18.660 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.070 * [progress]: [Phase 2 of 3] Improving. 0.070 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: Extracting # 1 : cost 0 0.070 * * [simplify]: Extracting # 2 : cost 0 0.070 * * [simplify]: Extracting # 3 : cost 0 0.070 * * [simplify]: Extracting # 4 : cost 0 0.070 * * [simplify]: Extracting # 5 : cost 0 0.070 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.072 * * [simplify]: Extracting # 0 : cost 0 0.072 * * [simplify]: Extracting # 1 : cost 0 0.072 * * [simplify]: Extracting # 2 : cost 0 0.072 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.074 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.077 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.081 * * * * [pick]: Picked # 0.081 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.106 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.107 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 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 * [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 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [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 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [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 (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.112 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.113 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.113 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.113 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.113 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.113 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.113 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.113 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.113 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.113 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.113 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 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 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [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 0.118 * [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 0.118 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.119 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.119 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.119 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.119 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.119 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.119 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.119 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.119 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.119 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.119 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.119 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.119 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.119 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.120 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.120 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 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 (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [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 (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.124 * * * [progress]: simplifying candidates 0.125 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.126 * * [simplify]: Extracting # 0 : cost 0 0.126 * * [simplify]: Extracting # 1 : cost 0 0.126 * * [simplify]: Extracting # 2 : cost 0 0.126 * * [simplify]: Extracting # 3 : cost 0 0.126 * * [simplify]: Extracting # 4 : cost 0 0.126 * * [simplify]: Extracting # 5 : cost 0 0.126 * * [simplify]: Extracting # 6 : cost 0 0.127 * * [simplify]: iteration 0 : 36 enodes (cost 209 ) 0.138 * * [simplify]: Extracting # 0 : cost 0 0.139 * * [simplify]: Extracting # 1 : cost 0 0.139 * * [simplify]: Extracting # 2 : cost 0 0.139 * * [simplify]: Extracting # 3 : cost 0 0.139 * * [simplify]: Extracting # 4 : cost 0 0.139 * * [simplify]: iteration 1 : 73 enodes (cost 205 ) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.164 * * [simplify]: Extracting # 2 : cost 0 0.164 * * [simplify]: Extracting # 3 : cost 0 0.165 * * [simplify]: Extracting # 4 : cost 0 0.165 * * [simplify]: iteration 2 : 143 enodes (cost 191 ) 0.231 * * [simplify]: Extracting # 0 : cost 0 0.231 * * [simplify]: Extracting # 1 : cost 0 0.231 * * [simplify]: Extracting # 2 : cost 0 0.232 * * [simplify]: Extracting # 3 : cost 0 0.232 * * [simplify]: iteration 3 : 267 enodes (cost 187 ) 0.308 * * [simplify]: Extracting # 0 : cost 0 0.309 * * [simplify]: Extracting # 1 : cost 0 0.310 * * [simplify]: Extracting # 2 : cost 0 0.311 * * [simplify]: Extracting # 3 : cost 0 0.312 * * [simplify]: Extracting # 4 : cost 0 0.313 * * [simplify]: iteration 4 : 533 enodes (cost 185 ) 0.624 * * [simplify]: Extracting # 0 : cost 0 0.625 * * [simplify]: Extracting # 1 : cost 0 0.627 * * [simplify]: Extracting # 2 : cost 0 0.628 * * [simplify]: Extracting # 3 : cost 0 0.629 * * [simplify]: iteration 5 : 1495 enodes (cost 185 ) 1.883 * * [simplify]: Extracting # 0 : cost 0 1.888 * * [simplify]: Extracting # 1 : cost 0 1.894 * * [simplify]: Extracting # 2 : cost 0 1.899 * * [simplify]: Extracting # 3 : cost 0 1.904 * * [simplify]: Extracting # 4 : cost 0 1.909 * * [simplify]: Extracting # 5 : cost 0 1.917 * * [simplify]: iteration done: 5000 enodes (cost 185 ) 1.917 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 1.918 * * * [progress]: adding candidates to table 1.949 * * [progress]: iteration 2 / 4 1.949 * * * [progress]: picking best candidate 1.950 * * * * [pick]: Picked # 1.950 * * * [progress]: localizing error 1.960 * * * [progress]: generating rewritten candidates 1.960 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.960 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.007 * * * [progress]: generating series expansions 2.007 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.007 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.007 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.007 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.008 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.008 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.008 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.008 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.009 * [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))) 2.009 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.009 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.010 * [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))) 2.010 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.010 * [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))) 2.010 * [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))) 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [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))) 2.011 * [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)))) 2.011 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.012 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.012 * [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)))) 2.012 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.012 * [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)))) 2.013 * [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)))) 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [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))) 2.013 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.013 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.014 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.014 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of 1.0 in N 2.014 * [backup-simplify]: Simplify 1.0 into 1.0 2.014 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of 1.0 in N 2.014 * [backup-simplify]: Simplify 1.0 into 1.0 2.015 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.015 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (+ 1 0) into 1 2.018 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.018 * [backup-simplify]: Simplify 1.0 into 1.0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.019 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 2.029 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.029 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.029 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.030 * [taylor]: Taking taylor expansion of N in N 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [taylor]: Taking taylor expansion of 1.0 in N 2.030 * [backup-simplify]: Simplify 1.0 into 1.0 2.030 * [taylor]: Taking taylor expansion of N in N 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (+ 1 0) into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.030 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.030 * [taylor]: Taking taylor expansion of N in N 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [taylor]: Taking taylor expansion of 1.0 in N 2.031 * [backup-simplify]: Simplify 1.0 into 1.0 2.031 * [taylor]: Taking taylor expansion of N in N 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (+ 1 0) into 1 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.033 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.033 * [backup-simplify]: Simplify 1.0 into 1.0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [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 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [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 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [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 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 2.042 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.042 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.042 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.042 * [taylor]: Taking taylor expansion of -1 in N 2.042 * [backup-simplify]: Simplify -1 into -1 2.042 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.042 * [taylor]: Taking taylor expansion of 1.0 in N 2.042 * [backup-simplify]: Simplify 1.0 into 1.0 2.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.042 * [taylor]: Taking taylor expansion of N in N 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (/ 1 1) into 1 2.043 * [taylor]: Taking taylor expansion of N in N 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (- 1) into -1 2.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.043 * [backup-simplify]: Simplify (/ -1 1) into -1 2.043 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.043 * [taylor]: Taking taylor expansion of -1 in N 2.043 * [backup-simplify]: Simplify -1 into -1 2.043 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.043 * [taylor]: Taking taylor expansion of 1.0 in N 2.043 * [backup-simplify]: Simplify 1.0 into 1.0 2.043 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.043 * [taylor]: Taking taylor expansion of N in N 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.044 * [taylor]: Taking taylor expansion of N in N 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (- 1) into -1 2.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.045 * [backup-simplify]: Simplify (/ -1 1) into -1 2.045 * [backup-simplify]: Simplify (* -1 -1) into 1 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (- 0) into 0 2.046 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.047 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.048 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.048 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (- 0) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (- 0) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [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 2.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.066 * [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 2.067 * [backup-simplify]: Simplify (- 0) into 0 2.067 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [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 2.071 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 2.071 * * * [progress]: simplifying candidates 2.072 * [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)) 2.074 * * [simplify]: Extracting # 0 : cost 0 2.074 * * [simplify]: Extracting # 1 : cost 0 2.074 * * [simplify]: Extracting # 2 : cost 0 2.074 * * [simplify]: Extracting # 3 : cost 0 2.074 * * [simplify]: Extracting # 4 : cost 0 2.074 * * [simplify]: Extracting # 5 : cost 0 2.074 * * [simplify]: Extracting # 6 : cost 0 2.075 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 2.090 * * [simplify]: Extracting # 0 : cost 0 2.090 * * [simplify]: Extracting # 1 : cost 0 2.091 * * [simplify]: Extracting # 2 : cost 0 2.091 * * [simplify]: Extracting # 3 : cost 0 2.091 * * [simplify]: Extracting # 4 : cost 0 2.091 * * [simplify]: iteration 1 : 120 enodes (cost 312 ) 2.148 * * [simplify]: Extracting # 0 : cost 0 2.149 * * [simplify]: Extracting # 1 : cost 0 2.150 * * [simplify]: Extracting # 2 : cost 0 2.150 * * [simplify]: Extracting # 3 : cost 0 2.151 * * [simplify]: Extracting # 4 : cost 0 2.152 * * [simplify]: iteration 2 : 356 enodes (cost 264 ) 2.480 * * [simplify]: Extracting # 0 : cost 0 2.483 * * [simplify]: Extracting # 1 : cost 0 2.485 * * [simplify]: Extracting # 2 : cost 0 2.486 * * [simplify]: Extracting # 3 : cost 0 2.488 * * [simplify]: Extracting # 4 : cost 0 2.490 * * [simplify]: iteration 3 : 1001 enodes (cost 264 ) 4.660 * * [simplify]: Extracting # 0 : cost 0 4.666 * * [simplify]: Extracting # 1 : cost 0 4.671 * * [simplify]: Extracting # 2 : cost 0 4.674 * * [simplify]: Extracting # 3 : cost 0 4.676 * * [simplify]: Extracting # 4 : cost 0 4.684 * * [simplify]: iteration 4 : 4336 enodes (cost 264 ) 6.073 * * [simplify]: Extracting # 0 : cost 0 6.077 * * [simplify]: Extracting # 1 : cost 0 6.080 * * [simplify]: Extracting # 2 : cost 0 6.083 * * [simplify]: Extracting # 3 : cost 0 6.087 * * [simplify]: Extracting # 4 : cost 0 6.090 * * [simplify]: iteration done: 5002 enodes (cost 264 ) 6.090 * [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)))) (* (+ N 1.0) 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)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (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 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) 6.090 * * * [progress]: adding candidates to table 6.154 * * [progress]: iteration 3 / 4 6.154 * * * [progress]: picking best candidate 6.166 * * * * [pick]: Picked # 6.166 * * * [progress]: localizing error 6.182 * * * [progress]: generating rewritten candidates 6.183 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 6.190 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 6.197 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 6.204 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 6.230 * * * [progress]: generating series expansions 6.230 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 6.230 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 6.230 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 6.230 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.230 * [taylor]: Taking taylor expansion of 1/3 in N 6.230 * [backup-simplify]: Simplify 1/3 into 1/3 6.230 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.230 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.230 * [taylor]: Taking taylor expansion of N in N 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify 1 into 1 6.230 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.231 * [taylor]: Taking taylor expansion of N in N 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [taylor]: Taking taylor expansion of 1.0 in N 6.231 * [backup-simplify]: Simplify 1.0 into 1.0 6.231 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.231 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.232 * [backup-simplify]: Simplify (+ 1 0) into 1 6.233 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.233 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.234 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.234 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.234 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.234 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.234 * [taylor]: Taking taylor expansion of 1/3 in N 6.234 * [backup-simplify]: Simplify 1/3 into 1/3 6.234 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.234 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.234 * [taylor]: Taking taylor expansion of N in N 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify 1 into 1 6.234 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.234 * [taylor]: Taking taylor expansion of N in N 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify 1 into 1 6.234 * [taylor]: Taking taylor expansion of 1.0 in N 6.235 * [backup-simplify]: Simplify 1.0 into 1.0 6.235 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.235 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.235 * [backup-simplify]: Simplify (+ 1 0) into 1 6.236 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.242 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.243 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.243 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.244 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.244 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.245 * [backup-simplify]: Simplify (+ 0 0) into 0 6.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 6.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.249 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.249 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 6.251 * [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))))) 6.251 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 6.252 * [backup-simplify]: Simplify (+ 0 0) into 0 6.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 6.259 * [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)) 6.260 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.261 * [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)))) 6.268 * [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))))) 6.271 * [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))))) 6.274 * [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)))) 6.274 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 6.274 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 6.274 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.274 * [taylor]: Taking taylor expansion of 1/3 in N 6.274 * [backup-simplify]: Simplify 1/3 into 1/3 6.274 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.274 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.274 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.274 * [taylor]: Taking taylor expansion of N in N 6.274 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 1 into 1 6.275 * [backup-simplify]: Simplify (/ 1 1) into 1 6.275 * [taylor]: Taking taylor expansion of 1.0 in N 6.275 * [backup-simplify]: Simplify 1.0 into 1.0 6.275 * [taylor]: Taking taylor expansion of N in N 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 1 into 1 6.275 * [backup-simplify]: Simplify (+ 1 0) into 1 6.275 * [backup-simplify]: Simplify (/ 1 1) into 1 6.276 * [backup-simplify]: Simplify (log 1) into 0 6.276 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.276 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.276 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.276 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.276 * [taylor]: Taking taylor expansion of 1/3 in N 6.276 * [backup-simplify]: Simplify 1/3 into 1/3 6.276 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.276 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.276 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.276 * [taylor]: Taking taylor expansion of N in N 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (/ 1 1) into 1 6.277 * [taylor]: Taking taylor expansion of 1.0 in N 6.277 * [backup-simplify]: Simplify 1.0 into 1.0 6.277 * [taylor]: Taking taylor expansion of N in N 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (+ 1 0) into 1 6.277 * [backup-simplify]: Simplify (/ 1 1) into 1 6.277 * [backup-simplify]: Simplify (log 1) into 0 6.278 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.278 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.278 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.278 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.279 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.281 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 6.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.289 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.290 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 6.293 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.293 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.294 * [backup-simplify]: Simplify (+ 0 0) into 0 6.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.302 * [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 6.303 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.303 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 6.306 * [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)) 6.307 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 6.307 * [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))) 6.308 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 6.308 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 6.308 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.308 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.308 * [taylor]: Taking taylor expansion of -1 in N 6.308 * [backup-simplify]: Simplify -1 into -1 6.308 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.309 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.309 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.309 * [taylor]: Taking taylor expansion of 1/3 in N 6.309 * [backup-simplify]: Simplify 1/3 into 1/3 6.309 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.309 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.309 * [taylor]: Taking taylor expansion of 1.0 in N 6.309 * [backup-simplify]: Simplify 1.0 into 1.0 6.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.309 * [taylor]: Taking taylor expansion of N in N 6.309 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (/ 1 1) into 1 6.309 * [taylor]: Taking taylor expansion of N in N 6.309 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (- 1) into -1 6.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.310 * [backup-simplify]: Simplify (/ -1 1) into -1 6.310 * [backup-simplify]: Simplify (log -1) into (log -1) 6.311 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.311 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.311 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.312 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.312 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.312 * [taylor]: Taking taylor expansion of -1 in N 6.312 * [backup-simplify]: Simplify -1 into -1 6.312 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.312 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.312 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.312 * [taylor]: Taking taylor expansion of 1/3 in N 6.312 * [backup-simplify]: Simplify 1/3 into 1/3 6.312 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.313 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.313 * [taylor]: Taking taylor expansion of 1.0 in N 6.313 * [backup-simplify]: Simplify 1.0 into 1.0 6.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.313 * [taylor]: Taking taylor expansion of N in N 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (/ 1 1) into 1 6.313 * [taylor]: Taking taylor expansion of N in N 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (- 1) into -1 6.313 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.314 * [backup-simplify]: Simplify (/ -1 1) into -1 6.314 * [backup-simplify]: Simplify (log -1) into (log -1) 6.315 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.315 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.315 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.316 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.317 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (- 0) into 0 6.318 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.319 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 6.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.324 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.325 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 6.328 * [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)))))) 6.330 * [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)))))))) 6.331 * [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)))))))) 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (- 0) into 0 6.333 * [backup-simplify]: Simplify (+ 0 0) into 0 6.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.346 * [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 6.347 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.348 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 6.359 * [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)))))) 6.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.361 * [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)))))))) 6.362 * [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)))))))) 6.364 * [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)))) 6.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 6.364 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 6.365 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 6.365 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.365 * [taylor]: Taking taylor expansion of 1/3 in N 6.365 * [backup-simplify]: Simplify 1/3 into 1/3 6.365 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.365 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.365 * [taylor]: Taking taylor expansion of N in N 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 1 into 1 6.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.365 * [taylor]: Taking taylor expansion of N in N 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 1 into 1 6.365 * [taylor]: Taking taylor expansion of 1.0 in N 6.365 * [backup-simplify]: Simplify 1.0 into 1.0 6.365 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.365 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.366 * [backup-simplify]: Simplify (+ 1 0) into 1 6.366 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.367 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.367 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.368 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.368 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.368 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.368 * [taylor]: Taking taylor expansion of 1/3 in N 6.368 * [backup-simplify]: Simplify 1/3 into 1/3 6.368 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.368 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.368 * [taylor]: Taking taylor expansion of N in N 6.368 * [backup-simplify]: Simplify 0 into 0 6.368 * [backup-simplify]: Simplify 1 into 1 6.368 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.368 * [taylor]: Taking taylor expansion of N in N 6.368 * [backup-simplify]: Simplify 0 into 0 6.368 * [backup-simplify]: Simplify 1 into 1 6.368 * [taylor]: Taking taylor expansion of 1.0 in N 6.368 * [backup-simplify]: Simplify 1.0 into 1.0 6.368 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.369 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.369 * [backup-simplify]: Simplify (+ 1 0) into 1 6.370 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.370 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.371 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.371 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.371 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.372 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.372 * [backup-simplify]: Simplify (+ 0 0) into 0 6.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 6.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.377 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.378 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 6.379 * [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))))) 6.380 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 6.380 * [backup-simplify]: Simplify (+ 0 0) into 0 6.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 6.387 * [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)) 6.387 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.389 * [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)))) 6.395 * [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))))) 6.398 * [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))))) 6.400 * [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)))) 6.401 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 6.401 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 6.401 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.401 * [taylor]: Taking taylor expansion of 1/3 in N 6.401 * [backup-simplify]: Simplify 1/3 into 1/3 6.401 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.401 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.401 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.401 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.401 * [taylor]: Taking taylor expansion of N in N 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 1 into 1 6.401 * [backup-simplify]: Simplify (/ 1 1) into 1 6.401 * [taylor]: Taking taylor expansion of 1.0 in N 6.401 * [backup-simplify]: Simplify 1.0 into 1.0 6.401 * [taylor]: Taking taylor expansion of N in N 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (+ 1 0) into 1 6.402 * [backup-simplify]: Simplify (/ 1 1) into 1 6.402 * [backup-simplify]: Simplify (log 1) into 0 6.402 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.402 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.402 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.402 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.403 * [taylor]: Taking taylor expansion of 1/3 in N 6.403 * [backup-simplify]: Simplify 1/3 into 1/3 6.403 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.403 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.403 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.403 * [taylor]: Taking taylor expansion of N in N 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 1 into 1 6.403 * [backup-simplify]: Simplify (/ 1 1) into 1 6.403 * [taylor]: Taking taylor expansion of 1.0 in N 6.403 * [backup-simplify]: Simplify 1.0 into 1.0 6.403 * [taylor]: Taking taylor expansion of N in N 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 1 into 1 6.403 * [backup-simplify]: Simplify (+ 1 0) into 1 6.404 * [backup-simplify]: Simplify (/ 1 1) into 1 6.404 * [backup-simplify]: Simplify (log 1) into 0 6.404 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.404 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.404 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.404 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.405 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.406 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 6.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.410 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.411 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 6.412 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.412 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.413 * [backup-simplify]: Simplify (+ 0 0) into 0 6.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.420 * [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 6.421 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.421 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 6.425 * [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)) 6.425 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 6.425 * [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))) 6.426 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 6.426 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 6.426 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.426 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.426 * [taylor]: Taking taylor expansion of -1 in N 6.426 * [backup-simplify]: Simplify -1 into -1 6.426 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.426 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.426 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.427 * [taylor]: Taking taylor expansion of 1/3 in N 6.427 * [backup-simplify]: Simplify 1/3 into 1/3 6.427 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.427 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.427 * [taylor]: Taking taylor expansion of 1.0 in N 6.427 * [backup-simplify]: Simplify 1.0 into 1.0 6.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.427 * [taylor]: Taking taylor expansion of N in N 6.427 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify 1 into 1 6.427 * [backup-simplify]: Simplify (/ 1 1) into 1 6.427 * [taylor]: Taking taylor expansion of N in N 6.427 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify 1 into 1 6.427 * [backup-simplify]: Simplify (- 1) into -1 6.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.428 * [backup-simplify]: Simplify (/ -1 1) into -1 6.428 * [backup-simplify]: Simplify (log -1) into (log -1) 6.429 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.429 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.429 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.429 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.429 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.429 * [taylor]: Taking taylor expansion of -1 in N 6.429 * [backup-simplify]: Simplify -1 into -1 6.430 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.430 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.430 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.430 * [taylor]: Taking taylor expansion of 1/3 in N 6.430 * [backup-simplify]: Simplify 1/3 into 1/3 6.430 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.430 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.430 * [taylor]: Taking taylor expansion of 1.0 in N 6.430 * [backup-simplify]: Simplify 1.0 into 1.0 6.430 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.430 * [taylor]: Taking taylor expansion of N in N 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [backup-simplify]: Simplify (/ 1 1) into 1 6.430 * [taylor]: Taking taylor expansion of N in N 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.431 * [backup-simplify]: Simplify (- 1) into -1 6.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.431 * [backup-simplify]: Simplify (/ -1 1) into -1 6.432 * [backup-simplify]: Simplify (log -1) into (log -1) 6.432 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.432 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.433 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.433 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.434 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (- 0) into 0 6.435 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.437 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 6.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.441 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.442 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 6.453 * [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)))))) 6.455 * [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)))))))) 6.456 * [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)))))))) 6.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.458 * [backup-simplify]: Simplify (- 0) into 0 6.458 * [backup-simplify]: Simplify (+ 0 0) into 0 6.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.467 * [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 6.467 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.468 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 6.472 * [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)))))) 6.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.475 * [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)))))))) 6.475 * [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)))))))) 6.478 * [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)))) 6.478 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 6.478 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 6.478 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 6.478 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.478 * [taylor]: Taking taylor expansion of 1/3 in N 6.478 * [backup-simplify]: Simplify 1/3 into 1/3 6.478 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.478 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.478 * [taylor]: Taking taylor expansion of N in N 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify 1 into 1 6.478 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.479 * [taylor]: Taking taylor expansion of N in N 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 1 into 1 6.479 * [taylor]: Taking taylor expansion of 1.0 in N 6.479 * [backup-simplify]: Simplify 1.0 into 1.0 6.479 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.479 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.479 * [backup-simplify]: Simplify (+ 1 0) into 1 6.480 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.481 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.481 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.481 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.482 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.482 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.482 * [taylor]: Taking taylor expansion of 1/3 in N 6.482 * [backup-simplify]: Simplify 1/3 into 1/3 6.482 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.482 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.482 * [taylor]: Taking taylor expansion of N in N 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.482 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.482 * [taylor]: Taking taylor expansion of N in N 6.482 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify 1 into 1 6.482 * [taylor]: Taking taylor expansion of 1.0 in N 6.482 * [backup-simplify]: Simplify 1.0 into 1.0 6.482 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.483 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.483 * [backup-simplify]: Simplify (+ 1 0) into 1 6.484 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.484 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.485 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.485 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.486 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.486 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.486 * [backup-simplify]: Simplify (+ 0 0) into 0 6.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 6.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.490 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.491 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 6.493 * [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))))) 6.493 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 6.493 * [backup-simplify]: Simplify (+ 0 0) into 0 6.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 6.501 * [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)) 6.502 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.505 * [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)))) 6.515 * [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))))) 6.518 * [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))))) 6.521 * [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)))) 6.521 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 6.521 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 6.521 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.521 * [taylor]: Taking taylor expansion of 1/3 in N 6.521 * [backup-simplify]: Simplify 1/3 into 1/3 6.521 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.521 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.521 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.521 * [taylor]: Taking taylor expansion of N in N 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (/ 1 1) into 1 6.522 * [taylor]: Taking taylor expansion of 1.0 in N 6.522 * [backup-simplify]: Simplify 1.0 into 1.0 6.522 * [taylor]: Taking taylor expansion of N in N 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (+ 1 0) into 1 6.522 * [backup-simplify]: Simplify (/ 1 1) into 1 6.522 * [backup-simplify]: Simplify (log 1) into 0 6.523 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.523 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.523 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.523 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 6.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 6.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 6.523 * [taylor]: Taking taylor expansion of 1/3 in N 6.523 * [backup-simplify]: Simplify 1/3 into 1/3 6.523 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 6.523 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 6.523 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.523 * [taylor]: Taking taylor expansion of N in N 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (/ 1 1) into 1 6.524 * [taylor]: Taking taylor expansion of 1.0 in N 6.524 * [backup-simplify]: Simplify 1.0 into 1.0 6.524 * [taylor]: Taking taylor expansion of N in N 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (+ 1 0) into 1 6.524 * [backup-simplify]: Simplify (/ 1 1) into 1 6.525 * [backup-simplify]: Simplify (log 1) into 0 6.525 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.525 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.525 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.525 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.527 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 6.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.531 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.532 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 6.533 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.533 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 6.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (+ 0 0) into 0 6.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.542 * [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 6.542 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.543 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 6.547 * [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)) 6.547 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 6.548 * [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))) 6.549 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 6.549 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 6.549 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.549 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.549 * [taylor]: Taking taylor expansion of -1 in N 6.549 * [backup-simplify]: Simplify -1 into -1 6.549 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.550 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.550 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.550 * [taylor]: Taking taylor expansion of 1/3 in N 6.550 * [backup-simplify]: Simplify 1/3 into 1/3 6.550 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.550 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.550 * [taylor]: Taking taylor expansion of 1.0 in N 6.550 * [backup-simplify]: Simplify 1.0 into 1.0 6.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.550 * [taylor]: Taking taylor expansion of N in N 6.550 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify 1 into 1 6.550 * [backup-simplify]: Simplify (/ 1 1) into 1 6.550 * [taylor]: Taking taylor expansion of N in N 6.550 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify 1 into 1 6.551 * [backup-simplify]: Simplify (- 1) into -1 6.551 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.551 * [backup-simplify]: Simplify (/ -1 1) into -1 6.551 * [backup-simplify]: Simplify (log -1) into (log -1) 6.552 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.552 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.553 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.553 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 6.553 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.553 * [taylor]: Taking taylor expansion of -1 in N 6.553 * [backup-simplify]: Simplify -1 into -1 6.560 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.560 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.560 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 6.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 6.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 6.561 * [taylor]: Taking taylor expansion of 1/3 in N 6.561 * [backup-simplify]: Simplify 1/3 into 1/3 6.561 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 6.561 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 6.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.561 * [taylor]: Taking taylor expansion of 1.0 in N 6.561 * [backup-simplify]: Simplify 1.0 into 1.0 6.561 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.561 * [taylor]: Taking taylor expansion of N in N 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 1 into 1 6.561 * [backup-simplify]: Simplify (/ 1 1) into 1 6.561 * [taylor]: Taking taylor expansion of N in N 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 1 into 1 6.561 * [backup-simplify]: Simplify (- 1) into -1 6.562 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.562 * [backup-simplify]: Simplify (/ -1 1) into -1 6.562 * [backup-simplify]: Simplify (log -1) into (log -1) 6.563 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.563 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.563 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.564 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.565 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (- 0) into 0 6.566 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.567 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 6.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.572 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.572 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 6.575 * [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)))))) 6.576 * [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)))))))) 6.577 * [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)))))))) 6.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.577 * [backup-simplify]: Simplify (- 0) into 0 6.578 * [backup-simplify]: Simplify (+ 0 0) into 0 6.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.585 * [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 6.586 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.586 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 6.591 * [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)))))) 6.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.594 * [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)))))))) 6.595 * [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)))))))) 6.597 * [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)))) 6.597 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 6.597 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) 6.598 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 6.598 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 6.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 6.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 6.598 * [taylor]: Taking taylor expansion of 1/3 in N 6.598 * [backup-simplify]: Simplify 1/3 into 1/3 6.598 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 6.598 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 6.598 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.598 * [taylor]: Taking taylor expansion of N in N 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify 1 into 1 6.598 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 6.598 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.598 * [taylor]: Taking taylor expansion of N in N 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify 1 into 1 6.598 * [taylor]: Taking taylor expansion of 1.0 in N 6.598 * [backup-simplify]: Simplify 1.0 into 1.0 6.598 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.598 * [backup-simplify]: Simplify (* 1 1) into 1 6.599 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.599 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 6.599 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.600 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 6.600 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 6.601 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 6.601 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 6.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 6.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 6.601 * [taylor]: Taking taylor expansion of 1/3 in N 6.601 * [backup-simplify]: Simplify 1/3 into 1/3 6.601 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 6.601 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 6.601 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.601 * [taylor]: Taking taylor expansion of N in N 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 1 into 1 6.601 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 6.601 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.601 * [taylor]: Taking taylor expansion of N in N 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 1 into 1 6.601 * [taylor]: Taking taylor expansion of 1.0 in N 6.601 * [backup-simplify]: Simplify 1.0 into 1.0 6.601 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.601 * [backup-simplify]: Simplify (* 1 1) into 1 6.602 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.602 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 6.602 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.603 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 6.603 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 6.603 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 6.604 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 6.604 * [backup-simplify]: Simplify (+ 1 0) into 1 6.605 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 6.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.606 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 6.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 6.611 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 6.612 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 6.614 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 6.614 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 6.615 * [backup-simplify]: Simplify (+ 0 0) into 0 6.616 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 6.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.618 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 6.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 6.634 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 6.639 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 6.646 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 6.648 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 6.651 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) 6.652 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) 6.652 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 6.652 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 6.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 6.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 6.652 * [taylor]: Taking taylor expansion of 1/3 in N 6.652 * [backup-simplify]: Simplify 1/3 into 1/3 6.652 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 6.652 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 6.652 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 6.652 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.652 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.652 * [taylor]: Taking taylor expansion of N in N 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.652 * [backup-simplify]: Simplify (/ 1 1) into 1 6.652 * [taylor]: Taking taylor expansion of 1.0 in N 6.652 * [backup-simplify]: Simplify 1.0 into 1.0 6.653 * [backup-simplify]: Simplify (+ 1 0) into 1 6.653 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.653 * [taylor]: Taking taylor expansion of N in N 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [backup-simplify]: Simplify (* 1 1) into 1 6.653 * [backup-simplify]: Simplify (* 1 1) into 1 6.653 * [backup-simplify]: Simplify (/ 1 1) into 1 6.654 * [backup-simplify]: Simplify (log 1) into 0 6.654 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 6.654 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 6.654 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 6.654 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 6.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 6.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 6.654 * [taylor]: Taking taylor expansion of 1/3 in N 6.654 * [backup-simplify]: Simplify 1/3 into 1/3 6.654 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 6.654 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 6.654 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 6.654 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.654 * [taylor]: Taking taylor expansion of N in N 6.654 * [backup-simplify]: Simplify 0 into 0 6.654 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (/ 1 1) into 1 6.655 * [taylor]: Taking taylor expansion of 1.0 in N 6.655 * [backup-simplify]: Simplify 1.0 into 1.0 6.655 * [backup-simplify]: Simplify (+ 1 0) into 1 6.655 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.655 * [taylor]: Taking taylor expansion of N in N 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (* 1 1) into 1 6.655 * [backup-simplify]: Simplify (* 1 1) into 1 6.656 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [backup-simplify]: Simplify (log 1) into 0 6.656 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 6.656 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 6.656 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 6.657 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 6.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.657 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.658 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 6.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.666 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 6.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 6.674 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 6.674 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 6.677 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 6.677 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 6.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.679 * [backup-simplify]: Simplify (+ 0 0) into 0 6.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 6.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.685 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 6.699 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 6.700 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 6.701 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 6.707 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 6.707 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 6.708 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) 6.709 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) 6.709 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 6.709 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 6.709 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 6.709 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.709 * [taylor]: Taking taylor expansion of -1 in N 6.709 * [backup-simplify]: Simplify -1 into -1 6.710 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.710 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.710 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 6.710 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 6.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 6.710 * [taylor]: Taking taylor expansion of 1/3 in N 6.710 * [backup-simplify]: Simplify 1/3 into 1/3 6.710 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 6.710 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 6.710 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 6.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.710 * [taylor]: Taking taylor expansion of 1.0 in N 6.710 * [backup-simplify]: Simplify 1.0 into 1.0 6.710 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.710 * [taylor]: Taking taylor expansion of N in N 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify 1 into 1 6.711 * [backup-simplify]: Simplify (/ 1 1) into 1 6.711 * [backup-simplify]: Simplify (- 1) into -1 6.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.711 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.711 * [taylor]: Taking taylor expansion of N in N 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 1 into 1 6.711 * [backup-simplify]: Simplify (* -1 -1) into 1 6.712 * [backup-simplify]: Simplify (* 1 1) into 1 6.712 * [backup-simplify]: Simplify (/ 1 1) into 1 6.712 * [backup-simplify]: Simplify (log 1) into 0 6.713 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 6.713 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 6.713 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 6.713 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 6.713 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 6.713 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.713 * [taylor]: Taking taylor expansion of -1 in N 6.713 * [backup-simplify]: Simplify -1 into -1 6.713 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.713 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.714 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 6.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 6.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 6.714 * [taylor]: Taking taylor expansion of 1/3 in N 6.714 * [backup-simplify]: Simplify 1/3 into 1/3 6.714 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 6.714 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 6.714 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 6.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.714 * [taylor]: Taking taylor expansion of 1.0 in N 6.714 * [backup-simplify]: Simplify 1.0 into 1.0 6.714 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.714 * [taylor]: Taking taylor expansion of N in N 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 1 into 1 6.714 * [backup-simplify]: Simplify (/ 1 1) into 1 6.714 * [backup-simplify]: Simplify (- 1) into -1 6.715 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.715 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.715 * [taylor]: Taking taylor expansion of N in N 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (* -1 -1) into 1 6.715 * [backup-simplify]: Simplify (* 1 1) into 1 6.715 * [backup-simplify]: Simplify (/ 1 1) into 1 6.716 * [backup-simplify]: Simplify (log 1) into 0 6.716 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 6.716 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 6.716 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 6.717 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.718 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -4/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 6.718 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 6.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.719 * [backup-simplify]: Simplify (- 0) into 0 6.719 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.720 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 6.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.722 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 6.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 6.727 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 6.727 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 6.729 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 6.729 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.730 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 6.731 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.732 * [backup-simplify]: Simplify (- 0) into 0 6.733 * [backup-simplify]: Simplify (+ 0 0) into 0 6.734 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 6.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.736 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 6.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 6.746 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 6.746 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 6.750 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 6.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.752 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.753 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* 0 (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 6.754 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 6.759 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (/ 1 (- N))) (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) into (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 6.760 * * * [progress]: simplifying candidates 6.762 * [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))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (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))) (* (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)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) 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 1.0))))) (* (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 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 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)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 6.766 * * [simplify]: Extracting # 0 : cost 0 6.767 * * [simplify]: Extracting # 1 : cost 0 6.767 * * [simplify]: Extracting # 2 : cost 0 6.767 * * [simplify]: Extracting # 3 : cost 0 6.767 * * [simplify]: Extracting # 4 : cost 0 6.768 * * [simplify]: Extracting # 5 : cost 0 6.768 * * [simplify]: Extracting # 6 : cost 0 6.768 * * [simplify]: Extracting # 7 : cost 0 6.769 * * [simplify]: Extracting # 8 : cost 0 6.769 * * [simplify]: Extracting # 9 : cost 0 6.769 * * [simplify]: Extracting # 10 : cost 0 6.770 * * [simplify]: Extracting # 11 : cost 0 6.770 * * [simplify]: Extracting # 12 : cost 0 6.771 * * [simplify]: Extracting # 13 : cost 0 6.771 * * [simplify]: Extracting # 14 : cost 0 6.771 * * [simplify]: Extracting # 15 : cost 0 6.772 * * [simplify]: iteration 0 : 152 enodes (cost 1527 ) 6.840 * * [simplify]: Extracting # 0 : cost 0 6.840 * * [simplify]: Extracting # 1 : cost 0 6.841 * * [simplify]: Extracting # 2 : cost 0 6.841 * * [simplify]: Extracting # 3 : cost 0 6.842 * * [simplify]: Extracting # 4 : cost 0 6.842 * * [simplify]: Extracting # 5 : cost 0 6.843 * * [simplify]: iteration 1 : 354 enodes (cost 1427 ) 6.955 * * [simplify]: Extracting # 0 : cost 0 6.956 * * [simplify]: Extracting # 1 : cost 0 6.959 * * [simplify]: Extracting # 2 : cost 0 6.968 * * [simplify]: Extracting # 3 : cost 0 6.971 * * [simplify]: Extracting # 4 : cost 0 6.973 * * [simplify]: iteration 2 : 973 enodes (cost 1328 ) 7.456 * * [simplify]: Extracting # 0 : cost 0 7.459 * * [simplify]: Extracting # 1 : cost 0 7.462 * * [simplify]: Extracting # 2 : cost 0 7.465 * * [simplify]: Extracting # 3 : cost 0 7.467 * * [simplify]: Extracting # 4 : cost 0 7.471 * * [simplify]: iteration 3 : 2854 enodes (cost 1135 ) 8.400 * * [simplify]: Extracting # 0 : cost 0 8.412 * * [simplify]: Extracting # 1 : cost 0 8.418 * * [simplify]: Extracting # 2 : cost 0 8.424 * * [simplify]: Extracting # 3 : cost 0 8.430 * * [simplify]: Extracting # 4 : cost 0 8.437 * * [simplify]: Extracting # 5 : cost 0 8.447 * * [simplify]: iteration done: 5001 enodes (cost 1091 ) 8.448 * [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 (+ (* 1.0 (- 1.0 N)) (* N 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 (+ (* 1.0 (- 1.0 N)) (* N 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 (+ (* 1.0 (- 1.0 N)) (* N 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))) 2/3 2 (pow (cbrt (* (+ N 1.0) N)) 6) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) 2 (* 2 (log (cbrt (* (+ N 1.0) N)))) (* 2 (log (cbrt (* (+ N 1.0) N)))) (exp (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (pow (cbrt (* (+ N 1.0) N)) 6) (* (cbrt (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (cbrt (pow (sqrt (cbrt (* (+ N 1.0) N))) 4))) (cbrt (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (pow (cbrt (* (+ N 1.0) N)) 6) (fabs (cbrt (* (+ N 1.0) N))) (fabs (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow N 2/3) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 1 (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 2/3 2 (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (pow (cbrt (cbrt (* (+ N 1.0) N))) (+ 4 1)) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (cbrt (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* 1/6 (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0)))) (cbrt (* N 1.0)))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (* (* (cbrt (/ -1 (pow (/ -1 N) 2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (- (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* 1/6 (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0)))) (cbrt (* N 1.0)))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (* (* (cbrt (/ -1 (pow (/ -1 N) 2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (- (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* 1/6 (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0)))) (cbrt (* N 1.0)))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (* (* (cbrt (/ -1 (pow (/ -1 N) 2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (- (* (cbrt (* 1.0 (* N N))) (+ (* 0.6666666666666666 N) (+ (* 0.5555555555555556 (* N N)) 1))) (* (/ 0.6666666666666666 (/ 1.0 (cbrt 1.0))) (/ (* N N) (/ 1.0 (pow N 2/3))))) (- (+ (* 0.6666666666666666 (cbrt N)) (pow (/ 1 N) -4/3)) (* (cbrt (/ 1 (pow N 2))) 0.1111111111111111)) (+ (* (* 0.6666666666666666 (pow (cbrt -1) 2)) (cbrt N)) (* (pow (cbrt -1) 2) (- (cbrt (pow N 4)) (* (cbrt (/ 1 (pow N 2))) 0.1111111111111111)))) 8.449 * * * [progress]: adding candidates to table 8.754 * * [progress]: iteration 4 / 4 8.754 * * * [progress]: picking best candidate 8.777 * * * * [pick]: Picked # 8.777 * * * [progress]: localizing error 8.804 * * * [progress]: generating rewritten candidates 8.804 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 8.811 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2 1) 8.818 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1 2 1) 8.825 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 1 1) 8.833 * * * [progress]: generating series expansions 8.833 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 8.834 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 8.834 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 8.834 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 8.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 8.834 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 8.834 * [taylor]: Taking taylor expansion of 1/3 in N 8.834 * [backup-simplify]: Simplify 1/3 into 1/3 8.834 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 8.834 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 8.834 * [taylor]: Taking taylor expansion of N in N 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 1 into 1 8.834 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.834 * [taylor]: Taking taylor expansion of N in N 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 1 into 1 8.834 * [taylor]: Taking taylor expansion of 1.0 in N 8.834 * [backup-simplify]: Simplify 1.0 into 1.0 8.834 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.835 * [backup-simplify]: Simplify (* 0 1.0) into 0 8.835 * [backup-simplify]: Simplify (+ 1 0) into 1 8.836 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 8.836 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.837 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.837 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.837 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.837 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 8.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 8.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 8.837 * [taylor]: Taking taylor expansion of 1/3 in N 8.837 * [backup-simplify]: Simplify 1/3 into 1/3 8.837 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 8.837 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 8.837 * [taylor]: Taking taylor expansion of N in N 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 1 into 1 8.837 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.837 * [taylor]: Taking taylor expansion of N in N 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 1 into 1 8.838 * [taylor]: Taking taylor expansion of 1.0 in N 8.838 * [backup-simplify]: Simplify 1.0 into 1.0 8.838 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.838 * [backup-simplify]: Simplify (* 0 1.0) into 0 8.838 * [backup-simplify]: Simplify (+ 1 0) into 1 8.839 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 8.840 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.840 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.840 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.841 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.841 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.841 * [backup-simplify]: Simplify (+ 0 0) into 0 8.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 8.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.852 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.853 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 8.855 * [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))))) 8.855 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.855 * [backup-simplify]: Simplify (+ 0 0) into 0 8.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 8.862 * [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)) 8.863 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.865 * [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)))) 8.871 * [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))))) 8.873 * [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))))) 8.876 * [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)))) 8.876 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 8.876 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 8.876 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 8.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 8.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 8.876 * [taylor]: Taking taylor expansion of 1/3 in N 8.876 * [backup-simplify]: Simplify 1/3 into 1/3 8.876 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 8.876 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.876 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.876 * [taylor]: Taking taylor expansion of N in N 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 1 into 1 8.877 * [backup-simplify]: Simplify (/ 1 1) into 1 8.877 * [taylor]: Taking taylor expansion of 1.0 in N 8.877 * [backup-simplify]: Simplify 1.0 into 1.0 8.877 * [taylor]: Taking taylor expansion of N in N 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 1 into 1 8.877 * [backup-simplify]: Simplify (+ 1 0) into 1 8.877 * [backup-simplify]: Simplify (/ 1 1) into 1 8.878 * [backup-simplify]: Simplify (log 1) into 0 8.878 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.878 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.878 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.878 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 8.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 8.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 8.878 * [taylor]: Taking taylor expansion of 1/3 in N 8.878 * [backup-simplify]: Simplify 1/3 into 1/3 8.878 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 8.878 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.878 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.878 * [taylor]: Taking taylor expansion of N in N 8.878 * [backup-simplify]: Simplify 0 into 0 8.878 * [backup-simplify]: Simplify 1 into 1 8.879 * [backup-simplify]: Simplify (/ 1 1) into 1 8.879 * [taylor]: Taking taylor expansion of 1.0 in N 8.879 * [backup-simplify]: Simplify 1.0 into 1.0 8.879 * [taylor]: Taking taylor expansion of N in N 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify 1 into 1 8.879 * [backup-simplify]: Simplify (+ 1 0) into 1 8.879 * [backup-simplify]: Simplify (/ 1 1) into 1 8.879 * [backup-simplify]: Simplify (log 1) into 0 8.880 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.880 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.880 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.880 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.881 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.882 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 8.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.886 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.886 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 8.888 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 8.888 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 8.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.895 * [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 8.896 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.896 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 8.899 * [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)) 8.900 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 8.900 * [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))) 8.900 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 8.900 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 8.900 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 8.901 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.901 * [taylor]: Taking taylor expansion of -1 in N 8.901 * [backup-simplify]: Simplify -1 into -1 8.901 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.901 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.901 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 8.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 8.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 8.901 * [taylor]: Taking taylor expansion of 1/3 in N 8.901 * [backup-simplify]: Simplify 1/3 into 1/3 8.901 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 8.901 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.901 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.902 * [taylor]: Taking taylor expansion of 1.0 in N 8.902 * [backup-simplify]: Simplify 1.0 into 1.0 8.902 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.902 * [taylor]: Taking taylor expansion of N in N 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify (/ 1 1) into 1 8.902 * [taylor]: Taking taylor expansion of N in N 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify (- 1) into -1 8.902 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.903 * [backup-simplify]: Simplify (/ -1 1) into -1 8.903 * [backup-simplify]: Simplify (log -1) into (log -1) 8.903 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.904 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.904 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.904 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 8.904 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.904 * [taylor]: Taking taylor expansion of -1 in N 8.904 * [backup-simplify]: Simplify -1 into -1 8.904 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.905 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.905 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 8.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 8.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 8.905 * [taylor]: Taking taylor expansion of 1/3 in N 8.905 * [backup-simplify]: Simplify 1/3 into 1/3 8.905 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 8.905 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.905 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.905 * [taylor]: Taking taylor expansion of 1.0 in N 8.905 * [backup-simplify]: Simplify 1.0 into 1.0 8.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.905 * [taylor]: Taking taylor expansion of N in N 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.905 * [backup-simplify]: Simplify (/ 1 1) into 1 8.905 * [taylor]: Taking taylor expansion of N in N 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.906 * [backup-simplify]: Simplify (- 1) into -1 8.906 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.906 * [backup-simplify]: Simplify (/ -1 1) into -1 8.906 * [backup-simplify]: Simplify (log -1) into (log -1) 8.907 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.908 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.908 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.909 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.909 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.910 * [backup-simplify]: Simplify (- 0) into 0 8.910 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.911 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 8.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 8.916 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.917 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 8.919 * [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)))))) 8.920 * [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)))))))) 8.921 * [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)))))))) 8.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (- 0) into 0 8.922 * [backup-simplify]: Simplify (+ 0 0) into 0 8.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.929 * [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 8.929 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.930 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 8.937 * [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)))))) 8.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.949 * [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)))))))) 8.950 * [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)))))))) 8.955 * [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)))) 8.955 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2 1) 8.955 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 8.955 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 8.955 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 8.955 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 8.955 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 8.955 * [taylor]: Taking taylor expansion of 1/3 in N 8.955 * [backup-simplify]: Simplify 1/3 into 1/3 8.955 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 8.955 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 8.955 * [taylor]: Taking taylor expansion of N in N 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.955 * [taylor]: Taking taylor expansion of N in N 8.955 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify 1 into 1 8.956 * [taylor]: Taking taylor expansion of 1.0 in N 8.956 * [backup-simplify]: Simplify 1.0 into 1.0 8.956 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.957 * [backup-simplify]: Simplify (* 0 1.0) into 0 8.957 * [backup-simplify]: Simplify (+ 1 0) into 1 8.959 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 8.959 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.960 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.961 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.961 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.961 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 8.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 8.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 8.961 * [taylor]: Taking taylor expansion of 1/3 in N 8.961 * [backup-simplify]: Simplify 1/3 into 1/3 8.961 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 8.961 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 8.961 * [taylor]: Taking taylor expansion of N in N 8.961 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 1 into 1 8.962 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.962 * [taylor]: Taking taylor expansion of N in N 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 1 into 1 8.962 * [taylor]: Taking taylor expansion of 1.0 in N 8.962 * [backup-simplify]: Simplify 1.0 into 1.0 8.962 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.963 * [backup-simplify]: Simplify (* 0 1.0) into 0 8.963 * [backup-simplify]: Simplify (+ 1 0) into 1 8.965 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 8.965 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.966 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.966 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.967 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.968 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.968 * [backup-simplify]: Simplify (+ 0 0) into 0 8.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 8.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.976 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.977 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 8.980 * [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))))) 8.980 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.981 * [backup-simplify]: Simplify (+ 0 0) into 0 8.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 8.990 * [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)) 8.992 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.994 * [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)))) 9.000 * [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))))) 9.002 * [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))))) 9.005 * [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)))) 9.005 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 9.005 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 9.006 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 9.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 9.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 9.006 * [taylor]: Taking taylor expansion of 1/3 in N 9.006 * [backup-simplify]: Simplify 1/3 into 1/3 9.006 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 9.006 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 9.006 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.006 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.006 * [taylor]: Taking taylor expansion of N in N 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (/ 1 1) into 1 9.006 * [taylor]: Taking taylor expansion of 1.0 in N 9.006 * [backup-simplify]: Simplify 1.0 into 1.0 9.006 * [taylor]: Taking taylor expansion of N in N 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (+ 1 0) into 1 9.007 * [backup-simplify]: Simplify (/ 1 1) into 1 9.007 * [backup-simplify]: Simplify (log 1) into 0 9.007 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.007 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.007 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.007 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 9.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 9.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 9.007 * [taylor]: Taking taylor expansion of 1/3 in N 9.007 * [backup-simplify]: Simplify 1/3 into 1/3 9.007 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 9.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 9.007 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.007 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.007 * [taylor]: Taking taylor expansion of N in N 9.007 * [backup-simplify]: Simplify 0 into 0 9.007 * [backup-simplify]: Simplify 1 into 1 9.008 * [backup-simplify]: Simplify (/ 1 1) into 1 9.008 * [taylor]: Taking taylor expansion of 1.0 in N 9.008 * [backup-simplify]: Simplify 1.0 into 1.0 9.008 * [taylor]: Taking taylor expansion of N in N 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [backup-simplify]: Simplify (+ 1 0) into 1 9.008 * [backup-simplify]: Simplify (/ 1 1) into 1 9.009 * [backup-simplify]: Simplify (log 1) into 0 9.009 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.009 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.009 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.009 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 9.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.010 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.011 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 9.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.015 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.015 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 9.017 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 9.017 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 9.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (+ 0 0) into 0 9.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 9.031 * [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 9.031 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.032 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 9.036 * [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)) 9.036 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 9.037 * [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))) 9.037 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 9.037 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 9.037 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 9.037 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.037 * [taylor]: Taking taylor expansion of -1 in N 9.037 * [backup-simplify]: Simplify -1 into -1 9.038 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.038 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.038 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 9.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 9.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 9.038 * [taylor]: Taking taylor expansion of 1/3 in N 9.038 * [backup-simplify]: Simplify 1/3 into 1/3 9.038 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 9.038 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 9.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.038 * [taylor]: Taking taylor expansion of 1.0 in N 9.038 * [backup-simplify]: Simplify 1.0 into 1.0 9.038 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.038 * [taylor]: Taking taylor expansion of N in N 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.039 * [backup-simplify]: Simplify (/ 1 1) into 1 9.039 * [taylor]: Taking taylor expansion of N in N 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify 1 into 1 9.039 * [backup-simplify]: Simplify (- 1) into -1 9.039 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.039 * [backup-simplify]: Simplify (/ -1 1) into -1 9.040 * [backup-simplify]: Simplify (log -1) into (log -1) 9.040 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.040 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 9.041 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 9.041 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 9.041 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.041 * [taylor]: Taking taylor expansion of -1 in N 9.041 * [backup-simplify]: Simplify -1 into -1 9.041 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.042 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.042 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 9.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 9.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 9.042 * [taylor]: Taking taylor expansion of 1/3 in N 9.042 * [backup-simplify]: Simplify 1/3 into 1/3 9.042 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 9.042 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 9.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.042 * [taylor]: Taking taylor expansion of 1.0 in N 9.042 * [backup-simplify]: Simplify 1.0 into 1.0 9.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.042 * [taylor]: Taking taylor expansion of N in N 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.042 * [backup-simplify]: Simplify (/ 1 1) into 1 9.042 * [taylor]: Taking taylor expansion of N in N 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.042 * [backup-simplify]: Simplify (- 1) into -1 9.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.043 * [backup-simplify]: Simplify (/ -1 1) into -1 9.043 * [backup-simplify]: Simplify (log -1) into (log -1) 9.044 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.044 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 9.044 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 9.045 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 9.045 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 9.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (- 0) into 0 9.046 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.048 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 9.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 9.052 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.053 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 9.055 * [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)))))) 9.056 * [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)))))))) 9.057 * [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)))))))) 9.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.057 * [backup-simplify]: Simplify (- 0) into 0 9.058 * [backup-simplify]: Simplify (+ 0 0) into 0 9.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 9.071 * [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 9.072 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.073 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 9.076 * [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)))))) 9.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.079 * [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)))))))) 9.079 * [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)))))))) 9.082 * [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)))) 9.082 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1 2 1) 9.082 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 9.082 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 9.082 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 9.083 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 9.083 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 9.083 * [taylor]: Taking taylor expansion of 1/3 in N 9.083 * [backup-simplify]: Simplify 1/3 into 1/3 9.083 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 9.083 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 9.083 * [taylor]: Taking taylor expansion of N in N 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 1 into 1 9.083 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.083 * [taylor]: Taking taylor expansion of N in N 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 1 into 1 9.083 * [taylor]: Taking taylor expansion of 1.0 in N 9.083 * [backup-simplify]: Simplify 1.0 into 1.0 9.083 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.083 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.084 * [backup-simplify]: Simplify (+ 1 0) into 1 9.085 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 9.085 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.085 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.086 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.086 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.086 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 9.086 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 9.086 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 9.086 * [taylor]: Taking taylor expansion of 1/3 in N 9.086 * [backup-simplify]: Simplify 1/3 into 1/3 9.086 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 9.086 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 9.086 * [taylor]: Taking taylor expansion of N in N 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 1 into 1 9.086 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.086 * [taylor]: Taking taylor expansion of N in N 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 1 into 1 9.086 * [taylor]: Taking taylor expansion of 1.0 in N 9.086 * [backup-simplify]: Simplify 1.0 into 1.0 9.087 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.087 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.087 * [backup-simplify]: Simplify (+ 1 0) into 1 9.088 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 9.088 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.089 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.089 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.090 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.090 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.090 * [backup-simplify]: Simplify (+ 0 0) into 0 9.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 9.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.094 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.095 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 9.097 * [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))))) 9.097 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.097 * [backup-simplify]: Simplify (+ 0 0) into 0 9.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 9.106 * [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)) 9.107 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.111 * [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)))) 9.123 * [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))))) 9.126 * [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))))) 9.129 * [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)))) 9.129 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 9.129 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 9.129 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 9.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 9.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 9.129 * [taylor]: Taking taylor expansion of 1/3 in N 9.129 * [backup-simplify]: Simplify 1/3 into 1/3 9.129 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 9.129 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 9.130 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.130 * [taylor]: Taking taylor expansion of N in N 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify (/ 1 1) into 1 9.130 * [taylor]: Taking taylor expansion of 1.0 in N 9.130 * [backup-simplify]: Simplify 1.0 into 1.0 9.130 * [taylor]: Taking taylor expansion of N in N 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify (+ 1 0) into 1 9.130 * [backup-simplify]: Simplify (/ 1 1) into 1 9.131 * [backup-simplify]: Simplify (log 1) into 0 9.131 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.131 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.131 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.131 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 9.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 9.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 9.131 * [taylor]: Taking taylor expansion of 1/3 in N 9.131 * [backup-simplify]: Simplify 1/3 into 1/3 9.131 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 9.131 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 9.131 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.131 * [taylor]: Taking taylor expansion of N in N 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (/ 1 1) into 1 9.132 * [taylor]: Taking taylor expansion of 1.0 in N 9.132 * [backup-simplify]: Simplify 1.0 into 1.0 9.132 * [taylor]: Taking taylor expansion of N in N 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (+ 1 0) into 1 9.132 * [backup-simplify]: Simplify (/ 1 1) into 1 9.132 * [backup-simplify]: Simplify (log 1) into 0 9.133 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.133 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.133 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.133 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 9.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.134 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.135 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 9.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.139 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.139 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 9.141 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 9.141 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 9.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.142 * [backup-simplify]: Simplify (+ 0 0) into 0 9.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 9.148 * [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 9.149 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.149 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 9.154 * [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)) 9.154 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 9.155 * [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))) 9.156 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 9.156 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 9.156 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 9.156 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.156 * [taylor]: Taking taylor expansion of -1 in N 9.156 * [backup-simplify]: Simplify -1 into -1 9.156 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.157 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.157 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 9.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 9.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 9.157 * [taylor]: Taking taylor expansion of 1/3 in N 9.157 * [backup-simplify]: Simplify 1/3 into 1/3 9.157 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 9.157 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 9.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.157 * [taylor]: Taking taylor expansion of 1.0 in N 9.157 * [backup-simplify]: Simplify 1.0 into 1.0 9.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.157 * [taylor]: Taking taylor expansion of N in N 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.158 * [backup-simplify]: Simplify (/ 1 1) into 1 9.158 * [taylor]: Taking taylor expansion of N in N 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify 1 into 1 9.158 * [backup-simplify]: Simplify (- 1) into -1 9.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.159 * [backup-simplify]: Simplify (/ -1 1) into -1 9.160 * [backup-simplify]: Simplify (log -1) into (log -1) 9.160 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.161 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 9.161 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 9.161 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 9.162 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.162 * [taylor]: Taking taylor expansion of -1 in N 9.162 * [backup-simplify]: Simplify -1 into -1 9.162 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.163 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.163 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 9.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 9.163 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 9.163 * [taylor]: Taking taylor expansion of 1/3 in N 9.163 * [backup-simplify]: Simplify 1/3 into 1/3 9.163 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 9.163 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 9.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.163 * [taylor]: Taking taylor expansion of 1.0 in N 9.163 * [backup-simplify]: Simplify 1.0 into 1.0 9.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.163 * [taylor]: Taking taylor expansion of N in N 9.163 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify 1 into 1 9.163 * [backup-simplify]: Simplify (/ 1 1) into 1 9.163 * [taylor]: Taking taylor expansion of N in N 9.163 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify 1 into 1 9.164 * [backup-simplify]: Simplify (- 1) into -1 9.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.165 * [backup-simplify]: Simplify (/ -1 1) into -1 9.165 * [backup-simplify]: Simplify (log -1) into (log -1) 9.166 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.166 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 9.167 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 9.168 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 9.179 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 9.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.180 * [backup-simplify]: Simplify (- 0) into 0 9.181 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.183 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 9.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 9.187 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.188 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 9.190 * [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)))))) 9.191 * [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)))))))) 9.192 * [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)))))))) 9.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.193 * [backup-simplify]: Simplify (- 0) into 0 9.193 * [backup-simplify]: Simplify (+ 0 0) into 0 9.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 9.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 9.201 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.202 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 9.206 * [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)))))) 9.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.210 * [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)))))))) 9.211 * [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)))))))) 9.214 * [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)))) 9.214 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1 1 1) 9.214 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 9.215 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 9.215 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 9.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 9.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 9.215 * [taylor]: Taking taylor expansion of 1/3 in N 9.215 * [backup-simplify]: Simplify 1/3 into 1/3 9.215 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 9.215 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 9.215 * [taylor]: Taking taylor expansion of N in N 9.215 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify 1 into 1 9.215 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.215 * [taylor]: Taking taylor expansion of N in N 9.215 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify 1 into 1 9.215 * [taylor]: Taking taylor expansion of 1.0 in N 9.215 * [backup-simplify]: Simplify 1.0 into 1.0 9.215 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.215 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.216 * [backup-simplify]: Simplify (+ 1 0) into 1 9.217 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 9.217 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.218 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.218 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.218 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.218 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 9.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 9.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 9.218 * [taylor]: Taking taylor expansion of 1/3 in N 9.218 * [backup-simplify]: Simplify 1/3 into 1/3 9.218 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 9.218 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 9.218 * [taylor]: Taking taylor expansion of N in N 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify 1 into 1 9.218 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.219 * [taylor]: Taking taylor expansion of N in N 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [taylor]: Taking taylor expansion of 1.0 in N 9.219 * [backup-simplify]: Simplify 1.0 into 1.0 9.219 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.219 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.219 * [backup-simplify]: Simplify (+ 1 0) into 1 9.220 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 9.221 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.221 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.222 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.222 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.222 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.223 * [backup-simplify]: Simplify (+ 0 0) into 0 9.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 9.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.227 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.228 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 9.230 * [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))))) 9.230 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.230 * [backup-simplify]: Simplify (+ 0 0) into 0 9.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 9.237 * [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)) 9.237 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.239 * [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)))) 9.245 * [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))))) 9.248 * [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))))) 9.251 * [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)))) 9.251 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 9.251 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 9.251 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 9.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 9.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 9.251 * [taylor]: Taking taylor expansion of 1/3 in N 9.251 * [backup-simplify]: Simplify 1/3 into 1/3 9.251 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 9.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 9.251 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.251 * [taylor]: Taking taylor expansion of N in N 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify 1 into 1 9.251 * [backup-simplify]: Simplify (/ 1 1) into 1 9.251 * [taylor]: Taking taylor expansion of 1.0 in N 9.251 * [backup-simplify]: Simplify 1.0 into 1.0 9.251 * [taylor]: Taking taylor expansion of N in N 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify 1 into 1 9.252 * [backup-simplify]: Simplify (+ 1 0) into 1 9.252 * [backup-simplify]: Simplify (/ 1 1) into 1 9.252 * [backup-simplify]: Simplify (log 1) into 0 9.253 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.253 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.253 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.253 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 9.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 9.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 9.253 * [taylor]: Taking taylor expansion of 1/3 in N 9.253 * [backup-simplify]: Simplify 1/3 into 1/3 9.253 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 9.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 9.253 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.253 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.253 * [taylor]: Taking taylor expansion of N in N 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.253 * [backup-simplify]: Simplify (/ 1 1) into 1 9.253 * [taylor]: Taking taylor expansion of 1.0 in N 9.253 * [backup-simplify]: Simplify 1.0 into 1.0 9.253 * [taylor]: Taking taylor expansion of N in N 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (+ 1 0) into 1 9.254 * [backup-simplify]: Simplify (/ 1 1) into 1 9.254 * [backup-simplify]: Simplify (log 1) into 0 9.255 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.255 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 9.255 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 9.255 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 9.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.257 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.258 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 9.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.262 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.263 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 9.264 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 9.264 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 9.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.265 * [backup-simplify]: Simplify (+ 0 0) into 0 9.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 9.281 * [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 9.281 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 9.282 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 9.285 * [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)) 9.285 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 9.286 * [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))) 9.286 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 9.286 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 9.286 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 9.286 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.286 * [taylor]: Taking taylor expansion of -1 in N 9.286 * [backup-simplify]: Simplify -1 into -1 9.286 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.287 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.287 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 9.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 9.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 9.287 * [taylor]: Taking taylor expansion of 1/3 in N 9.287 * [backup-simplify]: Simplify 1/3 into 1/3 9.287 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 9.287 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 9.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.287 * [taylor]: Taking taylor expansion of 1.0 in N 9.287 * [backup-simplify]: Simplify 1.0 into 1.0 9.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.287 * [taylor]: Taking taylor expansion of N in N 9.287 * [backup-simplify]: Simplify 0 into 0 9.287 * [backup-simplify]: Simplify 1 into 1 9.287 * [backup-simplify]: Simplify (/ 1 1) into 1 9.287 * [taylor]: Taking taylor expansion of N in N 9.287 * [backup-simplify]: Simplify 0 into 0 9.287 * [backup-simplify]: Simplify 1 into 1 9.288 * [backup-simplify]: Simplify (- 1) into -1 9.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.288 * [backup-simplify]: Simplify (/ -1 1) into -1 9.288 * [backup-simplify]: Simplify (log -1) into (log -1) 9.289 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.289 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 9.289 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 9.289 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 9.289 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.290 * [taylor]: Taking taylor expansion of -1 in N 9.290 * [backup-simplify]: Simplify -1 into -1 9.290 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.290 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.290 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 9.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 9.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 9.290 * [taylor]: Taking taylor expansion of 1/3 in N 9.290 * [backup-simplify]: Simplify 1/3 into 1/3 9.290 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 9.290 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 9.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.290 * [taylor]: Taking taylor expansion of 1.0 in N 9.290 * [backup-simplify]: Simplify 1.0 into 1.0 9.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.290 * [taylor]: Taking taylor expansion of N in N 9.290 * [backup-simplify]: Simplify 0 into 0 9.291 * [backup-simplify]: Simplify 1 into 1 9.291 * [backup-simplify]: Simplify (/ 1 1) into 1 9.291 * [taylor]: Taking taylor expansion of N in N 9.291 * [backup-simplify]: Simplify 0 into 0 9.291 * [backup-simplify]: Simplify 1 into 1 9.291 * [backup-simplify]: Simplify (- 1) into -1 9.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.292 * [backup-simplify]: Simplify (/ -1 1) into -1 9.292 * [backup-simplify]: Simplify (log -1) into (log -1) 9.292 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.293 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 9.293 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 9.294 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 9.294 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 9.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.295 * [backup-simplify]: Simplify (- 0) into 0 9.296 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.298 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 9.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 9.304 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.305 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 9.307 * [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)))))) 9.308 * [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)))))))) 9.308 * [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)))))))) 9.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.309 * [backup-simplify]: Simplify (- 0) into 0 9.309 * [backup-simplify]: Simplify (+ 0 0) into 0 9.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 9.316 * [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 9.317 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 9.317 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 9.321 * [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)))))) 9.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.323 * [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)))))))) 9.324 * [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)))))))) 9.326 * [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)))) 9.327 * * * [progress]: simplifying candidates 9.328 * [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 (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))) (- (+ (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)))) (- (+ (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)))) 9.329 * * [simplify]: Extracting # 0 : cost 0 9.329 * * [simplify]: Extracting # 1 : cost 0 9.329 * * [simplify]: Extracting # 2 : cost 0 9.329 * * [simplify]: Extracting # 3 : cost 0 9.330 * * [simplify]: Extracting # 4 : cost 0 9.330 * * [simplify]: Extracting # 5 : cost 0 9.330 * * [simplify]: Extracting # 6 : cost 0 9.330 * * [simplify]: Extracting # 7 : cost 0 9.330 * * [simplify]: Extracting # 8 : cost 0 9.330 * * [simplify]: Extracting # 9 : cost 0 9.330 * * [simplify]: Extracting # 10 : cost 0 9.330 * * [simplify]: Extracting # 11 : cost 0 9.330 * * [simplify]: Extracting # 12 : cost 0 9.331 * * [simplify]: iteration 0 : 82 enodes (cost 988 ) 9.348 * * [simplify]: Extracting # 0 : cost 0 9.348 * * [simplify]: Extracting # 1 : cost 0 9.349 * * [simplify]: Extracting # 2 : cost 0 9.349 * * [simplify]: Extracting # 3 : cost 0 9.349 * * [simplify]: Extracting # 4 : cost 0 9.349 * * [simplify]: iteration 1 : 192 enodes (cost 972 ) 9.417 * * [simplify]: Extracting # 0 : cost 0 9.417 * * [simplify]: Extracting # 1 : cost 0 9.418 * * [simplify]: Extracting # 2 : cost 0 9.419 * * [simplify]: Extracting # 3 : cost 0 9.420 * * [simplify]: Extracting # 4 : cost 0 9.421 * * [simplify]: iteration 2 : 460 enodes (cost 924 ) 9.580 * * [simplify]: Extracting # 0 : cost 0 9.583 * * [simplify]: Extracting # 1 : cost 0 9.586 * * [simplify]: Extracting # 2 : cost 0 9.589 * * [simplify]: Extracting # 3 : cost 0 9.592 * * [simplify]: Extracting # 4 : cost 0 9.595 * * [simplify]: iteration 3 : 1259 enodes (cost 784 ) 10.548 * * [simplify]: Extracting # 0 : cost 0 10.554 * * [simplify]: Extracting # 1 : cost 0 10.560 * * [simplify]: Extracting # 2 : cost 0 10.569 * * [simplify]: Extracting # 3 : cost 0 10.584 * * [simplify]: Extracting # 4 : cost 0 10.595 * * [simplify]: iteration 4 : 4444 enodes (cost 696 ) 11.874 * * [simplify]: Extracting # 0 : cost 0 11.880 * * [simplify]: Extracting # 1 : cost 0 11.885 * * [simplify]: Extracting # 2 : cost 0 11.891 * * [simplify]: iteration done: 5000 enodes (cost 696 ) 11.891 * [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 (+ (* 1.0 (- 1.0 N)) (* N 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 (+ (* 1.0 (- 1.0 N)) (* N 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 (+ (* 1.0 (- 1.0 N)) (* N 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 (+ (* 1.0 (- 1.0 N)) (* N 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))) (+ (* (* N (* (cbrt (* N 1.0)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0)))) (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) 1))) (+ (pow (/ 1 N) -2/3) (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (/ (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1))) (+ (* (* N (* (cbrt (* N 1.0)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0)))) (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) 1))) (+ (pow (/ 1 N) -2/3) (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (/ (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1))) (+ (* (* N (* (cbrt (* N 1.0)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0)))) (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) 1))) (+ (pow (/ 1 N) -2/3) (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (/ (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1))) (+ (* (* N (* (cbrt (* N 1.0)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0)))) (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) 1))) (+ (pow (/ 1 N) -2/3) (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (/ (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (/ N (cbrt (* -1 (pow (/ -1 N) -2))))) (* (cbrt (* -1 (pow (/ -1 N) -2))) (cbrt -1))) 11.892 * * * [progress]: adding candidates to table 12.228 * [progress]: [Phase 3 of 3] Extracting. 12.228 * * [regime]: Finding splitpoints for: (# # # # # # #) 12.229 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.229 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 12.252 * * * [regime]: Found split indices: #