5.206 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.049 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log h0)) 0.051 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.052 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.053 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.079 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.079 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.079 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.079 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [backup-simplify]: Simplify 1.0 into 1.0 0.080 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.080 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.080 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.081 * [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 1.0 into 1.0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [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)) 0.089 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.090 * [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)))) 0.091 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.091 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of 1.0 in N 0.091 * [backup-simplify]: Simplify 1.0 into 1.0 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (log 1) into 0 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [backup-simplify]: Simplify 1.0 into 1.0 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (log 1) into 0 0.093 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.093 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.097 * [backup-simplify]: Simplify 1.0 into 1.0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [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 0.107 * [backup-simplify]: Simplify -0.5 into -0.5 0.107 * [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)))) 0.107 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.107 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.107 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.108 * [backup-simplify]: Simplify (log -1) into (log -1) 0.108 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (- 1) into -1 0.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.109 * [backup-simplify]: Simplify (log -1) into (log -1) 0.110 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.110 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.115 * [backup-simplify]: Simplify -1.0 into -1.0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.121 * [backup-simplify]: Simplify -0.5 into -0.5 0.122 * [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)))) 0.122 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.122 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.122 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.123 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.123 * [taylor]: Taking taylor expansion of (log N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (log 1) into 0 0.123 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.123 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.124 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.124 * [taylor]: Taking taylor expansion of (log N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.124 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.124 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.125 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.125 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.129 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [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)) 0.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.143 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.147 * [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))) 0.147 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.147 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.147 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.147 * [taylor]: Taking taylor expansion of N in N 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.149 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.149 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of 1.0 in N 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify (log 1) into 0 0.151 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify (log 1) into 0 0.152 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.152 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.152 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.153 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.161 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [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 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.169 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [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 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [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 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.182 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.183 * [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)))) 0.183 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.183 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.183 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [backup-simplify]: Simplify 1.0 into 1.0 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify (- 1) into -1 0.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.184 * [backup-simplify]: Simplify (log -1) into (log -1) 0.184 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.184 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.184 * [taylor]: Taking taylor expansion of -1 in N 0.184 * [backup-simplify]: Simplify -1 into -1 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ -1 1) into -1 0.185 * [backup-simplify]: Simplify (log -1) into (log -1) 0.185 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.185 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (- 1) into -1 0.186 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.186 * [backup-simplify]: Simplify (log -1) into (log -1) 0.186 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.186 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.186 * [taylor]: Taking taylor expansion of -1 in N 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ -1 1) into -1 0.187 * [backup-simplify]: Simplify (log -1) into (log -1) 0.187 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.188 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.188 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.188 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.195 * [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) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [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 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.207 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [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 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [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 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.221 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.222 * [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)))) 0.222 * * * [progress]: simplifying candidates 0.222 * [simplify]: Simplifying: (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))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.223 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (log (cbrt (+ h1 h0))) (log (sqrt (+ h1 h0))) (log (sqrt (+ h1 h0))) (log 1) (log (+ h1 h0)) (log 1) (log (+ h1 h0)) (log (+ (pow h1 3) (pow h0 3))) (log (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (log (- (* h1 h1) (* h0 h0))) (log (- h1 h0)) (log (+ h1 h0)) (log (log (+ h1 h0))) (exp (log (+ h1 h0))) (* (cbrt (log (+ h1 h0))) (cbrt (log (+ h1 h0)))) (cbrt (log (+ h1 h0))) (* (* (log (+ h1 h0)) (log (+ h1 h0))) (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (sqrt (log (+ h1 h0))) (/ (+ h1 h0) h1) (log (- (log (+ h1 h0)) (log h1))) (exp (- (log (+ h1 h0)) (log h1))) (* (cbrt (- (log (+ h1 h0)) (log h1))) (cbrt (- (log (+ h1 h0)) (log h1)))) (cbrt (- (log (+ h1 h0)) (log h1))) (* (* (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1))) (- (log (+ h1 h0)) (log h1))) (sqrt (- (log (+ h1 h0)) (log h1))) (sqrt (- (log (+ h1 h0)) (log h1))) (- (pow (log (+ h1 h0)) 3) (pow (log h1) 3)) (+ (* (log (+ h1 h0)) (log (+ h1 h0))) (+ (* (log h1) (log h1)) (* (log (+ h1 h0)) (log h1)))) (- (log h1)) (- (* (log (+ h1 h0)) (log (+ h1 h0))) (* (log h1) (log h1))) (+ (log (+ h1 h0)) (log h1)) (+ (sqrt (log (+ h1 h0))) (sqrt (log h1))) (- (sqrt (log (+ h1 h0))) (sqrt (log h1))) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log (* (cbrt h1) (cbrt h1)))) (- (log (+ h1 h0)) (log (sqrt h1))) (- (log (+ h1 h0)) (log 1)) (- (log (cbrt (+ h1 h0))) (log h1)) (- (log (sqrt (+ h1 h0))) (log h1)) (- (log (+ h1 h0)) (log h1)) (- (log (+ h1 h0)) (log h1)) (+ (log (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (log h1)) (+ (log (- h1 h0)) (log h1)) (- (log h1)) (- (+ (* h0 h1) (log h0)) (* 1/2 (/ (pow h1 2) (pow h0 2)))) (- (* h0 (/ 1 h1)) (+ (* h2 (/ 1 (pow h1 2))) (log (/ 1 h1)))) (- (+ (* h0 (/ 1 h1)) (log -1)) (+ (* h2 (/ 1 (pow h1 2))) (log (/ -1 h1)))) (- (+ (* h0 h1) (log h0)) (+ (* 1/2 (/ (pow h1 2) (pow h0 2))) (log h1))) (- (+ (* h3 (/ 1 (pow h1 3))) (* h0 (/ 1 h1))) (* h2 (/ 1 (pow h1 2)))) (- (+ (* h3 (/ 1 (pow h1 3))) (* h0 (/ 1 h1))) (* h2 (/ 1 (pow h1 2)))) 0.226 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.229 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.237 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.272 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.274 * * * [progress]: adding candidates to table 0.369 * * [progress]: iteration 2 / 4 0.369 * * * [progress]: picking best candidate 0.376 * * * * [pick]: Picked # 0.376 * * * [progress]: localizing error 0.386 * * * [progress]: generating rewritten candidates 0.386 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.394 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.458 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.495 * * * [progress]: generating series expansions 0.495 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.495 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 0.495 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.495 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.496 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.503 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 0.503 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.503 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.503 * [taylor]: Taking taylor expansion of N in N 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.503 * [taylor]: Taking taylor expansion of N in N 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 0.507 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 0.508 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.508 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 0.512 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.512 * [backup-simplify]: Simplify (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 0.512 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.512 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.512 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.512 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.512 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.512 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [taylor]: Taking taylor expansion of 0.5 in N 0.512 * [backup-simplify]: Simplify 0.5 into 0.5 0.512 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.513 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.514 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.514 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.514 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.514 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.514 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.514 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of 0.5 in N 0.514 * [backup-simplify]: Simplify 0.5 into 0.5 0.514 * [taylor]: Taking taylor expansion of (pow N 2) 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 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.515 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 0.515 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.517 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 0.519 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.538 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 0.538 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.538 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.538 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.538 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.538 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.538 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of 0.5 in N 0.538 * [backup-simplify]: Simplify 0.5 into 0.5 0.538 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.538 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.538 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.538 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.538 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of 0.5 in N 0.538 * [backup-simplify]: Simplify 0.5 into 0.5 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.539 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.540 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.540 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 0.540 * [backup-simplify]: Simplify -0.5 into -0.5 0.541 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.541 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 0.543 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.543 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.544 * [backup-simplify]: Simplify (- 0) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.559 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) into (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) 0.559 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.559 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.560 * [taylor]: Taking taylor expansion of -1 in N 0.560 * [backup-simplify]: Simplify -1 into -1 0.560 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.560 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.560 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.560 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [taylor]: Taking taylor expansion of 0.5 in N 0.560 * [backup-simplify]: Simplify 0.5 into 0.5 0.560 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.560 * [taylor]: Taking taylor expansion of -1 in N 0.560 * [backup-simplify]: Simplify -1 into -1 0.560 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.560 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.560 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.560 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [taylor]: Taking taylor expansion of 0.5 in N 0.560 * [backup-simplify]: Simplify 0.5 into 0.5 0.560 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.561 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.561 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 0.561 * [backup-simplify]: Simplify -0.5 into -0.5 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 0.563 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0.3333333333333333 1)) into 0.3333333333333333 0.567 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 0.568 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (* 0 1))) into 0 0.570 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.576 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.580 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.583 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.587 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 0.588 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.588 * [backup-simplify]: Simplify (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.588 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.588 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.588 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.588 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.588 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.588 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.588 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.589 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.589 * [taylor]: Taking taylor expansion of 1.0 in N 0.589 * [backup-simplify]: Simplify 1.0 into 1.0 0.589 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.590 * [taylor]: Taking taylor expansion of 0.5 in N 0.590 * [backup-simplify]: Simplify 0.5 into 0.5 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.590 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.590 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.590 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.590 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.590 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.590 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.591 * [taylor]: Taking taylor expansion of 1.0 in N 0.591 * [backup-simplify]: Simplify 1.0 into 1.0 0.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.591 * [taylor]: Taking taylor expansion of 0.5 in N 0.591 * [backup-simplify]: Simplify 0.5 into 0.5 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.592 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.593 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.593 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.593 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.595 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.596 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.596 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.598 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.598 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.600 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.600 * [backup-simplify]: Simplify 1.0 into 1.0 0.600 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 0.601 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 0.601 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.601 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.601 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.601 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.601 * [backup-simplify]: Simplify 1.0 into 1.0 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.601 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.601 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.601 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.601 * [taylor]: Taking taylor expansion of 0.5 in N 0.601 * [backup-simplify]: Simplify 0.5 into 0.5 0.601 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.601 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.601 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.601 * [backup-simplify]: Simplify 1.0 into 1.0 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.601 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.601 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.601 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.601 * [taylor]: Taking taylor expansion of 0.5 in N 0.601 * [backup-simplify]: Simplify 0.5 into 0.5 0.601 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.603 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.604 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.604 * [backup-simplify]: Simplify 1.0 into 1.0 0.604 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.605 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.605 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.606 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.606 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.607 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.608 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.609 * [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)))) 0.609 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) (/ 1.0 (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 0.609 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.609 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.609 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.609 * [taylor]: Taking taylor expansion of 0.5 in N 0.609 * [backup-simplify]: Simplify 0.5 into 0.5 0.609 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.610 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.610 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [backup-simplify]: Simplify 1.0 into 1.0 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.610 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.610 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.610 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.610 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.610 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.610 * [taylor]: Taking taylor expansion of 0.5 in N 0.610 * [backup-simplify]: Simplify 0.5 into 0.5 0.610 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.610 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.610 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [backup-simplify]: Simplify 1.0 into 1.0 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.610 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.610 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.610 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.612 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.612 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.613 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.613 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.613 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.614 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.615 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.615 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.615 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.617 * [backup-simplify]: Simplify (* 1 1) into 1 0.617 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.617 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.617 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.618 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.618 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.619 * [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)))) 0.619 * * * [progress]: simplifying candidates 0.621 * [simplify]: Simplifying: (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5)))) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (* (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) N) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.622 * [simplify]: Sending expressions to egg_math: (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (+ (- (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (- 0 (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- 0 (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- 0 (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ h2 h0) h1))) (+ (- (log 1) (log (pow h0 2))) (log (- (/ h2 h0) h1))) (+ (log (/ 1 (pow h0 2))) (log (- (/ h2 h0) h1))) (log (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (exp (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1))) (* (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (* (* (- (/ h2 h0) h1) (- (/ h2 h0) h1)) (- (/ h2 h0) h1))) (* (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)))) (cbrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (sqrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (sqrt (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* 1 (- (pow (/ h2 h0) 3) (pow h1 3))) (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) (* 1 (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) (* (pow h0 2) (+ (/ h2 h0) h1)) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) h0) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) h0) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 h0) (sqrt (- (/ h2 h0) h1))) (* (/ 1 h0) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) (/ h2 h0)) (* (/ 1 (pow h0 2)) (- h1)) (* (/ 1 (pow h0 2)) (/ h2 h0)) (* (/ 1 (pow h0 2)) (- h1)) (* (/ h2 h0) (/ 1 (pow h0 2))) (* (- h1) (/ 1 (pow h0 2))) (* (/ h2 h0) (/ 1 (pow h0 2))) (* (- h1) (/ 1 (pow h0 2))) (* (/ 1 (pow h0 2)) (* (cbrt (- (/ h2 h0) h1)) (cbrt (- (/ h2 h0) h1)))) (* (/ 1 (pow h0 2)) (sqrt (- (/ h2 h0) h1))) (* (/ 1 (pow h0 2)) 1) (* (/ 1 (pow h0 2)) (+ (sqrt (/ h2 h0)) (sqrt h1))) (* (/ 1 (pow h0 2)) (+ (/ (sqrt h2) (sqrt h0)) (sqrt h1))) (* (/ 1 (pow h0 2)) 1) (* (cbrt (/ 1 (pow h0 2))) (- (/ h2 h0) h1)) (* (sqrt (/ 1 (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) h0) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (cbrt 1) (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) h0) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 2)) (- (/ h2 h0) h1)) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow (cbrt h0) 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow (sqrt h0) 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 h0) (- (/ h2 h0) h1)) (* (/ 1 (cbrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ 1 (sqrt (pow h0 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 (/ 2 2))) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) (* (/ 1 (pow h0 2)) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) (* 1 (- (/ h2 h0) h1)) (* (exp (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (exp (/ h3 h0))) (log (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (exp (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (* (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (* (* (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0))) (+ (* (* 1 (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) h3)) (* (* (pow h0 2) (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1)))) h0) (+ (* (* 1 (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) h0) (* (* (pow h0 2) (+ (/ h2 h0) h1)) h3)) (* (* (pow h0 2) (+ (/ h2 h0) h1)) h0) (+ (* (* (/ 1 (pow h0 2)) (- (pow (/ h2 h0) 3) (pow h1 3))) h0) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h3)) (* (+ (* (/ h2 h0) (/ h2 h0)) (+ (* h1 h1) (* (/ h2 h0) h1))) h0) (+ (* (* (/ 1 (pow h0 2)) (- (* (/ h2 h0) (/ h2 h0)) (* h1 h1))) h0) (* (+ (/ h2 h0) h1) h3)) (* (+ (/ h2 h0) h1) h0) (+ (* (* 1 (- (/ h2 h0) h1)) h0) (* (pow h0 2) h3)) (* (pow h0 2) h0) (+ (pow (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) 3) (pow (/ h3 h0) 3)) (+ (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (- (* (/ h3 h0) (/ h3 h0)) (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)))) (- (* (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1))) (* (/ h3 h0) (/ h3 h0))) (- (* (/ 1 (pow h0 2)) (- (/ h2 h0) h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- h1)) (/ h3 h0)) (+ (* (/ 1 (pow h0 2)) (- h1)) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (+ (* (- h1) (/ 1 (pow h0 2))) (/ h3 h0)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (* h2 (/ 1 (pow h0 3))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 h0)) (* h2 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h2 (/ 1 (pow h0 3))) (* h3 (/ 1 h0))) (* h1 (/ 1 (pow h0 2)))) 0.629 * * [simplify]: iteration 0 : 583 enodes (cost 1087 ) 0.641 * * [simplify]: iteration 1 : 2726 enodes (cost 904 ) 0.686 * * [simplify]: iteration 2 : 5001 enodes (cost 841 ) 0.691 * * * [progress]: adding candidates to table 0.935 * * [progress]: iteration 3 / 4 0.935 * * * [progress]: picking best candidate 0.944 * * * * [pick]: Picked # 0.945 * * * [progress]: localizing error 0.949 * * * [progress]: generating rewritten candidates 0.949 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.955 * * * [progress]: generating series expansions 0.955 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.956 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.956 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.956 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.956 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.956 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.956 * [taylor]: Taking taylor expansion of N in N 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [taylor]: Taking taylor expansion of 1.0 in N 0.956 * [backup-simplify]: Simplify 1.0 into 1.0 0.956 * [taylor]: Taking taylor expansion of N in N 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.957 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.957 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.957 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.957 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.957 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [taylor]: Taking taylor expansion of 1.0 in N 0.957 * [backup-simplify]: Simplify 1.0 into 1.0 0.957 * [taylor]: Taking taylor expansion of N in N 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.957 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.958 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.958 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.959 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.959 * [backup-simplify]: Simplify (+ 1 0) into 1 0.959 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.962 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.962 * [backup-simplify]: Simplify 1.0 into 1.0 0.963 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.968 * [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)) 0.969 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.970 * [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))) 0.970 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.970 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.970 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.970 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.970 * [taylor]: Taking taylor expansion of N in N 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.970 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.970 * [taylor]: Taking taylor expansion of N in N 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (/ 1 1) into 1 0.971 * [taylor]: Taking taylor expansion of 1.0 in N 0.971 * [backup-simplify]: Simplify 1.0 into 1.0 0.971 * [backup-simplify]: Simplify (+ 1 0) into 1 0.971 * [backup-simplify]: Simplify (* 0 1) into 0 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.972 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.972 * [backup-simplify]: Simplify (log 1) into 0 0.972 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.972 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.972 * [taylor]: Taking taylor expansion of N in N 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.972 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.972 * [taylor]: Taking taylor expansion of N in N 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ 1 1) into 1 0.973 * [taylor]: Taking taylor expansion of 1.0 in N 0.973 * [backup-simplify]: Simplify 1.0 into 1.0 0.973 * [backup-simplify]: Simplify (+ 1 0) into 1 0.973 * [backup-simplify]: Simplify (* 0 1) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.974 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.974 * [backup-simplify]: Simplify (log 1) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.980 * [backup-simplify]: Simplify 1.0 into 1.0 0.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.991 * [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 0.991 * [backup-simplify]: Simplify -0.5 into -0.5 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.001 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.001 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.001 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.001 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.002 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.002 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.002 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.002 * [taylor]: Taking taylor expansion of -1 in N 1.002 * [backup-simplify]: Simplify -1 into -1 1.002 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.002 * [taylor]: Taking taylor expansion of N in N 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.002 * [taylor]: Taking taylor expansion of 1.0 in N 1.002 * [backup-simplify]: Simplify 1.0 into 1.0 1.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.002 * [taylor]: Taking taylor expansion of N in N 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.002 * [backup-simplify]: Simplify (- 1) into -1 1.002 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.003 * [backup-simplify]: Simplify (* 0 -1) into 0 1.003 * [backup-simplify]: Simplify (* -1 0) into 0 1.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- 0) into 0 1.004 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.004 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.005 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.005 * [backup-simplify]: Simplify (log 1) into 0 1.005 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.005 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.005 * [taylor]: Taking taylor expansion of -1 in N 1.005 * [backup-simplify]: Simplify -1 into -1 1.005 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.005 * [taylor]: Taking taylor expansion of 1.0 in N 1.005 * [backup-simplify]: Simplify 1.0 into 1.0 1.005 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [backup-simplify]: Simplify (- 1) into -1 1.006 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.006 * [backup-simplify]: Simplify (* 0 -1) into 0 1.006 * [backup-simplify]: Simplify (* -1 0) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.007 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.007 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.008 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.008 * [backup-simplify]: Simplify (log 1) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (- 0) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.012 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.015 * [backup-simplify]: Simplify -1.0 into -1.0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (- 0) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.024 * [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 1.024 * [backup-simplify]: Simplify -0.5 into -0.5 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.027 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.036 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 1.036 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.036 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.036 * * * [progress]: simplifying candidates 1.037 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (* 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)))) 1.037 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (log (cbrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (sqrt (/ (+ h0 h1) h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 h1)) (cbrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (log (/ (cbrt (+ h0 h1)) (sqrt h0))) (log (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (log (/ (cbrt (+ h0 h1)) h0)) (log (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 h1)) (cbrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) (sqrt h0))) (log (/ (sqrt (+ h0 h1)) 1)) (log (/ (sqrt (+ h0 h1)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 h1) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 h1) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 h1) h0)) (log 1) (log (/ (+ h0 h1) h0)) (log (+ h0 h1)) (log (/ 1 h0)) (log (+ h0 h1)) (log h0) (log (/ (+ h0 h1) h0)) (log (log (/ (+ h0 h1) h0))) (exp (log (/ (+ h0 h1) h0))) (* (cbrt (log (/ (+ h0 h1) h0))) (cbrt (log (/ (+ h0 h1) h0)))) (cbrt (log (/ (+ h0 h1) h0))) (* (* (log (/ (+ h0 h1) h0)) (log (/ (+ h0 h1) h0))) (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (sqrt (log (/ (+ h0 h1) h0))) (- (+ (* h1 h0) (log h1)) (+ (* 1/2 (/ (pow h0 2) (pow h1 2))) (log h0))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) (- (+ (* h3 (/ 1 (pow h0 3))) (* h1 (/ 1 h0))) (* h2 (/ 1 (pow h0 2)))) 1.040 * * [simplify]: iteration 0 : 167 enodes (cost 209 ) 1.043 * * [simplify]: iteration 1 : 455 enodes (cost 196 ) 1.051 * * [simplify]: iteration 2 : 1964 enodes (cost 184 ) 1.094 * * [simplify]: iteration 3 : 5002 enodes (cost 184 ) 1.095 * * * [progress]: adding candidates to table 1.143 * * [progress]: iteration 4 / 4 1.143 * * * [progress]: picking best candidate 1.152 * * * * [pick]: Picked # 1.152 * * * [progress]: localizing error 1.165 * * * [progress]: generating rewritten candidates 1.166 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.217 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.218 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 1.219 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.225 * * * [progress]: generating series expansions 1.225 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.225 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) into (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) 1.225 * [approximate]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in (N) around 0 1.225 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 1.225 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 1.225 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 1.225 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.225 * [taylor]: Taking taylor expansion of 1/3 in N 1.225 * [backup-simplify]: Simplify 1/3 into 1/3 1.225 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.225 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.225 * [taylor]: Taking taylor expansion of N in N 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (* 1 1) into 1 1.226 * [backup-simplify]: Simplify (/ 1 1) into 1 1.226 * [backup-simplify]: Simplify (log 1) into 0 1.227 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.227 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.227 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.227 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.227 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [taylor]: Taking taylor expansion of 1.0 in N 1.227 * [backup-simplify]: Simplify 1.0 into 1.0 1.227 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.227 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.228 * [backup-simplify]: Simplify (+ 1 0) into 1 1.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.229 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1.229 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) 1.229 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 1.229 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 1.229 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.230 * [taylor]: Taking taylor expansion of 1/3 in N 1.230 * [backup-simplify]: Simplify 1/3 into 1/3 1.230 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.230 * [taylor]: Taking taylor expansion of N in N 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [backup-simplify]: Simplify (log 1) into 0 1.230 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.230 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.230 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.230 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.230 * [taylor]: Taking taylor expansion of N in N 1.230 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [taylor]: Taking taylor expansion of 1.0 in N 1.231 * [backup-simplify]: Simplify 1.0 into 1.0 1.231 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.231 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.231 * [backup-simplify]: Simplify (+ 1 0) into 1 1.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.232 * [backup-simplify]: Simplify (* (pow N -1/3) (sqrt 1.0)) into (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1.233 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) 1.233 * [taylor]: Taking taylor expansion of (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))))) in N 1.233 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0)))) in N 1.233 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (sqrt (+ N 1.0))) in N 1.233 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 1.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 1.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 1.233 * [taylor]: Taking taylor expansion of 1/3 in N 1.233 * [backup-simplify]: Simplify 1/3 into 1/3 1.233 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.233 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.233 * [taylor]: Taking taylor expansion of N in N 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (* 1 1) into 1 1.234 * [backup-simplify]: Simplify (/ 1 1) into 1 1.234 * [backup-simplify]: Simplify (log 1) into 0 1.234 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.234 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 1.234 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 1.234 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.234 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.234 * [taylor]: Taking taylor expansion of N in N 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [taylor]: Taking taylor expansion of 1.0 in N 1.234 * [backup-simplify]: Simplify 1.0 into 1.0 1.235 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.235 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.235 * [backup-simplify]: Simplify (+ 1 0) into 1 1.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.236 * [backup-simplify]: Simplify (* (pow N -2/3) (sqrt 1.0)) into (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1.237 * [backup-simplify]: Simplify (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) 1.237 * [taylor]: Taking taylor expansion of (log (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0)))) in N 1.237 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (sqrt (+ N 1.0))) in N 1.237 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.237 * [taylor]: Taking taylor expansion of 1/3 in N 1.237 * [backup-simplify]: Simplify 1/3 into 1/3 1.237 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.237 * [taylor]: Taking taylor expansion of N in N 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify (/ 1 1) into 1 1.237 * [backup-simplify]: Simplify (log 1) into 0 1.241 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.241 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.241 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.241 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.241 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.241 * [taylor]: Taking taylor expansion of N in N 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [taylor]: Taking taylor expansion of 1.0 in N 1.241 * [backup-simplify]: Simplify 1.0 into 1.0 1.241 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.242 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.242 * [backup-simplify]: Simplify (+ 1 0) into 1 1.243 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.243 * [backup-simplify]: Simplify (* (pow N -1/3) (sqrt 1.0)) into (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1.244 * [backup-simplify]: Simplify (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) into (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) 1.245 * [backup-simplify]: Simplify (+ (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 N) 1/3) (sqrt 1.0)))) into (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))) 1.245 * [backup-simplify]: Simplify (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))) into (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))) 1.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.247 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.248 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 1.248 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.249 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0)))) 1.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.252 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.252 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.253 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.254 * [backup-simplify]: Simplify (+ (* (pow N -1/3) (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (* (pow (/ 1 N) 1/3) (/ 1 (sqrt 1.0)))) 1.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 N) 1/3) (/ 1 (sqrt 1.0))))) 1)) (pow (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.257 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 1.258 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 1.259 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.265 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 1.265 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 1.266 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (sqrt 1.0) 3))))) 1.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (sqrt 1.0))))) 2)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow (/ 1 (pow N 2)) 1/3) (/ 1 (pow (sqrt 1.0) 3)))))) 1)) (pow (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.274 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.276 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.278 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.280 * [backup-simplify]: Simplify (+ (* (pow N -1/3) (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (* (pow (/ 1 N) 1/3) (/ 1 (pow (sqrt 1.0) 3))))) 1.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (* (pow (/ 1 N) 1/3) (/ 1 (sqrt 1.0))))) 2)) (pow (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow (/ 1 N) 1/3) (/ 1 (pow (sqrt 1.0) 3)))))) 1)) (pow (* (pow (/ 1 N) 1/3) (sqrt 1.0)) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.285 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.287 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 1.291 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0)))))) into (- (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (+ (/ N (pow (sqrt 1.0) 2)) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))))) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 1.291 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 N) 1.0)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) 1.291 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 1.291 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 1.291 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.291 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.291 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.291 * [taylor]: Taking taylor expansion of 1/3 in N 1.291 * [backup-simplify]: Simplify 1/3 into 1/3 1.291 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.291 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.291 * [taylor]: Taking taylor expansion of N in N 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (* 1 1) into 1 1.292 * [backup-simplify]: Simplify (log 1) into 0 1.292 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.292 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.292 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 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 1.292 * [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 (sqrt 0) into 0 1.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.294 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 1.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.296 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.296 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 1.297 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.297 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.297 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 1.297 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.297 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.297 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.297 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.297 * [taylor]: Taking taylor expansion of 1/3 in N 1.297 * [backup-simplify]: Simplify 1/3 into 1/3 1.297 * [taylor]: Taking taylor expansion of (log N) in N 1.297 * [taylor]: Taking taylor expansion of N in N 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (log 1) into 0 1.298 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.298 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.298 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.298 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.298 * [taylor]: Taking taylor expansion of N in N 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [backup-simplify]: Simplify (/ 1 1) into 1 1.298 * [taylor]: Taking taylor expansion of 1.0 in N 1.298 * [backup-simplify]: Simplify 1.0 into 1.0 1.298 * [backup-simplify]: Simplify (+ 1 0) into 1 1.299 * [backup-simplify]: Simplify (sqrt 0) into 0 1.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.300 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 1.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.301 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.301 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.302 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 1.302 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow N 1/3)))) into (log (- (* +nan.0 (pow N 1/3)))) 1.302 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))))) in N 1.302 * [taylor]: Taking taylor expansion of (log (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.302 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.302 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.302 * [taylor]: Taking taylor expansion of 1/3 in N 1.302 * [backup-simplify]: Simplify 1/3 into 1/3 1.302 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.302 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.302 * [taylor]: Taking taylor expansion of N in N 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (log 1) into 0 1.303 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.303 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.303 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.303 * [taylor]: Taking taylor expansion of N in N 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [taylor]: Taking taylor expansion of 1.0 in N 1.303 * [backup-simplify]: Simplify 1.0 into 1.0 1.304 * [backup-simplify]: Simplify (+ 1 0) into 1 1.304 * [backup-simplify]: Simplify (sqrt 0) into 0 1.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.305 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.306 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.306 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 1.307 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.307 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.307 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (pow N 2) 1/3)))) into (log (- (* +nan.0 (pow (pow N 2) 1/3)))) 1.307 * [taylor]: Taking taylor expansion of (log (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0)))) in N 1.307 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (+ (/ 1 N) 1.0))) in N 1.307 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.307 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.307 * [taylor]: Taking taylor expansion of 1/3 in N 1.307 * [backup-simplify]: Simplify 1/3 into 1/3 1.307 * [taylor]: Taking taylor expansion of (log N) in N 1.307 * [taylor]: Taking taylor expansion of N in N 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (log 1) into 0 1.308 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.308 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.308 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.308 * [taylor]: Taking taylor expansion of N in N 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [taylor]: Taking taylor expansion of 1.0 in N 1.308 * [backup-simplify]: Simplify 1.0 into 1.0 1.309 * [backup-simplify]: Simplify (+ 1 0) into 1 1.309 * [backup-simplify]: Simplify (sqrt 0) into 0 1.310 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.310 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 1.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.311 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.312 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 1.312 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow N 1/3)))) into (log (- (* +nan.0 (pow N 1/3)))) 1.312 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) into (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) 1.313 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) into (+ (log (- (* +nan.0 (pow (pow N 2) 1/3)))) (log (- (* +nan.0 (pow N 1/3))))) 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.315 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.317 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.318 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 1.318 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.319 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 1) into +nan.0 1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.322 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.323 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.324 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.325 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.325 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow N 1/3))) 1.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow N 1/3)))) 1)) (pow (- (* +nan.0 (pow N 1/3))) 1)))) 1) into +nan.0 1.326 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.326 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.336 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 1.337 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.338 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (pow N 2) 1/3)))) 2)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (pow N 2) 1/3)))) 1)) (pow (- (* +nan.0 (pow (pow N 2) 1/3))) 1)))) 2) into +nan.0 1.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.344 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.344 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.346 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.347 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow N 1/3))) 1.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow N 1/3)))) 2)) (pow (- (* +nan.0 (pow N 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow N 1/3)))) 1)) (pow (- (* +nan.0 (pow N 1/3))) 1)))) 2) into +nan.0 1.348 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.348 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.349 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- (* +nan.0 (pow (pow (/ 1 N) 2) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3))))))) into (- (+ (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.349 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) 1.349 * [approximate]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 1.349 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 1.349 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.349 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.350 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.350 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.350 * [taylor]: Taking taylor expansion of -1 in N 1.350 * [backup-simplify]: Simplify -1 into -1 1.350 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.350 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.351 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 1.352 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2)) 1.352 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.352 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.352 * [taylor]: Taking taylor expansion of 1/3 in N 1.352 * [backup-simplify]: Simplify 1/3 into 1/3 1.352 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.352 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.352 * [taylor]: Taking taylor expansion of N in N 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (* 1 1) into 1 1.353 * [backup-simplify]: Simplify (log 1) into 0 1.353 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.353 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.353 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.353 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.353 * [taylor]: Taking taylor expansion of 1.0 in N 1.353 * [backup-simplify]: Simplify 1.0 into 1.0 1.353 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.353 * [taylor]: Taking taylor expansion of N in N 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (/ 1 1) into 1 1.354 * [backup-simplify]: Simplify (- 1) into -1 1.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.354 * [backup-simplify]: Simplify (sqrt 0) into 0 1.355 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.355 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 1.356 * [backup-simplify]: Simplify (* (/ 1 (pow (cbrt -1) 2)) 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.357 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 1.358 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.359 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 1.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))))) into 0 1.361 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1.363 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) into (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1.363 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.363 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.363 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.363 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.363 * [taylor]: Taking taylor expansion of -1 in N 1.363 * [backup-simplify]: Simplify -1 into -1 1.363 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.364 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.364 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.364 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.364 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.364 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.364 * [taylor]: Taking taylor expansion of 1/3 in N 1.364 * [backup-simplify]: Simplify 1/3 into 1/3 1.364 * [taylor]: Taking taylor expansion of (log N) in N 1.364 * [taylor]: Taking taylor expansion of N in N 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (log 1) into 0 1.365 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.365 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.365 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.365 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.365 * [taylor]: Taking taylor expansion of 1.0 in N 1.365 * [backup-simplify]: Simplify 1.0 into 1.0 1.365 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [backup-simplify]: Simplify (- 1) into -1 1.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.366 * [backup-simplify]: Simplify (sqrt 0) into 0 1.367 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.367 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 1.367 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) 0) into 0 1.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.368 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.368 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.369 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.369 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 1.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 1.371 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1.372 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) into (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 1.372 * [taylor]: Taking taylor expansion of (+ (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))))) in N 1.372 * [taylor]: Taking taylor expansion of (log (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.372 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (cbrt -1) 2)) (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow (cbrt -1) 2)) in N 1.372 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 1.372 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.372 * [taylor]: Taking taylor expansion of -1 in N 1.372 * [backup-simplify]: Simplify -1 into -1 1.372 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.373 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.373 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 1.374 * [backup-simplify]: Simplify (/ 1 (pow (cbrt -1) 2)) into (/ 1 (pow (cbrt -1) 2)) 1.374 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.374 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 1.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 1.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 1.374 * [taylor]: Taking taylor expansion of 1/3 in N 1.374 * [backup-simplify]: Simplify 1/3 into 1/3 1.375 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 1.375 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.375 * [taylor]: Taking taylor expansion of N in N 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (* 1 1) into 1 1.375 * [backup-simplify]: Simplify (log 1) into 0 1.375 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.375 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 1.375 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 1.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.375 * [taylor]: Taking taylor expansion of 1.0 in N 1.375 * [backup-simplify]: Simplify 1.0 into 1.0 1.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.376 * [taylor]: Taking taylor expansion of N in N 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.376 * [backup-simplify]: Simplify (- 1) into -1 1.376 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.376 * [backup-simplify]: Simplify (sqrt 0) into 0 1.377 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.377 * [backup-simplify]: Simplify (* (pow N 2/3) 0) into 0 1.378 * [backup-simplify]: Simplify (* (/ 1 (pow (cbrt -1) 2)) 0) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.379 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 1.380 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.380 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.381 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))))) into 0 1.383 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1.385 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) into (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1.385 * [taylor]: Taking taylor expansion of (log (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))))) in N 1.385 * [taylor]: Taking taylor expansion of (* (/ 1 (cbrt -1)) (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N))))) in N 1.385 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 1.385 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.385 * [taylor]: Taking taylor expansion of -1 in N 1.385 * [backup-simplify]: Simplify -1 into -1 1.385 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.386 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.386 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 1.386 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (sqrt (- 1.0 (/ 1 N)))) in N 1.386 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.386 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.386 * [taylor]: Taking taylor expansion of 1/3 in N 1.386 * [backup-simplify]: Simplify 1/3 into 1/3 1.386 * [taylor]: Taking taylor expansion of (log N) in N 1.386 * [taylor]: Taking taylor expansion of N in N 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (log 1) into 0 1.387 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.387 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.387 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.387 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.387 * [taylor]: Taking taylor expansion of 1.0 in N 1.387 * [backup-simplify]: Simplify 1.0 into 1.0 1.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.387 * [taylor]: Taking taylor expansion of N in N 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (/ 1 1) into 1 1.387 * [backup-simplify]: Simplify (- 1) into -1 1.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.388 * [backup-simplify]: Simplify (sqrt 0) into 0 1.389 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.389 * [backup-simplify]: Simplify (* (pow N 1/3) 0) into 0 1.389 * [backup-simplify]: Simplify (* (/ 1 (cbrt -1)) 0) into 0 1.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.390 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.391 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.391 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (* 0 0)) into (- (* +nan.0 (pow N 1/3))) 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 1.393 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1.394 * [backup-simplify]: Simplify (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) into (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 1.396 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))))) into (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))))) 1.398 * [backup-simplify]: Simplify (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))))) into (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))))) 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (- 0) into 0 1.399 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.401 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.403 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 1.404 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.405 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.406 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 1.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0 1.409 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (* 0 (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1)))) 1) into +nan.0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.413 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.414 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.416 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.417 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.418 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow N 1/3))) 1.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 1.420 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (+ (* 0 (- (* +nan.0 (pow N 1/3)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1)))) 1) into +nan.0 1.422 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.423 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.435 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 1.436 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 1.437 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.437 * [backup-simplify]: Simplify (+ (* (pow N 2/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (pow N 2) 1/3))) 1.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.439 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 1.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cbrt -1) 2)) (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))) (* 0 (/ 0 (pow (cbrt -1) 2))))) into 0 1.442 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (cbrt -1) 2)) (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (* 0 (- (* +nan.0 (pow (pow N 2) 1/3)))) (+ (* 0 (- (* +nan.0 (pow (pow N 2) 1/3)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 2)) (pow (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow N 2) 1/3)))) 1)))) 2) into +nan.0 1.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.448 * [backup-simplify]: Simplify (- 0) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.453 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.453 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.455 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* (pow N 1/3) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow N 1/3))) 1.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 1.458 * [backup-simplify]: Simplify (+ (* (/ 1 (cbrt -1)) (- (* +nan.0 (pow N 1/3)))) (+ (* 0 (- (* +nan.0 (pow N 1/3)))) (+ (* 0 (- (* +nan.0 (pow N 1/3)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 2)) (pow (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3))))) 1)) (pow (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow N 1/3)))) 1)))) 2) into +nan.0 1.462 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.462 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.465 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- (* +nan.0 (* (/ 1 (cbrt -1)) (pow (/ 1 (- N)) 1/3))))) (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (pow (/ 1 (- N)) 2) 1/3)))))))) into (- (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))) (log (- (* +nan.0 (* (pow (/ -1 N) 1/3) (/ 1 (cbrt -1))))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.465 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.465 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 1.465 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.465 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.465 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.465 * [taylor]: Taking taylor expansion of 1/3 in N 1.465 * [backup-simplify]: Simplify 1/3 into 1/3 1.465 * [taylor]: Taking taylor expansion of (log N) in N 1.465 * [taylor]: Taking taylor expansion of N in N 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (log 1) into 0 1.466 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.466 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.466 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.466 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.466 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.466 * [taylor]: Taking taylor expansion of 1/3 in N 1.466 * [backup-simplify]: Simplify 1/3 into 1/3 1.466 * [taylor]: Taking taylor expansion of (log N) in N 1.466 * [taylor]: Taking taylor expansion of N in N 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (log 1) into 0 1.467 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.467 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.467 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.467 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.468 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.469 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.470 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.471 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.471 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.474 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.476 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.481 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.483 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.492 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.494 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.515 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.519 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.519 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 1.519 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.520 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.520 * [taylor]: Taking taylor expansion of 1/3 in N 1.520 * [backup-simplify]: Simplify 1/3 into 1/3 1.520 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.520 * [taylor]: Taking taylor expansion of N in N 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.520 * [backup-simplify]: Simplify (/ 1 1) into 1 1.520 * [backup-simplify]: Simplify (log 1) into 0 1.520 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.520 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.521 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.521 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.521 * [taylor]: Taking taylor expansion of 1/3 in N 1.521 * [backup-simplify]: Simplify 1/3 into 1/3 1.521 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.521 * [taylor]: Taking taylor expansion of N in N 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (/ 1 1) into 1 1.521 * [backup-simplify]: Simplify (log 1) into 0 1.521 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.521 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.522 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.522 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.523 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.524 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.526 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.527 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.530 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.531 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.532 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.538 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.539 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.540 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.549 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.551 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.552 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.568 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.569 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.572 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.572 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.572 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.572 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.572 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.572 * [taylor]: Taking taylor expansion of -1 in N 1.572 * [backup-simplify]: Simplify -1 into -1 1.572 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.573 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.573 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.573 * [taylor]: Taking taylor expansion of 1/3 in N 1.573 * [backup-simplify]: Simplify 1/3 into 1/3 1.573 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.573 * [taylor]: Taking taylor expansion of N in N 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (/ 1 1) into 1 1.573 * [backup-simplify]: Simplify (log 1) into 0 1.574 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.574 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.574 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.574 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.574 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.574 * [taylor]: Taking taylor expansion of -1 in N 1.574 * [backup-simplify]: Simplify -1 into -1 1.574 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.574 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.575 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.575 * [taylor]: Taking taylor expansion of 1/3 in N 1.575 * [backup-simplify]: Simplify 1/3 into 1/3 1.575 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.575 * [taylor]: Taking taylor expansion of N in N 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (/ 1 1) into 1 1.575 * [backup-simplify]: Simplify (log 1) into 0 1.575 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.575 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.575 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.576 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.576 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.578 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.578 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.578 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.579 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.582 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.584 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.587 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.588 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.590 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.602 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.603 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.604 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.606 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.615 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.618 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.620 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.636 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.637 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.640 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.643 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 1.643 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 1.644 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 1.644 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.644 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.644 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.644 * [taylor]: Taking taylor expansion of 1/3 in N 1.644 * [backup-simplify]: Simplify 1/3 into 1/3 1.644 * [taylor]: Taking taylor expansion of (log N) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (log 1) into 0 1.644 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.644 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.644 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.644 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.644 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.644 * [taylor]: Taking taylor expansion of 1/3 in N 1.644 * [backup-simplify]: Simplify 1/3 into 1/3 1.644 * [taylor]: Taking taylor expansion of (log N) in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (log 1) into 0 1.645 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.645 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.645 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.645 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.646 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.646 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.647 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.649 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.649 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.650 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.653 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.653 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.654 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.660 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.662 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.670 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.679 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.694 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.698 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.699 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 1.699 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.699 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.699 * [taylor]: Taking taylor expansion of 1/3 in N 1.699 * [backup-simplify]: Simplify 1/3 into 1/3 1.699 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.699 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.699 * [taylor]: Taking taylor expansion of N in N 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (/ 1 1) into 1 1.699 * [backup-simplify]: Simplify (log 1) into 0 1.700 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.700 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.700 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.700 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.700 * [taylor]: Taking taylor expansion of 1/3 in N 1.700 * [backup-simplify]: Simplify 1/3 into 1/3 1.700 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.700 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.700 * [taylor]: Taking taylor expansion of N in N 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (/ 1 1) into 1 1.700 * [backup-simplify]: Simplify (log 1) into 0 1.701 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.701 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.701 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.701 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.702 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.702 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.703 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.705 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.706 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.710 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.711 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.717 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.718 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.719 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.728 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.728 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.730 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.732 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.748 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.749 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.758 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.758 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.758 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.758 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.759 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.759 * [taylor]: Taking taylor expansion of -1 in N 1.759 * [backup-simplify]: Simplify -1 into -1 1.759 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.759 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.759 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.759 * [taylor]: Taking taylor expansion of 1/3 in N 1.759 * [backup-simplify]: Simplify 1/3 into 1/3 1.759 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.760 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.760 * [taylor]: Taking taylor expansion of N in N 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify (/ 1 1) into 1 1.760 * [backup-simplify]: Simplify (log 1) into 0 1.760 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.760 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.760 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.760 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.761 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.761 * [taylor]: Taking taylor expansion of -1 in N 1.761 * [backup-simplify]: Simplify -1 into -1 1.761 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.761 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.761 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.761 * [taylor]: Taking taylor expansion of 1/3 in N 1.761 * [backup-simplify]: Simplify 1/3 into 1/3 1.761 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.761 * [taylor]: Taking taylor expansion of N in N 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (/ 1 1) into 1 1.762 * [backup-simplify]: Simplify (log 1) into 0 1.762 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.762 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.762 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.763 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.763 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.765 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.765 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.765 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.768 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.769 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.769 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.771 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.774 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.775 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.776 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.777 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.783 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.784 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.786 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.788 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.797 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.798 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.800 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.802 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.818 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.822 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.825 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 1.825 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 1.825 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 1.825 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 1.825 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.825 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.825 * [taylor]: Taking taylor expansion of 1/3 in N 1.825 * [backup-simplify]: Simplify 1/3 into 1/3 1.825 * [taylor]: Taking taylor expansion of (log N) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (log 1) into 0 1.826 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.826 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.826 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.826 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 1.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 1.826 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 1.826 * [taylor]: Taking taylor expansion of 1/3 in N 1.826 * [backup-simplify]: Simplify 1/3 into 1/3 1.826 * [taylor]: Taking taylor expansion of (log N) in N 1.826 * [taylor]: Taking taylor expansion of N in N 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (log 1) into 0 1.827 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.827 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1.827 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1.827 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.828 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.828 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 1.829 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.831 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.831 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.835 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.836 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.837 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.848 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.849 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 1.851 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.860 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.861 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 1.863 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.878 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.880 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 1.883 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 1.883 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 1.883 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 1.883 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.883 * [taylor]: Taking taylor expansion of 1/3 in N 1.883 * [backup-simplify]: Simplify 1/3 into 1/3 1.883 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.883 * [taylor]: Taking taylor expansion of N in N 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [backup-simplify]: Simplify (log 1) into 0 1.884 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.884 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.884 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.884 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.884 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.884 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.884 * [taylor]: Taking taylor expansion of 1/3 in N 1.884 * [backup-simplify]: Simplify 1/3 into 1/3 1.884 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.884 * [taylor]: Taking taylor expansion of N in N 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [backup-simplify]: Simplify (log 1) into 0 1.885 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.885 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.885 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.885 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.887 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.887 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.887 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.890 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.891 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.894 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.896 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.902 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.903 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.904 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.914 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.915 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.917 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1.939 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.940 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 1.943 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 1.943 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.943 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 1.943 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.943 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.943 * [taylor]: Taking taylor expansion of -1 in N 1.943 * [backup-simplify]: Simplify -1 into -1 1.944 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.944 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.944 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.944 * [taylor]: Taking taylor expansion of 1/3 in N 1.944 * [backup-simplify]: Simplify 1/3 into 1/3 1.944 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.944 * [taylor]: Taking taylor expansion of N in N 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [backup-simplify]: Simplify (log 1) into 0 1.945 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.945 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.945 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.945 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 1.945 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.945 * [taylor]: Taking taylor expansion of -1 in N 1.945 * [backup-simplify]: Simplify -1 into -1 1.945 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.946 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.946 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 1.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 1.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 1.946 * [taylor]: Taking taylor expansion of 1/3 in N 1.946 * [backup-simplify]: Simplify 1/3 into 1/3 1.946 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.946 * [taylor]: Taking taylor expansion of N in N 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [backup-simplify]: Simplify (log 1) into 0 1.947 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.947 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 1.947 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 1.947 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.948 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.949 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.949 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 1.950 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.953 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.954 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.955 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.958 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.959 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.960 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.962 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1.968 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.969 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 1.970 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.972 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1.981 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.982 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 1.984 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.986 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 2.008 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.010 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 2.013 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.015 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 2.016 * * * [progress]: simplifying candidates 2.018 * [simplify]: Simplifying: (* (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N))) (log (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (exp (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (cbrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (* (* (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (sqrt (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (pow (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) 3) (pow (log (/ (sqrt (+ N 1.0)) (cbrt N))) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (- (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))))) (- (* (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (* (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N))))) (- (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (* (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 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(cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt 1) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (* (cbrt N) (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt (sqrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (cbrt 1)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (* (cbrt (cbrt N)) (cbrt (cbrt N)))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 (sqrt (cbrt N))))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ 1 1))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log 1)) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (+ (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (sqrt (+ N 1.0)))) (- (log (* (cbrt N) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (log (* (pow (/ 1 N) 1/3) (sqrt 1.0))) (+ (/ N (pow (sqrt 1.0) 2)) (log (* (pow (/ 1 (pow N 2)) 1/3) (sqrt 1.0))))) (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (+ (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- (* +nan.0 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow N 2)) 1/3))))) (log (- (* +nan.0 (* (pow (/ -1 N) 1/3) (/ 1 (cbrt -1))))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 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h1) 2)) (log (* (pow (/ 1 (pow h0 2)) 1/3) (sqrt h1))))) (* 1/2 (/ (pow h0 2) (pow (sqrt h1) 4)))) (- (+ (log (- (* h2 (pow (/ 1 h0) 1/3)))) (log (- (* h2 (pow (/ 1 (pow h0 2)) 1/3))))) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (- (+ (log (- (* h2 (* (/ 1 (pow (cbrt -1) 2)) (pow (/ 1 (pow h0 2)) 1/3))))) (log (- (* h2 (* (pow (/ -1 h0) 1/3) (/ 1 (cbrt -1))))))) (+ (* h2 (/ 1 (pow h0 2))) (- (* h2 (/ 1 h0))))) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 2.025 * * [simplify]: iteration 0 : 507 enodes (cost 1315 ) 2.032 * * [simplify]: iteration 1 : 1618 enodes (cost 1245 ) 2.056 * * [simplify]: iteration 2 : 5001 enodes (cost 1128 ) 2.061 * * * [progress]: adding candidates to table 2.392 * [progress]: [Phase 3 of 3] Extracting. 2.393 * * [regime]: Finding splitpoints for: (# # # # #) 2.394 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 2.394 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # # # #) 2.425 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.450 * * * [regime]: Found split indices: #