24.775 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.063 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.063 * * [simplify]: Extracting # 0 : cost 0 0.063 * * [simplify]: Extracting # 1 : cost 0 0.063 * * [simplify]: Extracting # 2 : cost 0 0.063 * * [simplify]: Extracting # 3 : cost 0 0.063 * * [simplify]: Extracting # 4 : cost 0 0.063 * * [simplify]: Extracting # 5 : cost 0 0.063 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.065 * * [simplify]: Extracting # 1 : cost 0 0.065 * * [simplify]: Extracting # 2 : cost 0 0.065 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.067 * * [simplify]: Extracting # 0 : cost 0 0.067 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.070 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.074 * * * * [pick]: Picked # 0.074 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.102 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.105 * * * [progress]: generating series expansions 0.105 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.105 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.105 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.105 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.107 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.107 * [taylor]: Taking taylor expansion of (atan N) in N 0.107 * [backup-simplify]: Simplify (atan N) into (atan N) 0.107 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.107 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.107 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.107 * [taylor]: Taking taylor expansion of (atan N) in N 0.107 * [backup-simplify]: Simplify (atan N) into (atan N) 0.107 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.107 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.108 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.114 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.114 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.115 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.115 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.115 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.115 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.115 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.115 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.115 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.115 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.115 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.115 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.115 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.116 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.116 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.122 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.122 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.122 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.122 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.122 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.122 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.122 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.122 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.122 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.122 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.122 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.123 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.123 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.123 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.144 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.144 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.144 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.144 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.144 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.145 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.145 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.145 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.145 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.145 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.145 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.145 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.145 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.146 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.146 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.146 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.146 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.146 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.146 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.147 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.147 * * * [progress]: simplifying candidates 0.148 * [simplify]: Simplifying: (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.149 * * [simplify]: Extracting # 0 : cost 0 0.149 * * [simplify]: Extracting # 1 : cost 0 0.149 * * [simplify]: Extracting # 2 : cost 0 0.149 * * [simplify]: Extracting # 3 : cost 0 0.149 * * [simplify]: Extracting # 4 : cost 0 0.149 * * [simplify]: Extracting # 5 : cost 0 0.150 * * [simplify]: Extracting # 6 : cost 0 0.150 * * [simplify]: iteration 0 : 40 enodes (cost 271 ) 0.160 * * [simplify]: Extracting # 0 : cost 0 0.160 * * [simplify]: Extracting # 1 : cost 0 0.160 * * [simplify]: Extracting # 2 : cost 0 0.160 * * [simplify]: Extracting # 3 : cost 0 0.161 * * [simplify]: Extracting # 4 : cost 0 0.161 * * [simplify]: iteration 1 : 76 enodes (cost 259 ) 0.174 * * [simplify]: Extracting # 0 : cost 0 0.175 * * [simplify]: Extracting # 1 : cost 0 0.175 * * [simplify]: Extracting # 2 : cost 0 0.175 * * [simplify]: Extracting # 3 : cost 0 0.175 * * [simplify]: iteration 2 : 151 enodes (cost 245 ) 0.228 * * [simplify]: Extracting # 0 : cost 0 0.228 * * [simplify]: Extracting # 1 : cost 0 0.229 * * [simplify]: Extracting # 2 : cost 0 0.229 * * [simplify]: Extracting # 3 : cost 0 0.229 * * [simplify]: Extracting # 4 : cost 0 0.230 * * [simplify]: iteration 3 : 326 enodes (cost 241 ) 0.342 * * [simplify]: Extracting # 0 : cost 0 0.343 * * [simplify]: Extracting # 1 : cost 0 0.343 * * [simplify]: Extracting # 2 : cost 0 0.344 * * [simplify]: Extracting # 3 : cost 0 0.345 * * [simplify]: Extracting # 4 : cost 0 0.346 * * [simplify]: iteration 4 : 966 enodes (cost 239 ) 0.910 * * [simplify]: Extracting # 0 : cost 0 0.913 * * [simplify]: Extracting # 1 : cost 0 0.916 * * [simplify]: Extracting # 2 : cost 0 0.918 * * [simplify]: Extracting # 3 : cost 0 0.920 * * [simplify]: Extracting # 4 : cost 0 0.922 * * [simplify]: iteration 5 : 3321 enodes (cost 239 ) 2.175 * * [simplify]: Extracting # 0 : cost 0 2.179 * * [simplify]: Extracting # 1 : cost 0 2.184 * * [simplify]: Extracting # 2 : cost 0 2.188 * * [simplify]: Extracting # 3 : cost 0 2.196 * * [simplify]: Extracting # 4 : cost 0 2.208 * * [simplify]: Extracting # 5 : cost 0 2.216 * * [simplify]: iteration done: 5001 enodes (cost 239 ) 2.217 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 2.217 * * * [progress]: adding candidates to table 2.292 * * [progress]: iteration 2 / 4 2.292 * * * [progress]: picking best candidate 2.296 * * * * [pick]: Picked # 2.296 * * * [progress]: localizing error 2.304 * * * [progress]: generating rewritten candidates 2.304 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.304 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.336 * * * [progress]: generating series expansions 2.336 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.337 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.337 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.337 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.337 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.337 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.337 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.337 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.338 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.338 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.338 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.338 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.338 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.338 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.338 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.339 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.339 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.339 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.339 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.339 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.340 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.340 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.340 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.340 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.340 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.340 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.341 * [taylor]: Taking taylor expansion of N in N 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.341 * [taylor]: Taking taylor expansion of N in N 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [taylor]: Taking taylor expansion of 1.0 in N 2.341 * [backup-simplify]: Simplify 1.0 into 1.0 2.341 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.341 * [taylor]: Taking taylor expansion of N in N 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.341 * [taylor]: Taking taylor expansion of N in N 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [taylor]: Taking taylor expansion of 1.0 in N 2.341 * [backup-simplify]: Simplify 1.0 into 1.0 2.341 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.342 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (+ 1 0) into 1 2.343 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.343 * [backup-simplify]: Simplify 1.0 into 1.0 2.343 * [backup-simplify]: Simplify (+ 0 0) into 0 2.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.344 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify (+ 0 0) into 0 2.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 2.351 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.351 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.351 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.351 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.352 * [taylor]: Taking taylor expansion of N in N 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (/ 1 1) into 1 2.352 * [taylor]: Taking taylor expansion of 1.0 in N 2.352 * [backup-simplify]: Simplify 1.0 into 1.0 2.352 * [taylor]: Taking taylor expansion of N in N 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (+ 1 0) into 1 2.352 * [backup-simplify]: Simplify (/ 1 1) into 1 2.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.352 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.353 * [taylor]: Taking taylor expansion of N in N 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 1 into 1 2.353 * [backup-simplify]: Simplify (/ 1 1) into 1 2.353 * [taylor]: Taking taylor expansion of 1.0 in N 2.353 * [backup-simplify]: Simplify 1.0 into 1.0 2.353 * [taylor]: Taking taylor expansion of N in N 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 1 into 1 2.353 * [backup-simplify]: Simplify (+ 1 0) into 1 2.353 * [backup-simplify]: Simplify (/ 1 1) into 1 2.353 * [backup-simplify]: Simplify 1 into 1 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.355 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.355 * [backup-simplify]: Simplify 1.0 into 1.0 2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ 0 0) into 0 2.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.366 * [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 2.366 * [backup-simplify]: Simplify (+ 0 0) into 0 2.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 2.368 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.368 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.368 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.368 * [taylor]: Taking taylor expansion of -1 in N 2.368 * [backup-simplify]: Simplify -1 into -1 2.368 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.368 * [taylor]: Taking taylor expansion of 1.0 in N 2.368 * [backup-simplify]: Simplify 1.0 into 1.0 2.368 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.368 * [taylor]: Taking taylor expansion of N in N 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [taylor]: Taking taylor expansion of N in N 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (- 1) into -1 2.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.370 * [backup-simplify]: Simplify (/ -1 1) into -1 2.370 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.370 * [taylor]: Taking taylor expansion of -1 in N 2.370 * [backup-simplify]: Simplify -1 into -1 2.370 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.370 * [taylor]: Taking taylor expansion of 1.0 in N 2.370 * [backup-simplify]: Simplify 1.0 into 1.0 2.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.370 * [taylor]: Taking taylor expansion of N in N 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 1 into 1 2.371 * [backup-simplify]: Simplify (/ 1 1) into 1 2.371 * [taylor]: Taking taylor expansion of N in N 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [backup-simplify]: Simplify (- 1) into -1 2.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.372 * [backup-simplify]: Simplify (/ -1 1) into -1 2.373 * [backup-simplify]: Simplify (* -1 -1) into 1 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.374 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.376 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.382 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.383 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (- 0) into 0 2.384 * [backup-simplify]: Simplify (+ 0 0) into 0 2.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (- 0) into 0 2.386 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (- 0) into 0 2.388 * [backup-simplify]: Simplify (+ 0 0) into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.390 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (- 0) into 0 2.391 * [backup-simplify]: Simplify (+ 0 0) into 0 2.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify (+ 0 0) into 0 2.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.396 * [backup-simplify]: Simplify (- 0) into 0 2.396 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 2.399 * * * [progress]: simplifying candidates 2.399 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 2.400 * * [simplify]: Extracting # 0 : cost 0 2.400 * * [simplify]: Extracting # 1 : cost 0 2.400 * * [simplify]: Extracting # 2 : cost 0 2.400 * * [simplify]: Extracting # 3 : cost 0 2.400 * * [simplify]: Extracting # 4 : cost 0 2.400 * * [simplify]: Extracting # 5 : cost 0 2.400 * * [simplify]: Extracting # 6 : cost 0 2.400 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 2.419 * * [simplify]: Extracting # 0 : cost 0 2.419 * * [simplify]: Extracting # 1 : cost 0 2.420 * * [simplify]: Extracting # 2 : cost 0 2.420 * * [simplify]: Extracting # 3 : cost 0 2.420 * * [simplify]: Extracting # 4 : cost 0 2.420 * * [simplify]: iteration 1 : 127 enodes (cost 312 ) 2.489 * * [simplify]: Extracting # 0 : cost 0 2.490 * * [simplify]: Extracting # 1 : cost 0 2.491 * * [simplify]: Extracting # 2 : cost 0 2.491 * * [simplify]: Extracting # 3 : cost 0 2.492 * * [simplify]: Extracting # 4 : cost 0 2.493 * * [simplify]: iteration 2 : 694 enodes (cost 264 ) 2.776 * * [simplify]: Extracting # 0 : cost 0 2.787 * * [simplify]: Extracting # 1 : cost 0 2.811 * * [simplify]: Extracting # 2 : cost 0 2.822 * * [simplify]: Extracting # 3 : cost 0 2.830 * * [simplify]: Extracting # 4 : cost 0 2.838 * * [simplify]: iteration done: 5000 enodes (cost 264 ) 2.839 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ 1.0 N) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (+ 1.0 N) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ 1.0 N) N) (* (+ 1.0 N) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (* N (+ N 1.0)) (* N (+ N 1.0)) (* N (+ N 1.0)) 2.839 * * * [progress]: adding candidates to table 2.919 * * [progress]: iteration 3 / 4 2.919 * * * [progress]: picking best candidate 2.932 * * * * [pick]: Picked # 2.932 * * * [progress]: localizing error 2.945 * * * [progress]: generating rewritten candidates 2.945 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.945 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 2.946 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2) 2.947 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 1) 2.948 * * * [progress]: generating series expansions 2.948 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.949 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N)))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.949 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.949 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.949 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.949 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.949 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.949 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.950 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.950 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.950 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.950 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.950 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.950 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.951 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.952 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))))) into (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) 2.952 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 2.952 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 2.953 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.953 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 2.955 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.955 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.956 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 2.956 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 2.956 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.956 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.956 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.956 * [taylor]: Taking taylor expansion of 1/3 in N 2.956 * [backup-simplify]: Simplify 1/3 into 1/3 2.956 * [taylor]: Taking taylor expansion of (log N) in N 2.956 * [taylor]: Taking taylor expansion of N in N 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (log 1) into 0 2.956 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.956 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.956 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.956 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.957 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.957 * [taylor]: Taking taylor expansion of 1/3 in N 2.957 * [backup-simplify]: Simplify 1/3 into 1/3 2.957 * [taylor]: Taking taylor expansion of (log N) in N 2.957 * [taylor]: Taking taylor expansion of N in N 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (log 1) into 0 2.957 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.957 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.957 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.957 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.958 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.959 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.961 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.962 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.962 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.965 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.966 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.967 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 2.978 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 2.983 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 3.002 * [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 3.002 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.004 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.006 * [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 3.006 * [backup-simplify]: Simplify 0 into 0 3.024 * [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 3.025 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.039 * [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 3.039 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.040 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.040 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.040 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.040 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.040 * [taylor]: Taking taylor expansion of 1/3 in N 3.040 * [backup-simplify]: Simplify 1/3 into 1/3 3.040 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.040 * [taylor]: Taking taylor expansion of N in N 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [backup-simplify]: Simplify (log 1) into 0 3.042 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.042 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.042 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.042 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.042 * [taylor]: Taking taylor expansion of 1/3 in N 3.042 * [backup-simplify]: Simplify 1/3 into 1/3 3.042 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.042 * [taylor]: Taking taylor expansion of N in N 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (/ 1 1) into 1 3.043 * [backup-simplify]: Simplify (log 1) into 0 3.043 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.043 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.044 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.044 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.045 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.046 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.046 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.046 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.049 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.049 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.050 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.050 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.054 * [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 3.054 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.055 * [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 3.055 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [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 3.062 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.063 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.065 * [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 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.075 * [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 3.076 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.082 * [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 3.082 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.103 * [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 3.103 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.104 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.108 * [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 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.108 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.108 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 3.108 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.108 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.108 * [taylor]: Taking taylor expansion of -1 in N 3.108 * [backup-simplify]: Simplify -1 into -1 3.109 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.109 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.109 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.109 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.109 * [taylor]: Taking taylor expansion of 1/3 in N 3.109 * [backup-simplify]: Simplify 1/3 into 1/3 3.109 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.109 * [taylor]: Taking taylor expansion of N in N 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (/ 1 1) into 1 3.110 * [backup-simplify]: Simplify (log 1) into 0 3.110 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.110 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.110 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.110 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.110 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.110 * [taylor]: Taking taylor expansion of -1 in N 3.110 * [backup-simplify]: Simplify -1 into -1 3.111 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.111 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.111 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.111 * [taylor]: Taking taylor expansion of 1/3 in N 3.111 * [backup-simplify]: Simplify 1/3 into 1/3 3.111 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.111 * [taylor]: Taking taylor expansion of N in N 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (/ 1 1) into 1 3.112 * [backup-simplify]: Simplify (log 1) into 0 3.112 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.112 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.112 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.113 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.113 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.115 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.115 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.116 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.116 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.119 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.120 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.122 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.125 * [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 3.126 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.128 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.129 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.147 * [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 3.148 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.149 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.151 * [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 3.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.153 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.165 * [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 3.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.167 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.169 * [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 3.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.171 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.190 * [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 3.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.195 * [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 3.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.198 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 3.198 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 3.199 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2) 3.199 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.199 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.199 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.199 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.199 * [taylor]: Taking taylor expansion of 1/3 in N 3.199 * [backup-simplify]: Simplify 1/3 into 1/3 3.199 * [taylor]: Taking taylor expansion of (log N) in N 3.199 * [taylor]: Taking taylor expansion of N in N 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.199 * [backup-simplify]: Simplify (log 1) into 0 3.200 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.200 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.200 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.200 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.200 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.200 * [taylor]: Taking taylor expansion of 1/3 in N 3.200 * [backup-simplify]: Simplify 1/3 into 1/3 3.200 * [taylor]: Taking taylor expansion of (log N) in N 3.200 * [taylor]: Taking taylor expansion of N in N 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (log 1) into 0 3.200 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.200 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.200 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.201 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.202 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.202 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.202 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.203 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.204 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.205 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.206 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.206 * [backup-simplify]: Simplify 0 into 0 3.209 * [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 3.209 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.211 * [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 3.211 * [backup-simplify]: Simplify 0 into 0 3.217 * [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 3.218 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.219 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.220 * [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 3.220 * [backup-simplify]: Simplify 0 into 0 3.230 * [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 3.231 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.232 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.235 * [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 3.235 * [backup-simplify]: Simplify 0 into 0 3.259 * [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 3.259 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.261 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.264 * [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 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.264 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.264 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.264 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.264 * [taylor]: Taking taylor expansion of 1/3 in N 3.264 * [backup-simplify]: Simplify 1/3 into 1/3 3.264 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.264 * [taylor]: Taking taylor expansion of N in N 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [backup-simplify]: Simplify (log 1) into 0 3.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.265 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.265 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.266 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.266 * [taylor]: Taking taylor expansion of 1/3 in N 3.266 * [backup-simplify]: Simplify 1/3 into 1/3 3.266 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.266 * [taylor]: Taking taylor expansion of N in N 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [backup-simplify]: Simplify (/ 1 1) into 1 3.266 * [backup-simplify]: Simplify (log 1) into 0 3.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.266 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.267 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.267 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.268 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.269 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.270 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.270 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.274 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.277 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.283 * [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 3.284 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.285 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.286 * [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 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [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 3.293 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.294 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.295 * [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 3.295 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.306 * [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 3.307 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.308 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.310 * [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 3.310 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.329 * [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 3.330 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.339 * [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 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.340 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.340 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 3.340 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.340 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.340 * [taylor]: Taking taylor expansion of -1 in N 3.340 * [backup-simplify]: Simplify -1 into -1 3.340 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.341 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.341 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.341 * [taylor]: Taking taylor expansion of 1/3 in N 3.341 * [backup-simplify]: Simplify 1/3 into 1/3 3.341 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.341 * [taylor]: Taking taylor expansion of N in N 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (/ 1 1) into 1 3.342 * [backup-simplify]: Simplify (log 1) into 0 3.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.343 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.343 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.343 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.343 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.343 * [taylor]: Taking taylor expansion of -1 in N 3.343 * [backup-simplify]: Simplify -1 into -1 3.352 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.353 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.353 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.353 * [taylor]: Taking taylor expansion of 1/3 in N 3.353 * [backup-simplify]: Simplify 1/3 into 1/3 3.353 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.353 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.353 * [taylor]: Taking taylor expansion of N in N 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.353 * [backup-simplify]: Simplify (log 1) into 0 3.354 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.354 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.354 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.354 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.355 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.356 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.357 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.357 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.360 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.361 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.362 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.363 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.367 * [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 3.368 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.368 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.369 * [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 3.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.371 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [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 3.379 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.382 * [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 3.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.384 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.395 * [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 3.396 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.397 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.400 * [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 3.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.403 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.435 * [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 3.436 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.441 * [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 3.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.443 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 3.444 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 1) 3.444 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.444 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.444 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.444 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.444 * [taylor]: Taking taylor expansion of 1/3 in N 3.444 * [backup-simplify]: Simplify 1/3 into 1/3 3.444 * [taylor]: Taking taylor expansion of (log N) in N 3.444 * [taylor]: Taking taylor expansion of N in N 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (log 1) into 0 3.445 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.445 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.445 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.445 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.445 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.445 * [taylor]: Taking taylor expansion of 1/3 in N 3.445 * [backup-simplify]: Simplify 1/3 into 1/3 3.445 * [taylor]: Taking taylor expansion of (log N) in N 3.445 * [taylor]: Taking taylor expansion of N in N 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (log 1) into 0 3.446 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.446 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.446 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.446 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.447 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.447 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.448 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.448 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.450 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.450 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.454 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.456 * [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 3.456 * [backup-simplify]: Simplify 0 into 0 3.476 * [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 3.477 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.479 * [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 3.479 * [backup-simplify]: Simplify 0 into 0 3.489 * [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 3.489 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.493 * [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 3.493 * [backup-simplify]: Simplify 0 into 0 3.511 * [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 3.511 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.516 * [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 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.516 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.516 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.516 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.516 * [taylor]: Taking taylor expansion of 1/3 in N 3.516 * [backup-simplify]: Simplify 1/3 into 1/3 3.516 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.517 * [taylor]: Taking taylor expansion of N in N 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.517 * [backup-simplify]: Simplify (/ 1 1) into 1 3.517 * [backup-simplify]: Simplify (log 1) into 0 3.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.517 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.517 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.518 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.518 * [taylor]: Taking taylor expansion of 1/3 in N 3.518 * [backup-simplify]: Simplify 1/3 into 1/3 3.518 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.518 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.518 * [taylor]: Taking taylor expansion of N in N 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (/ 1 1) into 1 3.518 * [backup-simplify]: Simplify (log 1) into 0 3.518 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.518 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.519 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.519 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.520 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.520 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.521 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.524 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.524 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.525 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.528 * [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 3.529 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.530 * [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 3.530 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.537 * [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 3.537 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.540 * [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 3.540 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.554 * [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 3.554 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.557 * [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 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.582 * [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 3.583 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.592 * [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 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.592 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.592 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 3.592 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.592 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.592 * [taylor]: Taking taylor expansion of -1 in N 3.592 * [backup-simplify]: Simplify -1 into -1 3.593 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.594 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.594 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.594 * [taylor]: Taking taylor expansion of 1/3 in N 3.594 * [backup-simplify]: Simplify 1/3 into 1/3 3.594 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.594 * [taylor]: Taking taylor expansion of N in N 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify (/ 1 1) into 1 3.595 * [backup-simplify]: Simplify (log 1) into 0 3.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.595 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.596 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.596 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.596 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.596 * [taylor]: Taking taylor expansion of -1 in N 3.596 * [backup-simplify]: Simplify -1 into -1 3.596 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.597 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.597 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.597 * [taylor]: Taking taylor expansion of 1/3 in N 3.597 * [backup-simplify]: Simplify 1/3 into 1/3 3.597 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.597 * [taylor]: Taking taylor expansion of N in N 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.598 * [backup-simplify]: Simplify (/ 1 1) into 1 3.598 * [backup-simplify]: Simplify (log 1) into 0 3.599 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.599 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.599 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.599 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.600 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.602 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.602 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.603 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 3.603 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.605 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.607 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.608 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 3.608 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.612 * [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 3.612 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.614 * [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 3.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.615 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 3.615 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.623 * [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 3.623 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.626 * [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 3.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.628 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 3.628 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.644 * [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 3.645 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.651 * [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 3.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.655 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 3.655 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.685 * [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 3.686 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.687 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.691 * [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 3.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.693 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 3.693 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 3.694 * * * [progress]: simplifying candidates 3.695 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N))))) (* (* (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (* (cbrt N) (cbrt N)) (+ 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)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 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)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 3.695 * * [simplify]: Extracting # 0 : cost 0 3.695 * * [simplify]: Extracting # 1 : cost 0 3.696 * * [simplify]: Extracting # 2 : cost 0 3.696 * * [simplify]: Extracting # 3 : cost 0 3.696 * * [simplify]: Extracting # 4 : cost 0 3.696 * * [simplify]: Extracting # 5 : cost 0 3.696 * * [simplify]: Extracting # 6 : cost 0 3.696 * * [simplify]: Extracting # 7 : cost 0 3.696 * * [simplify]: Extracting # 8 : cost 0 3.696 * * [simplify]: iteration 0 : 43 enodes (cost 398 ) 3.704 * * [simplify]: Extracting # 0 : cost 0 3.705 * * [simplify]: Extracting # 1 : cost 0 3.705 * * [simplify]: Extracting # 2 : cost 0 3.705 * * [simplify]: Extracting # 3 : cost 0 3.705 * * [simplify]: Extracting # 4 : cost 0 3.705 * * [simplify]: iteration 1 : 87 enodes (cost 386 ) 3.728 * * [simplify]: Extracting # 0 : cost 0 3.729 * * [simplify]: Extracting # 1 : cost 0 3.729 * * [simplify]: Extracting # 2 : cost 0 3.730 * * [simplify]: Extracting # 3 : cost 0 3.730 * * [simplify]: Extracting # 4 : cost 0 3.731 * * [simplify]: Extracting # 5 : cost 0 3.731 * * [simplify]: iteration 2 : 265 enodes (cost 298 ) 3.909 * * [simplify]: Extracting # 0 : cost 0 3.910 * * [simplify]: Extracting # 1 : cost 0 3.911 * * [simplify]: Extracting # 2 : cost 0 3.912 * * [simplify]: Extracting # 3 : cost 0 3.914 * * [simplify]: Extracting # 4 : cost 0 3.916 * * [simplify]: iteration 3 : 1228 enodes (cost 265 ) 4.495 * * [simplify]: Extracting # 0 : cost 0 4.501 * * [simplify]: Extracting # 1 : cost 0 4.507 * * [simplify]: Extracting # 2 : cost 0 4.516 * * [simplify]: Extracting # 3 : cost 0 4.523 * * [simplify]: Extracting # 4 : cost 0 4.529 * * [simplify]: iteration done: 5000 enodes (cost 265 ) 4.529 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (pow (atan2 1.0 (+ 1 (* N (+ N 1.0)))) 3) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) 4.529 * * * [progress]: adding candidates to table 4.676 * * [progress]: iteration 4 / 4 4.676 * * * [progress]: picking best candidate 4.690 * * * * [pick]: Picked # 4.690 * * * [progress]: localizing error 4.718 * * * [progress]: generating rewritten candidates 4.718 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 4.737 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 4.745 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.746 * * * [progress]: generating series expansions 4.746 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.746 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.746 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.746 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.746 * [taylor]: Taking taylor expansion of 1/3 in N 4.746 * [backup-simplify]: Simplify 1/3 into 1/3 4.746 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.746 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.746 * [taylor]: Taking taylor expansion of N in N 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 1 into 1 4.746 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.746 * [taylor]: Taking taylor expansion of N in N 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 1 into 1 4.746 * [taylor]: Taking taylor expansion of 1.0 in N 4.746 * [backup-simplify]: Simplify 1.0 into 1.0 4.747 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.747 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.747 * [backup-simplify]: Simplify (+ 1 0) into 1 4.749 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.749 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.749 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.750 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.750 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.750 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.750 * [taylor]: Taking taylor expansion of 1/3 in N 4.750 * [backup-simplify]: Simplify 1/3 into 1/3 4.750 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.750 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.750 * [taylor]: Taking taylor expansion of N in N 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.750 * [taylor]: Taking taylor expansion of N in N 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [taylor]: Taking taylor expansion of 1.0 in N 4.750 * [backup-simplify]: Simplify 1.0 into 1.0 4.751 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.751 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.751 * [backup-simplify]: Simplify (+ 1 0) into 1 4.752 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.752 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.753 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.753 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.753 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.754 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.754 * [backup-simplify]: Simplify (+ 0 0) into 0 4.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.758 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.759 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.760 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.760 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.761 * [backup-simplify]: Simplify (+ 0 0) into 0 4.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.767 * [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)) 4.768 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.770 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.781 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.783 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.786 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.786 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.786 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.786 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.787 * [taylor]: Taking taylor expansion of 1/3 in N 4.787 * [backup-simplify]: Simplify 1/3 into 1/3 4.787 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.787 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.787 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.787 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.787 * [taylor]: Taking taylor expansion of N in N 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [backup-simplify]: Simplify (/ 1 1) into 1 4.787 * [taylor]: Taking taylor expansion of 1.0 in N 4.787 * [backup-simplify]: Simplify 1.0 into 1.0 4.787 * [taylor]: Taking taylor expansion of N in N 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [backup-simplify]: Simplify (+ 1 0) into 1 4.788 * [backup-simplify]: Simplify (/ 1 1) into 1 4.788 * [backup-simplify]: Simplify (log 1) into 0 4.788 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.788 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.788 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.788 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.788 * [taylor]: Taking taylor expansion of 1/3 in N 4.788 * [backup-simplify]: Simplify 1/3 into 1/3 4.788 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.788 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.788 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.789 * [taylor]: Taking taylor expansion of N in N 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.789 * [backup-simplify]: Simplify (/ 1 1) into 1 4.789 * [taylor]: Taking taylor expansion of 1.0 in N 4.789 * [backup-simplify]: Simplify 1.0 into 1.0 4.789 * [taylor]: Taking taylor expansion of N in N 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.789 * [backup-simplify]: Simplify (+ 1 0) into 1 4.789 * [backup-simplify]: Simplify (/ 1 1) into 1 4.790 * [backup-simplify]: Simplify (log 1) into 0 4.790 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.790 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.790 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.790 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.791 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.792 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.797 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.797 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.798 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.799 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.800 * [backup-simplify]: Simplify (+ 0 0) into 0 4.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.807 * [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 4.807 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.808 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.811 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.812 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.812 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.813 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.813 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.813 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.813 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.813 * [taylor]: Taking taylor expansion of -1 in N 4.813 * [backup-simplify]: Simplify -1 into -1 4.815 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.815 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.815 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.815 * [taylor]: Taking taylor expansion of 1/3 in N 4.815 * [backup-simplify]: Simplify 1/3 into 1/3 4.815 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.815 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.815 * [taylor]: Taking taylor expansion of 1.0 in N 4.815 * [backup-simplify]: Simplify 1.0 into 1.0 4.815 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.815 * [taylor]: Taking taylor expansion of N in N 4.815 * [backup-simplify]: Simplify 0 into 0 4.816 * [backup-simplify]: Simplify 1 into 1 4.816 * [backup-simplify]: Simplify (/ 1 1) into 1 4.816 * [taylor]: Taking taylor expansion of N in N 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [backup-simplify]: Simplify 1 into 1 4.816 * [backup-simplify]: Simplify (- 1) into -1 4.816 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.817 * [backup-simplify]: Simplify (/ -1 1) into -1 4.817 * [backup-simplify]: Simplify (log -1) into (log -1) 4.818 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.818 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.818 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.818 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.818 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.818 * [taylor]: Taking taylor expansion of -1 in N 4.819 * [backup-simplify]: Simplify -1 into -1 4.819 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.819 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.819 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.819 * [taylor]: Taking taylor expansion of 1/3 in N 4.819 * [backup-simplify]: Simplify 1/3 into 1/3 4.819 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.820 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.820 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.820 * [taylor]: Taking taylor expansion of 1.0 in N 4.820 * [backup-simplify]: Simplify 1.0 into 1.0 4.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.820 * [taylor]: Taking taylor expansion of N in N 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 1 into 1 4.820 * [backup-simplify]: Simplify (/ 1 1) into 1 4.820 * [taylor]: Taking taylor expansion of N in N 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 1 into 1 4.820 * [backup-simplify]: Simplify (- 1) into -1 4.820 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.821 * [backup-simplify]: Simplify (/ -1 1) into -1 4.821 * [backup-simplify]: Simplify (log -1) into (log -1) 4.822 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.826 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.827 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.828 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.828 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.829 * [backup-simplify]: Simplify (- 0) into 0 4.830 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.831 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.835 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.836 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.838 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.839 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.840 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (- 0) into 0 4.841 * [backup-simplify]: Simplify (+ 0 0) into 0 4.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.848 * [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 4.848 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.849 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.853 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.855 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.856 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.858 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.858 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 4.858 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.858 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.858 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.858 * [taylor]: Taking taylor expansion of 1/3 in N 4.858 * [backup-simplify]: Simplify 1/3 into 1/3 4.859 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.859 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.859 * [taylor]: Taking taylor expansion of N in N 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.859 * [taylor]: Taking taylor expansion of N in N 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of 1.0 in N 4.859 * [backup-simplify]: Simplify 1.0 into 1.0 4.859 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.859 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.860 * [backup-simplify]: Simplify (+ 1 0) into 1 4.861 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.861 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.861 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.862 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.862 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.862 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.862 * [taylor]: Taking taylor expansion of 1/3 in N 4.862 * [backup-simplify]: Simplify 1/3 into 1/3 4.862 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.862 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.862 * [taylor]: Taking taylor expansion of N in N 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.862 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.862 * [taylor]: Taking taylor expansion of N in N 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.862 * [taylor]: Taking taylor expansion of 1.0 in N 4.862 * [backup-simplify]: Simplify 1.0 into 1.0 4.863 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.863 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.863 * [backup-simplify]: Simplify (+ 1 0) into 1 4.864 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.864 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.865 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.865 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.865 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.866 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.866 * [backup-simplify]: Simplify (+ 0 0) into 0 4.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.870 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.871 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.872 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.873 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.879 * [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)) 4.880 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.882 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.890 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.892 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.894 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.895 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.895 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.895 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.895 * [taylor]: Taking taylor expansion of 1/3 in N 4.895 * [backup-simplify]: Simplify 1/3 into 1/3 4.895 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.895 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.895 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.895 * [taylor]: Taking taylor expansion of N in N 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (/ 1 1) into 1 4.895 * [taylor]: Taking taylor expansion of 1.0 in N 4.895 * [backup-simplify]: Simplify 1.0 into 1.0 4.895 * [taylor]: Taking taylor expansion of N in N 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (+ 1 0) into 1 4.896 * [backup-simplify]: Simplify (/ 1 1) into 1 4.896 * [backup-simplify]: Simplify (log 1) into 0 4.896 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.896 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.896 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.896 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.896 * [taylor]: Taking taylor expansion of 1/3 in N 4.896 * [backup-simplify]: Simplify 1/3 into 1/3 4.897 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.897 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.897 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.897 * [taylor]: Taking taylor expansion of N in N 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.897 * [taylor]: Taking taylor expansion of 1.0 in N 4.897 * [backup-simplify]: Simplify 1.0 into 1.0 4.897 * [taylor]: Taking taylor expansion of N in N 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (+ 1 0) into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [backup-simplify]: Simplify (log 1) into 0 4.898 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.898 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.898 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.898 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.900 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.904 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.904 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.906 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.906 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (+ 0 0) into 0 4.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.922 * [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 4.923 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.924 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.927 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.928 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.928 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.928 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.928 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.928 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.928 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.928 * [taylor]: Taking taylor expansion of -1 in N 4.928 * [backup-simplify]: Simplify -1 into -1 4.929 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.929 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.929 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.929 * [taylor]: Taking taylor expansion of 1/3 in N 4.929 * [backup-simplify]: Simplify 1/3 into 1/3 4.929 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.929 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.929 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.929 * [taylor]: Taking taylor expansion of 1.0 in N 4.929 * [backup-simplify]: Simplify 1.0 into 1.0 4.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.929 * [taylor]: Taking taylor expansion of N in N 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [taylor]: Taking taylor expansion of N in N 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (- 1) into -1 4.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.931 * [backup-simplify]: Simplify (/ -1 1) into -1 4.931 * [backup-simplify]: Simplify (log -1) into (log -1) 4.931 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.932 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.932 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.932 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.932 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.932 * [taylor]: Taking taylor expansion of -1 in N 4.932 * [backup-simplify]: Simplify -1 into -1 4.932 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.933 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.933 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.933 * [taylor]: Taking taylor expansion of 1/3 in N 4.933 * [backup-simplify]: Simplify 1/3 into 1/3 4.933 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.933 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.933 * [taylor]: Taking taylor expansion of 1.0 in N 4.933 * [backup-simplify]: Simplify 1.0 into 1.0 4.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.933 * [taylor]: Taking taylor expansion of N in N 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (/ 1 1) into 1 4.933 * [taylor]: Taking taylor expansion of N in N 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.934 * [backup-simplify]: Simplify (- 1) into -1 4.934 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.934 * [backup-simplify]: Simplify (/ -1 1) into -1 4.934 * [backup-simplify]: Simplify (log -1) into (log -1) 4.935 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.935 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.935 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.936 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.937 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.937 * [backup-simplify]: Simplify (- 0) into 0 4.938 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.939 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.943 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.944 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.946 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.947 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.948 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.949 * [backup-simplify]: Simplify (- 0) into 0 4.949 * [backup-simplify]: Simplify (+ 0 0) into 0 4.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.957 * [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 4.958 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.959 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.966 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.969 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.970 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.972 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.973 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 4.973 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.973 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.973 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.973 * [taylor]: Taking taylor expansion of 1/3 in N 4.973 * [backup-simplify]: Simplify 1/3 into 1/3 4.973 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.973 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.973 * [taylor]: Taking taylor expansion of N in N 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 1 into 1 4.973 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.973 * [taylor]: Taking taylor expansion of N in N 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 1 into 1 4.973 * [taylor]: Taking taylor expansion of 1.0 in N 4.973 * [backup-simplify]: Simplify 1.0 into 1.0 4.973 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.974 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.974 * [backup-simplify]: Simplify (+ 1 0) into 1 4.975 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.975 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.975 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.976 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.976 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.976 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.976 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.976 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.976 * [taylor]: Taking taylor expansion of 1/3 in N 4.976 * [backup-simplify]: Simplify 1/3 into 1/3 4.976 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.976 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.976 * [taylor]: Taking taylor expansion of N in N 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.976 * [taylor]: Taking taylor expansion of N in N 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [taylor]: Taking taylor expansion of 1.0 in N 4.976 * [backup-simplify]: Simplify 1.0 into 1.0 4.977 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.977 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.977 * [backup-simplify]: Simplify (+ 1 0) into 1 4.978 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.978 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.979 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.979 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.979 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.980 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.980 * [backup-simplify]: Simplify (+ 0 0) into 0 4.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.984 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.985 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.986 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.987 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.987 * [backup-simplify]: Simplify (+ 0 0) into 0 4.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.993 * [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)) 4.994 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.995 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.002 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.004 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.006 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 5.007 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 5.007 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 5.007 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 5.007 * [taylor]: Taking taylor expansion of 1/3 in N 5.007 * [backup-simplify]: Simplify 1/3 into 1/3 5.007 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 5.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.007 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.007 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.007 * [taylor]: Taking taylor expansion of N in N 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 1 into 1 5.007 * [backup-simplify]: Simplify (/ 1 1) into 1 5.007 * [taylor]: Taking taylor expansion of 1.0 in N 5.007 * [backup-simplify]: Simplify 1.0 into 1.0 5.007 * [taylor]: Taking taylor expansion of N in N 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 1 into 1 5.007 * [backup-simplify]: Simplify (+ 1 0) into 1 5.008 * [backup-simplify]: Simplify (/ 1 1) into 1 5.008 * [backup-simplify]: Simplify (log 1) into 0 5.008 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.008 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.008 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.008 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 5.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 5.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 5.008 * [taylor]: Taking taylor expansion of 1/3 in N 5.008 * [backup-simplify]: Simplify 1/3 into 1/3 5.008 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 5.009 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 5.009 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.009 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.009 * [taylor]: Taking taylor expansion of N in N 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (/ 1 1) into 1 5.009 * [taylor]: Taking taylor expansion of 1.0 in N 5.009 * [backup-simplify]: Simplify 1.0 into 1.0 5.009 * [taylor]: Taking taylor expansion of N in N 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (+ 1 0) into 1 5.009 * [backup-simplify]: Simplify (/ 1 1) into 1 5.010 * [backup-simplify]: Simplify (log 1) into 0 5.010 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.010 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.010 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.010 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.017 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.019 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 5.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.023 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.023 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 5.024 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.025 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 5.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify (+ 0 0) into 0 5.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.033 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.033 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 5.037 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.037 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 5.038 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 5.038 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 5.038 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 5.038 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.038 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.038 * [taylor]: Taking taylor expansion of -1 in N 5.038 * [backup-simplify]: Simplify -1 into -1 5.039 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.039 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.039 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.039 * [taylor]: Taking taylor expansion of 1/3 in N 5.039 * [backup-simplify]: Simplify 1/3 into 1/3 5.039 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.039 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.039 * [taylor]: Taking taylor expansion of 1.0 in N 5.039 * [backup-simplify]: Simplify 1.0 into 1.0 5.039 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.039 * [taylor]: Taking taylor expansion of N in N 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.040 * [backup-simplify]: Simplify (/ 1 1) into 1 5.040 * [taylor]: Taking taylor expansion of N in N 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 1 into 1 5.040 * [backup-simplify]: Simplify (- 1) into -1 5.040 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.041 * [backup-simplify]: Simplify (/ -1 1) into -1 5.041 * [backup-simplify]: Simplify (log -1) into (log -1) 5.041 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.042 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.042 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.042 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 5.042 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.042 * [taylor]: Taking taylor expansion of -1 in N 5.042 * [backup-simplify]: Simplify -1 into -1 5.042 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.043 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.043 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 5.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 5.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 5.043 * [taylor]: Taking taylor expansion of 1/3 in N 5.043 * [backup-simplify]: Simplify 1/3 into 1/3 5.043 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 5.043 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 5.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.043 * [taylor]: Taking taylor expansion of 1.0 in N 5.043 * [backup-simplify]: Simplify 1.0 into 1.0 5.043 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.043 * [taylor]: Taking taylor expansion of N in N 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.043 * [backup-simplify]: Simplify (/ 1 1) into 1 5.043 * [taylor]: Taking taylor expansion of N in N 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.044 * [backup-simplify]: Simplify (- 1) into -1 5.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.044 * [backup-simplify]: Simplify (/ -1 1) into -1 5.045 * [backup-simplify]: Simplify (log -1) into (log -1) 5.045 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.045 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.046 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.046 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.047 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.048 * [backup-simplify]: Simplify (- 0) into 0 5.048 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.049 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 5.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.055 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.056 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 5.060 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.061 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.063 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.065 * [backup-simplify]: Simplify (- 0) into 0 5.066 * [backup-simplify]: Simplify (+ 0 0) into 0 5.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 5.074 * [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 5.075 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.076 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 5.080 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.082 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.082 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 5.085 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 5.085 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.085 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5.085 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 5.085 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 5.086 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5.086 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 5.086 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5.086 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5.087 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5.087 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 5.087 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 5.087 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5.087 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 5.087 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5.087 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5.088 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) 5.089 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 5.089 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 5.090 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5.090 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 5.092 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5.092 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5.092 * * * [progress]: simplifying candidates 5.093 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 5.095 * * [simplify]: Extracting # 0 : cost 0 5.095 * * [simplify]: Extracting # 1 : cost 0 5.095 * * [simplify]: Extracting # 2 : cost 0 5.095 * * [simplify]: Extracting # 3 : cost 0 5.095 * * [simplify]: Extracting # 4 : cost 0 5.095 * * [simplify]: Extracting # 5 : cost 0 5.095 * * [simplify]: Extracting # 6 : cost 0 5.095 * * [simplify]: Extracting # 7 : cost 0 5.095 * * [simplify]: Extracting # 8 : cost 0 5.095 * * [simplify]: Extracting # 9 : cost 0 5.096 * * [simplify]: Extracting # 10 : cost 0 5.096 * * [simplify]: Extracting # 11 : cost 0 5.096 * * [simplify]: Extracting # 12 : cost 0 5.096 * * [simplify]: Extracting # 13 : cost 0 5.096 * * [simplify]: Extracting # 14 : cost 0 5.096 * * [simplify]: Extracting # 15 : cost 0 5.096 * * [simplify]: iteration 0 : 95 enodes (cost 1024 ) 5.145 * * [simplify]: Extracting # 0 : cost 0 5.145 * * [simplify]: Extracting # 1 : cost 0 5.145 * * [simplify]: Extracting # 2 : cost 0 5.146 * * [simplify]: Extracting # 3 : cost 0 5.146 * * [simplify]: Extracting # 4 : cost 0 5.147 * * [simplify]: iteration 1 : 210 enodes (cost 1012 ) 5.226 * * [simplify]: Extracting # 0 : cost 0 5.227 * * [simplify]: Extracting # 1 : cost 0 5.227 * * [simplify]: Extracting # 2 : cost 0 5.228 * * [simplify]: Extracting # 3 : cost 0 5.229 * * [simplify]: Extracting # 4 : cost 0 5.230 * * [simplify]: iteration 2 : 673 enodes (cost 826 ) 5.772 * * [simplify]: Extracting # 0 : cost 0 5.776 * * [simplify]: Extracting # 1 : cost 0 5.780 * * [simplify]: Extracting # 2 : cost 0 5.785 * * [simplify]: Extracting # 3 : cost 0 5.789 * * [simplify]: Extracting # 4 : cost 0 5.793 * * [simplify]: iteration 3 : 3165 enodes (cost 748 ) 6.855 * * [simplify]: Extracting # 0 : cost 0 6.862 * * [simplify]: Extracting # 1 : cost 0 6.869 * * [simplify]: Extracting # 2 : cost 0 6.876 * * [simplify]: Extracting # 3 : cost 0 6.890 * * [simplify]: Extracting # 4 : cost 0 6.898 * * [simplify]: iteration done: 5001 enodes (cost 694 ) 6.899 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (exp (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (* (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))) (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (pow (atan2 1.0 (+ (* (+ N 1.0) N) 1)) 3) (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (+ (/ (* (* (* N N) (cbrt (* N 1.0))) -1/6) (* 1.0 1.0)) (+ (cbrt (* N 1.0)) (* (cbrt (* N 1.0)) (+ (* (* N N) 0.05555555555555555) (* 0.3333333333333333 N))))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (- (* (/ (cbrt -1) N) (* (cbrt (* (pow (/ -1 N) -2) -1)) 0.3333333333333333)) (* (/ (* 0.1111111111111111 (cbrt -1)) N) (/ (cbrt (* (pow (/ -1 N) -2) -1)) N))) (* (cbrt -1) (cbrt (* (pow (/ -1 N) -2) -1)))) (+ (/ (* (* (* N N) (cbrt (* N 1.0))) -1/6) (* 1.0 1.0)) (+ (cbrt (* N 1.0)) (* (cbrt (* N 1.0)) (+ (* (* N N) 0.05555555555555555) (* 0.3333333333333333 N))))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (- (* (/ (cbrt -1) N) (* (cbrt (* (pow (/ -1 N) -2) -1)) 0.3333333333333333)) (* (/ (* 0.1111111111111111 (cbrt -1)) N) (/ (cbrt (* (pow (/ -1 N) -2) -1)) N))) (* (cbrt -1) (cbrt (* (pow (/ -1 N) -2) -1)))) (+ (/ (* (* (* N N) (cbrt (* N 1.0))) -1/6) (* 1.0 1.0)) (+ (cbrt (* N 1.0)) (* (cbrt (* N 1.0)) (+ (* (* N N) 0.05555555555555555) (* 0.3333333333333333 N))))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (- (* (/ (cbrt -1) N) (* (cbrt (* (pow (/ -1 N) -2) -1)) 0.3333333333333333)) (* (/ (* 0.1111111111111111 (cbrt -1)) N) (/ (cbrt (* (pow (/ -1 N) -2) -1)) N))) (* (cbrt -1) (cbrt (* (pow (/ -1 N) -2) -1)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) 6.900 * * * [progress]: adding candidates to table 7.138 * [progress]: [Phase 3 of 3] Extracting. 7.138 * * [regime]: Finding splitpoints for: (# # # # # #) 7.143 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.143 * * * * [regimes]: Trying to branch on N from (# # # # # #) 7.200 * * * [regime]: Found split indices: #