 0) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify (- 0) into 0 1.154 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.155 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.155 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.155 * [backup-simplify]: Simplify (log 1) into 0 1.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (- 0) into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.164 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.169 * [backup-simplify]: Simplify (log -1.0) into (log -1.0) 1.169 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 1.170 * [backup-simplify]: Simplify (* 1/3 (+ (log -1.0) (log N))) into (* 1/3 (+ (log -1.0) (log N))) 1.170 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1.0) (log N)))) into (exp (* 1/3 (+ (log -1.0) (log N)))) 1.170 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1.0) (log N)))) into (exp (* 1/3 (+ (log -1.0) (log N)))) 1.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.179 * [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 1.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow -1.0 1)))) 1) into 0.5 1.183 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 1.183 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log -1.0) (log N)))) into 0.16666666666666666 1.185 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log N))))) 1.185 * [backup-simplify]: Simplify (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log N))))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log N))))) 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (- 0) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.197 * [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 1.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow -1.0 2))) (* 1 (/ (* 1 (pow (* 2 -0.3333333333333333) 1)) (pow -1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) 1.206 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 1.209 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log -1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow -1.0 2)))) 1.216 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow -1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log -1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) 1.217 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) into (* (exp (* 1/3 (+ (log -1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) 1.220 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log -1.0) (log (/ 1 (- N)))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (+ (log -1.0) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (pow N 2)))) (+ (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) N)) (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* (pow N 2) (pow -1.0 2)))))) 1.220 * * * [progress]: simplifying candidates 1.222 * [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 (* (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 (* (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 (cbrt (log (/ (+ N 1.0) N)))) (exp (cbrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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))) (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)))) (- (+ (pow (- (log 1.0) (log N)) 1/3) (* 0.3333333333333333 (* N (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow N 2) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3))) (* 0.1111111111111111 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 5)) 1/3))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) (- (+ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (pow N 2)))) (+ (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) N)) (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* (pow N 2) (pow -1.0 2)))))) 1.223 * [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 (* (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 (* (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 (cbrt (log (/ (+ h0 h1) h0)))) (exp (cbrt (log (/ (+ h0 h1) h0)))) (cbrt 1) (cbrt (log (/ (+ h0 h1) h0))) (cbrt (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0))))) (cbrt (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (sqrt (log (/ (+ h0 h1) h0)))) (cbrt (sqrt (log (/ (+ h0 h1) h0)))) (cbrt 1) (cbrt (log (/ (+ h0 h1) h0))) (* (cbrt (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (cbrt (log (/ (+ h0 h1) h0))))) (cbrt (cbrt (log (/ (+ h0 h1) h0)))) (* (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0)))) (sqrt (cbrt (log (/ (+ h0 h1) h0)))) (sqrt (cbrt (log (/ (+ h0 h1) h0)))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* 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))) (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)))) (- (+ (pow (- (log h1) (log h0)) 1/3) (* h3 (* h0 (pow (/ 1 (pow (- (log h1) (log h0)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow h0 2) (pow h1 2)) (pow (/ 1 (pow (- (log h1) (log h0)) 2)) 1/3))) (* h4 (* (pow h0 2) (pow (/ 1 (pow (- (log h1) (log h0)) 5)) 1/3))))) (- (+ (exp (* 1/3 (+ (log h1) (log (/ 1 h0))))) (* h7 (/ (exp (* 1/3 (+ (log h1) (log (/ 1 h0))))) (pow h0 2)))) (+ (* h6 (/ (exp (* 1/3 (+ (log h1) (log (/ 1 h0))))) (* (pow h0 2) (pow h1 2)))) (* h5 (/ (exp (* 1/3 (+ (log h1) (log (/ 1 h0))))) h0)))) (- (+ (exp (* 1/3 (+ (log h8) (log (/ -1 h0))))) (* h7 (/ (exp (* 1/3 (+ (log h8) (log (/ -1 h0))))) (pow h0 2)))) (+ (* h5 (/ (exp (* 1/3 (+ (log h8) (log (/ -1 h0))))) h0)) (* h6 (/ (exp (* 1/3 (+ (log h8) (log (/ -1 h0))))) (* (pow h0 2) (pow h8 2)))))) 1.228 * * [simplify]: iteration 0 : 333 enodes (cost 821 ) 1.232 * * [simplify]: iteration 1 : 1015 enodes (cost 770 ) 1.249 * * [simplify]: iteration 2 : 4428 enodes (cost 701 ) 1.336 * * [simplify]: iteration 3 : 5002 enodes (cost 699 ) 1.340 * * * [progress]: adding candidates to table 1.602 * * [progress]: iteration 4 / 4 1.602 * * * [progress]: picking best candidate 1.612 * * * * [pick]: Picked # 1.612 * * * [progress]: localizing error 1.628 * * * [progress]: generating rewritten candidates 1.628 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 1.634 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.641 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.646 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.656 * * * [progress]: generating series expansions 1.656 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 1.656 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.656 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.656 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.656 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.656 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.656 * [taylor]: Taking taylor expansion of N in N 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [taylor]: Taking taylor expansion of 1.0 in N 1.656 * [backup-simplify]: Simplify 1.0 into 1.0 1.656 * [taylor]: Taking taylor expansion of N in N 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.657 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.657 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.657 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.657 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.657 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.657 * [taylor]: Taking taylor expansion of N in N 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [taylor]: Taking taylor expansion of 1.0 in N 1.658 * [backup-simplify]: Simplify 1.0 into 1.0 1.658 * [taylor]: Taking taylor expansion of N in N 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.658 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.658 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.659 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.659 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.660 * [backup-simplify]: Simplify (+ 1 0) into 1 1.660 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.663 * [backup-simplify]: Simplify 1.0 into 1.0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.669 * [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)) 1.670 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.671 * [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))) 1.671 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.671 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.671 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.671 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.671 * [taylor]: Taking taylor expansion of N in N 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.671 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.671 * [taylor]: Taking taylor expansion of N in N 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (/ 1 1) into 1 1.671 * [taylor]: Taking taylor expansion of 1.0 in N 1.671 * [backup-simplify]: Simplify 1.0 into 1.0 1.672 * [backup-simplify]: Simplify (+ 1 0) into 1 1.672 * [backup-simplify]: Simplify (* 0 1) into 0 1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.673 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.673 * [backup-simplify]: Simplify (log 1) into 0 1.673 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.673 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [taylor]: Taking taylor expansion of 1.0 in N 1.674 * [backup-simplify]: Simplify 1.0 into 1.0 1.674 * [backup-simplify]: Simplify (+ 1 0) into 1 1.674 * [backup-simplify]: Simplify (* 0 1) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.675 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.675 * [backup-simplify]: Simplify (log 1) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.682 * [backup-simplify]: Simplify 1.0 into 1.0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.690 * [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 1.690 * [backup-simplify]: Simplify -0.5 into -0.5 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.705 * [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 1.705 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.706 * [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)))) 1.706 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.706 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.706 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.706 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.706 * [taylor]: Taking taylor expansion of -1 in N 1.706 * [backup-simplify]: Simplify -1 into -1 1.706 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.706 * [taylor]: Taking taylor expansion of N in N 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.706 * [taylor]: Taking taylor expansion of 1.0 in N 1.706 * [backup-simplify]: Simplify 1.0 into 1.0 1.706 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.706 * [taylor]: Taking taylor expansion of N in N 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (/ 1 1) into 1 1.707 * [backup-simplify]: Simplify (- 1) into -1 1.707 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.707 * [backup-simplify]: Simplify (* 0 -1) into 0 1.707 * [backup-simplify]: Simplify (* -1 0) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (- 0) into 0 1.708 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.709 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.709 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.709 * [backup-simplify]: Simplify (log 1) into 0 1.709 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.709 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.709 * [taylor]: Taking taylor expansion of -1 in N 1.709 * [backup-simplify]: Simplify -1 into -1 1.709 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.709 * [taylor]: Taking taylor expansion of N in N 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.709 * [taylor]: Taking taylor expansion of 1.0 in N 1.709 * [backup-simplify]: Simplify 1.0 into 1.0 1.709 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.710 * [taylor]: Taking taylor expansion of N in N 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (/ 1 1) into 1 1.710 * [backup-simplify]: Simplify (- 1) into -1 1.710 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.710 * [backup-simplify]: Simplify (* 0 -1) into 0 1.711 * [backup-simplify]: Simplify (* -1 0) into 0 1.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.711 * [backup-simplify]: Simplify (- 0) into 0 1.712 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.712 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.712 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.713 * [backup-simplify]: Simplify (log 1) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.716 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.720 * [backup-simplify]: Simplify -1.0 into -1.0 1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (- 0) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.723 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.729 * [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 1.729 * [backup-simplify]: Simplify -0.5 into -0.5 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (- 0) into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.732 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.742 * [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 1.742 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.742 * [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)))) 1.742 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.742 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.742 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.742 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.742 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.742 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.742 * [taylor]: Taking taylor expansion of N in N 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.742 * [taylor]: Taking taylor expansion of 1.0 in N 1.742 * [backup-simplify]: Simplify 1.0 into 1.0 1.742 * [taylor]: Taking taylor expansion of N in N 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.743 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.743 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.743 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.743 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.743 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.743 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.743 * [taylor]: Taking taylor expansion of N in N 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.743 * [taylor]: Taking taylor expansion of 1.0 in N 1.743 * [backup-simplify]: Simplify 1.0 into 1.0 1.743 * [taylor]: Taking taylor expansion of N in N 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.744 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.744 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.745 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.745 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.745 * [backup-simplify]: Simplify (+ 1 0) into 1 1.746 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.749 * [backup-simplify]: Simplify 1.0 into 1.0 1.749 * [backup-simplify]: Simplify (+ 0 0) into 0 1.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.755 * [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)) 1.755 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.756 * [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))) 1.757 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.757 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.757 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.757 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.757 * [taylor]: Taking taylor expansion of N in N 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.757 * [taylor]: Taking taylor expansion of N in N 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (/ 1 1) into 1 1.757 * [taylor]: Taking taylor expansion of 1.0 in N 1.757 * [backup-simplify]: Simplify 1.0 into 1.0 1.757 * [backup-simplify]: Simplify (+ 1 0) into 1 1.758 * [backup-simplify]: Simplify (* 0 1) into 0 1.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.759 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.759 * [backup-simplify]: Simplify (log 1) into 0 1.759 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.759 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.759 * [taylor]: Taking taylor expansion of N in N 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 1 into 1 1.759 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.759 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.759 * [taylor]: Taking taylor expansion of N in N 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 1 into 1 1.759 * [backup-simplify]: Simplify (/ 1 1) into 1 1.759 * [taylor]: Taking taylor expansion of 1.0 in N 1.759 * [backup-simplify]: Simplify 1.0 into 1.0 1.759 * [backup-simplify]: Simplify (+ 1 0) into 1 1.760 * [backup-simplify]: Simplify (* 0 1) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.761 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.761 * [backup-simplify]: Simplify (log 1) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.767 * [backup-simplify]: Simplify 1.0 into 1.0 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.774 * [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 1.774 * [backup-simplify]: Simplify -0.5 into -0.5 1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.790 * [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 1.790 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.790 * [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)))) 1.791 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.791 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.791 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.791 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.791 * [taylor]: Taking taylor expansion of -1 in N 1.791 * [backup-simplify]: Simplify -1 into -1 1.791 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.791 * [taylor]: Taking taylor expansion of 1.0 in N 1.791 * [backup-simplify]: Simplify 1.0 into 1.0 1.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.791 * [taylor]: Taking taylor expansion of N in N 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [backup-simplify]: Simplify (- 1) into -1 1.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.792 * [backup-simplify]: Simplify (* 0 -1) into 0 1.792 * [backup-simplify]: Simplify (* -1 0) into 0 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (- 0) into 0 1.793 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.793 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.794 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.794 * [backup-simplify]: Simplify (log 1) into 0 1.794 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.794 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.794 * [taylor]: Taking taylor expansion of -1 in N 1.794 * [backup-simplify]: Simplify -1 into -1 1.794 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.794 * [taylor]: Taking taylor expansion of N in N 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.794 * [taylor]: Taking taylor expansion of 1.0 in N 1.794 * [backup-simplify]: Simplify 1.0 into 1.0 1.794 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.794 * [taylor]: Taking taylor expansion of N in N 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.795 * [backup-simplify]: Simplify (- 1) into -1 1.795 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.795 * [backup-simplify]: Simplify (* 0 -1) into 0 1.795 * [backup-simplify]: Simplify (* -1 0) into 0 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.796 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.797 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.797 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.797 * [backup-simplify]: Simplify (log 1) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.801 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.805 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.805 * [backup-simplify]: Simplify -1.0 into -1.0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (- 0) into 0 1.806 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.814 * [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 1.814 * [backup-simplify]: Simplify -0.5 into -0.5 1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.816 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.826 * [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 1.826 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.827 * [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)))) 1.827 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.827 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.827 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.827 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.827 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.827 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.827 * [taylor]: Taking taylor expansion of N in N 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [taylor]: Taking taylor expansion of 1.0 in N 1.827 * [backup-simplify]: Simplify 1.0 into 1.0 1.827 * [taylor]: Taking taylor expansion of N in N 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.828 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.828 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.828 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.828 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.828 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [taylor]: Taking taylor expansion of 1.0 in N 1.828 * [backup-simplify]: Simplify 1.0 into 1.0 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.829 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.829 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.829 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.830 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.830 * [backup-simplify]: Simplify (+ 1 0) into 1 1.830 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.833 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.833 * [backup-simplify]: Simplify 1.0 into 1.0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.839 * [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)) 1.840 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.841 * [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))) 1.841 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.841 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.841 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.841 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.841 * [taylor]: Taking taylor expansion of N in N 1.841 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [taylor]: Taking taylor expansion of 1.0 in N 1.842 * [backup-simplify]: Simplify 1.0 into 1.0 1.842 * [backup-simplify]: Simplify (+ 1 0) into 1 1.842 * [backup-simplify]: Simplify (* 0 1) into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.843 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.844 * [backup-simplify]: Simplify (log 1) into 0 1.844 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.844 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.844 * [taylor]: Taking taylor expansion of N in N 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.844 * [taylor]: Taking taylor expansion of N in N 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of 1.0 in N 1.844 * [backup-simplify]: Simplify 1.0 into 1.0 1.844 * [backup-simplify]: Simplify (+ 1 0) into 1 1.845 * [backup-simplify]: Simplify (* 0 1) into 0 1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.846 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.846 * [backup-simplify]: Simplify (log 1) into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.851 * [backup-simplify]: Simplify 1.0 into 1.0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.859 * [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 1.859 * [backup-simplify]: Simplify -0.5 into -0.5 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.869 * [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 1.869 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.869 * [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)))) 1.870 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.870 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.870 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.870 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.870 * [taylor]: Taking taylor expansion of -1 in N 1.870 * [backup-simplify]: Simplify -1 into -1 1.870 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.870 * [taylor]: Taking taylor expansion of N in N 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.870 * [taylor]: Taking taylor expansion of 1.0 in N 1.870 * [backup-simplify]: Simplify 1.0 into 1.0 1.870 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.870 * [taylor]: Taking taylor expansion of N in N 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (/ 1 1) into 1 1.875 * [backup-simplify]: Simplify (- 1) into -1 1.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.876 * [backup-simplify]: Simplify (* 0 -1) into 0 1.876 * [backup-simplify]: Simplify (* -1 0) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (- 0) into 0 1.877 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.878 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.878 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.878 * [backup-simplify]: Simplify (log 1) into 0 1.878 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.878 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.878 * [taylor]: Taking taylor expansion of -1 in N 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.878 * [taylor]: Taking taylor expansion of N in N 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.878 * [taylor]: Taking taylor expansion of 1.0 in N 1.878 * [backup-simplify]: Simplify 1.0 into 1.0 1.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.878 * [taylor]: Taking taylor expansion of N in N 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [backup-simplify]: Simplify (- 1) into -1 1.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.879 * [backup-simplify]: Simplify (* 0 -1) into 0 1.880 * [backup-simplify]: Simplify (* -1 0) into 0 1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.880 * [backup-simplify]: Simplify (- 0) into 0 1.880 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.881 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.881 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.881 * [backup-simplify]: Simplify (log 1) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.882 * [backup-simplify]: Simplify (- 0) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.885 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.889 * [backup-simplify]: Simplify -1.0 into -1.0 1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (- 0) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.898 * [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 1.898 * [backup-simplify]: Simplify -0.5 into -0.5 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.911 * [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 1.911 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.911 * [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)))) 1.911 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.911 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.911 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.911 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.911 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.911 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.911 * [taylor]: Taking taylor expansion of N in N 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of 1.0 in N 1.912 * [backup-simplify]: Simplify 1.0 into 1.0 1.912 * [taylor]: Taking taylor expansion of N in N 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.912 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.912 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.912 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.912 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.912 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.912 * [taylor]: Taking taylor expansion of N in N 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.913 * [taylor]: Taking taylor expansion of 1.0 in N 1.913 * [backup-simplify]: Simplify 1.0 into 1.0 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.913 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.913 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.914 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.914 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.914 * [backup-simplify]: Simplify (+ 1 0) into 1 1.915 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.918 * [backup-simplify]: Simplify 1.0 into 1.0 1.918 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.924 * [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)) 1.924 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.926 * [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))) 1.926 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.926 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.926 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.926 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.926 * [taylor]: Taking taylor expansion of N in N 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.926 * [taylor]: Taking taylor expansion of N in N 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ 1 1) into 1 1.926 * [taylor]: Taking taylor expansion of 1.0 in N 1.926 * [backup-simplify]: Simplify 1.0 into 1.0 1.926 * [backup-simplify]: Simplify (+ 1 0) into 1 1.927 * [backup-simplify]: Simplify (* 0 1) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.928 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.928 * [backup-simplify]: Simplify (log 1) into 0 1.928 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.928 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.928 * [taylor]: Taking taylor expansion of 1.0 in N 1.928 * [backup-simplify]: Simplify 1.0 into 1.0 1.929 * [backup-simplify]: Simplify (+ 1 0) into 1 1.929 * [backup-simplify]: Simplify (* 0 1) into 0 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.930 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.930 * [backup-simplify]: Simplify (log 1) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.936 * [backup-simplify]: Simplify 1.0 into 1.0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.943 * [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 1.943 * [backup-simplify]: Simplify -0.5 into -0.5 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.953 * [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 1.953 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.954 * [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)))) 1.954 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.954 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.954 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.954 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.954 * [taylor]: Taking taylor expansion of -1 in N 1.954 * [backup-simplify]: Simplify -1 into -1 1.954 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.954 * [taylor]: Taking taylor expansion of N in N 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.954 * [taylor]: Taking taylor expansion of 1.0 in N 1.954 * [backup-simplify]: Simplify 1.0 into 1.0 1.954 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.954 * [taylor]: Taking taylor expansion of N in N 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [backup-simplify]: Simplify (- 1) into -1 1.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.955 * [backup-simplify]: Simplify (* 0 -1) into 0 1.955 * [backup-simplify]: Simplify (* -1 0) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.957 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.963 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.963 * [backup-simplify]: Simplify (log 1) into 0 1.963 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.963 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.963 * [taylor]: Taking taylor expansion of -1 in N 1.963 * [backup-simplify]: Simplify -1 into -1 1.963 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.963 * [taylor]: Taking taylor expansion of N in N 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.963 * [taylor]: Taking taylor expansion of 1.0 in N 1.963 * [backup-simplify]: Simplify 1.0 into 1.0 1.963 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.963 * [taylor]: Taking taylor expansion of N in N 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.964 * [backup-simplify]: Simplify (- 1) into -1 1.964 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.964 * [backup-simplify]: Simplify (* 0 -1) into 0 1.964 * [backup-simplify]: Simplify (* -1 0) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (- 0) into 0 1.965 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.966 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.966 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.966 * [backup-simplify]: Simplify (log 1) into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.970 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.974 * [backup-simplify]: Simplify -1.0 into -1.0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- 0) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.983 * [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 1.983 * [backup-simplify]: Simplify -0.5 into -0.5 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.995 * [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 1.995 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.996 * [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)))) 1.996 * * * [progress]: simplifying candidates 1.998 * [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 (* (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 (* (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 (* (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) 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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))) (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)))) 2.002 * * [simplify]: iteration 0 : 167 enodes (cost 836 ) 2.005 * * [simplify]: iteration 1 : 455 enodes (cost 784 ) 2.013 * * [simplify]: iteration 2 : 1964 enodes (cost 736 ) 2.054 * * [simplify]: iteration 3 : 5002 enodes (cost 736 ) 2.057 * * * [progress]: adding candidates to table 2.436 * [progress]: [Phase 3 of 3] Extracting. 2.436 * * [regime]: Finding splitpoints for: (# # # # #) 2.438 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.438 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.471 * * * [regime]: Found split indices: #