5.061 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.050 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.052 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.053 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.054 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.084 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.085 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.085 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.085 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.085 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.085 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.086 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.086 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of 1.0 in N 0.086 * [backup-simplify]: Simplify 1.0 into 1.0 0.086 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.086 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.086 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.090 * [backup-simplify]: Simplify 1.0 into 1.0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [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)) 0.096 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.097 * [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)))) 0.097 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.097 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [backup-simplify]: Simplify 1.0 into 1.0 0.097 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [backup-simplify]: Simplify (log 1) into 0 0.098 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [backup-simplify]: Simplify 1.0 into 1.0 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [backup-simplify]: Simplify (log 1) into 0 0.099 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.099 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.103 * [backup-simplify]: Simplify 1.0 into 1.0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [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 0.109 * [backup-simplify]: Simplify -0.5 into -0.5 0.109 * [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)))) 0.109 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.109 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.109 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.110 * [taylor]: Taking taylor expansion of 1.0 in N 0.110 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (- 1) into -1 0.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.111 * [backup-simplify]: Simplify (log -1) into (log -1) 0.111 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.111 * [taylor]: Taking taylor expansion of 1.0 in N 0.111 * [backup-simplify]: Simplify 1.0 into 1.0 0.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (- 1) into -1 0.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.112 * [backup-simplify]: Simplify (log -1) into (log -1) 0.112 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.113 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.120 * [backup-simplify]: Simplify -1.0 into -1.0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.127 * [backup-simplify]: Simplify -0.5 into -0.5 0.127 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.127 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.128 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.128 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.128 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.128 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.128 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.128 * [taylor]: Taking taylor expansion of (log N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (log 1) into 0 0.129 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.129 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.129 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.129 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.129 * [taylor]: Taking taylor expansion of (log N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (log 1) into 0 0.130 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.130 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.130 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.130 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.134 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [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)) 0.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.144 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.146 * [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))) 0.146 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.146 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.146 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.149 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.149 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [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 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.164 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [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 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [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 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.176 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.177 * [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)))) 0.177 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.177 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.177 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (- 1) into -1 0.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.178 * [backup-simplify]: Simplify (log -1) into (log -1) 0.178 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ -1 1) into -1 0.179 * [backup-simplify]: Simplify (log -1) into (log -1) 0.179 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify (- 1) into -1 0.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.180 * [backup-simplify]: Simplify (log -1) into (log -1) 0.180 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.180 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.180 * [taylor]: Taking taylor expansion of -1 in N 0.180 * [backup-simplify]: Simplify -1 into -1 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ -1 1) into -1 0.180 * [backup-simplify]: Simplify (log -1) into (log -1) 0.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.182 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.182 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.188 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [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 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.197 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [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 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [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 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.214 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.215 * [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)))) 0.215 * * * [progress]: simplifying candidates 0.216 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.217 * [simplify]: Sending expressions to egg_math: (expm1 (log (+ h1 h0))) (log1p (log (+ h1 h0))) (log (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (log (cbrt (+ h1 h0))) (log (sqrt (+ h1 h0))) (log (sqrt (+ h1 h0))) (log 1) (log (+ h1 h0)) (log 1) (log (+ h1 h0)) (log (+ (pow h1 3) (pow h0 3))) (log (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (log (- (* h1 h1) (* h0 h0))) (log (- h1 h0)) (log (+ h1 h0)) (log (log (+ h1 h0))) (exp (log (+ h1 h0))) (* (cbrt (log (+ h1 h0))) (cbrt (log (+ h1 h0)))) (cbrt (log (+ h1 h0))) (* (* (log (+ h1 h0)) (log (+ h1 h0))) (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (fma 1 (log (+ h1 h0)) (- (* (log h1) 1))) (fma (- (log h1)) 1 (* (log h1) 1)) (fma 1 (log (+ h1 h0)) (- (* (cbrt (log h1)) (* (cbrt (log h1)) (cbrt (log h1)))))) (fma (- (cbrt (log h1))) (* (cbrt (log h1)) (cbrt (log h1))) (* (cbrt (log h1)) (* (cbrt (log h1)) (cbrt (log h1))))) (fma 1 (log (+ h1 h0)) (- (* (sqrt (log h1)) (sqrt (log h1))))) (fma (- (sqrt (log h1))) (sqrt (log h1)) (* (sqrt (log h1)) (sqrt (log h1)))) (fma 1 (log (+ h1 h0)) (- (* (log h1) 1))) (fma (- (log h1)) 1 (* (log h1) 1)) (fma (* (cbrt (log (+ h1 h0))) (cbrt (log (+ h1 h0)))) (cbrt (log (+ h1 h0))) (- (* (log h1) 1))) (fma (- (log h1)) 1 (* (log h1) 1)) (fma (* (cbrt (log (+ h1 h0))) (cbrt (log (+ h1 h0)))) (cbrt (log (+ h1 h0))) (- (* (cbrt (log h1)) (* (cbrt (log h1)) (cbrt (log h1)))))) (fma (- (cbrt (log h1))) (* (cbrt (log h1)) (cbrt (log h1))) (* (cbrt (log h1)) (* (cbrt (log h1)) (cbrt (log h1))))) (fma (* (cbrt (log (+ h1 h0))) (cbrt (log (+ h1 h0)))) (cbrt (log (+ h1 h0))) (- (* (sqrt (log h1)) (sqrt (log h1))))) (fma (- (sqrt (log h1))) (sqrt (log h1)) (* (sqrt (log h1)) (sqrt (log h1)))) (fma (* (cbrt (log (+ h1 h0))) (cbrt (log (+ h1 h0)))) (cbrt (log (+ h1 h0))) (- (* (log h1) 1))) (fma (- (log h1)) 1 (* (log h1) 1)) (fma (sqrt (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (- (* (log h1) 1))) (fma (- (log h1)) 1 (* (log h1) 1)) (fma (sqrt (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (- (* (cbrt (log h1)) (* (cbrt (log h1)) (cbrt (log h1)))))) (fma (- (cbrt (log h1))) (* (cbrt (log h1)) (cbrt (log h1))) (* (cbrt (log h1)) (* (cbrt (log h1)) (cbrt (log h1))))) (fma (sqrt (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (- (* (sqrt (log h1)) (sqrt (log h1))))) (fma (- (sqrt (log h1))) (sqrt (log h1)) (* (sqrt (log h1)) (sqrt (log h1)))) (fma (sqrt (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (- (* (log h1) 1))) (fma (- (log h1)) 1 (* (log h1) 1)) (fma 1 (log (+ h1 h0)) (- (* (log h1) 1))) (fma (- (log h1)) 1 (* (log h1) 1)) (fma 1 (log (+ h1 h0)) (- (* (cbrt (log h1)) (* (cbrt (log h1)) (cbrt (log h1)))))) (fma (- (cbrt (log h1))) (* (cbrt (log h1)) (cbrt (log h1))) (* (cbrt (log h1)) (* (cbrt (log h1)) (cbrt (log h1))))) (fma 1 (log (+ h1 h0)) (- (* (sqrt (log h1)) (sqrt (log h1))))) (fma (- (sqrt (log h1))) (sqrt (log h1)) (* (sqrt (log h1)) (sqrt (log h1)))) (fma 1 (log (+ h1 h0)) (- (* (log h1) 1))) (fma (- (log h1)) 1 (* (log h1) 1)) (expm1 (- (log (+ h1 h0)) (log h1))) (log1p (- (log (+ h1 h0)) (log h1))) (- (log h1)) (- (log h1)) (- (log h1)) (- (log h1)) (/ (+ h1 h0) h1) (log (- (log (+ h1 h0)) (log h1))) (exp (- (log (+ h1 h0)) (log h1))) (* (cbrt (- (log (+ h1 h0)) (log h1))) (cbrt (- (log (+ h1 h0)) (log h1)))) (cbrt (- (log (+ h1 h0)) (log h1))) (* (* (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1))) (- (log (+ h1 h0)) (log h1))) (sqrt (- (log (+ h1 h0)) (log h1))) (sqrt (- (log (+ h1 h0)) (log h1))) (- (pow (log (+ h1 h0)) 3) (pow (log h1) 3)) (+ (* (log (+ h1 h0)) (log (+ h1 h0))) (+ (* (log h1) (log h1)) (* (log (+ h1 h0)) (log h1)))) (- (log h1)) (- (* (log (+ h1 h0)) (log (+ h1 h0))) (* (log h1) (log h1))) (+ (log (+ h1 h0)) (log h1)) (+ (sqrt (log (+ h1 h0))) (sqrt (log h1))) (- (sqrt (log (+ h1 h0))) (sqrt (log h1))) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log (* (cbrt h1) (cbrt h1)))) (- (log (+ h1 h0)) (log (sqrt h1))) (- (log (+ h1 h0)) (log 1)) (- (log (cbrt (+ h1 h0))) (log h1)) (- (log (sqrt (+ h1 h0))) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (+ (log (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (log h1)) (+ (log (- h1 h0)) (log h1)) (- (log h1)) (- (+ (* h0 h1) (log h0)) (* 1/2 (/ (pow h1 2) (pow h0 2)))) (- (* h0 (/ 1 h1)) (+ (* h2 (/ 1 (pow h1 2))) (log (/ 1 h1)))) (- (+ (* h0 (/ 1 h1)) (log -1)) (+ (* h2 (/ 1 (pow h1 2))) (log (/ -1 h1)))) (- (+ (* h0 h1) (log h0)) (+ (* 1/2 (/ (pow h1 2) (pow h0 2))) (log h1))) (- (+ (* h3 (/ 1 (pow h1 3))) (* h0 (/ 1 h1))) (* h2 (/ 1 (pow h1 2)))) (- (+ (* h3 (/ 1 (pow h1 3))) (* h0 (/ 1 h1))) (* h2 (/ 1 (pow h1 2)))) 0.221 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.225 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.240 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.331 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.333 * * * [progress]: adding candidates to table 0.460 * * [progress]: iteration 2 / 4 0.460 * * * [progress]: picking best candidate 0.467 * * * * [pick]: Picked # 0.467 * * * [progress]: localizing error 0.477 * * * [progress]: generating rewritten candidates 0.477 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.486 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.568 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.637 * * * [progress]: generating series expansions 0.637 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.637 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 0.637 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.637 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.637 * [taylor]: Taking taylor expansion of N in N 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (/ 1 1) into 1 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.638 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.638 * [taylor]: Taking taylor expansion of N in N 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (/ 1 1) into 1 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.645 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 0.645 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.645 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.645 * [taylor]: Taking taylor expansion of N in N 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.645 * [taylor]: Taking taylor expansion of N in N 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (* 1 1) into 1 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.649 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 0.650 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.650 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.650 * [taylor]: Taking taylor expansion of N in N 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.650 * [taylor]: Taking taylor expansion of N in N 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 0.654 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.654 * [backup-simplify]: Simplify (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 0.654 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.654 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.654 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.654 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.654 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.654 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [taylor]: Taking taylor expansion of 0.5 in N 0.654 * [backup-simplify]: Simplify 0.5 into 0.5 0.654 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.654 * [taylor]: Taking taylor expansion of N in N 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.655 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.655 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.655 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.655 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.655 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.655 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.655 * [taylor]: Taking taylor expansion of N in N 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (/ 1 1) into 1 0.656 * [taylor]: Taking taylor expansion of 0.5 in N 0.656 * [backup-simplify]: Simplify 0.5 into 0.5 0.656 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.656 * [taylor]: Taking taylor expansion of N in N 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.656 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.657 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.658 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.658 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.660 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 0.660 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (- 0) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.667 * [backup-simplify]: Simplify (- 0) into 0 0.667 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.673 * [backup-simplify]: Simplify (- 0) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify 0 into 0 0.675 * [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 0.676 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.676 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.678 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 0.678 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.678 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.678 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.678 * [taylor]: Taking taylor expansion of N in N 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.679 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.679 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.679 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.679 * [taylor]: Taking taylor expansion of N in N 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of 0.5 in N 0.679 * [backup-simplify]: Simplify 0.5 into 0.5 0.679 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.679 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.679 * [taylor]: Taking taylor expansion of N in N 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.679 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.679 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.679 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.679 * [taylor]: Taking taylor expansion of N in N 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of 0.5 in N 0.679 * [backup-simplify]: Simplify 0.5 into 0.5 0.679 * [backup-simplify]: Simplify (* 1 1) into 1 0.679 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.680 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.680 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.681 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 0.681 * [backup-simplify]: Simplify -0.5 into -0.5 0.681 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.682 * [backup-simplify]: Simplify (- 0) into 0 0.682 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 0.683 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.684 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.686 * [backup-simplify]: Simplify (- 0) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.688 * [backup-simplify]: Simplify (- 0) into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 0.690 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.691 * [backup-simplify]: Simplify (- 0) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.694 * [backup-simplify]: Simplify (- 0) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.697 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.703 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) into (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) 0.703 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.703 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.703 * [taylor]: Taking taylor expansion of -1 in N 0.703 * [backup-simplify]: Simplify -1 into -1 0.703 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.703 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.703 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.703 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.703 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.703 * [taylor]: Taking taylor expansion of N in N 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.704 * [taylor]: Taking taylor expansion of 0.5 in N 0.704 * [backup-simplify]: Simplify 0.5 into 0.5 0.704 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.704 * [taylor]: Taking taylor expansion of N in N 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.704 * [taylor]: Taking taylor expansion of -1 in N 0.704 * [backup-simplify]: Simplify -1 into -1 0.704 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.704 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.704 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.704 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.704 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.704 * [taylor]: Taking taylor expansion of N in N 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [taylor]: Taking taylor expansion of 0.5 in N 0.704 * [backup-simplify]: Simplify 0.5 into 0.5 0.704 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.704 * [taylor]: Taking taylor expansion of N in N 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.705 * [backup-simplify]: Simplify (* 1 1) into 1 0.705 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.705 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 0.705 * [backup-simplify]: Simplify -0.5 into -0.5 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.706 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.707 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.707 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0.3333333333333333 1)) into 0.3333333333333333 0.708 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 0.708 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.709 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (* 0 1))) into 0 0.711 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.716 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.718 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.719 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.721 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.723 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.727 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.728 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.728 * [backup-simplify]: Simplify (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.728 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.728 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.728 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.728 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.728 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.728 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.728 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.729 * [taylor]: Taking taylor expansion of 1.0 in N 0.729 * [backup-simplify]: Simplify 1.0 into 1.0 0.729 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.729 * [taylor]: Taking taylor expansion of N in N 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.729 * [taylor]: Taking taylor expansion of 0.5 in N 0.729 * [backup-simplify]: Simplify 0.5 into 0.5 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.729 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.729 * [taylor]: Taking taylor expansion of N in N 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (* 1 1) into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.730 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.730 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.730 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.730 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.730 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.730 * [taylor]: Taking taylor expansion of N in N 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (* 1 1) into 1 0.730 * [backup-simplify]: Simplify (* 1 1) into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.730 * [taylor]: Taking taylor expansion of 1.0 in N 0.730 * [backup-simplify]: Simplify 1.0 into 1.0 0.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.731 * [taylor]: Taking taylor expansion of N in N 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.731 * [taylor]: Taking taylor expansion of 0.5 in N 0.731 * [backup-simplify]: Simplify 0.5 into 0.5 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.731 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.731 * [taylor]: Taking taylor expansion of N in N 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.732 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.732 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.732 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.734 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.735 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.735 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.737 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.737 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.739 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.739 * [backup-simplify]: Simplify 1.0 into 1.0 0.740 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 0.740 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 0.740 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.740 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.740 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.740 * [taylor]: Taking taylor expansion of 1.0 in N 0.740 * [backup-simplify]: Simplify 1.0 into 1.0 0.740 * [taylor]: Taking taylor expansion of N in N 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.740 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.740 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.740 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.740 * [taylor]: Taking taylor expansion of N in N 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.740 * [taylor]: Taking taylor expansion of 0.5 in N 0.740 * [backup-simplify]: Simplify 0.5 into 0.5 0.740 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.740 * [taylor]: Taking taylor expansion of N in N 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.740 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.740 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.740 * [taylor]: Taking taylor expansion of 1.0 in N 0.740 * [backup-simplify]: Simplify 1.0 into 1.0 0.740 * [taylor]: Taking taylor expansion of N in N 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.740 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.740 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.740 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.740 * [taylor]: Taking taylor expansion of N in N 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.740 * [taylor]: Taking taylor expansion of 0.5 in N 0.740 * [backup-simplify]: Simplify 0.5 into 0.5 0.741 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.741 * [taylor]: Taking taylor expansion of N in N 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.742 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.743 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.743 * [backup-simplify]: Simplify 1.0 into 1.0 0.743 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [backup-simplify]: Simplify (* 1 1) into 1 0.744 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.744 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.745 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.745 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.746 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.746 * [backup-simplify]: Simplify (* 1 1) into 1 0.746 * [backup-simplify]: Simplify (* 1 1) into 1 0.746 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.747 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.747 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.748 * [backup-simplify]: Simplify (- 0) into 0 0.748 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.748 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.748 * [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)))) 0.749 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 0.749 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.749 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.749 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.749 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.749 * [taylor]: Taking taylor expansion of 0.5 in N 0.749 * [backup-simplify]: Simplify 0.5 into 0.5 0.749 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.749 * [taylor]: Taking taylor expansion of N in N 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.749 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.749 * [taylor]: Taking taylor expansion of 1.0 in N 0.749 * [backup-simplify]: Simplify 1.0 into 1.0 0.749 * [taylor]: Taking taylor expansion of N in N 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.749 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.749 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.749 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.749 * [taylor]: Taking taylor expansion of N in N 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.749 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.749 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.749 * [taylor]: Taking taylor expansion of 0.5 in N 0.749 * [backup-simplify]: Simplify 0.5 into 0.5 0.749 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.749 * [taylor]: Taking taylor expansion of N in N 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.749 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.749 * [taylor]: Taking taylor expansion of 1.0 in N 0.749 * [backup-simplify]: Simplify 1.0 into 1.0 0.749 * [taylor]: Taking taylor expansion of N in N 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.749 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.749 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.749 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.749 * [taylor]: Taking taylor expansion of N in N 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.751 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.752 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.752 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.752 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.752 * [backup-simplify]: Simplify (* 1 1) into 1 0.753 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.753 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.754 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.754 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.755 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.756 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.757 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.757 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.757 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.758 * [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)))) 0.758 * * * [progress]: simplifying candidates 0.764 * [simplify]: Simplifying: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log1p (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- 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(sqrt 0.5))) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- 0.5) 1 (* 0.5 1)) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- 0.5) 1 (* 0.5 1)) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- 0.5) 1 (* 0.5 1)) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- 0.5) 1 (* 0.5 1)) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (fma (- 0.5) 1 (* 0.5 1)) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.766 * [simplify]: Sending expressions to egg_math: (expm1 (/ 1 (pow h0 2))) (log1p (/ 1 (pow h0 2))) (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 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h3 h0)) (+ (* (fma (- h1) 1 (* h1 1)) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (fma (- h1) 1 (* h1 1)) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (fma (- h1) 1 (* h1 1)) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 h0)) (* h2 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) 0.780 * * [simplify]: iteration 0 : 1021 enodes (cost 3505 ) 0.796 * * [simplify]: iteration 1 : 4524 enodes (cost 2419 ) 0.857 * * [simplify]: iteration 2 : 5001 enodes (cost 2419 ) 0.873 * * * [progress]: adding candidates to table 1.527 * * [progress]: iteration 3 / 4 1.527 * * * [progress]: picking best candidate 1.538 * * * * [pick]: Picked # 1.538 * * * [progress]: localizing error 1.542 * * * [progress]: generating rewritten candidates 1.542 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.550 * * * [progress]: generating series expansions 1.550 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.550 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.550 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.550 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.550 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.550 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.550 * [taylor]: Taking taylor expansion of N in N 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [taylor]: Taking taylor expansion of 1.0 in N 1.550 * [backup-simplify]: Simplify 1.0 into 1.0 1.550 * [taylor]: Taking taylor expansion of N in N 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.551 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.551 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.551 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.551 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.551 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.551 * [taylor]: Taking taylor expansion of N in N 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [taylor]: Taking taylor expansion of 1.0 in N 1.551 * [backup-simplify]: Simplify 1.0 into 1.0 1.552 * [taylor]: Taking taylor expansion of N in N 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.552 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.552 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.553 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.553 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.554 * [backup-simplify]: Simplify (+ 1 0) into 1 1.554 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.557 * [backup-simplify]: Simplify 1.0 into 1.0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.563 * [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)) 1.564 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.565 * [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))) 1.565 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.565 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.565 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.565 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.565 * [taylor]: Taking taylor expansion of N in N 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.565 * [taylor]: Taking taylor expansion of N in N 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (/ 1 1) into 1 1.565 * [taylor]: Taking taylor expansion of 1.0 in N 1.565 * [backup-simplify]: Simplify 1.0 into 1.0 1.566 * [backup-simplify]: Simplify (+ 1 0) into 1 1.566 * [backup-simplify]: Simplify (* 0 1) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.567 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.567 * [backup-simplify]: Simplify (log 1) into 0 1.567 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.567 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.567 * [taylor]: Taking taylor expansion of N in N 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.567 * [taylor]: Taking taylor expansion of N in N 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ 1 1) into 1 1.567 * [taylor]: Taking taylor expansion of 1.0 in N 1.567 * [backup-simplify]: Simplify 1.0 into 1.0 1.568 * [backup-simplify]: Simplify (+ 1 0) into 1 1.568 * [backup-simplify]: Simplify (* 0 1) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.569 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.569 * [backup-simplify]: Simplify (log 1) into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.575 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.575 * [backup-simplify]: Simplify 1.0 into 1.0 1.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.582 * [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 1.582 * [backup-simplify]: Simplify -0.5 into -0.5 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.592 * [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 1.592 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.592 * [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)))) 1.592 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.592 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.592 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.592 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.592 * [taylor]: Taking taylor expansion of -1 in N 1.592 * [backup-simplify]: Simplify -1 into -1 1.592 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.592 * [taylor]: Taking taylor expansion of N in N 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.592 * [taylor]: Taking taylor expansion of 1.0 in N 1.592 * [backup-simplify]: Simplify 1.0 into 1.0 1.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.593 * [taylor]: Taking taylor expansion of N in N 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [backup-simplify]: Simplify (- 1) into -1 1.593 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.593 * [backup-simplify]: Simplify (* 0 -1) into 0 1.594 * [backup-simplify]: Simplify (* -1 0) into 0 1.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.595 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.595 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.595 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.596 * [backup-simplify]: Simplify (log 1) into 0 1.596 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.596 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.596 * [taylor]: Taking taylor expansion of -1 in N 1.596 * [backup-simplify]: Simplify -1 into -1 1.596 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.596 * [taylor]: Taking taylor expansion of 1.0 in N 1.596 * [backup-simplify]: Simplify 1.0 into 1.0 1.596 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.596 * [taylor]: Taking taylor expansion of N in N 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [backup-simplify]: Simplify (- 1) into -1 1.596 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.597 * [backup-simplify]: Simplify (* 0 -1) into 0 1.597 * [backup-simplify]: Simplify (* -1 0) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.598 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.599 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.599 * [backup-simplify]: Simplify (log 1) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (- 0) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.602 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.606 * [backup-simplify]: Simplify -1.0 into -1.0 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.607 * [backup-simplify]: Simplify (- 0) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.619 * [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 1.619 * [backup-simplify]: Simplify -0.5 into -0.5 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.631 * [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 1.631 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.631 * [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)))) 1.631 * * * [progress]: simplifying candidates 1.632 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (* 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)))) 1.632 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (+ h0 h1) h0))) (log1p (log (/ (+ h0 h1) h0))) (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (- (+ (* 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)))) 1.635 * * [simplify]: iteration 0 : 172 enodes (cost 216 ) 1.637 * * [simplify]: iteration 1 : 471 enodes (cost 200 ) 1.645 * * [simplify]: iteration 2 : 2042 enodes (cost 190 ) 1.686 * * [simplify]: iteration 3 : 5002 enodes (cost 187 ) 1.688 * * * [progress]: adding candidates to table 1.743 * * [progress]: iteration 4 / 4 1.743 * * * [progress]: picking best candidate 1.750 * * * * [pick]: Picked # 1.750 * * * [progress]: localizing error 1.763 * * * [progress]: generating rewritten candidates 1.763 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.825 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.826 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 1.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.833 * * * [progress]: generating series expansions 1.833 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.833 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) into (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) 1.833 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in (N) around 0 1.833 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 1.833 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 1.833 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 1.833 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.833 * [taylor]: Taking taylor expansion of 1/3 in N 1.833 * [backup-simplify]: Simplify 1/3 into 1/3 1.834 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.834 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.834 * [taylor]: Taking taylor expansion of N in N 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (* 1 1) into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.835 * [backup-simplify]: Simplify (log 1) into 0 1.835 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.835 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.835 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.835 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.835 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.835 * [taylor]: Taking taylor expansion of N in N 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [taylor]: Taking taylor expansion of 1.0 in N 1.835 * [backup-simplify]: Simplify 1.0 into 1.0 1.835 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.836 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.836 * [backup-simplify]: Simplify (+ 1 0) into 1 1.837 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.838 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1.838 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) 1.838 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 1.838 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 1.838 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.838 * [taylor]: Taking taylor expansion of 1/3 in N 1.838 * [backup-simplify]: Simplify 1/3 into 1/3 1.838 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.838 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.838 * [taylor]: Taking taylor expansion of N in N 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [backup-simplify]: Simplify (log 1) into 0 1.839 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.839 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.839 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.839 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.839 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.839 * [taylor]: Taking taylor expansion of N in N 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [taylor]: Taking taylor expansion of 1.0 in N 1.839 * [backup-simplify]: Simplify 1.0 into 1.0 1.839 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.840 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.840 * [backup-simplify]: Simplify (+ 1 0) into 1 1.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.841 * [backup-simplify]: Simplify (* (pow N -1/3) (sqrt 1.0)) into (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1.841 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) 1.841 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 1.841 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 1.841 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 1.842 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.842 * [taylor]: Taking taylor expansion of 1/3 in N 1.842 * [backup-simplify]: Simplify 1/3 into 1/3 1.842 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.842 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.842 * [taylor]: Taking taylor expansion of (pow N 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [backup-simplify]: Simplify (log 1) into 0 1.843 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.843 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.843 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.843 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.843 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.843 * [taylor]: Taking taylor expansion of N in N 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of 1.0 in N 1.843 * [backup-simplify]: Simplify 1.0 into 1.0 1.843 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.843 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.844 * [backup-simplify]: Simplify (+ 1 0) into 1 1.845 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.845 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1.845 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) 1.845 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 1.845 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 1.845 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.845 * [taylor]: Taking taylor expansion of 1/3 in N 1.845 * [backup-simplify]: Simplify 1/3 into 1/3 1.845 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.845 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.845 * [taylor]: Taking taylor expansion of N in N 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (/ 1 1) into 1 1.846 * [backup-simplify]: Simplify (log 1) into 0 1.846 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.846 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.846 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.846 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.846 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.846 * [taylor]: Taking taylor expansion of N in N 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [taylor]: Taking taylor expansion of 1.0 in N 1.846 * [backup-simplify]: Simplify 1.0 into 1.0 1.847 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.847 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.847 * [backup-simplify]: Simplify (+ 1 0) into 1 1.848 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.848 * [backup-simplify]: Simplify (* (pow N -1/3) (sqrt 1.0)) into (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1.849 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) 1.849 * [backup-simplify]: Simplify (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 N) 1/3) (sqrt 1.0)))) into (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))) 1.850 * [backup-simplify]: Simplify (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))) into (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))) 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.852 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 1.853 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0)))) 1.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.857 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.858 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* (pow N -1/3) (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (* (pow (/ 1 N) 1/3) (/ 1 (sqrt 1.0)))) 1.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 N) 1/3) (/ 1 (sqrt 1.0))))) 1)) (pow (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.862 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 1.863 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.869 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.869 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 1.870 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.872 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (sqrt 1.0) 3))))) 1.879 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0))))) 2)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (sqrt 1.0) 3)))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.884 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.885 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.887 * [backup-simplify]: Simplify (+ (* (pow N -1/3) (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (* (pow (/ 1 N) 1/3) (/ 1 (pow (sqrt 1.0) 3))))) 1.890 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 N) 1/3) (/ 1 (sqrt 1.0))))) 2)) (pow (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow (/ 1 N) 1/3) (/ 1 (pow (sqrt 1.0) 3)))))) 1)) (pow (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.892 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.894 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.898 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))))) into (- (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (+ (/ N (pow (sqrt 1.0) 2)) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))))) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 1.899 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 N) 1.0)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) 1.899 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 1.899 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 1.899 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.899 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.899 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.899 * [taylor]: Taking taylor expansion of 1/3 in N 1.899 * [backup-simplify]: Simplify 1/3 into 1/3 1.899 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.899 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.899 * [taylor]: Taking taylor expansion of N in N 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.899 * [backup-simplify]: Simplify (log 1) into 0 1.900 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.900 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.900 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.900 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.900 * [taylor]: Taking taylor expansion of N in N 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [taylor]: Taking taylor expansion of 1.0 in N 1.900 * [backup-simplify]: Simplify 1.0 into 1.0 1.900 * [backup-simplify]: Simplify (+ 1 0) into 1 1.901 * [backup-simplify]: Simplify (sqrt 0) into 0 1.901 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.902 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.903 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.903 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 1.904 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.904 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 1.904 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.904 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.905 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.905 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.905 * [taylor]: Taking taylor expansion of 1/3 in N 1.905 * [backup-simplify]: Simplify 1/3 into 1/3 1.905 * [taylor]: Taking taylor expansion of (log N) in N 1.905 * [taylor]: Taking taylor expansion of N in N 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (log 1) into 0 1.905 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.905 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.905 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.905 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.905 * [taylor]: Taking taylor expansion of N in N 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (/ 1 1) into 1 1.906 * [taylor]: Taking taylor expansion of 1.0 in N 1.906 * [backup-simplify]: Simplify 1.0 into 1.0 1.906 * [backup-simplify]: Simplify (+ 1 0) into 1 1.906 * [backup-simplify]: Simplify (sqrt 0) into 0 1.907 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.907 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 1.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.908 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.908 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.909 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.909 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 1.909 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow N 1/3)))) into (log (- (* +nan.0 (pow N 1/3)))) 1.909 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 1.909 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.909 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.909 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.909 * [taylor]: Taking taylor expansion of 1/3 in N 1.909 * [backup-simplify]: Simplify 1/3 into 1/3 1.909 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.909 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.909 * [taylor]: Taking taylor expansion of N in N 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (* 1 1) into 1 1.910 * [backup-simplify]: Simplify (log 1) into 0 1.910 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.910 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.910 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.910 * [taylor]: Taking taylor expansion of N in N 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.911 * [taylor]: Taking taylor expansion of 1.0 in N 1.911 * [backup-simplify]: Simplify 1.0 into 1.0 1.911 * [backup-simplify]: Simplify (+ 1 0) into 1 1.911 * [backup-simplify]: Simplify (sqrt 0) into 0 1.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.912 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.913 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.914 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 1.914 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.915 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 1.915 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.915 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.915 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.915 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.915 * [taylor]: Taking taylor expansion of 1/3 in N 1.915 * [backup-simplify]: Simplify 1/3 into 1/3 1.915 * [taylor]: Taking taylor expansion of (log N) in N 1.915 * [taylor]: Taking taylor expansion of N in N 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (log 1) into 0 1.915 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.915 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.915 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.915 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.916 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.916 * [taylor]: Taking taylor expansion of N in N 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (/ 1 1) into 1 1.916 * [taylor]: Taking taylor expansion of 1.0 in N 1.916 * [backup-simplify]: Simplify 1.0 into 1.0 1.916 * [backup-simplify]: Simplify (+ 1 0) into 1 1.916 * [backup-simplify]: Simplify (sqrt 0) into 0 1.917 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.917 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 1.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.918 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.919 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 1.919 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow N 1/3)))) into (log (- (* +nan.0 (pow N 1/3)))) 1.920 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) into (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) 1.920 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) into (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.922 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.924 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.924 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.925 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 1.926 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 1) into +nan.0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.929 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.931 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.931 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.932 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow N 1/3))) 1.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow N 1/3)))) 1)) (pow (- (* +nan.0 (pow N 1/3))) 1)))) 1) into +nan.0 1.933 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.933 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.939 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.940 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 1.941 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 2)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 2) into +nan.0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.948 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.948 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.949 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.950 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow N 1/3))) 1.951 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow N 1/3)))) 2)) (pow (- (* +nan.0 (pow N 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow N 1/3)))) 1)) (pow (- (* +nan.0 (pow N 1/3))) 1)))) 2) into +nan.0 1.951 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.951 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.952 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- (* +nan.0 (pow (pow (/ 1 N) 2) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3))))))) into (- (+ (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.953 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) 1.953 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.953 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 1.953 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.953 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.953 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.953 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.953 * [taylor]: Taking taylor expansion of -1 in N 1.953 * [backup-simplify]: Simplify -1 into -1 1.954 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.954 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.955 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 1.956 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2)) 1.956 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.956 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.956 * [taylor]: Taking taylor expansion of 1/3 in N 1.956 * [backup-simplify]: Simplify 1/3 into 1/3 1.956 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.956 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.956 * [taylor]: Taking taylor expansion of N in N 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (log 1) into 0 1.957 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.957 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.957 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.957 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.957 * [taylor]: Taking taylor expansion of 1.0 in N 1.957 * [backup-simplify]: Simplify 1.0 into 1.0 1.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.957 * [taylor]: Taking taylor expansion of N in N 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [backup-simplify]: Simplify (- 1) into -1 1.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.958 * [backup-simplify]: Simplify (sqrt 0) into 0 1.959 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.959 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 1.959 * [backup-simplify]: Simplify (* (/ 1 (pow (cbrt -1) 2)) 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.960 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.961 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 1.961 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.962 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))))) into 0 1.964 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1.969 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) into (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1.969 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.969 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.969 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.969 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.969 * [taylor]: Taking taylor expansion of -1 in N 1.969 * [backup-simplify]: Simplify -1 into -1 1.969 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.970 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.970 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.970 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.970 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.970 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.970 * [taylor]: Taking taylor expansion of 1/3 in N 1.970 * [backup-simplify]: Simplify 1/3 into 1/3 1.970 * [taylor]: Taking taylor expansion of (log N) in N 1.970 * [taylor]: Taking taylor expansion of N in N 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (log 1) into 0 1.971 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.971 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.971 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.971 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.971 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.971 * [taylor]: Taking taylor expansion of 1.0 in N 1.971 * [backup-simplify]: Simplify 1.0 into 1.0 1.971 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.971 * [taylor]: Taking taylor expansion of N in N 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [backup-simplify]: Simplify (- 1) into -1 1.972 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.972 * [backup-simplify]: Simplify (sqrt 0) into 0 1.973 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.973 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 1.973 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) 0) into 0 1.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.974 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.975 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.975 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 1.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 1.977 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1.978 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) into (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 1.978 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 1.978 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.978 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.978 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.978 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.978 * [taylor]: Taking taylor expansion of -1 in N 1.978 * [backup-simplify]: Simplify -1 into -1 1.978 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.979 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.979 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 1.980 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2)) 1.980 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.980 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.980 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.980 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.981 * [taylor]: Taking taylor expansion of 1/3 in N 1.981 * [backup-simplify]: Simplify 1/3 into 1/3 1.981 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.981 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.981 * [taylor]: Taking taylor expansion of N in N 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (* 1 1) into 1 1.981 * [backup-simplify]: Simplify (log 1) into 0 1.981 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.981 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.981 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.981 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.981 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.981 * [taylor]: Taking taylor expansion of 1.0 in N 1.981 * [backup-simplify]: Simplify 1.0 into 1.0 1.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.982 * [taylor]: Taking taylor expansion of N in N 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (- 1) into -1 1.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.982 * [backup-simplify]: Simplify (sqrt 0) into 0 1.983 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.983 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 1.984 * [backup-simplify]: Simplify (* (/ 1 (pow (cbrt -1) 2)) 0) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.985 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 1.986 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.987 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))))) into 0 1.989 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1.990 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) into (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1.990 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.990 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.990 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.990 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.990 * [taylor]: Taking taylor expansion of -1 in N 1.990 * [backup-simplify]: Simplify -1 into -1 1.991 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.991 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.992 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.992 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.992 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.992 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.992 * [taylor]: Taking taylor expansion of 1/3 in N 1.992 * [backup-simplify]: Simplify 1/3 into 1/3 1.992 * [taylor]: Taking taylor expansion of (log N) in N 1.992 * [taylor]: Taking taylor expansion of N in N 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (log 1) into 0 1.992 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.992 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.992 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.992 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.992 * [taylor]: Taking taylor expansion of 1.0 in N 1.992 * [backup-simplify]: Simplify 1.0 into 1.0 1.992 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.992 * [taylor]: Taking taylor expansion of N in N 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (- 1) into -1 1.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.993 * [backup-simplify]: Simplify (sqrt 0) into 0 1.994 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.994 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 1.995 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) 0) into 0 1.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.996 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.996 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.996 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 1.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 1.998 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1.999 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) into (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 2.001 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))))) into (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))))) 2.003 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))))) into (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))))) 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (- 0) into 0 2.004 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.006 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.008 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.008 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 2.008 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 2.009 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 2.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.011 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0 2.014 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (* 0 (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 2.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1)))) 1) into +nan.0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.017 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.019 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.020 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.021 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.021 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.022 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow N 1/3))) 2.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 2.025 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (+ (* 0 (- (* +nan.0 (pow N 1/3)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 2.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1)))) 1) into +nan.0 2.027 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.027 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (- 0) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.033 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 2.034 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 2.035 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 2.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.037 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0 2.040 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (* 0 (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (* 0 (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 2.045 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 2)) (pow (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1)))) 2) into +nan.0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (- 0) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.051 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.051 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.053 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow N 1/3))) 2.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 2.059 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (+ (* 0 (- (* +nan.0 (pow N 1/3)))) (+ (* 0 (- (* +nan.0 (pow N 1/3)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 2.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 2)) (pow (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1)))) 2) into +nan.0 2.063 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.063 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.066 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow (/ 1 (- N)) 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow (/ 1 (- N)) 2) 1/3)))))))) into (- (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))) (log (- (* +nan.0 (* (pow (/ -1 N) 1/3) (/ 1 (cbrt -1))))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 2.066 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.066 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 2.066 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.066 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.066 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.066 * [taylor]: Taking taylor expansion of 1/3 in N 2.066 * [backup-simplify]: Simplify 1/3 into 1/3 2.066 * [taylor]: Taking taylor expansion of (log N) in N 2.066 * [taylor]: Taking taylor expansion of N in N 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (log 1) into 0 2.067 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.067 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.067 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.067 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.067 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.067 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.067 * [taylor]: Taking taylor expansion of 1/3 in N 2.067 * [backup-simplify]: Simplify 1/3 into 1/3 2.067 * [taylor]: Taking taylor expansion of (log N) in N 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (log 1) into 0 2.068 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.068 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.068 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.068 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.069 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.069 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.070 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.071 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.072 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.075 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.076 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.077 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.082 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 2.084 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.084 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.093 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.094 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 2.096 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.111 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.112 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 2.115 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.115 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 2.116 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.116 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.116 * [taylor]: Taking taylor expansion of 1/3 in N 2.116 * [backup-simplify]: Simplify 1/3 into 1/3 2.116 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.116 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.116 * [taylor]: Taking taylor expansion of N in N 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [backup-simplify]: Simplify (/ 1 1) into 1 2.116 * [backup-simplify]: Simplify (log 1) into 0 2.116 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.116 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.117 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.117 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.117 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.117 * [taylor]: Taking taylor expansion of 1/3 in N 2.117 * [backup-simplify]: Simplify 1/3 into 1/3 2.117 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.117 * [taylor]: Taking taylor expansion of N in N 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (/ 1 1) into 1 2.117 * [backup-simplify]: Simplify (log 1) into 0 2.117 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.117 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.118 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.118 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.119 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.120 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.122 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.122 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.123 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.126 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.128 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.137 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.140 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.150 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.152 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.167 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.171 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 2.171 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.171 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.171 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.171 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.171 * [taylor]: Taking taylor expansion of -1 in N 2.171 * [backup-simplify]: Simplify -1 into -1 2.171 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.172 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.172 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.172 * [taylor]: Taking taylor expansion of 1/3 in N 2.172 * [backup-simplify]: Simplify 1/3 into 1/3 2.172 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.172 * [taylor]: Taking taylor expansion of N in N 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.173 * [backup-simplify]: Simplify (log 1) into 0 2.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.173 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.173 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.173 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.173 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.173 * [taylor]: Taking taylor expansion of -1 in N 2.173 * [backup-simplify]: Simplify -1 into -1 2.173 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.174 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.174 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.174 * [taylor]: Taking taylor expansion of 1/3 in N 2.174 * [backup-simplify]: Simplify 1/3 into 1/3 2.174 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.174 * [taylor]: Taking taylor expansion of N in N 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (/ 1 1) into 1 2.174 * [backup-simplify]: Simplify (log 1) into 0 2.175 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.175 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.175 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.175 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.175 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.178 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.181 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.183 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.188 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.189 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.195 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.196 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.197 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.199 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.208 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.209 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.215 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.217 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.236 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.239 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 2.239 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 2.239 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 2.239 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.239 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.239 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.239 * [taylor]: Taking taylor expansion of 1/3 in N 2.239 * [backup-simplify]: Simplify 1/3 into 1/3 2.239 * [taylor]: Taking taylor expansion of (log N) in N 2.239 * [taylor]: Taking taylor expansion of N in N 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (log 1) into 0 2.240 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.240 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.240 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.240 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.240 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.240 * [taylor]: Taking taylor expansion of 1/3 in N 2.240 * [backup-simplify]: Simplify 1/3 into 1/3 2.240 * [taylor]: Taking taylor expansion of (log N) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (log 1) into 0 2.241 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.241 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.241 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.241 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.242 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.242 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.243 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.243 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.244 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.246 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.248 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.249 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.250 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.255 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.256 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 2.257 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.266 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 2.269 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.284 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 2.291 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.292 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 2.292 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.292 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.292 * [taylor]: Taking taylor expansion of 1/3 in N 2.292 * [backup-simplify]: Simplify 1/3 into 1/3 2.292 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.292 * [taylor]: Taking taylor expansion of N in N 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (/ 1 1) into 1 2.292 * [backup-simplify]: Simplify (log 1) into 0 2.293 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.293 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.293 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.293 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.293 * [taylor]: Taking taylor expansion of 1/3 in N 2.293 * [backup-simplify]: Simplify 1/3 into 1/3 2.293 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.293 * [taylor]: Taking taylor expansion of N in N 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (/ 1 1) into 1 2.293 * [backup-simplify]: Simplify (log 1) into 0 2.294 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.294 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.294 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.294 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.295 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.296 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.296 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.298 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.299 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.300 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.303 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.305 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.311 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.313 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.323 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.324 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.326 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.326 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.344 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.347 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.347 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 2.348 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.348 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.348 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.348 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.348 * [taylor]: Taking taylor expansion of -1 in N 2.348 * [backup-simplify]: Simplify -1 into -1 2.348 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.349 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.349 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.349 * [taylor]: Taking taylor expansion of 1/3 in N 2.349 * [backup-simplify]: Simplify 1/3 into 1/3 2.349 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.349 * [taylor]: Taking taylor expansion of N in N 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (/ 1 1) into 1 2.349 * [backup-simplify]: Simplify (log 1) into 0 2.350 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.350 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.350 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.350 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.350 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.350 * [taylor]: Taking taylor expansion of -1 in N 2.350 * [backup-simplify]: Simplify -1 into -1 2.350 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.350 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.350 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.350 * [taylor]: Taking taylor expansion of 1/3 in N 2.350 * [backup-simplify]: Simplify 1/3 into 1/3 2.351 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.351 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.351 * [taylor]: Taking taylor expansion of N in N 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (/ 1 1) into 1 2.351 * [backup-simplify]: Simplify (log 1) into 0 2.351 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.351 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.351 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.352 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.352 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.354 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.354 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.354 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.357 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.358 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.360 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.363 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.364 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.365 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.366 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 2.366 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.378 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.380 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.389 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.393 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.395 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.411 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.415 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.418 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 2.418 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 2.418 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 2.418 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.418 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.418 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.418 * [taylor]: Taking taylor expansion of 1/3 in N 2.418 * [backup-simplify]: Simplify 1/3 into 1/3 2.418 * [taylor]: Taking taylor expansion of (log N) in N 2.418 * [taylor]: Taking taylor expansion of N in N 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (log 1) into 0 2.419 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.419 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.419 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.419 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.419 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.419 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.419 * [taylor]: Taking taylor expansion of 1/3 in N 2.419 * [backup-simplify]: Simplify 1/3 into 1/3 2.419 * [taylor]: Taking taylor expansion of (log N) in N 2.419 * [taylor]: Taking taylor expansion of N in N 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (log 1) into 0 2.420 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.420 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.420 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.420 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.421 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.421 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.422 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.423 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.424 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.424 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.427 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.429 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.434 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 2.437 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.446 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.450 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 2.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.452 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.467 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 2.471 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.471 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 2.471 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 2.471 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.471 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.471 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.471 * [taylor]: Taking taylor expansion of 1/3 in N 2.471 * [backup-simplify]: Simplify 1/3 into 1/3 2.471 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.471 * [taylor]: Taking taylor expansion of N in N 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify (/ 1 1) into 1 2.472 * [backup-simplify]: Simplify (log 1) into 0 2.472 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.472 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.472 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.472 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.472 * [taylor]: Taking taylor expansion of 1/3 in N 2.472 * [backup-simplify]: Simplify 1/3 into 1/3 2.472 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.472 * [taylor]: Taking taylor expansion of N in N 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (/ 1 1) into 1 2.473 * [backup-simplify]: Simplify (log 1) into 0 2.473 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.473 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.473 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.473 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.475 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.476 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.478 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.479 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.482 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.482 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.483 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.484 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.490 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.492 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.501 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.504 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.504 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.519 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.526 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 2.527 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.527 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 2.527 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.527 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.527 * [taylor]: Taking taylor expansion of -1 in N 2.527 * [backup-simplify]: Simplify -1 into -1 2.527 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.528 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.528 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.528 * [taylor]: Taking taylor expansion of 1/3 in N 2.528 * [backup-simplify]: Simplify 1/3 into 1/3 2.528 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.528 * [taylor]: Taking taylor expansion of N in N 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.528 * [backup-simplify]: Simplify (log 1) into 0 2.529 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.529 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.529 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.529 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.529 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.529 * [taylor]: Taking taylor expansion of -1 in N 2.529 * [backup-simplify]: Simplify -1 into -1 2.529 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.529 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.530 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.530 * [taylor]: Taking taylor expansion of 1/3 in N 2.530 * [backup-simplify]: Simplify 1/3 into 1/3 2.530 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.530 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.530 * [taylor]: Taking taylor expansion of N in N 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [backup-simplify]: Simplify (/ 1 1) into 1 2.530 * [backup-simplify]: Simplify (log 1) into 0 2.530 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.530 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.531 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.531 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.531 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.533 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.534 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.534 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.536 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.537 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.537 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.539 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.542 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.543 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.544 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.545 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.551 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.552 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 2.553 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.555 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 2.564 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.565 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 2.567 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.569 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.584 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.584 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.588 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.590 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 2.591 * * * [progress]: simplifying candidates 2.593 * [simplify]: Simplifying: (expm1 (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (log1p (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N))) (log (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (exp (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (* (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (pow (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) 3) (pow (log (/ (sqrt (+ N 1.0)) (cbrt N))) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (- (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt 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(cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (- (+ (log (* (pow (/ 1 h0) 1/3) (sqrt h1))) (+ (/ h0 (pow (sqrt h1) 2)) (log (* (pow (/ 1 (pow h0 2)) 1/3) (sqrt h1))))) (* 1/2 (/ (pow h0 2) (pow (sqrt h1) 4)))) (- (+ (log (- (* h2 (pow (/ 1 h0) 1/3)))) (log (- (* h2 (pow (/ 1 (pow h0 2)) 1/3))))) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (- (+ (log (- (* h2 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow h0 2)) 1/3))))) (log (- (* h2 (* (pow (/ -1 h0) 1/3) (/ 1 (cbrt -1))))))) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 2.600 * * [simplify]: iteration 0 : 515 enodes (cost 1353 ) 2.607 * * [simplify]: iteration 1 : 1641 enodes (cost 1284 ) 2.631 * * [simplify]: iteration 2 : 5001 enodes (cost 1181 ) 2.640 * * * [progress]: adding candidates to table 3.010 * [progress]: [Phase 3 of 3] Extracting. 3.010 * * [regime]: Finding splitpoints for: (# # # # #) 3.012 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 3.012 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # # # #) 3.041 * * * * [regimes]: Trying to branch on N from (# # # # #) 3.067 * * * [regime]: Found split indices: #