5.137 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.043 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.045 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.046 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.076 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.076 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.076 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [backup-simplify]: Simplify 1.0 into 1.0 0.077 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.077 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.077 * [taylor]: Taking taylor expansion of (log N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (log 1) into 0 0.077 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.077 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [backup-simplify]: Simplify 1.0 into 1.0 0.078 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.078 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.078 * [taylor]: Taking taylor expansion of (log N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (log 1) into 0 0.079 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.079 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.079 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.079 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.084 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.098 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.100 * [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))) 0.101 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.101 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.101 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of 1.0 in N 0.101 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (log 1) into 0 0.101 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [backup-simplify]: Simplify (log 1) into 0 0.102 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [backup-simplify]: Simplify 1.0 into 1.0 0.103 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [backup-simplify]: Simplify (log 1) into 0 0.103 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (log 1) into 0 0.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.104 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.104 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.110 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [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 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.119 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [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 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [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 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.132 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.133 * [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)))) 0.133 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.133 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.133 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.133 * [taylor]: Taking taylor expansion of 1.0 in N 0.133 * [backup-simplify]: Simplify 1.0 into 1.0 0.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [backup-simplify]: Simplify (- 1) into -1 0.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.134 * [backup-simplify]: Simplify (log -1) into (log -1) 0.134 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.134 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.134 * [taylor]: Taking taylor expansion of -1 in N 0.134 * [backup-simplify]: Simplify -1 into -1 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ -1 1) into -1 0.135 * [backup-simplify]: Simplify (log -1) into (log -1) 0.135 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.135 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (- 1) into -1 0.135 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.136 * [backup-simplify]: Simplify (log -1) into (log -1) 0.136 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.136 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.136 * [taylor]: Taking taylor expansion of -1 in N 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ -1 1) into -1 0.136 * [backup-simplify]: Simplify (log -1) into (log -1) 0.137 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.137 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.138 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.138 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.145 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [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 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.155 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [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 0.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [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 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.168 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.169 * [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)))) 0.169 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.169 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.169 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.169 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.170 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.170 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.170 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of 1.0 in N 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.170 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.171 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.171 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [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)) 0.187 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.188 * [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)))) 0.188 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.188 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of 1.0 in N 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.190 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.194 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [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 0.201 * [backup-simplify]: Simplify -0.5 into -0.5 0.201 * [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)))) 0.201 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.201 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (- 1) into -1 0.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.202 * [backup-simplify]: Simplify (log -1) into (log -1) 0.202 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [backup-simplify]: Simplify 1.0 into 1.0 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.203 * [backup-simplify]: Simplify (log -1) into (log -1) 0.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.204 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.208 * [backup-simplify]: Simplify -1.0 into -1.0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [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 0.215 * [backup-simplify]: Simplify -0.5 into -0.5 0.216 * [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)))) 0.216 * * * [progress]: simplifying candidates 0.217 * [simplify]: Simplifying: (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)) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.217 * [simplify]: Sending expressions to egg_math: (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (fma 1 (log (+ h0 h1)) (- (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0)))))) (fma (- (cbrt (log h0))) (* (cbrt (log h0)) (cbrt (log h0))) (* (cbrt (log h0)) (* (cbrt (log h0)) (cbrt (log h0))))) (fma 1 (log (+ h0 h1)) (- (* (sqrt (log h0)) (sqrt (log h0))))) (fma (- (sqrt (log h0))) (sqrt (log h0)) (* (sqrt (log h0)) (sqrt (log h0)))) (fma 1 (log (+ h0 h1)) (- (* (log h0) 1))) (fma (- (log h0)) 1 (* (log h0) 1)) (expm1 (- (log (+ h0 h1)) (log h0))) (log1p (- (log (+ h0 h1)) (log h0))) (- (log h0)) (- (log h0)) (- (log h0)) (- (log h0)) (/ (+ h0 h1) h0) (log (- (log (+ h0 h1)) (log h0))) (exp (- (log (+ h0 h1)) (log h0))) (* (cbrt (- (log (+ h0 h1)) (log h0))) (cbrt (- (log (+ h0 h1)) (log h0)))) (cbrt (- (log (+ h0 h1)) (log h0))) (* (* (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0))) (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (sqrt (- (log (+ h0 h1)) (log h0))) (- (pow (log (+ h0 h1)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 h1)) (log (+ h0 h1))) (+ (* (log h0) (log h0)) (* (log (+ h0 h1)) (log h0)))) (- (log h0)) (- (* (log (+ h0 h1)) (log (+ h0 h1))) (* (log h0) (log h0))) (+ (log (+ h0 h1)) (log h0)) (+ (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (sqrt (log (+ h0 h1))) (sqrt (log h0))) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 h1)) (log (sqrt h0))) (- (log (+ h0 h1)) (log 1)) (- (log (cbrt (+ h0 h1))) (log h0)) (- (log (sqrt (+ h0 h1))) (log h0)) (- (log (+ h0 h1)) (log h0)) (- (log (+ h0 h1)) (log h0)) (+ (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log h0)) (+ (log (- h0 h1)) (log h0)) (- (log h0)) (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h3 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 0.222 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.226 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.243 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.338 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.340 * * * [progress]: adding candidates to table 0.462 * * [progress]: iteration 2 / 4 0.462 * * * [progress]: picking best candidate 0.467 * * * * [pick]: Picked # 0.467 * * * [progress]: localizing error 0.472 * * * [progress]: generating rewritten candidates 0.472 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.478 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.500 * * * [progress]: generating series expansions 0.500 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.500 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.500 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.500 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.500 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.500 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.500 * [taylor]: Taking taylor expansion of N in N 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [taylor]: Taking taylor expansion of 1.0 in N 0.500 * [backup-simplify]: Simplify 1.0 into 1.0 0.500 * [taylor]: Taking taylor expansion of N in N 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.501 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.501 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.501 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.501 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.501 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of 1.0 in N 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.502 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.502 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.503 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.503 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.503 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.507 * [backup-simplify]: Simplify 1.0 into 1.0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.513 * [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)) 0.513 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.514 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.514 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.514 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.514 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.514 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of 1.0 in N 0.515 * [backup-simplify]: Simplify 1.0 into 1.0 0.515 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (* 0 1) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.516 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.517 * [backup-simplify]: Simplify (log 1) into 0 0.517 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.517 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.517 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of 1.0 in N 0.517 * [backup-simplify]: Simplify 1.0 into 1.0 0.517 * [backup-simplify]: Simplify (+ 1 0) into 1 0.517 * [backup-simplify]: Simplify (* 0 1) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.518 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.519 * [backup-simplify]: Simplify (log 1) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.524 * [backup-simplify]: Simplify 1.0 into 1.0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.531 * [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 0.531 * [backup-simplify]: Simplify -0.5 into -0.5 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.541 * [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 0.541 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.542 * [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)))) 0.542 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.542 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.542 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.542 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.542 * [taylor]: Taking taylor expansion of -1 in N 0.542 * [backup-simplify]: Simplify -1 into -1 0.542 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.542 * [taylor]: Taking taylor expansion of 1.0 in N 0.542 * [backup-simplify]: Simplify 1.0 into 1.0 0.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [backup-simplify]: Simplify (- 1) into -1 0.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.543 * [backup-simplify]: Simplify (* 0 -1) into 0 0.543 * [backup-simplify]: Simplify (* -1 0) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (- 0) into 0 0.544 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.544 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.545 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.545 * [backup-simplify]: Simplify (log 1) into 0 0.545 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.545 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.545 * [taylor]: Taking taylor expansion of -1 in N 0.545 * [backup-simplify]: Simplify -1 into -1 0.545 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.545 * [taylor]: Taking taylor expansion of N in N 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.545 * [taylor]: Taking taylor expansion of 1.0 in N 0.545 * [backup-simplify]: Simplify 1.0 into 1.0 0.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.545 * [taylor]: Taking taylor expansion of N in N 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (- 1) into -1 0.546 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.546 * [backup-simplify]: Simplify (* 0 -1) into 0 0.546 * [backup-simplify]: Simplify (* -1 0) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.548 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.548 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.548 * [backup-simplify]: Simplify (log 1) into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.552 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.561 * [backup-simplify]: Simplify -1.0 into -1.0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- 0) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.569 * [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 0.569 * [backup-simplify]: Simplify -0.5 into -0.5 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (- 0) into 0 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.572 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.581 * [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 0.581 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.582 * [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)))) 0.582 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.582 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.582 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.582 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.582 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of 1.0 in N 0.582 * [backup-simplify]: Simplify 1.0 into 1.0 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.582 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.582 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.582 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of 1.0 in N 0.583 * [backup-simplify]: Simplify 1.0 into 1.0 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.583 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.583 * [backup-simplify]: Simplify 1.0 into 1.0 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.584 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.590 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.590 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.590 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.590 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [taylor]: Taking taylor expansion of 1.0 in N 0.590 * [backup-simplify]: Simplify 1.0 into 1.0 0.590 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.590 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [taylor]: Taking taylor expansion of 1.0 in N 0.590 * [backup-simplify]: Simplify 1.0 into 1.0 0.591 * [backup-simplify]: Simplify (+ 1 0) into 1 0.591 * [backup-simplify]: Simplify (* 0 1) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.592 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.592 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [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 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.604 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.604 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.604 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.604 * [taylor]: Taking taylor expansion of -1 in N 0.604 * [backup-simplify]: Simplify -1 into -1 0.604 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [backup-simplify]: Simplify 1.0 into 1.0 0.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.605 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.605 * [taylor]: Taking taylor expansion of -1 in N 0.605 * [backup-simplify]: Simplify -1 into -1 0.605 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.605 * [taylor]: Taking taylor expansion of 1.0 in N 0.605 * [backup-simplify]: Simplify 1.0 into 1.0 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.605 * [backup-simplify]: Simplify (- 1) into -1 0.606 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.606 * [backup-simplify]: Simplify (* 0 -1) into 0 0.606 * [backup-simplify]: Simplify (* -1 0) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.607 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.608 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.611 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.611 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.616 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.618 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- 0) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [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 0.622 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.627 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.628 * * * [progress]: simplifying candidates 0.629 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.629 * [simplify]: Sending expressions to egg_math: (expm1 (log (/ (+ h0 h1) h0))) (log1p (log (/ (+ h0 h1) h0))) (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (expm1 (/ (+ h0 h1) h0)) (log1p (/ (+ h0 h1) h0)) (- (log (+ h0 h1)) (log h0)) (log (/ (+ h0 h1) h0)) (exp (/ (+ h0 h1) h0)) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0))) (cbrt (/ (+ h0 h1) h0)) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (sqrt (/ (+ h0 h1) h0)) (- (+ h0 h1)) (- h0) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 h1)) (cbrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0)) (/ (cbrt (+ h0 h1)) (sqrt h0)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 h1)) (cbrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) (sqrt h0)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h3 (/ 1 (pow h0 2)))) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) (+ (* h1 (/ 1 h0)) 1) 0.633 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.637 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.651 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.729 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.731 * * * [progress]: adding candidates to table 0.850 * * [progress]: iteration 3 / 4 0.850 * * * [progress]: picking best candidate 0.854 * * * * [pick]: Picked # 0.854 * * * [progress]: localizing error 0.865 * * * [progress]: generating rewritten candidates 0.865 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.865 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.874 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.880 * * * [progress]: generating series expansions 0.880 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.880 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) into (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) 0.880 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in (N) around 0 0.880 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in N 0.881 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) (log (/ 1 N))) 0.881 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) in N 0.881 * [taylor]: Taking taylor expansion of (pow (pow (log (+ N 1.0)) 2) 1/3) in N 0.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ N 1.0)) 2)))) in N 0.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ N 1.0)) 2))) in N 0.881 * [taylor]: Taking taylor expansion of 1/3 in N 0.881 * [backup-simplify]: Simplify 1/3 into 1/3 0.881 * [taylor]: Taking taylor expansion of (log (pow (log (+ N 1.0)) 2)) in N 0.881 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 0.881 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.881 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.882 * [taylor]: Taking taylor expansion of N in N 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [taylor]: Taking taylor expansion of 1.0 in N 0.882 * [backup-simplify]: Simplify 1.0 into 1.0 0.882 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.882 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.883 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 0.884 * [backup-simplify]: Simplify (log (pow (log 1.0) 2)) into (log (pow (log 1.0) 2)) 0.885 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 1.0) 2))) into (* 1/3 (log (pow (log 1.0) 2))) 0.887 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 1.0) 2)))) into (pow (pow (log 1.0) 2) 1/3) 0.887 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 1/3) in N 0.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1.0))))) in N 0.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ N 1.0)))) in N 0.887 * [taylor]: Taking taylor expansion of 1/3 in N 0.887 * [backup-simplify]: Simplify 1/3 into 1/3 0.887 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.887 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.887 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.887 * [taylor]: Taking taylor expansion of N in N 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [taylor]: Taking taylor expansion of 1.0 in N 0.887 * [backup-simplify]: Simplify 1.0 into 1.0 0.888 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.888 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.888 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 0.889 * [backup-simplify]: Simplify (* 1/3 (log (log 1.0))) into (* 1/3 (log (log 1.0))) 0.890 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 1.0)))) into (pow (log 1.0) 1/3) 0.890 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.891 * [taylor]: Taking taylor expansion of N in N 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [backup-simplify]: Simplify (log 1) into 0 0.891 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in N 0.891 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) (log (/ 1 N))) 0.891 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) in N 0.891 * [taylor]: Taking taylor expansion of (pow (pow (log (+ N 1.0)) 2) 1/3) in N 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ N 1.0)) 2)))) in N 0.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ N 1.0)) 2))) in N 0.891 * [taylor]: Taking taylor expansion of 1/3 in N 0.891 * [backup-simplify]: Simplify 1/3 into 1/3 0.891 * [taylor]: Taking taylor expansion of (log (pow (log (+ N 1.0)) 2)) in N 0.891 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 0.891 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.891 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.891 * [taylor]: Taking taylor expansion of N in N 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [taylor]: Taking taylor expansion of 1.0 in N 0.891 * [backup-simplify]: Simplify 1.0 into 1.0 0.892 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.892 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.893 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 0.894 * [backup-simplify]: Simplify (log (pow (log 1.0) 2)) into (log (pow (log 1.0) 2)) 0.895 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 1.0) 2))) into (* 1/3 (log (pow (log 1.0) 2))) 0.897 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 1.0) 2)))) into (pow (pow (log 1.0) 2) 1/3) 0.897 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 1/3) in N 0.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1.0))))) in N 0.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ N 1.0)))) in N 0.897 * [taylor]: Taking taylor expansion of 1/3 in N 0.897 * [backup-simplify]: Simplify 1/3 into 1/3 0.897 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.897 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.897 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.897 * [taylor]: Taking taylor expansion of N in N 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [taylor]: Taking taylor expansion of 1.0 in N 0.897 * [backup-simplify]: Simplify 1.0 into 1.0 0.897 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.897 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.898 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 0.899 * [backup-simplify]: Simplify (* 1/3 (log (log 1.0))) into (* 1/3 (log (log 1.0))) 0.900 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 1.0)))) into (pow (log 1.0) 1/3) 0.900 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (/ 1 1) into 1 0.900 * [backup-simplify]: Simplify (log 1) into 0 0.902 * [backup-simplify]: Simplify (* (pow (pow (log 1.0) 2) 1/3) (pow (log 1.0) 1/3)) into (log 1.0) 0.903 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.903 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.903 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.904 * [backup-simplify]: Simplify (+ 1 0) into 1 0.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (log 1.0) 1)))) 1) into (/ 1.0 (log 1.0)) 0.917 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1.0 (log 1.0))) (* 0 (log (log 1.0)))) into (* 0.3333333333333333 (/ 1 (log 1.0))) 0.922 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 1.0)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (log 1.0))) 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3)) 0.923 * [backup-simplify]: Simplify (+ 1 0) into 1 0.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.927 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 0.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2.0 (log 1.0))) 1)) (pow (pow (log 1.0) 2) 1)))) 1) into (/ 2.0 (log 1.0)) 0.936 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2.0 (log 1.0))) (* 0 (log (pow (log 1.0) 2)))) into (* 0.6666666666666666 (/ 1 (log 1.0))) 0.942 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 1.0) 2)))) (+ (* (/ (pow (* 0.6666666666666666 (/ 1 (log 1.0))) 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) 0.949 * [backup-simplify]: Simplify (+ (* (pow (pow (log 1.0) 2) 1/3) (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3))) (* (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) (pow (log 1.0) 1/3))) into 1.0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.951 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.951 * [backup-simplify]: Simplify 1.0 into 1.0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.967 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (log 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (pow 1.0 2))) 1)) (pow (log 1.0) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2))))) 0.975 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2)))))) (+ (* 0 (/ 1.0 (log 1.0))) (* 0 (log (log 1.0))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 0.999 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 1.0)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (log 1.0))) 2) 2)) (* (/ (pow (- (+ (* 0.16666666666666666 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1) 1)))) into (* -1 (* (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2))))) (pow (log 1.0) 1/3))) 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [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)) 1.008 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 1.023 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2.0 (log 1.0))) 2)) (pow (pow (log 1.0) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0 (/ (log 1.0) (pow 1.0 2)))) 1)) (pow (pow (log 1.0) 2) 1)))) 2) into (* -1/2 (+ (* 2.0 (/ 1 (pow (log 1.0) 2))) (* 2 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1.032 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 2.0 (/ 1 (pow (log 1.0) 2))) (* 2 (/ 1 (* (log 1.0) (pow 1.0 2))))))) (+ (* 0 (/ 2.0 (log 1.0))) (* 0 (log (pow (log 1.0) 2))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1.051 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 1.0) 2)))) (+ (* (/ (pow (* 0.6666666666666666 (/ 1 (log 1.0))) 2) 2)) (* (/ (pow (- (+ (* 0.3333333333333333 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1) 1)))) into (* -1 (* (pow (pow (log 1.0) 2) 1/3) (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2))))))) 1.087 * [backup-simplify]: Simplify (+ (* (pow (pow (log 1.0) 2) 1/3) (* -1 (* (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2))))) (pow (log 1.0) 1/3)))) (+ (* (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3))) (* (* -1 (* (pow (pow (log 1.0) 2) 1/3) (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2))))))) (pow (log 1.0) 1/3)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.092 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (pow 1.0 2)))) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.093 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.095 * [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))) 1.096 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ (/ 1 N) 1.0))) (cbrt (log (+ (/ 1 N) 1.0)))) (cbrt (log (+ (/ 1 N) 1.0))) (log (/ 1 (/ 1 N)))) into (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) 1.096 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in (N) around 0 1.096 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in N 1.096 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) (log N)) 1.096 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) in N 1.096 * [taylor]: Taking taylor expansion of (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) in N 1.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2)))) in N 1.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2))) in N 1.096 * [taylor]: Taking taylor expansion of 1/3 in N 1.096 * [backup-simplify]: Simplify 1/3 into 1/3 1.096 * [taylor]: Taking taylor expansion of (log (pow (log (+ (/ 1 N) 1.0)) 2)) in N 1.096 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.096 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [taylor]: Taking taylor expansion of 1.0 in N 1.097 * [backup-simplify]: Simplify 1.0 into 1.0 1.097 * [backup-simplify]: Simplify (+ 1 0) into 1 1.097 * [backup-simplify]: Simplify (log 1) into 0 1.097 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.098 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.098 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.098 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1.098 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 1.098 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 1.098 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 1.098 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 1/3) in N 1.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1.0))))) in N 1.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1.0)))) in N 1.098 * [taylor]: Taking taylor expansion of 1/3 in N 1.098 * [backup-simplify]: Simplify 1/3 into 1/3 1.098 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 1.098 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.098 * [taylor]: Taking taylor expansion of N in N 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (/ 1 1) into 1 1.099 * [taylor]: Taking taylor expansion of 1.0 in N 1.099 * [backup-simplify]: Simplify 1.0 into 1.0 1.099 * [backup-simplify]: Simplify (+ 1 0) into 1 1.099 * [backup-simplify]: Simplify (log 1) into 0 1.100 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.100 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.100 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 1.100 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1.100 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1.100 * [taylor]: Taking taylor expansion of (log N) in N 1.100 * [taylor]: Taking taylor expansion of N in N 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (log 1) into 0 1.100 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in N 1.100 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) (log N)) 1.100 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) in N 1.101 * [taylor]: Taking taylor expansion of (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) in N 1.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2)))) in N 1.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2))) in N 1.101 * [taylor]: Taking taylor expansion of 1/3 in N 1.101 * [backup-simplify]: Simplify 1/3 into 1/3 1.101 * [taylor]: Taking taylor expansion of (log (pow (log (+ (/ 1 N) 1.0)) 2)) in N 1.101 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.101 * [taylor]: Taking taylor expansion of N in N 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [taylor]: Taking taylor expansion of 1.0 in N 1.101 * [backup-simplify]: Simplify 1.0 into 1.0 1.101 * [backup-simplify]: Simplify (+ 1 0) into 1 1.101 * [backup-simplify]: Simplify (log 1) into 0 1.102 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.102 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.102 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.102 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1.102 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 1.103 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 1.103 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 1.103 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 1/3) in N 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1.0))))) in N 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1.0)))) in N 1.103 * [taylor]: Taking taylor expansion of 1/3 in N 1.103 * [backup-simplify]: Simplify 1/3 into 1/3 1.103 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 1.103 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.103 * [taylor]: Taking taylor expansion of N in N 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [backup-simplify]: Simplify 1.0 into 1.0 1.103 * [backup-simplify]: Simplify (+ 1 0) into 1 1.104 * [backup-simplify]: Simplify (log 1) into 0 1.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.104 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.104 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 1.104 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1.104 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1.104 * [taylor]: Taking taylor expansion of (log N) in N 1.104 * [taylor]: Taking taylor expansion of N in N 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (log 1) into 0 1.105 * [backup-simplify]: Simplify (* (pow (pow (log N) 2) 1/3) (pow (- (log N)) 1/3)) into (* (pow -1 1/3) (log N)) 1.105 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.106 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) 1.106 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) 1.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.107 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.111 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log N)) 1)))) 1) into (/ -1.0 (log N)) 1.112 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1.0 (log N))) (* 0 (log (- (log N))))) into (- (* 0.3333333333333333 (/ 1 (log N)))) 1.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N)))) 1) 1)))) into (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3)) 1.112 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.117 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.117 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 1.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 1) into (/ -2.0 (log N)) 1.117 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2.0 (log N))) (* 0 (log (pow (log N) 2)))) into (- (* 0.6666666666666666 (/ 1 (log N)))) 1.118 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ 1 (log N)))) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) 1.118 * [backup-simplify]: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) (pow (- (log N)) 1/3))) into (- (* 1.0 (pow -1 1/3))) 1.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.120 * [backup-simplify]: Simplify (+ (- (* 1.0 (pow -1 1/3))) 0) into (- (* 1.0 (pow -1 1/3))) 1.121 * [backup-simplify]: Simplify (- (* 1.0 (pow -1 1/3))) into (- (* 1.0 (pow -1 1/3))) 1.122 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [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 1.128 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2))))) 1.131 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -1.0 (log N))) (* 0 (log (- (log N)))))) into (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.16666666666666666 (/ 1 (pow (log N) 2)))) 1.132 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.16666666666666666 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* -1 (log N)) 1/3) (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2))))) 1.132 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [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 1.139 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.139 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ 1.0 (* 1.0 (log N))) 1.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2.0 (log N)))) 2)) (pow (pow (log N) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (+ 1.0 (* 1.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 2) into (* 1/2 (- (* 2.0 (/ 1 (log N))) (* 2.0 (/ 1 (pow (log N) 2))))) 1.140 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2.0 (/ 1 (log N))) (* 2.0 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -2.0 (log N))) (* 0 (log (pow (log N) 2))))) into (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.3333333333333333 (/ 1 (pow (log N) 2)))) 1.141 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.3333333333333333 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))) (pow (pow (log N) 2) 1/3)) 1.142 * [backup-simplify]: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* (pow (* -1 (log N)) 1/3) (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))))) (+ (* (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))) (pow (pow (log N) 2) 1/3)) (pow (- (log N)) 1/3)))) into (* 0.5 (pow -1 1/3)) 1.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.144 * [backup-simplify]: Simplify (+ (* 0.5 (pow -1 1/3)) 0) into (* 0.5 (pow -1 1/3)) 1.145 * [backup-simplify]: Simplify (* 0.5 (pow -1 1/3)) into (* 0.5 (pow -1 1/3)) 1.147 * [backup-simplify]: Simplify (+ (* (* 0.5 (pow -1 1/3)) (pow (/ 1 N) 2)) (+ (* (- (* 1.0 (pow -1 1/3))) (/ 1 N)) (+ (* (pow -1 1/3) (log (/ 1 N))) (log (/ 1 N))))) into (- (+ (* (pow -1 1/3) (log (/ 1 N))) (+ (* 0.5 (* (pow -1 1/3) (/ 1 (pow N 2)))) (log (/ 1 N)))) (* 1.0 (* (pow -1 1/3) (/ 1 N)))) 1.148 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ (/ 1 (- N)) 1.0))) (cbrt (log (+ (/ 1 (- N)) 1.0)))) (cbrt (log (+ (/ 1 (- N)) 1.0))) (log (/ 1 (/ 1 (- N))))) into (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) 1.148 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in (N) around 0 1.148 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in N 1.148 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) (log (* -1 N))) 1.148 * [taylor]: Taking taylor expansion of (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) in N 1.148 * [taylor]: Taking taylor expansion of (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) in N 1.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2)))) in N 1.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2))) in N 1.148 * [taylor]: Taking taylor expansion of 1/3 in N 1.148 * [backup-simplify]: Simplify 1/3 into 1/3 1.148 * [taylor]: Taking taylor expansion of (log (pow (log (- 1.0 (/ 1 N))) 2)) in N 1.148 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 1.148 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.148 * [taylor]: Taking taylor expansion of 1.0 in N 1.148 * [backup-simplify]: Simplify 1.0 into 1.0 1.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.148 * [taylor]: Taking taylor expansion of N in N 1.148 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify 1 into 1 1.148 * [backup-simplify]: Simplify (/ 1 1) into 1 1.148 * [backup-simplify]: Simplify (- 1) into -1 1.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.149 * [backup-simplify]: Simplify (log -1) into (log -1) 1.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.151 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1.151 * [backup-simplify]: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 1.152 * [backup-simplify]: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 1.152 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 1.152 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 1/3) in N 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 N)))))) in N 1.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 N))))) in N 1.152 * [taylor]: Taking taylor expansion of 1/3 in N 1.152 * [backup-simplify]: Simplify 1/3 into 1/3 1.152 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 1.152 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.152 * [taylor]: Taking taylor expansion of 1.0 in N 1.152 * [backup-simplify]: Simplify 1.0 into 1.0 1.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.153 * [backup-simplify]: Simplify (- 1) into -1 1.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.153 * [backup-simplify]: Simplify (log -1) into (log -1) 1.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.154 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1.155 * [backup-simplify]: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1.155 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1.155 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 1.155 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.155 * [taylor]: Taking taylor expansion of -1 in N 1.155 * [backup-simplify]: Simplify -1 into -1 1.155 * [taylor]: Taking taylor expansion of N in N 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (* -1 0) into 0 1.156 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.156 * [backup-simplify]: Simplify (log -1) into (log -1) 1.156 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in N 1.156 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) (log (* -1 N))) 1.156 * [taylor]: Taking taylor expansion of (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) in N 1.156 * [taylor]: Taking taylor expansion of (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) in N 1.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2)))) in N 1.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2))) in N 1.156 * [taylor]: Taking taylor expansion of 1/3 in N 1.156 * [backup-simplify]: Simplify 1/3 into 1/3 1.156 * [taylor]: Taking taylor expansion of (log (pow (log (- 1.0 (/ 1 N))) 2)) in N 1.156 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 1.156 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.156 * [taylor]: Taking taylor expansion of 1.0 in N 1.156 * [backup-simplify]: Simplify 1.0 into 1.0 1.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.156 * [taylor]: Taking taylor expansion of N in N 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (/ 1 1) into 1 1.157 * [backup-simplify]: Simplify (- 1) into -1 1.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.157 * [backup-simplify]: Simplify (log -1) into (log -1) 1.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.159 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1.159 * [backup-simplify]: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 1.160 * [backup-simplify]: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 1.160 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 1.160 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 1/3) in N 1.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 N)))))) in N 1.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 N))))) in N 1.160 * [taylor]: Taking taylor expansion of 1/3 in N 1.160 * [backup-simplify]: Simplify 1/3 into 1/3 1.160 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 1.160 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.160 * [taylor]: Taking taylor expansion of 1.0 in N 1.160 * [backup-simplify]: Simplify 1.0 into 1.0 1.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.160 * [taylor]: Taking taylor expansion of N in N 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify (/ 1 1) into 1 1.161 * [backup-simplify]: Simplify (- 1) into -1 1.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.161 * [backup-simplify]: Simplify (log -1) into (log -1) 1.162 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.162 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.163 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1.163 * [backup-simplify]: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1.163 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1.163 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 1.163 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.163 * [taylor]: Taking taylor expansion of -1 in N 1.163 * [backup-simplify]: Simplify -1 into -1 1.163 * [taylor]: Taking taylor expansion of N in N 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (* -1 0) into 0 1.164 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.164 * [backup-simplify]: Simplify (log -1) into (log -1) 1.165 * [backup-simplify]: Simplify (* (pow (pow (- (log -1) (log N)) 2) 1/3) (pow (- (log -1) (log N)) 1/3)) into (- (log -1) (log N)) 1.165 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log -1) (log N)) 1.166 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (+ (log -1) (log N))) into (* 2 (log -1)) 1.166 * [backup-simplify]: Simplify (* 2 (log -1)) into (* 2 (log -1)) 1.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1.0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1.0 (- (log -1) (log N))) 1.179 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1.0 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 1.180 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 1.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (- 0) into 0 1.181 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.186 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 1.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2.0 (log N)) (* 2.0 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 1) into (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1.189 * [backup-simplify]: Simplify (+ (* 1/3 (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2)))) into (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1.190 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1) 1)))) into (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) 1.193 * [backup-simplify]: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3))) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 1.193 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.196 * [backup-simplify]: Simplify (+ (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 0) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 1.199 * [backup-simplify]: Simplify (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 1.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [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 1.206 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1.0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2))))) 1.210 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2)))))) (+ (* 0 (/ -1.0 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.16666666666666666 (/ 1 (pow (- (log -1) (log N)) 2))))) 1.212 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.16666666666666666 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* -1 (* (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.1111111111111111 (/ 1 (pow (- (log -1) (log N)) 2)))) (pow (- (log -1) (log N)) 1/3))) 1.212 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.213 * [backup-simplify]: Simplify (+ 0 0) into 0 1.219 * [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 1.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.220 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1))) 1.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2.0 (log N)) (* 2.0 (log -1)))) 2)) (pow (pow (- (log -1) (log N)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 2) into (* 1/2 (- (+ (* 2.0 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 8.0 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 4.0 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 4.0 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) 1.228 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2.0 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 8.0 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 4.0 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 4.0 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))))) (+ (* 0 (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2))))) into (- (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))) 1.234 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2) 2)) (* (/ (pow (- (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))) 1) 1)))) into (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.8888888888888888 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.4444444444444444 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) 1.242 * [backup-simplify]: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1 (* (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.1111111111111111 (/ 1 (pow (- (log -1) (log N)) 2)))) (pow (- (log -1) (log N)) 1/3)))) (+ (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.8888888888888888 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.4444444444444444 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) (pow (- (log -1) (log N)) 1/3)))) into (- (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 1.243 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.253 * [backup-simplify]: Simplify (+ (- (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 0) into (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 1.266 * [backup-simplify]: Simplify (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) into (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 1.280 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.16666666666666666 (/ (log (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 0.6666666666666666 (/ (* (log -1) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.4444444444444444 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log (/ 1 (- N)))))) (+ (* 0.4444444444444445 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.3333333333333333 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 4))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1.3333333333333333 (/ (* (log -1) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.6666666666666666 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) 0.3333333333333333))) (/ 1 (- N))) (* 2 (log -1)))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (+ (* 2 (log -1)) (+ (* 0.4444444444444445 (/ (log -1) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 0.16666666666666666 (/ (log (/ -1 N)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (* 0.4444444444444444 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))))))))))) (+ (* 1.3333333333333333 (/ (* (log -1) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 1.3333333333333333 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.16666666666666666 (/ (log -1) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 0.4444444444444445 (/ (log (/ -1 N)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.3333333333333333 (/ (pow (log (/ -1 N)) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (* 0.3333333333333333 (/ (pow (log -1) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2))))))))))) 1.280 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.280 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 1.280 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.280 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.280 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.280 * [taylor]: Taking taylor expansion of N in N 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [taylor]: Taking taylor expansion of 1.0 in N 1.280 * [backup-simplify]: Simplify 1.0 into 1.0 1.281 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.281 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.281 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.281 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.281 * [taylor]: Taking taylor expansion of N in N 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [taylor]: Taking taylor expansion of 1.0 in N 1.281 * [backup-simplify]: Simplify 1.0 into 1.0 1.281 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.282 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.282 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.282 * [backup-simplify]: Simplify (+ 1 0) into 1 1.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.285 * [backup-simplify]: Simplify 1.0 into 1.0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [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)) 1.291 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.292 * [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)))) 1.292 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 1.292 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.292 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.292 * [taylor]: Taking taylor expansion of N in N 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (/ 1 1) into 1 1.293 * [taylor]: Taking taylor expansion of 1.0 in N 1.293 * [backup-simplify]: Simplify 1.0 into 1.0 1.293 * [backup-simplify]: Simplify (+ 1 0) into 1 1.293 * [backup-simplify]: Simplify (log 1) into 0 1.293 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (/ 1 1) into 1 1.293 * [taylor]: Taking taylor expansion of 1.0 in N 1.293 * [backup-simplify]: Simplify 1.0 into 1.0 1.294 * [backup-simplify]: Simplify (+ 1 0) into 1 1.294 * [backup-simplify]: Simplify (log 1) into 0 1.294 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.294 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.298 * [backup-simplify]: Simplify 1.0 into 1.0 1.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [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 1.305 * [backup-simplify]: Simplify -0.5 into -0.5 1.305 * [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)))) 1.305 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 1.305 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.305 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.305 * [taylor]: Taking taylor expansion of 1.0 in N 1.305 * [backup-simplify]: Simplify 1.0 into 1.0 1.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.305 * [taylor]: Taking taylor expansion of N in N 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (/ 1 1) into 1 1.306 * [backup-simplify]: Simplify (- 1) into -1 1.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.306 * [backup-simplify]: Simplify (log -1) into (log -1) 1.306 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.306 * [taylor]: Taking taylor expansion of 1.0 in N 1.306 * [backup-simplify]: Simplify 1.0 into 1.0 1.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.306 * [taylor]: Taking taylor expansion of N in N 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.307 * [backup-simplify]: Simplify (/ 1 1) into 1 1.307 * [backup-simplify]: Simplify (- 1) into -1 1.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.307 * [backup-simplify]: Simplify (log -1) into (log -1) 1.308 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.308 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.309 * [backup-simplify]: Simplify (- 0) into 0 1.309 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.313 * [backup-simplify]: Simplify -1.0 into -1.0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [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 1.319 * [backup-simplify]: Simplify -0.5 into -0.5 1.320 * [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)))) 1.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.320 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 1.320 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.320 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.320 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.320 * [taylor]: Taking taylor expansion of N in N 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [taylor]: Taking taylor expansion of 1.0 in N 1.320 * [backup-simplify]: Simplify 1.0 into 1.0 1.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.320 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.320 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.321 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.321 * [taylor]: Taking taylor expansion of N in N 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [taylor]: Taking taylor expansion of 1.0 in N 1.321 * [backup-simplify]: Simplify 1.0 into 1.0 1.321 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.321 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.321 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.322 * [backup-simplify]: Simplify (+ 1 0) into 1 1.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.325 * [backup-simplify]: Simplify 1.0 into 1.0 1.325 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [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)) 1.331 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.332 * [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)))) 1.332 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 1.332 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.332 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.332 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.332 * [taylor]: Taking taylor expansion of N in N 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [backup-simplify]: Simplify (/ 1 1) into 1 1.332 * [taylor]: Taking taylor expansion of 1.0 in N 1.332 * [backup-simplify]: Simplify 1.0 into 1.0 1.332 * [backup-simplify]: Simplify (+ 1 0) into 1 1.333 * [backup-simplify]: Simplify (log 1) into 0 1.333 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.333 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.333 * [taylor]: Taking taylor expansion of N in N 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (/ 1 1) into 1 1.333 * [taylor]: Taking taylor expansion of 1.0 in N 1.333 * [backup-simplify]: Simplify 1.0 into 1.0 1.333 * [backup-simplify]: Simplify (+ 1 0) into 1 1.334 * [backup-simplify]: Simplify (log 1) into 0 1.334 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.334 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.338 * [backup-simplify]: Simplify 1.0 into 1.0 1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.339 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [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 1.344 * [backup-simplify]: Simplify -0.5 into -0.5 1.345 * [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)))) 1.345 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 1.345 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.345 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.345 * [taylor]: Taking taylor expansion of 1.0 in N 1.345 * [backup-simplify]: Simplify 1.0 into 1.0 1.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.345 * [taylor]: Taking taylor expansion of N in N 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.345 * [backup-simplify]: Simplify (/ 1 1) into 1 1.345 * [backup-simplify]: Simplify (- 1) into -1 1.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.346 * [backup-simplify]: Simplify (log -1) into (log -1) 1.346 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.346 * [taylor]: Taking taylor expansion of 1.0 in N 1.346 * [backup-simplify]: Simplify 1.0 into 1.0 1.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (/ 1 1) into 1 1.346 * [backup-simplify]: Simplify (- 1) into -1 1.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.347 * [backup-simplify]: Simplify (log -1) into (log -1) 1.347 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.348 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.348 * [backup-simplify]: Simplify (- 0) into 0 1.348 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.358 * [backup-simplify]: Simplify -1.0 into -1.0 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [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 1.365 * [backup-simplify]: Simplify -0.5 into -0.5 1.365 * [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)))) 1.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.365 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 1.365 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.365 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.365 * [taylor]: Taking taylor expansion of N in N 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [taylor]: Taking taylor expansion of 1.0 in N 1.366 * [backup-simplify]: Simplify 1.0 into 1.0 1.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.366 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.366 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.366 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.366 * [taylor]: Taking taylor expansion of N in N 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [taylor]: Taking taylor expansion of 1.0 in N 1.366 * [backup-simplify]: Simplify 1.0 into 1.0 1.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.367 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.367 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.367 * [backup-simplify]: Simplify (+ 1 0) into 1 1.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.370 * [backup-simplify]: Simplify 1.0 into 1.0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [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)) 1.376 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.377 * [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)))) 1.377 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 1.377 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.377 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.377 * [taylor]: Taking taylor expansion of N in N 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (/ 1 1) into 1 1.378 * [taylor]: Taking taylor expansion of 1.0 in N 1.378 * [backup-simplify]: Simplify 1.0 into 1.0 1.378 * [backup-simplify]: Simplify (+ 1 0) into 1 1.378 * [backup-simplify]: Simplify (log 1) into 0 1.378 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.378 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.378 * [taylor]: Taking taylor expansion of N in N 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (/ 1 1) into 1 1.378 * [taylor]: Taking taylor expansion of 1.0 in N 1.378 * [backup-simplify]: Simplify 1.0 into 1.0 1.379 * [backup-simplify]: Simplify (+ 1 0) into 1 1.379 * [backup-simplify]: Simplify (log 1) into 0 1.379 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.379 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.384 * [backup-simplify]: Simplify 1.0 into 1.0 1.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [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 1.390 * [backup-simplify]: Simplify -0.5 into -0.5 1.390 * [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)))) 1.390 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 1.390 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.390 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.391 * [taylor]: Taking taylor expansion of 1.0 in N 1.391 * [backup-simplify]: Simplify 1.0 into 1.0 1.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.391 * [taylor]: Taking taylor expansion of N in N 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (/ 1 1) into 1 1.391 * [backup-simplify]: Simplify (- 1) into -1 1.391 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.392 * [backup-simplify]: Simplify (log -1) into (log -1) 1.392 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.392 * [taylor]: Taking taylor expansion of 1.0 in N 1.392 * [backup-simplify]: Simplify 1.0 into 1.0 1.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.392 * [taylor]: Taking taylor expansion of N in N 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (/ 1 1) into 1 1.392 * [backup-simplify]: Simplify (- 1) into -1 1.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.393 * [backup-simplify]: Simplify (log -1) into (log -1) 1.393 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.393 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.394 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.398 * [backup-simplify]: Simplify -1.0 into -1.0 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (- 0) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [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 1.405 * [backup-simplify]: Simplify -0.5 into -0.5 1.405 * [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)))) 1.405 * * * [progress]: simplifying candidates 1.407 * [simplify]: Simplifying: (expm1 (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0)))) (log (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (exp (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (cbrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (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))) (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))) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* (pow -1 1/3) (log (/ 1 N))) (+ (* 0.5 (* (pow -1 1/3) (/ 1 (pow N 2)))) (log (/ 1 N)))) (* 1.0 (* (pow -1 1/3) (/ 1 N)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (+ (* 2 (log -1)) (+ (* 0.4444444444444445 (/ (log -1) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 0.16666666666666666 (/ (log (/ -1 N)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (* 0.4444444444444444 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))))))))))) (+ (* 1.3333333333333333 (/ (* (log -1) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 1.3333333333333333 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.16666666666666666 (/ (log -1) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 0.4444444444444445 (/ (log (/ -1 N)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.3333333333333333 (/ (pow (log (/ -1 N)) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (* 0.3333333333333333 (/ (pow (log -1) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2))))))))))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 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)))) (- (* 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)))) 1.407 * [simplify]: Sending expressions to egg_math: (expm1 (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (log1p (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (* (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1)))) (log (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (exp (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (* (cbrt (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (cbrt (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0))))) (cbrt (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (* (* (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (sqrt (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (sqrt (fma (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (log (/ 1 h0)))) (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* (pow -1 1/3) (log (/ 1 h0))) (+ (* h2 (* (pow -1 1/3) (/ 1 (pow h0 2)))) (log (/ 1 h0)))) (* h1 (* (pow -1 1/3) (/ 1 h0)))) (- (+ (* h3 (/ 1 h0)) (+ (* 2 (log -1)) (+ (* h4 (/ (log -1) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 2)))) (+ (* h5 (/ (pow (log (/ -1 h0)) 2) (* (pow (- (log -1) (log (/ -1 h0))) 2) h0))) (+ (* h6 (/ (log (/ -1 h0)) (* (pow h0 2) (- (log -1) (log (/ -1 h0)))))) (+ (* h7 (/ (* (pow (log -1) 2) (log (/ -1 h0))) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 4)))) (+ (* h5 (/ (* (log -1) (log (/ -1 h0))) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 2)))) (+ (* h5 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 h0))) 2) h0))) (* h8 (/ (pow (log (/ -1 h0)) 3) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 4)))))))))))) (+ (* h7 (/ (* (log -1) (log (/ -1 h0))) (* (pow (- (log -1) (log (/ -1 h0))) 2) h0))) (+ (* h7 (/ (* (log -1) (pow (log (/ -1 h0)) 2)) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 4)))) (+ (* h6 (/ (log -1) (* (pow h0 2) (- (log -1) (log (/ -1 h0)))))) (+ (* h4 (/ (log (/ -1 h0)) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 2)))) (+ (* h8 (/ (pow (log -1) 3) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 4)))) (+ (* h3 (/ (pow (log (/ -1 h0)) 2) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 2)))) (* h3 (/ (pow (log -1) 2) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 2))))))))))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 1.413 * * [simplify]: iteration 0 : 435 enodes (cost 668 ) 1.421 * * [simplify]: iteration 1 : 1865 enodes (cost 598 ) 1.450 * * [simplify]: iteration 2 : 5002 enodes (cost 583 ) 1.453 * * * [progress]: adding candidates to table 1.692 * * [progress]: iteration 4 / 4 1.692 * * * [progress]: picking best candidate 1.697 * * * * [pick]: Picked # 1.697 * * * [progress]: localizing error 1.718 * * * [progress]: generating rewritten candidates 1.718 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.719 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.719 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.719 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.724 * * * [progress]: generating series expansions 1.724 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.725 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) into (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) 1.725 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in (N) around 0 1.725 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in N 1.725 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) (log (/ 1 N))) 1.725 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) in N 1.725 * [taylor]: Taking taylor expansion of (pow (pow (log (+ N 1.0)) 2) 1/3) in N 1.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ N 1.0)) 2)))) in N 1.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ N 1.0)) 2))) in N 1.725 * [taylor]: Taking taylor expansion of 1/3 in N 1.725 * [backup-simplify]: Simplify 1/3 into 1/3 1.725 * [taylor]: Taking taylor expansion of (log (pow (log (+ N 1.0)) 2)) in N 1.725 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 1.725 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.725 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.725 * [taylor]: Taking taylor expansion of N in N 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [taylor]: Taking taylor expansion of 1.0 in N 1.725 * [backup-simplify]: Simplify 1.0 into 1.0 1.726 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.726 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.727 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 1.728 * [backup-simplify]: Simplify (log (pow (log 1.0) 2)) into (log (pow (log 1.0) 2)) 1.729 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 1.0) 2))) into (* 1/3 (log (pow (log 1.0) 2))) 1.731 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 1.0) 2)))) into (pow (pow (log 1.0) 2) 1/3) 1.731 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 1/3) in N 1.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1.0))))) in N 1.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ N 1.0)))) in N 1.731 * [taylor]: Taking taylor expansion of 1/3 in N 1.731 * [backup-simplify]: Simplify 1/3 into 1/3 1.731 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 1.731 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.731 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.731 * [taylor]: Taking taylor expansion of N in N 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [taylor]: Taking taylor expansion of 1.0 in N 1.731 * [backup-simplify]: Simplify 1.0 into 1.0 1.732 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.732 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.732 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 1.733 * [backup-simplify]: Simplify (* 1/3 (log (log 1.0))) into (* 1/3 (log (log 1.0))) 1.734 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 1.0)))) into (pow (log 1.0) 1/3) 1.734 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.734 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.734 * [taylor]: Taking taylor expansion of N in N 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [backup-simplify]: Simplify (log 1) into 0 1.735 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in N 1.735 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) (log (/ 1 N))) 1.735 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) in N 1.735 * [taylor]: Taking taylor expansion of (pow (pow (log (+ N 1.0)) 2) 1/3) in N 1.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ N 1.0)) 2)))) in N 1.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ N 1.0)) 2))) in N 1.735 * [taylor]: Taking taylor expansion of 1/3 in N 1.735 * [backup-simplify]: Simplify 1/3 into 1/3 1.735 * [taylor]: Taking taylor expansion of (log (pow (log (+ N 1.0)) 2)) in N 1.735 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 1.735 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.735 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.735 * [taylor]: Taking taylor expansion of N in N 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [taylor]: Taking taylor expansion of 1.0 in N 1.735 * [backup-simplify]: Simplify 1.0 into 1.0 1.736 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.736 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.737 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 1.738 * [backup-simplify]: Simplify (log (pow (log 1.0) 2)) into (log (pow (log 1.0) 2)) 1.739 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 1.0) 2))) into (* 1/3 (log (pow (log 1.0) 2))) 1.741 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 1.0) 2)))) into (pow (pow (log 1.0) 2) 1/3) 1.741 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 1/3) in N 1.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1.0))))) in N 1.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ N 1.0)))) in N 1.741 * [taylor]: Taking taylor expansion of 1/3 in N 1.741 * [backup-simplify]: Simplify 1/3 into 1/3 1.741 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 1.741 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.741 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.741 * [taylor]: Taking taylor expansion of N in N 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.741 * [taylor]: Taking taylor expansion of 1.0 in N 1.741 * [backup-simplify]: Simplify 1.0 into 1.0 1.741 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.741 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.742 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 1.743 * [backup-simplify]: Simplify (* 1/3 (log (log 1.0))) into (* 1/3 (log (log 1.0))) 1.744 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 1.0)))) into (pow (log 1.0) 1/3) 1.744 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.744 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.744 * [taylor]: Taking taylor expansion of N in N 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [backup-simplify]: Simplify (log 1) into 0 1.747 * [backup-simplify]: Simplify (* (pow (pow (log 1.0) 2) 1/3) (pow (log 1.0) 1/3)) into (log 1.0) 1.747 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.747 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 1.747 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.748 * [backup-simplify]: Simplify (+ 1 0) into 1 1.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (log 1.0) 1)))) 1) into (/ 1.0 (log 1.0)) 1.757 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1.0 (log 1.0))) (* 0 (log (log 1.0)))) into (* 0.3333333333333333 (/ 1 (log 1.0))) 1.762 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 1.0)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (log 1.0))) 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3)) 1.762 * [backup-simplify]: Simplify (+ 1 0) into 1 1.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.766 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 1.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2.0 (log 1.0))) 1)) (pow (pow (log 1.0) 2) 1)))) 1) into (/ 2.0 (log 1.0)) 1.775 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2.0 (log 1.0))) (* 0 (log (pow (log 1.0) 2)))) into (* 0.6666666666666666 (/ 1 (log 1.0))) 1.781 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 1.0) 2)))) (+ (* (/ (pow (* 0.6666666666666666 (/ 1 (log 1.0))) 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) 1.795 * [backup-simplify]: Simplify (+ (* (pow (pow (log 1.0) 2) 1/3) (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3))) (* (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) (pow (log 1.0) 1/3))) into 1.0 1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.796 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.796 * [backup-simplify]: Simplify 1.0 into 1.0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [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)) 1.812 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (log 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (pow 1.0 2))) 1)) (pow (log 1.0) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2))))) 1.820 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2)))))) (+ (* 0 (/ 1.0 (log 1.0))) (* 0 (log (log 1.0))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1.837 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 1.0)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (log 1.0))) 2) 2)) (* (/ (pow (- (+ (* 0.16666666666666666 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1) 1)))) into (* -1 (* (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2))))) (pow (log 1.0) 1/3))) 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [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)) 1.847 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 1.861 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2.0 (log 1.0))) 2)) (pow (pow (log 1.0) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0 (/ (log 1.0) (pow 1.0 2)))) 1)) (pow (pow (log 1.0) 2) 1)))) 2) into (* -1/2 (+ (* 2.0 (/ 1 (pow (log 1.0) 2))) (* 2 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1.876 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 2.0 (/ 1 (pow (log 1.0) 2))) (* 2 (/ 1 (* (log 1.0) (pow 1.0 2))))))) (+ (* 0 (/ 2.0 (log 1.0))) (* 0 (log (pow (log 1.0) 2))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1.896 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 1.0) 2)))) (+ (* (/ (pow (* 0.6666666666666666 (/ 1 (log 1.0))) 2) 2)) (* (/ (pow (- (+ (* 0.3333333333333333 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1) 1)))) into (* -1 (* (pow (pow (log 1.0) 2) 1/3) (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2))))))) 1.926 * [backup-simplify]: Simplify (+ (* (pow (pow (log 1.0) 2) 1/3) (* -1 (* (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2))))) (pow (log 1.0) 1/3)))) (+ (* (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3))) (* (* -1 (* (pow (pow (log 1.0) 2) 1/3) (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2))))))) (pow (log 1.0) 1/3)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.930 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (pow 1.0 2)))) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.931 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.933 * [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))) 1.935 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ (/ 1 N) 1.0))) (cbrt (log (+ (/ 1 N) 1.0)))) (cbrt (log (+ (/ 1 N) 1.0))) (log (/ 1 (/ 1 N)))) into (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) 1.935 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in (N) around 0 1.935 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in N 1.935 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) (log N)) 1.935 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) in N 1.935 * [taylor]: Taking taylor expansion of (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) in N 1.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2)))) in N 1.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2))) in N 1.935 * [taylor]: Taking taylor expansion of 1/3 in N 1.935 * [backup-simplify]: Simplify 1/3 into 1/3 1.935 * [taylor]: Taking taylor expansion of (log (pow (log (+ (/ 1 N) 1.0)) 2)) in N 1.935 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.935 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.935 * [taylor]: Taking taylor expansion of N in N 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of 1.0 in N 1.935 * [backup-simplify]: Simplify 1.0 into 1.0 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.936 * [backup-simplify]: Simplify (log 1) into 0 1.936 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.936 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.937 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.937 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1.937 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 1.937 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 1.937 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 1.937 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 1/3) in N 1.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1.0))))) in N 1.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1.0)))) in N 1.937 * [taylor]: Taking taylor expansion of 1/3 in N 1.937 * [backup-simplify]: Simplify 1/3 into 1/3 1.937 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 1.937 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.937 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.937 * [taylor]: Taking taylor expansion of N in N 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [taylor]: Taking taylor expansion of 1.0 in N 1.938 * [backup-simplify]: Simplify 1.0 into 1.0 1.938 * [backup-simplify]: Simplify (+ 1 0) into 1 1.938 * [backup-simplify]: Simplify (log 1) into 0 1.938 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.939 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.939 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 1.939 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1.939 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1.939 * [taylor]: Taking taylor expansion of (log N) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (log 1) into 0 1.939 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in N 1.939 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) (log N)) 1.939 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) in N 1.939 * [taylor]: Taking taylor expansion of (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) in N 1.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2)))) in N 1.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2))) in N 1.939 * [taylor]: Taking taylor expansion of 1/3 in N 1.939 * [backup-simplify]: Simplify 1/3 into 1/3 1.939 * [taylor]: Taking taylor expansion of (log (pow (log (+ (/ 1 N) 1.0)) 2)) in N 1.939 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.939 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.939 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [taylor]: Taking taylor expansion of 1.0 in N 1.940 * [backup-simplify]: Simplify 1.0 into 1.0 1.940 * [backup-simplify]: Simplify (+ 1 0) into 1 1.940 * [backup-simplify]: Simplify (log 1) into 0 1.940 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.941 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.941 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.941 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1.941 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 1.941 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 1.941 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 1.941 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 1/3) in N 1.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1.0))))) in N 1.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1.0)))) in N 1.941 * [taylor]: Taking taylor expansion of 1/3 in N 1.941 * [backup-simplify]: Simplify 1/3 into 1/3 1.941 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 1.942 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.942 * [taylor]: Taking taylor expansion of N in N 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [taylor]: Taking taylor expansion of 1.0 in N 1.942 * [backup-simplify]: Simplify 1.0 into 1.0 1.942 * [backup-simplify]: Simplify (+ 1 0) into 1 1.942 * [backup-simplify]: Simplify (log 1) into 0 1.943 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.943 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.943 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 1.943 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 1.943 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 1.943 * [taylor]: Taking taylor expansion of (log N) in N 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (log 1) into 0 1.944 * [backup-simplify]: Simplify (* (pow (pow (log N) 2) 1/3) (pow (- (log N)) 1/3)) into (* (pow -1 1/3) (log N)) 1.944 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.944 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) 1.944 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.949 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log N)) 1)))) 1) into (/ -1.0 (log N)) 1.950 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1.0 (log N))) (* 0 (log (- (log N))))) into (- (* 0.3333333333333333 (/ 1 (log N)))) 1.950 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N)))) 1) 1)))) into (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3)) 1.950 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.955 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.955 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 1.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 1) into (/ -2.0 (log N)) 1.955 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2.0 (log N))) (* 0 (log (pow (log N) 2)))) into (- (* 0.6666666666666666 (/ 1 (log N)))) 1.955 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ 1 (log N)))) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) 1.956 * [backup-simplify]: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) (pow (- (log N)) 1/3))) into (- (* 1.0 (pow -1 1/3))) 1.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.965 * [backup-simplify]: Simplify (+ (- (* 1.0 (pow -1 1/3))) 0) into (- (* 1.0 (pow -1 1/3))) 1.966 * [backup-simplify]: Simplify (- (* 1.0 (pow -1 1/3))) into (- (* 1.0 (pow -1 1/3))) 1.966 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [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 1.973 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.975 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2))))) 1.975 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -1.0 (log N))) (* 0 (log (- (log N)))))) into (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.16666666666666666 (/ 1 (pow (log N) 2)))) 1.976 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.16666666666666666 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* -1 (log N)) 1/3) (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2))))) 1.976 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.983 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.983 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ 1.0 (* 1.0 (log N))) 1.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2.0 (log N)))) 2)) (pow (pow (log N) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (+ 1.0 (* 1.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 2) into (* 1/2 (- (* 2.0 (/ 1 (log N))) (* 2.0 (/ 1 (pow (log N) 2))))) 1.984 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2.0 (/ 1 (log N))) (* 2.0 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -2.0 (log N))) (* 0 (log (pow (log N) 2))))) into (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.3333333333333333 (/ 1 (pow (log N) 2)))) 1.985 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.3333333333333333 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))) (pow (pow (log N) 2) 1/3)) 1.986 * [backup-simplify]: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* (pow (* -1 (log N)) 1/3) (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))))) (+ (* (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))) (pow (pow (log N) 2) 1/3)) (pow (- (log N)) 1/3)))) into (* 0.5 (pow -1 1/3)) 1.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.988 * [backup-simplify]: Simplify (+ (* 0.5 (pow -1 1/3)) 0) into (* 0.5 (pow -1 1/3)) 1.989 * [backup-simplify]: Simplify (* 0.5 (pow -1 1/3)) into (* 0.5 (pow -1 1/3)) 1.991 * [backup-simplify]: Simplify (+ (* (* 0.5 (pow -1 1/3)) (pow (/ 1 N) 2)) (+ (* (- (* 1.0 (pow -1 1/3))) (/ 1 N)) (+ (* (pow -1 1/3) (log (/ 1 N))) (log (/ 1 N))))) into (- (+ (* (pow -1 1/3) (log (/ 1 N))) (+ (* 0.5 (* (pow -1 1/3) (/ 1 (pow N 2)))) (log (/ 1 N)))) (* 1.0 (* (pow -1 1/3) (/ 1 N)))) 1.991 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ (/ 1 (- N)) 1.0))) (cbrt (log (+ (/ 1 (- N)) 1.0)))) (cbrt (log (+ (/ 1 (- N)) 1.0))) (log (/ 1 (/ 1 (- N))))) into (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) 1.992 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in (N) around 0 1.992 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in N 1.992 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) (log (* -1 N))) 1.992 * [taylor]: Taking taylor expansion of (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) in N 1.992 * [taylor]: Taking taylor expansion of (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) in N 1.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2)))) in N 1.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2))) 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 (pow (log (- 1.0 (/ 1 N))) 2)) in N 1.992 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 1.992 * [taylor]: Taking taylor expansion of (log (- 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 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [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 (log -1) into (log -1) 1.994 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.994 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.995 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.995 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1.995 * [backup-simplify]: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 1.996 * [backup-simplify]: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 1.996 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 1.996 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 1/3) in N 1.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 N)))))) in N 1.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 N))))) in N 1.996 * [taylor]: Taking taylor expansion of 1/3 in N 1.996 * [backup-simplify]: Simplify 1/3 into 1/3 1.996 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 1.996 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.996 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.996 * [taylor]: Taking taylor expansion of 1.0 in N 1.996 * [backup-simplify]: Simplify 1.0 into 1.0 1.996 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.996 * [taylor]: Taking taylor expansion of N in N 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (/ 1 1) into 1 1.997 * [backup-simplify]: Simplify (- 1) into -1 1.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.997 * [backup-simplify]: Simplify (log -1) into (log -1) 1.998 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.998 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.999 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 1.999 * [backup-simplify]: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 1.999 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 1.999 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 1.999 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.999 * [taylor]: Taking taylor expansion of -1 in N 1.999 * [backup-simplify]: Simplify -1 into -1 1.999 * [taylor]: Taking taylor expansion of N in N 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (* -1 0) into 0 2.000 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.000 * [backup-simplify]: Simplify (log -1) into (log -1) 2.000 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in N 2.000 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) (log (* -1 N))) 2.000 * [taylor]: Taking taylor expansion of (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) in N 2.000 * [taylor]: Taking taylor expansion of (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) in N 2.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2)))) in N 2.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2))) in N 2.000 * [taylor]: Taking taylor expansion of 1/3 in N 2.000 * [backup-simplify]: Simplify 1/3 into 1/3 2.000 * [taylor]: Taking taylor expansion of (log (pow (log (- 1.0 (/ 1 N))) 2)) in N 2.000 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 2.000 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.000 * [taylor]: Taking taylor expansion of 1.0 in N 2.001 * [backup-simplify]: Simplify 1.0 into 1.0 2.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.001 * [taylor]: Taking taylor expansion of N in N 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [backup-simplify]: Simplify (- 1) into -1 2.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.001 * [backup-simplify]: Simplify (log -1) into (log -1) 2.002 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.002 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.003 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.004 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.004 * [backup-simplify]: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 2.004 * [backup-simplify]: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 2.005 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 2.005 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 1/3) in N 2.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 N)))))) in N 2.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 N))))) in N 2.005 * [taylor]: Taking taylor expansion of 1/3 in N 2.005 * [backup-simplify]: Simplify 1/3 into 1/3 2.005 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 2.005 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.005 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.005 * [taylor]: Taking taylor expansion of 1.0 in N 2.005 * [backup-simplify]: Simplify 1.0 into 1.0 2.005 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.005 * [taylor]: Taking taylor expansion of N in N 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (- 1) into -1 2.006 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.006 * [backup-simplify]: Simplify (log -1) into (log -1) 2.006 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.007 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.007 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 2.007 * [backup-simplify]: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 2.008 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 2.008 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.008 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.008 * [taylor]: Taking taylor expansion of -1 in N 2.008 * [backup-simplify]: Simplify -1 into -1 2.008 * [taylor]: Taking taylor expansion of N in N 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (* -1 0) into 0 2.008 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.009 * [backup-simplify]: Simplify (log -1) into (log -1) 2.009 * [backup-simplify]: Simplify (* (pow (pow (- (log -1) (log N)) 2) 1/3) (pow (- (log -1) (log N)) 1/3)) into (- (log -1) (log N)) 2.010 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log -1) (log N)) 2.010 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (+ (log -1) (log N))) into (* 2 (log -1)) 2.011 * [backup-simplify]: Simplify (* 2 (log -1)) into (* 2 (log -1)) 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.016 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1.0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1.0 (- (log -1) (log N))) 2.018 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1.0 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 2.018 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 2.019 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (- 0) into 0 2.020 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.024 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.024 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 2.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2.0 (log N)) (* 2.0 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 1) into (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2.027 * [backup-simplify]: Simplify (+ (* 1/3 (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2)))) into (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2.028 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1) 1)))) into (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) 2.031 * [backup-simplify]: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3))) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 2.032 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.035 * [backup-simplify]: Simplify (+ (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 0) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 2.037 * [backup-simplify]: Simplify (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 2.037 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.044 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1.0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2))))) 2.048 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2)))))) (+ (* 0 (/ -1.0 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.16666666666666666 (/ 1 (pow (- (log -1) (log N)) 2))))) 2.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.16666666666666666 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* -1 (* (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.1111111111111111 (/ 1 (pow (- (log -1) (log N)) 2)))) (pow (- (log -1) (log N)) 1/3))) 2.051 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.064 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.065 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1))) 2.068 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2.0 (log N)) (* 2.0 (log -1)))) 2)) (pow (pow (- (log -1) (log N)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 2) into (* 1/2 (- (+ (* 2.0 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 8.0 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 4.0 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 4.0 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) 2.073 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2.0 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 8.0 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 4.0 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 4.0 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))))) (+ (* 0 (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2))))) into (- (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))) 2.079 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2) 2)) (* (/ (pow (- (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))) 1) 1)))) into (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.8888888888888888 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.4444444444444444 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) 2.087 * [backup-simplify]: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1 (* (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.1111111111111111 (/ 1 (pow (- (log -1) (log N)) 2)))) (pow (- (log -1) (log N)) 1/3)))) (+ (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.8888888888888888 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.4444444444444444 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) (pow (- (log -1) (log N)) 1/3)))) into (- (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 2.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.098 * [backup-simplify]: Simplify (+ (- (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 0) into (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 2.107 * [backup-simplify]: Simplify (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) into (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 2.120 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.16666666666666666 (/ (log (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 0.6666666666666666 (/ (* (log -1) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.4444444444444444 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log (/ 1 (- N)))))) (+ (* 0.4444444444444445 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.3333333333333333 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 4))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1.3333333333333333 (/ (* (log -1) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.6666666666666666 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) 0.3333333333333333))) (/ 1 (- N))) (* 2 (log -1)))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (+ (* 2 (log -1)) (+ (* 0.4444444444444445 (/ (log -1) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 0.16666666666666666 (/ (log (/ -1 N)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (* 0.4444444444444444 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))))))))))) (+ (* 1.3333333333333333 (/ (* (log -1) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 1.3333333333333333 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.16666666666666666 (/ (log -1) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 0.4444444444444445 (/ (log (/ -1 N)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.3333333333333333 (/ (pow (log (/ -1 N)) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (* 0.3333333333333333 (/ (pow (log -1) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2))))))))))) 2.120 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.120 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) into (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) 2.120 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in (N) around 0 2.120 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in N 2.120 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) (log (/ 1 N))) 2.121 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) in N 2.121 * [taylor]: Taking taylor expansion of (pow (pow (log (+ N 1.0)) 2) 1/3) in N 2.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ N 1.0)) 2)))) in N 2.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ N 1.0)) 2))) in N 2.121 * [taylor]: Taking taylor expansion of 1/3 in N 2.121 * [backup-simplify]: Simplify 1/3 into 1/3 2.121 * [taylor]: Taking taylor expansion of (log (pow (log (+ N 1.0)) 2)) in N 2.121 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 2.121 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.121 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.121 * [taylor]: Taking taylor expansion of N in N 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of 1.0 in N 2.121 * [backup-simplify]: Simplify 1.0 into 1.0 2.121 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.121 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.122 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 2.123 * [backup-simplify]: Simplify (log (pow (log 1.0) 2)) into (log (pow (log 1.0) 2)) 2.124 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 1.0) 2))) into (* 1/3 (log (pow (log 1.0) 2))) 2.126 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 1.0) 2)))) into (pow (pow (log 1.0) 2) 1/3) 2.126 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 1/3) in N 2.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1.0))))) in N 2.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ N 1.0)))) in N 2.126 * [taylor]: Taking taylor expansion of 1/3 in N 2.126 * [backup-simplify]: Simplify 1/3 into 1/3 2.126 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 2.126 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.126 * [taylor]: Taking taylor expansion of N in N 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [taylor]: Taking taylor expansion of 1.0 in N 2.127 * [backup-simplify]: Simplify 1.0 into 1.0 2.127 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.127 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.128 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 2.128 * [backup-simplify]: Simplify (* 1/3 (log (log 1.0))) into (* 1/3 (log (log 1.0))) 2.130 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 1.0)))) into (pow (log 1.0) 1/3) 2.130 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.130 * [taylor]: Taking taylor expansion of N in N 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (/ 1 1) into 1 2.130 * [backup-simplify]: Simplify (log 1) into 0 2.130 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in N 2.130 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) (log (/ 1 N))) 2.130 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) in N 2.130 * [taylor]: Taking taylor expansion of (pow (pow (log (+ N 1.0)) 2) 1/3) in N 2.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ N 1.0)) 2)))) in N 2.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ N 1.0)) 2))) in N 2.130 * [taylor]: Taking taylor expansion of 1/3 in N 2.130 * [backup-simplify]: Simplify 1/3 into 1/3 2.130 * [taylor]: Taking taylor expansion of (log (pow (log (+ N 1.0)) 2)) in N 2.130 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 2.130 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.130 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.130 * [taylor]: Taking taylor expansion of N in N 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [taylor]: Taking taylor expansion of 1.0 in N 2.131 * [backup-simplify]: Simplify 1.0 into 1.0 2.131 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.131 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.132 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 2.133 * [backup-simplify]: Simplify (log (pow (log 1.0) 2)) into (log (pow (log 1.0) 2)) 2.134 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 1.0) 2))) into (* 1/3 (log (pow (log 1.0) 2))) 2.136 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 1.0) 2)))) into (pow (pow (log 1.0) 2) 1/3) 2.136 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 1/3) in N 2.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1.0))))) in N 2.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ N 1.0)))) in N 2.136 * [taylor]: Taking taylor expansion of 1/3 in N 2.136 * [backup-simplify]: Simplify 1/3 into 1/3 2.136 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 2.136 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.136 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.136 * [taylor]: Taking taylor expansion of N in N 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [taylor]: Taking taylor expansion of 1.0 in N 2.136 * [backup-simplify]: Simplify 1.0 into 1.0 2.136 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.137 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.137 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 2.138 * [backup-simplify]: Simplify (* 1/3 (log (log 1.0))) into (* 1/3 (log (log 1.0))) 2.139 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 1.0)))) into (pow (log 1.0) 1/3) 2.139 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.139 * [taylor]: Taking taylor expansion of N in N 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.140 * [backup-simplify]: Simplify (log 1) into 0 2.142 * [backup-simplify]: Simplify (* (pow (pow (log 1.0) 2) 1/3) (pow (log 1.0) 1/3)) into (log 1.0) 2.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.142 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 2.143 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.143 * [backup-simplify]: Simplify (+ 1 0) into 1 2.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (log 1.0) 1)))) 1) into (/ 1.0 (log 1.0)) 2.157 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1.0 (log 1.0))) (* 0 (log (log 1.0)))) into (* 0.3333333333333333 (/ 1 (log 1.0))) 2.163 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 1.0)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (log 1.0))) 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3)) 2.163 * [backup-simplify]: Simplify (+ 1 0) into 1 2.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.168 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 2.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2.0 (log 1.0))) 1)) (pow (pow (log 1.0) 2) 1)))) 1) into (/ 2.0 (log 1.0)) 2.176 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2.0 (log 1.0))) (* 0 (log (pow (log 1.0) 2)))) into (* 0.6666666666666666 (/ 1 (log 1.0))) 2.182 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 1.0) 2)))) (+ (* (/ (pow (* 0.6666666666666666 (/ 1 (log 1.0))) 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) 2.190 * [backup-simplify]: Simplify (+ (* (pow (pow (log 1.0) 2) 1/3) (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3))) (* (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) (pow (log 1.0) 1/3))) into 1.0 2.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.192 * [backup-simplify]: Simplify 1.0 into 1.0 2.192 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (log 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (pow 1.0 2))) 1)) (pow (log 1.0) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2))))) 2.216 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2)))))) (+ (* 0 (/ 1.0 (log 1.0))) (* 0 (log (log 1.0))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 2.240 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 1.0)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (log 1.0))) 2) 2)) (* (/ (pow (- (+ (* 0.16666666666666666 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1) 1)))) into (* -1 (* (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2))))) (pow (log 1.0) 1/3))) 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.249 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 2.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2.0 (log 1.0))) 2)) (pow (pow (log 1.0) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0 (/ (log 1.0) (pow 1.0 2)))) 1)) (pow (pow (log 1.0) 2) 1)))) 2) into (* -1/2 (+ (* 2.0 (/ 1 (pow (log 1.0) 2))) (* 2 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 2.273 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 2.0 (/ 1 (pow (log 1.0) 2))) (* 2 (/ 1 (* (log 1.0) (pow 1.0 2))))))) (+ (* 0 (/ 2.0 (log 1.0))) (* 0 (log (pow (log 1.0) 2))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 2.291 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 1.0) 2)))) (+ (* (/ (pow (* 0.6666666666666666 (/ 1 (log 1.0))) 2) 2)) (* (/ (pow (- (+ (* 0.3333333333333333 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1) 1)))) into (* -1 (* (pow (pow (log 1.0) 2) 1/3) (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2))))))) 2.328 * [backup-simplify]: Simplify (+ (* (pow (pow (log 1.0) 2) 1/3) (* -1 (* (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2))))) (pow (log 1.0) 1/3)))) (+ (* (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3))) (* (* -1 (* (pow (pow (log 1.0) 2) 1/3) (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2))))))) (pow (log 1.0) 1/3)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.333 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (pow 1.0 2)))) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 2.334 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 2.336 * [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))) 2.336 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ (/ 1 N) 1.0))) (cbrt (log (+ (/ 1 N) 1.0)))) (cbrt (log (+ (/ 1 N) 1.0))) (log (/ 1 (/ 1 N)))) into (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) 2.336 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in (N) around 0 2.337 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in N 2.337 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) (log N)) 2.337 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) in N 2.337 * [taylor]: Taking taylor expansion of (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) in N 2.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2)))) in N 2.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2))) in N 2.337 * [taylor]: Taking taylor expansion of 1/3 in N 2.337 * [backup-simplify]: Simplify 1/3 into 1/3 2.337 * [taylor]: Taking taylor expansion of (log (pow (log (+ (/ 1 N) 1.0)) 2)) in N 2.337 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 2.337 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.337 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.337 * [taylor]: Taking taylor expansion of N in N 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (/ 1 1) into 1 2.337 * [taylor]: Taking taylor expansion of 1.0 in N 2.337 * [backup-simplify]: Simplify 1.0 into 1.0 2.337 * [backup-simplify]: Simplify (+ 1 0) into 1 2.338 * [backup-simplify]: Simplify (log 1) into 0 2.338 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.338 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.339 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.339 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 2.339 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 2.339 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 2.339 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 1/3) in N 2.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1.0))))) in N 2.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1.0)))) in N 2.339 * [taylor]: Taking taylor expansion of 1/3 in N 2.339 * [backup-simplify]: Simplify 1/3 into 1/3 2.339 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 2.339 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.339 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (/ 1 1) into 1 2.339 * [taylor]: Taking taylor expansion of 1.0 in N 2.339 * [backup-simplify]: Simplify 1.0 into 1.0 2.340 * [backup-simplify]: Simplify (+ 1 0) into 1 2.340 * [backup-simplify]: Simplify (log 1) into 0 2.340 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.341 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.341 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 2.341 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 2.341 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 2.341 * [taylor]: Taking taylor expansion of (log N) in N 2.341 * [taylor]: Taking taylor expansion of N in N 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (log 1) into 0 2.341 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in N 2.341 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) (log N)) 2.341 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) in N 2.341 * [taylor]: Taking taylor expansion of (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) in N 2.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2)))) in N 2.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2))) in N 2.341 * [taylor]: Taking taylor expansion of 1/3 in N 2.341 * [backup-simplify]: Simplify 1/3 into 1/3 2.341 * [taylor]: Taking taylor expansion of (log (pow (log (+ (/ 1 N) 1.0)) 2)) in N 2.341 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 2.341 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.341 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.341 * [taylor]: Taking taylor expansion of N in N 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (/ 1 1) into 1 2.342 * [taylor]: Taking taylor expansion of 1.0 in N 2.342 * [backup-simplify]: Simplify 1.0 into 1.0 2.342 * [backup-simplify]: Simplify (+ 1 0) into 1 2.342 * [backup-simplify]: Simplify (log 1) into 0 2.342 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.343 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.343 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 2.343 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 2.343 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 2.343 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 1/3) in N 2.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1.0))))) in N 2.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1.0)))) in N 2.343 * [taylor]: Taking taylor expansion of 1/3 in N 2.343 * [backup-simplify]: Simplify 1/3 into 1/3 2.343 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 2.343 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.344 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.344 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.344 * [taylor]: Taking taylor expansion of N in N 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (/ 1 1) into 1 2.344 * [taylor]: Taking taylor expansion of 1.0 in N 2.344 * [backup-simplify]: Simplify 1.0 into 1.0 2.344 * [backup-simplify]: Simplify (+ 1 0) into 1 2.344 * [backup-simplify]: Simplify (log 1) into 0 2.345 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.345 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.345 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 2.345 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 2.345 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 2.345 * [taylor]: Taking taylor expansion of (log N) in N 2.345 * [taylor]: Taking taylor expansion of N in N 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.345 * [backup-simplify]: Simplify (log 1) into 0 2.346 * [backup-simplify]: Simplify (* (pow (pow (log N) 2) 1/3) (pow (- (log N)) 1/3)) into (* (pow -1 1/3) (log N)) 2.346 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.346 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) 2.347 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) 2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.351 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log N)) 1)))) 1) into (/ -1.0 (log N)) 2.352 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1.0 (log N))) (* 0 (log (- (log N))))) into (- (* 0.3333333333333333 (/ 1 (log N)))) 2.352 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N)))) 1) 1)))) into (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3)) 2.353 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.357 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.357 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 2.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 1) into (/ -2.0 (log N)) 2.358 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2.0 (log N))) (* 0 (log (pow (log N) 2)))) into (- (* 0.6666666666666666 (/ 1 (log N)))) 2.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ 1 (log N)))) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) 2.358 * [backup-simplify]: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) (pow (- (log N)) 1/3))) into (- (* 1.0 (pow -1 1/3))) 2.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.361 * [backup-simplify]: Simplify (+ (- (* 1.0 (pow -1 1/3))) 0) into (- (* 1.0 (pow -1 1/3))) 2.362 * [backup-simplify]: Simplify (- (* 1.0 (pow -1 1/3))) into (- (* 1.0 (pow -1 1/3))) 2.362 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.369 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2))))) 2.371 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -1.0 (log N))) (* 0 (log (- (log N)))))) into (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.16666666666666666 (/ 1 (pow (log N) 2)))) 2.372 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.16666666666666666 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* -1 (log N)) 1/3) (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2))))) 2.372 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.379 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.379 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ 1.0 (* 1.0 (log N))) 2.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2.0 (log N)))) 2)) (pow (pow (log N) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (+ 1.0 (* 1.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 2) into (* 1/2 (- (* 2.0 (/ 1 (log N))) (* 2.0 (/ 1 (pow (log N) 2))))) 2.380 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2.0 (/ 1 (log N))) (* 2.0 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -2.0 (log N))) (* 0 (log (pow (log N) 2))))) into (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.3333333333333333 (/ 1 (pow (log N) 2)))) 2.381 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.3333333333333333 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))) (pow (pow (log N) 2) 1/3)) 2.382 * [backup-simplify]: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* (pow (* -1 (log N)) 1/3) (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))))) (+ (* (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))) (pow (pow (log N) 2) 1/3)) (pow (- (log N)) 1/3)))) into (* 0.5 (pow -1 1/3)) 2.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.385 * [backup-simplify]: Simplify (+ (* 0.5 (pow -1 1/3)) 0) into (* 0.5 (pow -1 1/3)) 2.386 * [backup-simplify]: Simplify (* 0.5 (pow -1 1/3)) into (* 0.5 (pow -1 1/3)) 2.388 * [backup-simplify]: Simplify (+ (* (* 0.5 (pow -1 1/3)) (pow (/ 1 N) 2)) (+ (* (- (* 1.0 (pow -1 1/3))) (/ 1 N)) (+ (* (pow -1 1/3) (log (/ 1 N))) (log (/ 1 N))))) into (- (+ (* (pow -1 1/3) (log (/ 1 N))) (+ (* 0.5 (* (pow -1 1/3) (/ 1 (pow N 2)))) (log (/ 1 N)))) (* 1.0 (* (pow -1 1/3) (/ 1 N)))) 2.388 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ (/ 1 (- N)) 1.0))) (cbrt (log (+ (/ 1 (- N)) 1.0)))) (cbrt (log (+ (/ 1 (- N)) 1.0))) (log (/ 1 (/ 1 (- N))))) into (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) 2.388 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in (N) around 0 2.389 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in N 2.389 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) (log (* -1 N))) 2.389 * [taylor]: Taking taylor expansion of (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) in N 2.389 * [taylor]: Taking taylor expansion of (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) in N 2.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2)))) in N 2.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2))) in N 2.389 * [taylor]: Taking taylor expansion of 1/3 in N 2.389 * [backup-simplify]: Simplify 1/3 into 1/3 2.389 * [taylor]: Taking taylor expansion of (log (pow (log (- 1.0 (/ 1 N))) 2)) in N 2.389 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 2.389 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.389 * [taylor]: Taking taylor expansion of 1.0 in N 2.389 * [backup-simplify]: Simplify 1.0 into 1.0 2.389 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.389 * [taylor]: Taking taylor expansion of N in N 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [backup-simplify]: Simplify (/ 1 1) into 1 2.389 * [backup-simplify]: Simplify (- 1) into -1 2.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.390 * [backup-simplify]: Simplify (log -1) into (log -1) 2.390 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.391 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.391 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.392 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.392 * [backup-simplify]: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 2.393 * [backup-simplify]: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 2.393 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 2.393 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 1/3) in N 2.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 N)))))) in N 2.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 N))))) in N 2.393 * [taylor]: Taking taylor expansion of 1/3 in N 2.393 * [backup-simplify]: Simplify 1/3 into 1/3 2.393 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 2.393 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.393 * [taylor]: Taking taylor expansion of 1.0 in N 2.393 * [backup-simplify]: Simplify 1.0 into 1.0 2.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.393 * [taylor]: Taking taylor expansion of N in N 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (/ 1 1) into 1 2.394 * [backup-simplify]: Simplify (- 1) into -1 2.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.394 * [backup-simplify]: Simplify (log -1) into (log -1) 2.395 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.395 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.395 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 2.396 * [backup-simplify]: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 2.396 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 2.396 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.396 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.396 * [taylor]: Taking taylor expansion of -1 in N 2.396 * [backup-simplify]: Simplify -1 into -1 2.396 * [taylor]: Taking taylor expansion of N in N 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (* -1 0) into 0 2.397 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.397 * [backup-simplify]: Simplify (log -1) into (log -1) 2.397 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in N 2.397 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) (log (* -1 N))) 2.397 * [taylor]: Taking taylor expansion of (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) in N 2.397 * [taylor]: Taking taylor expansion of (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) in N 2.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2)))) in N 2.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2))) in N 2.397 * [taylor]: Taking taylor expansion of 1/3 in N 2.397 * [backup-simplify]: Simplify 1/3 into 1/3 2.397 * [taylor]: Taking taylor expansion of (log (pow (log (- 1.0 (/ 1 N))) 2)) in N 2.397 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 2.397 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.397 * [taylor]: Taking taylor expansion of 1.0 in N 2.397 * [backup-simplify]: Simplify 1.0 into 1.0 2.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.397 * [taylor]: Taking taylor expansion of N in N 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (/ 1 1) into 1 2.398 * [backup-simplify]: Simplify (- 1) into -1 2.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.398 * [backup-simplify]: Simplify (log -1) into (log -1) 2.399 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.399 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.400 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.400 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.401 * [backup-simplify]: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 2.401 * [backup-simplify]: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 2.401 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 2.401 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 1/3) in N 2.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 N)))))) in N 2.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 N))))) in N 2.401 * [taylor]: Taking taylor expansion of 1/3 in N 2.401 * [backup-simplify]: Simplify 1/3 into 1/3 2.402 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 2.402 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.402 * [taylor]: Taking taylor expansion of 1.0 in N 2.402 * [backup-simplify]: Simplify 1.0 into 1.0 2.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.402 * [taylor]: Taking taylor expansion of N in N 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [backup-simplify]: Simplify (/ 1 1) into 1 2.402 * [backup-simplify]: Simplify (- 1) into -1 2.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.403 * [backup-simplify]: Simplify (log -1) into (log -1) 2.403 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.403 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.404 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 2.404 * [backup-simplify]: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 2.404 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 2.404 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.404 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.404 * [taylor]: Taking taylor expansion of -1 in N 2.404 * [backup-simplify]: Simplify -1 into -1 2.404 * [taylor]: Taking taylor expansion of N in N 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 1 into 1 2.405 * [backup-simplify]: Simplify (* -1 0) into 0 2.405 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.405 * [backup-simplify]: Simplify (log -1) into (log -1) 2.406 * [backup-simplify]: Simplify (* (pow (pow (- (log -1) (log N)) 2) 1/3) (pow (- (log -1) (log N)) 1/3)) into (- (log -1) (log N)) 2.407 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log -1) (log N)) 2.407 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (+ (log -1) (log N))) into (* 2 (log -1)) 2.408 * [backup-simplify]: Simplify (* 2 (log -1)) into (* 2 (log -1)) 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (- 0) into 0 2.415 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.419 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1.0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1.0 (- (log -1) (log N))) 2.421 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1.0 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 2.422 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 2.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (- 0) into 0 2.423 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.428 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.428 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 2.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2.0 (log N)) (* 2.0 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 1) into (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2.431 * [backup-simplify]: Simplify (+ (* 1/3 (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2)))) into (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2.432 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1) 1)))) into (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) 2.435 * [backup-simplify]: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3))) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 2.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.439 * [backup-simplify]: Simplify (+ (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 0) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 2.441 * [backup-simplify]: Simplify (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 2.441 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (- 0) into 0 2.442 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.449 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1.0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2))))) 2.453 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2)))))) (+ (* 0 (/ -1.0 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.16666666666666666 (/ 1 (pow (- (log -1) (log N)) 2))))) 2.455 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.16666666666666666 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* -1 (* (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.1111111111111111 (/ 1 (pow (- (log -1) (log N)) 2)))) (pow (- (log -1) (log N)) 1/3))) 2.455 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.463 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.463 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1))) 2.466 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2.0 (log N)) (* 2.0 (log -1)))) 2)) (pow (pow (- (log -1) (log N)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 2) into (* 1/2 (- (+ (* 2.0 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 8.0 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 4.0 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 4.0 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) 2.471 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2.0 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 8.0 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 4.0 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 4.0 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))))) (+ (* 0 (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2))))) into (- (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))) 2.477 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2) 2)) (* (/ (pow (- (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))) 1) 1)))) into (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.8888888888888888 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.4444444444444444 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) 2.486 * [backup-simplify]: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1 (* (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.1111111111111111 (/ 1 (pow (- (log -1) (log N)) 2)))) (pow (- (log -1) (log N)) 1/3)))) (+ (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.8888888888888888 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.4444444444444444 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) (pow (- (log -1) (log N)) 1/3)))) into (- (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 2.486 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.488 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.496 * [backup-simplify]: Simplify (+ (- (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 0) into (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 2.511 * [backup-simplify]: Simplify (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) into (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 2.524 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.16666666666666666 (/ (log (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 0.6666666666666666 (/ (* (log -1) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.4444444444444444 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log (/ 1 (- N)))))) (+ (* 0.4444444444444445 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.3333333333333333 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 4))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1.3333333333333333 (/ (* (log -1) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.6666666666666666 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) 0.3333333333333333))) (/ 1 (- N))) (* 2 (log -1)))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (+ (* 2 (log -1)) (+ (* 0.4444444444444445 (/ (log -1) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 0.16666666666666666 (/ (log (/ -1 N)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (* 0.4444444444444444 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))))))))))) (+ (* 1.3333333333333333 (/ (* (log -1) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 1.3333333333333333 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.16666666666666666 (/ (log -1) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 0.4444444444444445 (/ (log (/ -1 N)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.3333333333333333 (/ (pow (log (/ -1 N)) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (* 0.3333333333333333 (/ (pow (log -1) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2))))))))))) 2.525 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.525 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) into (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) 2.525 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in (N) around 0 2.525 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in N 2.525 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) (log (/ 1 N))) 2.525 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) in N 2.525 * [taylor]: Taking taylor expansion of (pow (pow (log (+ N 1.0)) 2) 1/3) in N 2.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ N 1.0)) 2)))) in N 2.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ N 1.0)) 2))) in N 2.525 * [taylor]: Taking taylor expansion of 1/3 in N 2.525 * [backup-simplify]: Simplify 1/3 into 1/3 2.525 * [taylor]: Taking taylor expansion of (log (pow (log (+ N 1.0)) 2)) in N 2.525 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 2.525 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.525 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.525 * [taylor]: Taking taylor expansion of N in N 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [taylor]: Taking taylor expansion of 1.0 in N 2.525 * [backup-simplify]: Simplify 1.0 into 1.0 2.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.526 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.527 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 2.528 * [backup-simplify]: Simplify (log (pow (log 1.0) 2)) into (log (pow (log 1.0) 2)) 2.529 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 1.0) 2))) into (* 1/3 (log (pow (log 1.0) 2))) 2.531 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 1.0) 2)))) into (pow (pow (log 1.0) 2) 1/3) 2.531 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 1/3) in N 2.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1.0))))) in N 2.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ N 1.0)))) in N 2.531 * [taylor]: Taking taylor expansion of 1/3 in N 2.531 * [backup-simplify]: Simplify 1/3 into 1/3 2.531 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 2.531 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.531 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.531 * [taylor]: Taking taylor expansion of N in N 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.531 * [taylor]: Taking taylor expansion of 1.0 in N 2.531 * [backup-simplify]: Simplify 1.0 into 1.0 2.531 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.532 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.532 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 2.533 * [backup-simplify]: Simplify (* 1/3 (log (log 1.0))) into (* 1/3 (log (log 1.0))) 2.534 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 1.0)))) into (pow (log 1.0) 1/3) 2.534 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.534 * [taylor]: Taking taylor expansion of N in N 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.535 * [backup-simplify]: Simplify (/ 1 1) into 1 2.535 * [backup-simplify]: Simplify (log 1) into 0 2.535 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3) (log (/ 1 N))) in N 2.535 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) (log (/ 1 N))) 2.535 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ N 1.0)) 2) 1/3) (pow (log (+ N 1.0)) 1/3)) in N 2.535 * [taylor]: Taking taylor expansion of (pow (pow (log (+ N 1.0)) 2) 1/3) in N 2.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ N 1.0)) 2)))) in N 2.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ N 1.0)) 2))) in N 2.535 * [taylor]: Taking taylor expansion of 1/3 in N 2.535 * [backup-simplify]: Simplify 1/3 into 1/3 2.535 * [taylor]: Taking taylor expansion of (log (pow (log (+ N 1.0)) 2)) in N 2.535 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 2.535 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.535 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.535 * [taylor]: Taking taylor expansion of N in N 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [taylor]: Taking taylor expansion of 1.0 in N 2.535 * [backup-simplify]: Simplify 1.0 into 1.0 2.535 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.536 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.536 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 2.537 * [backup-simplify]: Simplify (log (pow (log 1.0) 2)) into (log (pow (log 1.0) 2)) 2.539 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 1.0) 2))) into (* 1/3 (log (pow (log 1.0) 2))) 2.540 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 1.0) 2)))) into (pow (pow (log 1.0) 2) 1/3) 2.540 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 1/3) in N 2.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1.0))))) in N 2.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ N 1.0)))) in N 2.541 * [taylor]: Taking taylor expansion of 1/3 in N 2.541 * [backup-simplify]: Simplify 1/3 into 1/3 2.541 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 2.541 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.541 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.541 * [taylor]: Taking taylor expansion of N in N 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 1 into 1 2.541 * [taylor]: Taking taylor expansion of 1.0 in N 2.541 * [backup-simplify]: Simplify 1.0 into 1.0 2.541 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.541 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.542 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 2.543 * [backup-simplify]: Simplify (* 1/3 (log (log 1.0))) into (* 1/3 (log (log 1.0))) 2.544 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 1.0)))) into (pow (log 1.0) 1/3) 2.544 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.544 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.544 * [taylor]: Taking taylor expansion of N in N 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (/ 1 1) into 1 2.544 * [backup-simplify]: Simplify (log 1) into 0 2.547 * [backup-simplify]: Simplify (* (pow (pow (log 1.0) 2) 1/3) (pow (log 1.0) 1/3)) into (log 1.0) 2.547 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.547 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 2.547 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.548 * [backup-simplify]: Simplify (+ 1 0) into 1 2.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (log 1.0) 1)))) 1) into (/ 1.0 (log 1.0)) 2.556 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1.0 (log 1.0))) (* 0 (log (log 1.0)))) into (* 0.3333333333333333 (/ 1 (log 1.0))) 2.562 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 1.0)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (log 1.0))) 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3)) 2.562 * [backup-simplify]: Simplify (+ 1 0) into 1 2.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.566 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 2.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2.0 (log 1.0))) 1)) (pow (pow (log 1.0) 2) 1)))) 1) into (/ 2.0 (log 1.0)) 2.575 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2.0 (log 1.0))) (* 0 (log (pow (log 1.0) 2)))) into (* 0.6666666666666666 (/ 1 (log 1.0))) 2.581 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 1.0) 2)))) (+ (* (/ (pow (* 0.6666666666666666 (/ 1 (log 1.0))) 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) 2.589 * [backup-simplify]: Simplify (+ (* (pow (pow (log 1.0) 2) 1/3) (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3))) (* (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) (pow (log 1.0) 1/3))) into 1.0 2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.591 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.591 * [backup-simplify]: Simplify 1.0 into 1.0 2.591 * [backup-simplify]: Simplify (+ 0 0) into 0 2.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.616 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (log 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (pow 1.0 2))) 1)) (pow (log 1.0) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2))))) 2.623 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2)))))) (+ (* 0 (/ 1.0 (log 1.0))) (* 0 (log (log 1.0))))) into (- (+ (* 0.16666666666666666 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 2.642 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 1.0)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (log 1.0))) 2) 2)) (* (/ (pow (- (+ (* 0.16666666666666666 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1) 1)))) into (* -1 (* (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2))))) (pow (log 1.0) 1/3))) 2.642 * [backup-simplify]: Simplify (+ 0 0) into 0 2.647 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.652 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 2.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2.0 (log 1.0))) 2)) (pow (pow (log 1.0) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- 1.0 (/ (log 1.0) (pow 1.0 2)))) 1)) (pow (pow (log 1.0) 2) 1)))) 2) into (* -1/2 (+ (* 2.0 (/ 1 (pow (log 1.0) 2))) (* 2 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 2.676 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 2.0 (/ 1 (pow (log 1.0) 2))) (* 2 (/ 1 (* (log 1.0) (pow 1.0 2))))))) (+ (* 0 (/ 2.0 (log 1.0))) (* 0 (log (pow (log 1.0) 2))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 2.701 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 1.0) 2)))) (+ (* (/ (pow (* 0.6666666666666666 (/ 1 (log 1.0))) 2) 2)) (* (/ (pow (- (+ (* 0.3333333333333333 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2)))))) 1) 1)))) into (* -1 (* (pow (pow (log 1.0) 2) 1/3) (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2))))))) 2.733 * [backup-simplify]: Simplify (+ (* (pow (pow (log 1.0) 2) 1/3) (* -1 (* (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/6 (/ 1 (* (log 1.0) (pow 1.0 2))))) (pow (log 1.0) 1/3)))) (+ (* (* 0.6666666666666666 (pow (/ 1 (log 1.0)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow (log 1.0) 2)) 1/3))) (* (* -1 (* (pow (pow (log 1.0) 2) 1/3) (+ (* 0.1111111111111111 (/ 1 (pow (log 1.0) 2))) (* 1/3 (/ 1 (* (log 1.0) (pow 1.0 2))))))) (pow (log 1.0) 1/3)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 2.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.735 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.737 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (pow 1.0 2)))) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 2.739 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 2.741 * [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))) 2.741 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ (/ 1 N) 1.0))) (cbrt (log (+ (/ 1 N) 1.0)))) (cbrt (log (+ (/ 1 N) 1.0))) (log (/ 1 (/ 1 N)))) into (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) 2.741 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in (N) around 0 2.741 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in N 2.741 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) (log N)) 2.741 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) in N 2.741 * [taylor]: Taking taylor expansion of (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) in N 2.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2)))) in N 2.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2))) in N 2.741 * [taylor]: Taking taylor expansion of 1/3 in N 2.741 * [backup-simplify]: Simplify 1/3 into 1/3 2.741 * [taylor]: Taking taylor expansion of (log (pow (log (+ (/ 1 N) 1.0)) 2)) in N 2.741 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 2.741 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.741 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.741 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.741 * [taylor]: Taking taylor expansion of N in N 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (/ 1 1) into 1 2.742 * [taylor]: Taking taylor expansion of 1.0 in N 2.742 * [backup-simplify]: Simplify 1.0 into 1.0 2.742 * [backup-simplify]: Simplify (+ 1 0) into 1 2.742 * [backup-simplify]: Simplify (log 1) into 0 2.743 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.743 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.743 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.743 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.743 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 2.743 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 2.743 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 2.744 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 1/3) in N 2.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1.0))))) in N 2.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1.0)))) in N 2.744 * [taylor]: Taking taylor expansion of 1/3 in N 2.744 * [backup-simplify]: Simplify 1/3 into 1/3 2.744 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 2.744 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.744 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.744 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.744 * [taylor]: Taking taylor expansion of N in N 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (/ 1 1) into 1 2.744 * [taylor]: Taking taylor expansion of 1.0 in N 2.744 * [backup-simplify]: Simplify 1.0 into 1.0 2.744 * [backup-simplify]: Simplify (+ 1 0) into 1 2.745 * [backup-simplify]: Simplify (log 1) into 0 2.745 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.745 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.745 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 2.745 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 2.745 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 2.745 * [taylor]: Taking taylor expansion of (log N) in N 2.745 * [taylor]: Taking taylor expansion of N in N 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (log 1) into 0 2.746 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3) (log N)) in N 2.746 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) (log N)) 2.746 * [taylor]: Taking taylor expansion of (* (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) (pow (log (+ (/ 1 N) 1.0)) 1/3)) in N 2.746 * [taylor]: Taking taylor expansion of (pow (pow (log (+ (/ 1 N) 1.0)) 2) 1/3) in N 2.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2)))) in N 2.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (+ (/ 1 N) 1.0)) 2))) in N 2.746 * [taylor]: Taking taylor expansion of 1/3 in N 2.746 * [backup-simplify]: Simplify 1/3 into 1/3 2.746 * [taylor]: Taking taylor expansion of (log (pow (log (+ (/ 1 N) 1.0)) 2)) in N 2.746 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 2.746 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.746 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.746 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.746 * [taylor]: Taking taylor expansion of N in N 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [taylor]: Taking taylor expansion of 1.0 in N 2.746 * [backup-simplify]: Simplify 1.0 into 1.0 2.747 * [backup-simplify]: Simplify (+ 1 0) into 1 2.747 * [backup-simplify]: Simplify (log 1) into 0 2.747 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.747 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.748 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.748 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.748 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 2.748 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 2.748 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 2.748 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 1/3) in N 2.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1.0))))) in N 2.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1.0)))) in N 2.748 * [taylor]: Taking taylor expansion of 1/3 in N 2.748 * [backup-simplify]: Simplify 1/3 into 1/3 2.748 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 2.748 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.748 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.748 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.748 * [taylor]: Taking taylor expansion of N in N 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (/ 1 1) into 1 2.748 * [taylor]: Taking taylor expansion of 1.0 in N 2.748 * [backup-simplify]: Simplify 1.0 into 1.0 2.749 * [backup-simplify]: Simplify (+ 1 0) into 1 2.749 * [backup-simplify]: Simplify (log 1) into 0 2.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.750 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 2.750 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 2.750 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 2.750 * [taylor]: Taking taylor expansion of (log N) in N 2.750 * [taylor]: Taking taylor expansion of N in N 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (log 1) into 0 2.750 * [backup-simplify]: Simplify (* (pow (pow (log N) 2) 1/3) (pow (- (log N)) 1/3)) into (* (pow -1 1/3) (log N)) 2.750 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.751 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) 2.751 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) 2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.756 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log N)) 1)))) 1) into (/ -1.0 (log N)) 2.757 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1.0 (log N))) (* 0 (log (- (log N))))) into (- (* 0.3333333333333333 (/ 1 (log N)))) 2.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N)))) 1) 1)))) into (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3)) 2.757 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.762 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.762 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 2.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 1) into (/ -2.0 (log N)) 2.762 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2.0 (log N))) (* 0 (log (pow (log N) 2)))) into (- (* 0.6666666666666666 (/ 1 (log N)))) 2.763 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ 1 (log N)))) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) 2.763 * [backup-simplify]: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) (pow (- (log N)) 1/3))) into (- (* 1.0 (pow -1 1/3))) 2.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.765 * [backup-simplify]: Simplify (+ (- (* 1.0 (pow -1 1/3))) 0) into (- (* 1.0 (pow -1 1/3))) 2.767 * [backup-simplify]: Simplify (- (* 1.0 (pow -1 1/3))) into (- (* 1.0 (pow -1 1/3))) 2.767 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.781 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.784 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2))))) 2.784 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -1.0 (log N))) (* 0 (log (- (log N)))))) into (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.16666666666666666 (/ 1 (pow (log N) 2)))) 2.785 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.16666666666666666 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* -1 (log N)) 1/3) (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2))))) 2.785 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.786 * [backup-simplify]: Simplify (+ 0 0) into 0 2.791 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.792 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.792 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ 1.0 (* 1.0 (log N))) 2.793 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2.0 (log N)))) 2)) (pow (pow (log N) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (+ 1.0 (* 1.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 2) into (* 1/2 (- (* 2.0 (/ 1 (log N))) (* 2.0 (/ 1 (pow (log N) 2))))) 2.793 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2.0 (/ 1 (log N))) (* 2.0 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -2.0 (log N))) (* 0 (log (pow (log N) 2))))) into (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.3333333333333333 (/ 1 (pow (log N) 2)))) 2.794 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.3333333333333333 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))) (pow (pow (log N) 2) 1/3)) 2.795 * [backup-simplify]: Simplify (+ (* (pow (pow (log N) 2) 1/3) (* (pow (* -1 (log N)) 1/3) (- (* 0.16666666666666666 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))))) (+ (* (* -0.6666666666666666 (pow (/ 1 (log N)) 1/3)) (* -0.3333333333333333 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* (- (* 0.3333333333333333 (/ 1 (log N))) (* 0.1111111111111111 (/ 1 (pow (log N) 2)))) (pow (pow (log N) 2) 1/3)) (pow (- (log N)) 1/3)))) into (* 0.5 (pow -1 1/3)) 2.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.798 * [backup-simplify]: Simplify (+ (* 0.5 (pow -1 1/3)) 0) into (* 0.5 (pow -1 1/3)) 2.798 * [backup-simplify]: Simplify (* 0.5 (pow -1 1/3)) into (* 0.5 (pow -1 1/3)) 2.801 * [backup-simplify]: Simplify (+ (* (* 0.5 (pow -1 1/3)) (pow (/ 1 N) 2)) (+ (* (- (* 1.0 (pow -1 1/3))) (/ 1 N)) (+ (* (pow -1 1/3) (log (/ 1 N))) (log (/ 1 N))))) into (- (+ (* (pow -1 1/3) (log (/ 1 N))) (+ (* 0.5 (* (pow -1 1/3) (/ 1 (pow N 2)))) (log (/ 1 N)))) (* 1.0 (* (pow -1 1/3) (/ 1 N)))) 2.801 * [backup-simplify]: Simplify (fma (* (cbrt (log (+ (/ 1 (- N)) 1.0))) (cbrt (log (+ (/ 1 (- N)) 1.0)))) (cbrt (log (+ (/ 1 (- N)) 1.0))) (log (/ 1 (/ 1 (- N))))) into (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) 2.801 * [approximate]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in (N) around 0 2.801 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in N 2.801 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) (log (* -1 N))) 2.801 * [taylor]: Taking taylor expansion of (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) in N 2.801 * [taylor]: Taking taylor expansion of (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) in N 2.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2)))) in N 2.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2))) in N 2.801 * [taylor]: Taking taylor expansion of 1/3 in N 2.801 * [backup-simplify]: Simplify 1/3 into 1/3 2.801 * [taylor]: Taking taylor expansion of (log (pow (log (- 1.0 (/ 1 N))) 2)) in N 2.801 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 2.801 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.801 * [taylor]: Taking taylor expansion of 1.0 in N 2.801 * [backup-simplify]: Simplify 1.0 into 1.0 2.801 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.801 * [taylor]: Taking taylor expansion of N in N 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.802 * [backup-simplify]: Simplify (- 1) into -1 2.802 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.802 * [backup-simplify]: Simplify (log -1) into (log -1) 2.803 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.803 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.804 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.805 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.805 * [backup-simplify]: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 2.805 * [backup-simplify]: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 2.806 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 2.806 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 1/3) in N 2.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 N)))))) in N 2.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 N))))) in N 2.806 * [taylor]: Taking taylor expansion of 1/3 in N 2.806 * [backup-simplify]: Simplify 1/3 into 1/3 2.806 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 2.806 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.806 * [taylor]: Taking taylor expansion of 1.0 in N 2.806 * [backup-simplify]: Simplify 1.0 into 1.0 2.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.806 * [taylor]: Taking taylor expansion of N in N 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [backup-simplify]: Simplify (- 1) into -1 2.807 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.807 * [backup-simplify]: Simplify (log -1) into (log -1) 2.807 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.808 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.808 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 2.808 * [backup-simplify]: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 2.809 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 2.809 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.809 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.809 * [taylor]: Taking taylor expansion of -1 in N 2.809 * [backup-simplify]: Simplify -1 into -1 2.809 * [taylor]: Taking taylor expansion of N in N 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* -1 0) into 0 2.809 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.810 * [backup-simplify]: Simplify (log -1) into (log -1) 2.810 * [taylor]: Taking taylor expansion of (fma (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3) (log (* -1 N))) in N 2.810 * [taylor]: Rewrote expression to (+ (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) (log (* -1 N))) 2.810 * [taylor]: Taking taylor expansion of (* (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) (pow (log (- 1.0 (/ 1 N))) 1/3)) in N 2.810 * [taylor]: Taking taylor expansion of (pow (pow (log (- 1.0 (/ 1 N))) 2) 1/3) in N 2.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2)))) in N 2.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (- 1.0 (/ 1 N))) 2))) in N 2.810 * [taylor]: Taking taylor expansion of 1/3 in N 2.810 * [backup-simplify]: Simplify 1/3 into 1/3 2.810 * [taylor]: Taking taylor expansion of (log (pow (log (- 1.0 (/ 1 N))) 2)) in N 2.810 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 2.810 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.810 * [taylor]: Taking taylor expansion of 1.0 in N 2.810 * [backup-simplify]: Simplify 1.0 into 1.0 2.810 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.810 * [taylor]: Taking taylor expansion of N in N 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (/ 1 1) into 1 2.811 * [backup-simplify]: Simplify (- 1) into -1 2.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.811 * [backup-simplify]: Simplify (log -1) into (log -1) 2.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.813 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.813 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.814 * [backup-simplify]: Simplify (log (pow (- (log -1) (log N)) 2)) into (log (pow (- (log -1) (log N)) 2)) 2.814 * [backup-simplify]: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 2))) into (* 1/3 (log (pow (- (log -1) (log N)) 2))) 2.814 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) into (pow (pow (- (log -1) (log N)) 2) 1/3) 2.814 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 1/3) in N 2.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 N)))))) in N 2.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 N))))) in N 2.814 * [taylor]: Taking taylor expansion of 1/3 in N 2.814 * [backup-simplify]: Simplify 1/3 into 1/3 2.814 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 2.814 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.814 * [taylor]: Taking taylor expansion of 1.0 in N 2.814 * [backup-simplify]: Simplify 1.0 into 1.0 2.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.814 * [taylor]: Taking taylor expansion of N in N 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (/ 1 1) into 1 2.815 * [backup-simplify]: Simplify (- 1) into -1 2.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.815 * [backup-simplify]: Simplify (log -1) into (log -1) 2.816 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.816 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.817 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 2.817 * [backup-simplify]: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) 2.817 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) 2.817 * [taylor]: Taking taylor expansion of (log (* -1 N)) in N 2.817 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.817 * [taylor]: Taking taylor expansion of -1 in N 2.817 * [backup-simplify]: Simplify -1 into -1 2.817 * [taylor]: Taking taylor expansion of N in N 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.818 * [backup-simplify]: Simplify (* -1 0) into 0 2.818 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.818 * [backup-simplify]: Simplify (log -1) into (log -1) 2.819 * [backup-simplify]: Simplify (* (pow (pow (- (log -1) (log N)) 2) 1/3) (pow (- (log -1) (log N)) 1/3)) into (- (log -1) (log N)) 2.819 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log -1) (log N)) 2.820 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (+ (log -1) (log N))) into (* 2 (log -1)) 2.821 * [backup-simplify]: Simplify (* 2 (log -1)) into (* 2 (log -1)) 2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (- 0) into 0 2.822 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.826 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1.0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1.0 (- (log -1) (log N))) 2.828 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1.0 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 2.829 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) 2.829 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (- 0) into 0 2.830 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.834 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.835 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 2.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2.0 (log N)) (* 2.0 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 1) into (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2.837 * [backup-simplify]: Simplify (+ (* 1/3 (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2)))) into (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2.839 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 1) 1)))) into (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) 2.841 * [backup-simplify]: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3))) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 2.842 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.845 * [backup-simplify]: Simplify (+ (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 0) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 2.847 * [backup-simplify]: Simplify (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) into (- (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) 0.3333333333333333))) 2.848 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (- 0) into 0 2.849 * [backup-simplify]: Simplify (+ 0 0) into 0 2.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.855 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.857 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1.0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2))))) 2.859 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2)))))) (+ (* 0 (/ -1.0 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.16666666666666666 (/ 1 (pow (- (log -1) (log N)) 2))))) 2.860 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 0.3333333333333333 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.16666666666666666 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* -1 (* (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.1111111111111111 (/ 1 (pow (- (log -1) (log N)) 2)))) (pow (- (log -1) (log N)) 1/3))) 2.861 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify (+ 0 0) into 0 2.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.874 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.875 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1))) 2.877 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2.0 (log N)) (* 2.0 (log -1)))) 2)) (pow (pow (- (log -1) (log N)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1)))) 1)) (pow (pow (- (log -1) (log N)) 2) 1)))) 2) into (* 1/2 (- (+ (* 2.0 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 8.0 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 4.0 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 4.0 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) 2.883 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 2.0 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 8.0 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 4.0 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 4.0 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))))) (+ (* 0 (- (* 2.0 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 2.0 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* 0 (log (pow (- (log -1) (log N)) 2))))) into (- (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))) 2.889 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 2)))) (+ (* (/ (pow (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2)))) 2) 2)) (* (/ (pow (- (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.6666666666666666 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4)))))) 1) 1)))) into (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.8888888888888888 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.4444444444444444 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) 2.897 * [backup-simplify]: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1 (* (+ (* 0.16666666666666666 (/ 1 (- (log -1) (log N)))) (* 0.1111111111111111 (/ 1 (pow (- (log -1) (log N)) 2)))) (pow (- (log -1) (log N)) 1/3)))) (+ (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (* 0.6666666666666666 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.6666666666666666 (/ (log -1) (pow (- (log -1) (log N)) 2))))) (* -0.3333333333333333 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* (pow (pow (- (log -1) (log N)) 2) 1/3) (- (+ (* 0.3333333333333333 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 0.8888888888888888 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 4))))) (+ (* 0.3333333333333333 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 4))) (* 0.4444444444444444 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 4))))))) (pow (- (log -1) (log N)) 1/3)))) into (- (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 2.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.899 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.908 * [backup-simplify]: Simplify (+ (- (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 0) into (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 2.916 * [backup-simplify]: Simplify (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) into (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log N)) 2))) (+ (* 0.16666666666666666 (/ (log N) (- (log -1) (log N)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log N)))) (+ (* 0.4444444444444445 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log N)) 2))) (+ (* 0.3333333333333333 (/ (pow (log N) 2) (pow (- (log -1) (log N)) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 4))))))))) 2.929 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.4444444444444445 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.16666666666666666 (/ (log (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 0.6666666666666666 (/ (* (log -1) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.4444444444444444 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 4))))))) (+ (* 0.16666666666666666 (/ (log -1) (- (log -1) (log (/ 1 (- N)))))) (+ (* 0.4444444444444445 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 4))) (+ (* 0.3333333333333333 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.3333333333333333 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 1.3333333333333333 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 4))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1.3333333333333333 (/ (* (log -1) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 0.6666666666666666 (/ (pow (log (/ 1 (- N))) 2) (pow (- (log -1) (log (/ 1 (- N)))) 2))) 0.3333333333333333))) (/ 1 (- N))) (* 2 (log -1)))) into (- (+ (* 0.3333333333333333 (/ 1 N)) (+ (* 2 (log -1)) (+ (* 0.4444444444444445 (/ (log -1) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log (/ -1 N)) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 0.16666666666666666 (/ (log (/ -1 N)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 1.3333333333333333 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.6666666666666666 (/ (* (log -1) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.6666666666666666 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (* 0.4444444444444444 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))))))))))) (+ (* 1.3333333333333333 (/ (* (log -1) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) N))) (+ (* 1.3333333333333333 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.16666666666666666 (/ (log -1) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 0.4444444444444445 (/ (log (/ -1 N)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 0.4444444444444444 (/ (pow (log -1) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 4)))) (+ (* 0.3333333333333333 (/ (pow (log (/ -1 N)) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (* 0.3333333333333333 (/ (pow (log -1) 2) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2))))))))))) 2.929 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 2.929 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 2.929 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.930 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.930 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.930 * [taylor]: Taking taylor expansion of N in N 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [taylor]: Taking taylor expansion of 1.0 in N 2.930 * [backup-simplify]: Simplify 1.0 into 1.0 2.930 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.930 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.930 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.930 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.930 * [taylor]: Taking taylor expansion of N in N 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [taylor]: Taking taylor expansion of 1.0 in N 2.930 * [backup-simplify]: Simplify 1.0 into 1.0 2.931 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.931 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.931 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.931 * [backup-simplify]: Simplify (+ 1 0) into 1 2.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.934 * [backup-simplify]: Simplify 1.0 into 1.0 2.934 * [backup-simplify]: Simplify (+ 0 0) into 0 2.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.940 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.941 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 2.941 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 2.941 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.941 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.941 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.941 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.941 * [taylor]: Taking taylor expansion of N in N 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.942 * [taylor]: Taking taylor expansion of 1.0 in N 2.942 * [backup-simplify]: Simplify 1.0 into 1.0 2.942 * [backup-simplify]: Simplify (+ 1 0) into 1 2.942 * [backup-simplify]: Simplify (log 1) into 0 2.942 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.942 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.942 * [taylor]: Taking taylor expansion of N in N 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.943 * [taylor]: Taking taylor expansion of 1.0 in N 2.943 * [backup-simplify]: Simplify 1.0 into 1.0 2.943 * [backup-simplify]: Simplify (+ 1 0) into 1 2.943 * [backup-simplify]: Simplify (log 1) into 0 2.943 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.943 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.947 * [backup-simplify]: Simplify 1.0 into 1.0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.954 * [backup-simplify]: Simplify -0.5 into -0.5 2.954 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 2.954 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 2.954 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 2.954 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.954 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.954 * [taylor]: Taking taylor expansion of 1.0 in N 2.954 * [backup-simplify]: Simplify 1.0 into 1.0 2.954 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.954 * [taylor]: Taking taylor expansion of N in N 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.955 * [backup-simplify]: Simplify (/ 1 1) into 1 2.955 * [backup-simplify]: Simplify (- 1) into -1 2.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.955 * [backup-simplify]: Simplify (log -1) into (log -1) 2.955 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.955 * [taylor]: Taking taylor expansion of 1.0 in N 2.955 * [backup-simplify]: Simplify 1.0 into 1.0 2.955 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.955 * [taylor]: Taking taylor expansion of N in N 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (/ 1 1) into 1 2.956 * [backup-simplify]: Simplify (- 1) into -1 2.956 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.956 * [backup-simplify]: Simplify (log -1) into (log -1) 2.957 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.957 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 2.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.958 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.967 * [backup-simplify]: Simplify -1.0 into -1.0 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.974 * [backup-simplify]: Simplify -0.5 into -0.5 2.975 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 2.975 * * * [progress]: simplifying candidates 2.976 * [simplify]: Simplifying: (expm1 (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0)))) (log (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (exp (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (cbrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (expm1 (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (log1p (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0)))) (log (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (exp (fma (* (cbrt (log (+ N 1.0))) (cbrt 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N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0)))) (log (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (exp (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (cbrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (cbrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))))) (cbrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (* (* (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (sqrt (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (log (/ 1 N)))) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* (pow -1 1/3) (log (/ 1 N))) (+ (* 0.5 (* (pow -1 1/3) (/ 1 (pow N 2)))) (log (/ 1 N)))) (* 1.0 (* (pow -1 1/3) (/ 1 N)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (+ (* 2 (log -1)) (+ (* 0.4444444444444445 (/ (log -1) (* (pow N 2) (pow (- 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(pow (- (log -1) (log (/ -1 h0))) 4)))))))))))) (+ (* h7 (/ (* (log -1) (log (/ -1 h0))) (* (pow (- (log -1) (log (/ -1 h0))) 2) h0))) (+ (* h7 (/ (* (log -1) (pow (log (/ -1 h0)) 2)) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 4)))) (+ (* h6 (/ (log -1) (* (pow h0 2) (- (log -1) (log (/ -1 h0)))))) (+ (* h4 (/ (log (/ -1 h0)) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 2)))) (+ (* h8 (/ (pow (log -1) 3) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 4)))) (+ (* h3 (/ (pow (log (/ -1 h0)) 2) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 2)))) (* h3 (/ (pow (log -1) 2) (* (pow h0 2) (pow (- (log -1) (log (/ -1 h0))) 2))))))))))) (- (+ (* h1 h0) (log h1)) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* h1 (/ 1 h0)) (log -1)) (+ (* h2 (/ 1 (pow h0 2))) (log (/ -1 h0)))) 2.984 * * [simplify]: iteration 0 : 435 enodes (cost 1212 ) 2.991 * * [simplify]: iteration 1 : 1865 enodes (cost 1090 ) 3.019 * * [simplify]: iteration 2 : 5002 enodes (cost 1045 ) 3.024 * * * [progress]: adding candidates to table 3.328 * [progress]: [Phase 3 of 3] Extracting. 3.328 * * [regime]: Finding splitpoints for: (# # #) 3.329 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.329 * * * * [regimes]: Trying to branch on N from (# # #) 3.351 * * * [regime]: Found split indices: #