19.596 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: Extracting # 3 : cost 0 0.047 * * [simplify]: Extracting # 4 : cost 0 0.047 * * [simplify]: Extracting # 5 : cost 0 0.047 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: Extracting # 1 : cost 0 0.048 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.054 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.054 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.089 * * * [progress]: generating series expansions 0.089 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.089 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.089 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.089 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.106 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.106 * [taylor]: Taking taylor expansion of (atan N) in N 0.106 * [backup-simplify]: Simplify (atan N) into (atan N) 0.106 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.106 * [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)) 0.107 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [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 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.113 * [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 0.114 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.114 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.114 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.114 * [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))) 0.116 * [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 0.118 * [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 (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.121 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.121 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.121 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.121 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.121 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.121 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.121 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.121 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.121 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.121 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.121 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.121 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.122 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.122 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.122 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 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 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.128 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.128 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.128 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.128 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.128 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.128 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.128 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.128 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.129 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.129 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.129 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.130 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.130 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.130 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.130 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.130 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.130 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.130 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.131 * * * [progress]: simplifying candidates 0.132 * [simplify]: Simplifying: (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.133 * * [simplify]: Extracting # 0 : cost 0 0.133 * * [simplify]: Extracting # 1 : cost 0 0.133 * * [simplify]: Extracting # 2 : cost 0 0.134 * * [simplify]: Extracting # 3 : cost 0 0.134 * * [simplify]: Extracting # 4 : cost 0 0.134 * * [simplify]: Extracting # 5 : cost 0 0.134 * * [simplify]: Extracting # 6 : cost 0 0.134 * * [simplify]: iteration 0 : 40 enodes (cost 271 ) 0.150 * * [simplify]: Extracting # 0 : cost 0 0.150 * * [simplify]: Extracting # 1 : cost 0 0.150 * * [simplify]: Extracting # 2 : cost 0 0.150 * * [simplify]: Extracting # 3 : cost 0 0.151 * * [simplify]: Extracting # 4 : cost 0 0.151 * * [simplify]: iteration 1 : 76 enodes (cost 259 ) 0.179 * * [simplify]: Extracting # 0 : cost 0 0.179 * * [simplify]: Extracting # 1 : cost 0 0.179 * * [simplify]: Extracting # 2 : cost 0 0.180 * * [simplify]: Extracting # 3 : cost 0 0.180 * * [simplify]: iteration 2 : 145 enodes (cost 245 ) 0.223 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: Extracting # 1 : cost 0 0.224 * * [simplify]: Extracting # 2 : cost 0 0.224 * * [simplify]: Extracting # 3 : cost 0 0.224 * * [simplify]: iteration 3 : 270 enodes (cost 241 ) 0.296 * * [simplify]: Extracting # 0 : cost 0 0.297 * * [simplify]: Extracting # 1 : cost 0 0.297 * * [simplify]: Extracting # 2 : cost 0 0.298 * * [simplify]: Extracting # 3 : cost 0 0.298 * * [simplify]: Extracting # 4 : cost 0 0.299 * * [simplify]: iteration 4 : 534 enodes (cost 239 ) 0.620 * * [simplify]: Extracting # 0 : cost 0 0.623 * * [simplify]: Extracting # 1 : cost 0 0.625 * * [simplify]: Extracting # 2 : cost 0 0.628 * * [simplify]: Extracting # 3 : cost 0 0.631 * * [simplify]: Extracting # 4 : cost 0 0.633 * * [simplify]: iteration 5 : 1497 enodes (cost 239 ) 2.088 * * [simplify]: Extracting # 0 : cost 0 2.096 * * [simplify]: Extracting # 1 : cost 0 2.107 * * [simplify]: Extracting # 2 : cost 0 2.112 * * [simplify]: Extracting # 3 : cost 0 2.116 * * [simplify]: Extracting # 4 : cost 0 2.121 * * [simplify]: iteration done: 5000 enodes (cost 239 ) 2.121 * [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 1.0)) (atan N)) (atan (+ N 1.0))) (* (atan N) (atan N))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 2.122 * * * [progress]: adding candidates to table 2.195 * * [progress]: iteration 2 / 4 2.195 * * * [progress]: picking best candidate 2.198 * * * * [pick]: Picked # 2.198 * * * [progress]: localizing error 2.205 * * * [progress]: generating rewritten candidates 2.205 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.206 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.231 * * * [progress]: generating series expansions 2.231 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.231 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.231 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.231 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.231 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.231 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.231 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.232 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.232 * [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))) 2.232 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.232 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.232 * [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))) 2.232 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.233 * [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))) 2.233 * [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))) 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [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))) 2.233 * [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)))) 2.233 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.233 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.234 * [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)))) 2.234 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.234 * [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)))) 2.234 * [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)))) 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [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))) 2.234 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.234 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.235 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.235 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [taylor]: Taking taylor expansion of 1.0 in N 2.235 * [backup-simplify]: Simplify 1.0 into 1.0 2.235 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [taylor]: Taking taylor expansion of 1.0 in N 2.235 * [backup-simplify]: Simplify 1.0 into 1.0 2.235 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.236 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (+ 1 0) into 1 2.237 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.237 * [backup-simplify]: Simplify 1.0 into 1.0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 2.246 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.246 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.246 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.246 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.246 * [taylor]: Taking taylor expansion of N in N 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (/ 1 1) into 1 2.246 * [taylor]: Taking taylor expansion of 1.0 in N 2.246 * [backup-simplify]: Simplify 1.0 into 1.0 2.246 * [taylor]: Taking taylor expansion of N in N 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (+ 1 0) into 1 2.247 * [backup-simplify]: Simplify (/ 1 1) into 1 2.247 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.247 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.247 * [taylor]: Taking taylor expansion of N in N 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [backup-simplify]: Simplify (/ 1 1) into 1 2.247 * [taylor]: Taking taylor expansion of 1.0 in N 2.247 * [backup-simplify]: Simplify 1.0 into 1.0 2.247 * [taylor]: Taking taylor expansion of N in N 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [backup-simplify]: Simplify (+ 1 0) into 1 2.247 * [backup-simplify]: Simplify (/ 1 1) into 1 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.249 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.249 * [backup-simplify]: Simplify 1.0 into 1.0 2.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.261 * [backup-simplify]: Simplify (+ 0 0) into 0 2.263 * [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 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [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 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [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 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 2.266 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.266 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.266 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.266 * [taylor]: Taking taylor expansion of -1 in N 2.266 * [backup-simplify]: Simplify -1 into -1 2.266 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.266 * [taylor]: Taking taylor expansion of 1.0 in N 2.266 * [backup-simplify]: Simplify 1.0 into 1.0 2.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (- 1) into -1 2.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.268 * [backup-simplify]: Simplify (/ -1 1) into -1 2.268 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.268 * [taylor]: Taking taylor expansion of -1 in N 2.268 * [backup-simplify]: Simplify -1 into -1 2.268 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.268 * [taylor]: Taking taylor expansion of 1.0 in N 2.268 * [backup-simplify]: Simplify 1.0 into 1.0 2.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.268 * [taylor]: Taking taylor expansion of N in N 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (/ 1 1) into 1 2.268 * [taylor]: Taking taylor expansion of N in N 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (- 1) into -1 2.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.270 * [backup-simplify]: Simplify (/ -1 1) into -1 2.270 * [backup-simplify]: Simplify (* -1 -1) into 1 2.270 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (- 0) into 0 2.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.273 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.275 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.275 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (- 0) into 0 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (- 0) into 0 2.282 * [backup-simplify]: Simplify (+ 0 0) into 0 2.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (- 0) into 0 2.285 * [backup-simplify]: Simplify (+ 0 0) into 0 2.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (- 0) into 0 2.287 * [backup-simplify]: Simplify (+ 0 0) into 0 2.288 * [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 2.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.290 * [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 2.290 * [backup-simplify]: Simplify (- 0) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.291 * [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 2.292 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 2.293 * * * [progress]: simplifying candidates 2.294 * [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)) 2.294 * * [simplify]: Extracting # 0 : cost 0 2.294 * * [simplify]: Extracting # 1 : cost 0 2.294 * * [simplify]: Extracting # 2 : cost 0 2.294 * * [simplify]: Extracting # 3 : cost 0 2.294 * * [simplify]: Extracting # 4 : cost 0 2.295 * * [simplify]: Extracting # 5 : cost 0 2.295 * * [simplify]: Extracting # 6 : cost 0 2.295 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 2.306 * * [simplify]: Extracting # 0 : cost 0 2.307 * * [simplify]: Extracting # 1 : cost 0 2.307 * * [simplify]: Extracting # 2 : cost 0 2.307 * * [simplify]: Extracting # 3 : cost 0 2.307 * * [simplify]: Extracting # 4 : cost 0 2.307 * * [simplify]: iteration 1 : 120 enodes (cost 312 ) 2.382 * * [simplify]: Extracting # 0 : cost 0 2.382 * * [simplify]: Extracting # 1 : cost 0 2.383 * * [simplify]: Extracting # 2 : cost 0 2.383 * * [simplify]: Extracting # 3 : cost 0 2.383 * * [simplify]: Extracting # 4 : cost 0 2.383 * * [simplify]: iteration 2 : 356 enodes (cost 264 ) 2.690 * * [simplify]: Extracting # 0 : cost 0 2.692 * * [simplify]: Extracting # 1 : cost 0 2.694 * * [simplify]: Extracting # 2 : cost 0 2.696 * * [simplify]: Extracting # 3 : cost 0 2.697 * * [simplify]: Extracting # 4 : cost 0 2.699 * * [simplify]: iteration 3 : 1001 enodes (cost 264 ) 5.081 * * [simplify]: Extracting # 0 : cost 0 5.084 * * [simplify]: Extracting # 1 : cost 0 5.087 * * [simplify]: Extracting # 2 : cost 0 5.090 * * [simplify]: Extracting # 3 : cost 0 5.093 * * [simplify]: Extracting # 4 : cost 0 5.095 * * [simplify]: iteration 4 : 4336 enodes (cost 264 ) 6.787 * * [simplify]: Extracting # 0 : cost 0 6.791 * * [simplify]: Extracting # 1 : cost 0 6.795 * * [simplify]: Extracting # 2 : cost 0 6.802 * * [simplify]: Extracting # 3 : cost 0 6.808 * * [simplify]: Extracting # 4 : cost 0 6.815 * * [simplify]: iteration done: 5002 enodes (cost 264 ) 6.815 * [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) 6.815 * * * [progress]: adding candidates to table 6.888 * * [progress]: iteration 3 / 4 6.888 * * * [progress]: picking best candidate 6.900 * * * * [pick]: Picked # 6.900 * * * [progress]: localizing error 6.926 * * * [progress]: generating rewritten candidates 6.926 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 6.948 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 6.963 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 6.977 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.980 * * * [progress]: generating series expansions 6.980 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 6.980 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 6.980 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 6.980 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.980 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.980 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.980 * [taylor]: Taking taylor expansion of 1/3 in N 6.980 * [backup-simplify]: Simplify 1/3 into 1/3 6.980 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.980 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.980 * [taylor]: Taking taylor expansion of N in N 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 1 into 1 6.980 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.980 * [taylor]: Taking taylor expansion of N in N 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 1 into 1 6.980 * [taylor]: Taking taylor expansion of 1.0 in N 6.980 * [backup-simplify]: Simplify 1.0 into 1.0 6.981 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.982 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.982 * [backup-simplify]: Simplify (+ 1 0) into 1 6.984 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.984 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.985 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.986 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.986 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.986 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 6.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 6.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 6.986 * [taylor]: Taking taylor expansion of 1/3 in N 6.986 * [backup-simplify]: Simplify 1/3 into 1/3 6.986 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 6.986 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 6.986 * [taylor]: Taking taylor expansion of N in N 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 1 into 1 6.986 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.986 * [taylor]: Taking taylor expansion of N in N 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 1 into 1 6.986 * [taylor]: Taking taylor expansion of 1.0 in N 6.987 * [backup-simplify]: Simplify 1.0 into 1.0 6.987 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.987 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.988 * [backup-simplify]: Simplify (+ 1 0) into 1 6.989 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 6.990 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.990 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 6.991 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 6.991 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.992 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 6.992 * [backup-simplify]: Simplify (+ 0 0) into 0 6.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 6.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.000 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.001 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.004 * [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))))) 7.004 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.005 * [backup-simplify]: Simplify (+ 0 0) into 0 7.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.017 * [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)) 7.018 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.021 * [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)))) 7.033 * [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))))) 7.036 * [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))))) 7.040 * [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)))) 7.040 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.040 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.040 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.040 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.040 * [taylor]: Taking taylor expansion of 1/3 in N 7.040 * [backup-simplify]: Simplify 1/3 into 1/3 7.040 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.040 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.040 * [taylor]: Taking taylor expansion of N in N 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.041 * [backup-simplify]: Simplify (/ 1 1) into 1 7.041 * [taylor]: Taking taylor expansion of 1.0 in N 7.041 * [backup-simplify]: Simplify 1.0 into 1.0 7.041 * [taylor]: Taking taylor expansion of N in N 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [backup-simplify]: Simplify (+ 1 0) into 1 7.041 * [backup-simplify]: Simplify (/ 1 1) into 1 7.041 * [backup-simplify]: Simplify (log 1) into 0 7.042 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.042 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.042 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.042 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.042 * [taylor]: Taking taylor expansion of 1/3 in N 7.042 * [backup-simplify]: Simplify 1/3 into 1/3 7.042 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.042 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.042 * [taylor]: Taking taylor expansion of N in N 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify (/ 1 1) into 1 7.042 * [taylor]: Taking taylor expansion of 1.0 in N 7.042 * [backup-simplify]: Simplify 1.0 into 1.0 7.042 * [taylor]: Taking taylor expansion of N in N 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 1 into 1 7.043 * [backup-simplify]: Simplify (+ 1 0) into 1 7.043 * [backup-simplify]: Simplify (/ 1 1) into 1 7.043 * [backup-simplify]: Simplify (log 1) into 0 7.044 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.044 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.044 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.044 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.045 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.046 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.050 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.050 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.052 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.052 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.053 * [backup-simplify]: Simplify (+ 0 0) into 0 7.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.060 * [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 7.060 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.061 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.065 * [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)) 7.065 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.066 * [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))) 7.067 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 7.067 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 7.067 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.067 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.067 * [taylor]: Taking taylor expansion of -1 in N 7.067 * [backup-simplify]: Simplify -1 into -1 7.068 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.068 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.068 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.068 * [taylor]: Taking taylor expansion of 1/3 in N 7.068 * [backup-simplify]: Simplify 1/3 into 1/3 7.068 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.069 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.069 * [taylor]: Taking taylor expansion of 1.0 in N 7.069 * [backup-simplify]: Simplify 1.0 into 1.0 7.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.069 * [taylor]: Taking taylor expansion of N in N 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.069 * [backup-simplify]: Simplify (/ 1 1) into 1 7.069 * [taylor]: Taking taylor expansion of N in N 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (- 1) into -1 7.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.070 * [backup-simplify]: Simplify (/ -1 1) into -1 7.071 * [backup-simplify]: Simplify (log -1) into (log -1) 7.072 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.072 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.078 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.079 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.079 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.079 * [taylor]: Taking taylor expansion of -1 in N 7.079 * [backup-simplify]: Simplify -1 into -1 7.079 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.080 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.080 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.080 * [taylor]: Taking taylor expansion of 1/3 in N 7.080 * [backup-simplify]: Simplify 1/3 into 1/3 7.080 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.080 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.080 * [taylor]: Taking taylor expansion of 1.0 in N 7.080 * [backup-simplify]: Simplify 1.0 into 1.0 7.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.080 * [taylor]: Taking taylor expansion of N in N 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 1 into 1 7.081 * [backup-simplify]: Simplify (/ 1 1) into 1 7.081 * [taylor]: Taking taylor expansion of N in N 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 1 into 1 7.081 * [backup-simplify]: Simplify (- 1) into -1 7.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.082 * [backup-simplify]: Simplify (/ -1 1) into -1 7.083 * [backup-simplify]: Simplify (log -1) into (log -1) 7.084 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.084 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.085 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.086 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.087 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.089 * [backup-simplify]: Simplify (- 0) into 0 7.089 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.091 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.099 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.100 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.104 * [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)))))) 7.106 * [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)))))))) 7.107 * [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)))))))) 7.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (- 0) into 0 7.109 * [backup-simplify]: Simplify (+ 0 0) into 0 7.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.122 * [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 7.123 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.124 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.131 * [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)))))) 7.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.135 * [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)))))))) 7.136 * [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)))))))) 7.140 * [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)))) 7.141 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 7.141 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 7.141 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.141 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.141 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.141 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.141 * [taylor]: Taking taylor expansion of 1/3 in N 7.141 * [backup-simplify]: Simplify 1/3 into 1/3 7.141 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.141 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.141 * [taylor]: Taking taylor expansion of N in N 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.141 * [taylor]: Taking taylor expansion of N in N 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [taylor]: Taking taylor expansion of 1.0 in N 7.141 * [backup-simplify]: Simplify 1.0 into 1.0 7.142 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.142 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.143 * [backup-simplify]: Simplify (+ 1 0) into 1 7.144 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.144 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.145 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.146 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.146 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.146 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.146 * [taylor]: Taking taylor expansion of 1/3 in N 7.146 * [backup-simplify]: Simplify 1/3 into 1/3 7.147 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.147 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.147 * [taylor]: Taking taylor expansion of N in N 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify 1 into 1 7.147 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.147 * [taylor]: Taking taylor expansion of N in N 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify 1 into 1 7.147 * [taylor]: Taking taylor expansion of 1.0 in N 7.147 * [backup-simplify]: Simplify 1.0 into 1.0 7.147 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.147 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.148 * [backup-simplify]: Simplify (+ 1 0) into 1 7.148 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.149 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.149 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.150 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.150 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.150 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.151 * [backup-simplify]: Simplify (+ 0 0) into 0 7.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.155 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.156 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.157 * [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))))) 7.158 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.158 * [backup-simplify]: Simplify (+ 0 0) into 0 7.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.164 * [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)) 7.165 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.167 * [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)))) 7.173 * [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))))) 7.176 * [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))))) 7.181 * [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)))) 7.181 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.181 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.181 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.181 * [taylor]: Taking taylor expansion of 1/3 in N 7.181 * [backup-simplify]: Simplify 1/3 into 1/3 7.181 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.182 * [taylor]: Taking taylor expansion of N in N 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 1 into 1 7.182 * [backup-simplify]: Simplify (/ 1 1) into 1 7.182 * [taylor]: Taking taylor expansion of 1.0 in N 7.182 * [backup-simplify]: Simplify 1.0 into 1.0 7.182 * [taylor]: Taking taylor expansion of N in N 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 1 into 1 7.183 * [backup-simplify]: Simplify (+ 1 0) into 1 7.183 * [backup-simplify]: Simplify (/ 1 1) into 1 7.183 * [backup-simplify]: Simplify (log 1) into 0 7.184 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.184 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.184 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.184 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.184 * [taylor]: Taking taylor expansion of 1/3 in N 7.184 * [backup-simplify]: Simplify 1/3 into 1/3 7.184 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.184 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.184 * [taylor]: Taking taylor expansion of N in N 7.184 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 1 into 1 7.185 * [backup-simplify]: Simplify (/ 1 1) into 1 7.185 * [taylor]: Taking taylor expansion of 1.0 in N 7.185 * [backup-simplify]: Simplify 1.0 into 1.0 7.185 * [taylor]: Taking taylor expansion of N in N 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 1 into 1 7.185 * [backup-simplify]: Simplify (+ 1 0) into 1 7.186 * [backup-simplify]: Simplify (/ 1 1) into 1 7.186 * [backup-simplify]: Simplify (log 1) into 0 7.187 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.187 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.187 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.187 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.188 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.190 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.198 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.198 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.201 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.201 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.221 * [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 7.221 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.223 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.229 * [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)) 7.230 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.231 * [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))) 7.231 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 7.231 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 7.231 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.231 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.231 * [taylor]: Taking taylor expansion of -1 in N 7.231 * [backup-simplify]: Simplify -1 into -1 7.232 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.233 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.233 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.233 * [taylor]: Taking taylor expansion of 1/3 in N 7.233 * [backup-simplify]: Simplify 1/3 into 1/3 7.233 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.233 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.233 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.233 * [taylor]: Taking taylor expansion of 1.0 in N 7.233 * [backup-simplify]: Simplify 1.0 into 1.0 7.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.233 * [taylor]: Taking taylor expansion of N in N 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 1 into 1 7.234 * [backup-simplify]: Simplify (/ 1 1) into 1 7.234 * [taylor]: Taking taylor expansion of N in N 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 1 into 1 7.234 * [backup-simplify]: Simplify (- 1) into -1 7.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.235 * [backup-simplify]: Simplify (/ -1 1) into -1 7.235 * [backup-simplify]: Simplify (log -1) into (log -1) 7.236 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.237 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.237 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.237 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.237 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.237 * [taylor]: Taking taylor expansion of -1 in N 7.237 * [backup-simplify]: Simplify -1 into -1 7.238 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.238 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.239 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.239 * [taylor]: Taking taylor expansion of 1/3 in N 7.239 * [backup-simplify]: Simplify 1/3 into 1/3 7.239 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.239 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.239 * [taylor]: Taking taylor expansion of 1.0 in N 7.239 * [backup-simplify]: Simplify 1.0 into 1.0 7.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.239 * [taylor]: Taking taylor expansion of N in N 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify 1 into 1 7.239 * [backup-simplify]: Simplify (/ 1 1) into 1 7.239 * [taylor]: Taking taylor expansion of N in N 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify (- 1) into -1 7.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.241 * [backup-simplify]: Simplify (/ -1 1) into -1 7.241 * [backup-simplify]: Simplify (log -1) into (log -1) 7.242 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.242 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.243 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.244 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.245 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify (- 0) into 0 7.247 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.249 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.256 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.257 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.261 * [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)))))) 7.262 * [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)))))))) 7.263 * [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)))))))) 7.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.264 * [backup-simplify]: Simplify (- 0) into 0 7.264 * [backup-simplify]: Simplify (+ 0 0) into 0 7.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.271 * [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 7.272 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.273 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.277 * [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)))))) 7.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.279 * [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)))))))) 7.280 * [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)))))))) 7.282 * [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)))) 7.282 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 7.282 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 7.282 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.282 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.282 * [taylor]: Taking taylor expansion of 1/3 in N 7.282 * [backup-simplify]: Simplify 1/3 into 1/3 7.282 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.282 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.282 * [taylor]: Taking taylor expansion of N in N 7.282 * [backup-simplify]: Simplify 0 into 0 7.282 * [backup-simplify]: Simplify 1 into 1 7.283 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.283 * [taylor]: Taking taylor expansion of N in N 7.283 * [backup-simplify]: Simplify 0 into 0 7.283 * [backup-simplify]: Simplify 1 into 1 7.283 * [taylor]: Taking taylor expansion of 1.0 in N 7.283 * [backup-simplify]: Simplify 1.0 into 1.0 7.283 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.283 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.283 * [backup-simplify]: Simplify (+ 1 0) into 1 7.284 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.285 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.285 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.285 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.286 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.286 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.286 * [taylor]: Taking taylor expansion of 1/3 in N 7.286 * [backup-simplify]: Simplify 1/3 into 1/3 7.286 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.286 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.286 * [taylor]: Taking taylor expansion of N in N 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.286 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.286 * [taylor]: Taking taylor expansion of N in N 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.286 * [taylor]: Taking taylor expansion of 1.0 in N 7.286 * [backup-simplify]: Simplify 1.0 into 1.0 7.286 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.286 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.287 * [backup-simplify]: Simplify (+ 1 0) into 1 7.288 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.288 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.288 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.289 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.289 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.289 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.289 * [backup-simplify]: Simplify (+ 0 0) into 0 7.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.296 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.296 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.300 * [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))))) 7.300 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.301 * [backup-simplify]: Simplify (+ 0 0) into 0 7.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.313 * [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)) 7.314 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.317 * [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)))) 7.328 * [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))))) 7.332 * [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))))) 7.337 * [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)))) 7.337 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.337 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.337 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.337 * [taylor]: Taking taylor expansion of 1/3 in N 7.337 * [backup-simplify]: Simplify 1/3 into 1/3 7.337 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.337 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.337 * [taylor]: Taking taylor expansion of N in N 7.337 * [backup-simplify]: Simplify 0 into 0 7.337 * [backup-simplify]: Simplify 1 into 1 7.338 * [backup-simplify]: Simplify (/ 1 1) into 1 7.338 * [taylor]: Taking taylor expansion of 1.0 in N 7.338 * [backup-simplify]: Simplify 1.0 into 1.0 7.338 * [taylor]: Taking taylor expansion of N in N 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 1 into 1 7.343 * [backup-simplify]: Simplify (+ 1 0) into 1 7.343 * [backup-simplify]: Simplify (/ 1 1) into 1 7.344 * [backup-simplify]: Simplify (log 1) into 0 7.344 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.345 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.345 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.345 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.345 * [taylor]: Taking taylor expansion of 1/3 in N 7.345 * [backup-simplify]: Simplify 1/3 into 1/3 7.345 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.345 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.345 * [taylor]: Taking taylor expansion of N in N 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 1 into 1 7.345 * [backup-simplify]: Simplify (/ 1 1) into 1 7.345 * [taylor]: Taking taylor expansion of 1.0 in N 7.345 * [backup-simplify]: Simplify 1.0 into 1.0 7.346 * [taylor]: Taking taylor expansion of N in N 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 1 into 1 7.346 * [backup-simplify]: Simplify (+ 1 0) into 1 7.346 * [backup-simplify]: Simplify (/ 1 1) into 1 7.347 * [backup-simplify]: Simplify (log 1) into 0 7.347 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.347 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.347 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.348 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.349 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.351 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.355 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.355 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.356 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.357 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.357 * [backup-simplify]: Simplify (+ 0 0) into 0 7.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.364 * [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 7.364 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.365 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.368 * [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)) 7.369 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.369 * [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))) 7.369 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 7.369 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 7.369 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.369 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.369 * [taylor]: Taking taylor expansion of -1 in N 7.369 * [backup-simplify]: Simplify -1 into -1 7.370 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.370 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.370 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.370 * [taylor]: Taking taylor expansion of 1/3 in N 7.370 * [backup-simplify]: Simplify 1/3 into 1/3 7.370 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.370 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.370 * [taylor]: Taking taylor expansion of 1.0 in N 7.370 * [backup-simplify]: Simplify 1.0 into 1.0 7.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.370 * [taylor]: Taking taylor expansion of N in N 7.370 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify 1 into 1 7.371 * [backup-simplify]: Simplify (/ 1 1) into 1 7.371 * [taylor]: Taking taylor expansion of N in N 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 1 into 1 7.371 * [backup-simplify]: Simplify (- 1) into -1 7.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.371 * [backup-simplify]: Simplify (/ -1 1) into -1 7.372 * [backup-simplify]: Simplify (log -1) into (log -1) 7.372 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.373 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.373 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.373 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 7.373 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.373 * [taylor]: Taking taylor expansion of -1 in N 7.373 * [backup-simplify]: Simplify -1 into -1 7.373 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.374 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.374 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.374 * [taylor]: Taking taylor expansion of 1/3 in N 7.374 * [backup-simplify]: Simplify 1/3 into 1/3 7.374 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.374 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.374 * [taylor]: Taking taylor expansion of 1.0 in N 7.374 * [backup-simplify]: Simplify 1.0 into 1.0 7.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.374 * [taylor]: Taking taylor expansion of N in N 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.374 * [backup-simplify]: Simplify (/ 1 1) into 1 7.374 * [taylor]: Taking taylor expansion of N in N 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.374 * [backup-simplify]: Simplify (- 1) into -1 7.375 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.375 * [backup-simplify]: Simplify (/ -1 1) into -1 7.375 * [backup-simplify]: Simplify (log -1) into (log -1) 7.376 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.376 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.376 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.377 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.378 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.378 * [backup-simplify]: Simplify (- 0) into 0 7.378 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.380 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.388 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.388 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.391 * [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)))))) 7.392 * [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)))))))) 7.392 * [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)))))))) 7.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.393 * [backup-simplify]: Simplify (- 0) into 0 7.393 * [backup-simplify]: Simplify (+ 0 0) into 0 7.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.400 * [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 7.401 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.401 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.405 * [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)))))) 7.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.408 * [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)))))))) 7.408 * [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)))))))) 7.411 * [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)))) 7.411 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.411 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.411 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 7.411 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.411 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.411 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.412 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.412 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.412 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 7.413 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 7.413 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.413 * [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))) 7.413 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.413 * [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))) 7.413 * [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))) 7.413 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.414 * [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))) 7.414 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) 7.414 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 7.414 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 7.417 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.417 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 7.420 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.420 * [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)))) 7.420 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify 0 into 0 7.421 * [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))) 7.421 * * * [progress]: simplifying candidates 7.423 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.424 * * [simplify]: Extracting # 0 : cost 0 7.424 * * [simplify]: Extracting # 1 : cost 0 7.424 * * [simplify]: Extracting # 2 : cost 0 7.424 * * [simplify]: Extracting # 3 : cost 0 7.424 * * [simplify]: Extracting # 4 : cost 0 7.425 * * [simplify]: Extracting # 5 : cost 0 7.425 * * [simplify]: Extracting # 6 : cost 0 7.425 * * [simplify]: Extracting # 7 : cost 0 7.425 * * [simplify]: Extracting # 8 : cost 0 7.425 * * [simplify]: Extracting # 9 : cost 0 7.425 * * [simplify]: Extracting # 10 : cost 0 7.425 * * [simplify]: Extracting # 11 : cost 0 7.425 * * [simplify]: Extracting # 12 : cost 0 7.425 * * [simplify]: Extracting # 13 : cost 0 7.426 * * [simplify]: Extracting # 14 : cost 0 7.426 * * [simplify]: Extracting # 15 : cost 0 7.426 * * [simplify]: iteration 0 : 95 enodes (cost 1024 ) 7.450 * * [simplify]: Extracting # 0 : cost 0 7.451 * * [simplify]: Extracting # 1 : cost 0 7.451 * * [simplify]: Extracting # 2 : cost 0 7.452 * * [simplify]: Extracting # 3 : cost 0 7.452 * * [simplify]: Extracting # 4 : cost 0 7.452 * * [simplify]: iteration 1 : 210 enodes (cost 1012 ) 7.526 * * [simplify]: Extracting # 0 : cost 0 7.526 * * [simplify]: Extracting # 1 : cost 0 7.527 * * [simplify]: Extracting # 2 : cost 0 7.528 * * [simplify]: Extracting # 3 : cost 0 7.528 * * [simplify]: Extracting # 4 : cost 0 7.532 * * [simplify]: iteration 2 : 482 enodes (cost 826 ) 7.706 * * [simplify]: Extracting # 0 : cost 0 7.712 * * [simplify]: Extracting # 1 : cost 0 7.714 * * [simplify]: Extracting # 2 : cost 0 7.715 * * [simplify]: Extracting # 3 : cost 0 7.716 * * [simplify]: Extracting # 4 : cost 0 7.718 * * [simplify]: iteration 3 : 1284 enodes (cost 697 ) 8.776 * * [simplify]: Extracting # 0 : cost 0 8.781 * * [simplify]: Extracting # 1 : cost 0 8.786 * * [simplify]: Extracting # 2 : cost 0 8.791 * * [simplify]: Extracting # 3 : cost 0 8.797 * * [simplify]: Extracting # 4 : cost 0 8.802 * * [simplify]: iteration 4 : 4474 enodes (cost 631 ) 10.115 * * [simplify]: Extracting # 0 : cost 0 10.121 * * [simplify]: Extracting # 1 : cost 0 10.135 * * [simplify]: Extracting # 2 : cost 0 10.142 * * [simplify]: Extracting # 3 : cost 0 10.148 * * [simplify]: iteration done: 5000 enodes (cost 631 ) 10.148 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (* 1.0 (- 1.0 N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 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)))) (+ (* (cbrt (* N 1.0)) (+ (* 0.3333333333333333 N) 1)) (* (* (* N N) (cbrt (* N 1.0))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt (* -1 (pow (/ -1 N) -2))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2))))) (+ (* (cbrt (* N 1.0)) (+ (* 0.3333333333333333 N) 1)) (* (* (* N N) (cbrt (* N 1.0))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt (* -1 (pow (/ -1 N) -2))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2))))) (+ (* (cbrt (* N 1.0)) (+ (* 0.3333333333333333 N) 1)) (* (* (* N N) (cbrt (* N 1.0))) (- 0.05555555555555555 (/ 1/6 (* 1.0 1.0))))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt (* -1 (pow (/ -1 N) -2))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (* (cbrt -1) (cbrt (* -1 (pow (/ -1 N) -2))))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 10.149 * * * [progress]: adding candidates to table 10.367 * * [progress]: iteration 4 / 4 10.367 * * * [progress]: picking best candidate 10.383 * * * * [pick]: Picked # 10.383 * * * [progress]: localizing error 10.402 * * * [progress]: generating rewritten candidates 10.402 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 10.409 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 10.417 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2) 10.418 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 10.419 * * * [progress]: generating series expansions 10.419 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 10.420 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 10.420 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 10.420 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.420 * [taylor]: Taking taylor expansion of 1/3 in N 10.420 * [backup-simplify]: Simplify 1/3 into 1/3 10.420 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.420 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.420 * [taylor]: Taking taylor expansion of N in N 10.420 * [backup-simplify]: Simplify 0 into 0 10.420 * [backup-simplify]: Simplify 1 into 1 10.420 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.420 * [taylor]: Taking taylor expansion of N in N 10.420 * [backup-simplify]: Simplify 0 into 0 10.420 * [backup-simplify]: Simplify 1 into 1 10.420 * [taylor]: Taking taylor expansion of 1.0 in N 10.420 * [backup-simplify]: Simplify 1.0 into 1.0 10.421 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.421 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.421 * [backup-simplify]: Simplify (+ 1 0) into 1 10.422 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.423 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.423 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.423 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.424 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.424 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.424 * [taylor]: Taking taylor expansion of 1/3 in N 10.424 * [backup-simplify]: Simplify 1/3 into 1/3 10.424 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.424 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.424 * [taylor]: Taking taylor expansion of N in N 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 1 into 1 10.424 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.424 * [taylor]: Taking taylor expansion of N in N 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 1 into 1 10.424 * [taylor]: Taking taylor expansion of 1.0 in N 10.424 * [backup-simplify]: Simplify 1.0 into 1.0 10.425 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.425 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.425 * [backup-simplify]: Simplify (+ 1 0) into 1 10.426 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.427 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.428 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.428 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.429 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.430 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.431 * [backup-simplify]: Simplify (+ 0 0) into 0 10.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 10.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.438 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.439 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 10.443 * [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))))) 10.444 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.445 * [backup-simplify]: Simplify (+ 0 0) into 0 10.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 10.455 * [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)) 10.456 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.469 * [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)))) 10.481 * [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))))) 10.485 * [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))))) 10.489 * [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)))) 10.490 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 10.490 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 10.490 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.490 * [taylor]: Taking taylor expansion of 1/3 in N 10.490 * [backup-simplify]: Simplify 1/3 into 1/3 10.490 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.490 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.490 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.490 * [taylor]: Taking taylor expansion of N in N 10.490 * [backup-simplify]: Simplify 0 into 0 10.490 * [backup-simplify]: Simplify 1 into 1 10.491 * [backup-simplify]: Simplify (/ 1 1) into 1 10.491 * [taylor]: Taking taylor expansion of 1.0 in N 10.491 * [backup-simplify]: Simplify 1.0 into 1.0 10.491 * [taylor]: Taking taylor expansion of N in N 10.491 * [backup-simplify]: Simplify 0 into 0 10.491 * [backup-simplify]: Simplify 1 into 1 10.491 * [backup-simplify]: Simplify (+ 1 0) into 1 10.492 * [backup-simplify]: Simplify (/ 1 1) into 1 10.492 * [backup-simplify]: Simplify (log 1) into 0 10.492 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.493 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.493 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.493 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.493 * [taylor]: Taking taylor expansion of 1/3 in N 10.493 * [backup-simplify]: Simplify 1/3 into 1/3 10.493 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.493 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.493 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.493 * [taylor]: Taking taylor expansion of N in N 10.493 * [backup-simplify]: Simplify 0 into 0 10.493 * [backup-simplify]: Simplify 1 into 1 10.493 * [backup-simplify]: Simplify (/ 1 1) into 1 10.493 * [taylor]: Taking taylor expansion of 1.0 in N 10.494 * [backup-simplify]: Simplify 1.0 into 1.0 10.494 * [taylor]: Taking taylor expansion of N in N 10.494 * [backup-simplify]: Simplify 0 into 0 10.494 * [backup-simplify]: Simplify 1 into 1 10.494 * [backup-simplify]: Simplify (+ 1 0) into 1 10.494 * [backup-simplify]: Simplify (/ 1 1) into 1 10.495 * [backup-simplify]: Simplify (log 1) into 0 10.495 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.495 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.495 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.496 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 10.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.497 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.499 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 10.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.504 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.505 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 10.506 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.506 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.507 * [backup-simplify]: Simplify (+ 0 0) into 0 10.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.514 * [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 10.514 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.515 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 10.518 * [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)) 10.518 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.519 * [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))) 10.519 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 10.519 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 10.519 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.519 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.519 * [taylor]: Taking taylor expansion of -1 in N 10.519 * [backup-simplify]: Simplify -1 into -1 10.519 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.520 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.520 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.520 * [taylor]: Taking taylor expansion of 1/3 in N 10.520 * [backup-simplify]: Simplify 1/3 into 1/3 10.520 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.520 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.520 * [taylor]: Taking taylor expansion of 1.0 in N 10.520 * [backup-simplify]: Simplify 1.0 into 1.0 10.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.520 * [taylor]: Taking taylor expansion of N in N 10.520 * [backup-simplify]: Simplify 0 into 0 10.520 * [backup-simplify]: Simplify 1 into 1 10.520 * [backup-simplify]: Simplify (/ 1 1) into 1 10.520 * [taylor]: Taking taylor expansion of N in N 10.520 * [backup-simplify]: Simplify 0 into 0 10.520 * [backup-simplify]: Simplify 1 into 1 10.521 * [backup-simplify]: Simplify (- 1) into -1 10.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.521 * [backup-simplify]: Simplify (/ -1 1) into -1 10.521 * [backup-simplify]: Simplify (log -1) into (log -1) 10.522 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.522 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.523 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.523 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.523 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.523 * [taylor]: Taking taylor expansion of -1 in N 10.523 * [backup-simplify]: Simplify -1 into -1 10.523 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.523 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.523 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.523 * [taylor]: Taking taylor expansion of 1/3 in N 10.523 * [backup-simplify]: Simplify 1/3 into 1/3 10.523 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.524 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.524 * [taylor]: Taking taylor expansion of 1.0 in N 10.524 * [backup-simplify]: Simplify 1.0 into 1.0 10.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.524 * [taylor]: Taking taylor expansion of N in N 10.524 * [backup-simplify]: Simplify 0 into 0 10.524 * [backup-simplify]: Simplify 1 into 1 10.524 * [backup-simplify]: Simplify (/ 1 1) into 1 10.524 * [taylor]: Taking taylor expansion of N in N 10.524 * [backup-simplify]: Simplify 0 into 0 10.524 * [backup-simplify]: Simplify 1 into 1 10.524 * [backup-simplify]: Simplify (- 1) into -1 10.524 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.525 * [backup-simplify]: Simplify (/ -1 1) into -1 10.525 * [backup-simplify]: Simplify (log -1) into (log -1) 10.525 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.526 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.526 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.527 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.528 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.529 * [backup-simplify]: Simplify (- 0) into 0 10.529 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.532 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 10.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.540 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.541 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 10.545 * [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)))))) 10.546 * [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)))))))) 10.547 * [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)))))))) 10.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.549 * [backup-simplify]: Simplify (- 0) into 0 10.549 * [backup-simplify]: Simplify (+ 0 0) into 0 10.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.562 * [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 10.563 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.564 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 10.571 * [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)))))) 10.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.575 * [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)))))))) 10.577 * [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)))))))) 10.580 * [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)))) 10.580 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 10.580 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 10.580 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 10.580 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.580 * [taylor]: Taking taylor expansion of 1/3 in N 10.580 * [backup-simplify]: Simplify 1/3 into 1/3 10.580 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.580 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.580 * [taylor]: Taking taylor expansion of N in N 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 1 into 1 10.580 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.580 * [taylor]: Taking taylor expansion of N in N 10.580 * [backup-simplify]: Simplify 0 into 0 10.580 * [backup-simplify]: Simplify 1 into 1 10.581 * [taylor]: Taking taylor expansion of 1.0 in N 10.581 * [backup-simplify]: Simplify 1.0 into 1.0 10.581 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.581 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.581 * [backup-simplify]: Simplify (+ 1 0) into 1 10.582 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.583 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.583 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.583 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.584 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.584 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.584 * [taylor]: Taking taylor expansion of 1/3 in N 10.584 * [backup-simplify]: Simplify 1/3 into 1/3 10.584 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.584 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.584 * [taylor]: Taking taylor expansion of N in N 10.584 * [backup-simplify]: Simplify 0 into 0 10.584 * [backup-simplify]: Simplify 1 into 1 10.584 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.584 * [taylor]: Taking taylor expansion of N in N 10.584 * [backup-simplify]: Simplify 0 into 0 10.584 * [backup-simplify]: Simplify 1 into 1 10.584 * [taylor]: Taking taylor expansion of 1.0 in N 10.584 * [backup-simplify]: Simplify 1.0 into 1.0 10.584 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.584 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.585 * [backup-simplify]: Simplify (+ 1 0) into 1 10.586 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.586 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.587 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.587 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.587 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.588 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.588 * [backup-simplify]: Simplify (+ 0 0) into 0 10.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 10.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.598 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.598 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 10.600 * [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))))) 10.600 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.601 * [backup-simplify]: Simplify (+ 0 0) into 0 10.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 10.607 * [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)) 10.607 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.609 * [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)))) 10.615 * [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))))) 10.619 * [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))))) 10.623 * [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)))) 10.623 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 10.624 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 10.624 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.624 * [taylor]: Taking taylor expansion of 1/3 in N 10.624 * [backup-simplify]: Simplify 1/3 into 1/3 10.624 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.624 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.624 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.624 * [taylor]: Taking taylor expansion of N in N 10.624 * [backup-simplify]: Simplify 0 into 0 10.624 * [backup-simplify]: Simplify 1 into 1 10.625 * [backup-simplify]: Simplify (/ 1 1) into 1 10.625 * [taylor]: Taking taylor expansion of 1.0 in N 10.625 * [backup-simplify]: Simplify 1.0 into 1.0 10.625 * [taylor]: Taking taylor expansion of N in N 10.625 * [backup-simplify]: Simplify 0 into 0 10.625 * [backup-simplify]: Simplify 1 into 1 10.625 * [backup-simplify]: Simplify (+ 1 0) into 1 10.626 * [backup-simplify]: Simplify (/ 1 1) into 1 10.626 * [backup-simplify]: Simplify (log 1) into 0 10.627 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.627 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.627 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.627 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.627 * [taylor]: Taking taylor expansion of 1/3 in N 10.627 * [backup-simplify]: Simplify 1/3 into 1/3 10.627 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.627 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.627 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.627 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.627 * [taylor]: Taking taylor expansion of N in N 10.627 * [backup-simplify]: Simplify 0 into 0 10.627 * [backup-simplify]: Simplify 1 into 1 10.628 * [backup-simplify]: Simplify (/ 1 1) into 1 10.628 * [taylor]: Taking taylor expansion of 1.0 in N 10.628 * [backup-simplify]: Simplify 1.0 into 1.0 10.628 * [taylor]: Taking taylor expansion of N in N 10.628 * [backup-simplify]: Simplify 0 into 0 10.628 * [backup-simplify]: Simplify 1 into 1 10.628 * [backup-simplify]: Simplify (+ 1 0) into 1 10.629 * [backup-simplify]: Simplify (/ 1 1) into 1 10.629 * [backup-simplify]: Simplify (log 1) into 0 10.630 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.630 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.630 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.630 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 10.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.631 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.634 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 10.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.641 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.642 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 10.645 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.645 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.647 * [backup-simplify]: Simplify (+ 0 0) into 0 10.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.660 * [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 10.660 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.661 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 10.667 * [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)) 10.667 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.668 * [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))) 10.668 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 10.668 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 10.668 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.668 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.668 * [taylor]: Taking taylor expansion of -1 in N 10.668 * [backup-simplify]: Simplify -1 into -1 10.668 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.669 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.669 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.669 * [taylor]: Taking taylor expansion of 1/3 in N 10.669 * [backup-simplify]: Simplify 1/3 into 1/3 10.669 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.669 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.669 * [taylor]: Taking taylor expansion of 1.0 in N 10.669 * [backup-simplify]: Simplify 1.0 into 1.0 10.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.669 * [taylor]: Taking taylor expansion of N in N 10.669 * [backup-simplify]: Simplify 0 into 0 10.669 * [backup-simplify]: Simplify 1 into 1 10.669 * [backup-simplify]: Simplify (/ 1 1) into 1 10.669 * [taylor]: Taking taylor expansion of N in N 10.669 * [backup-simplify]: Simplify 0 into 0 10.669 * [backup-simplify]: Simplify 1 into 1 10.670 * [backup-simplify]: Simplify (- 1) into -1 10.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.670 * [backup-simplify]: Simplify (/ -1 1) into -1 10.670 * [backup-simplify]: Simplify (log -1) into (log -1) 10.671 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.671 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.672 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.672 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.672 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.672 * [taylor]: Taking taylor expansion of -1 in N 10.672 * [backup-simplify]: Simplify -1 into -1 10.672 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.672 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.672 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.672 * [taylor]: Taking taylor expansion of 1/3 in N 10.672 * [backup-simplify]: Simplify 1/3 into 1/3 10.672 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.672 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.672 * [taylor]: Taking taylor expansion of 1.0 in N 10.673 * [backup-simplify]: Simplify 1.0 into 1.0 10.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.673 * [taylor]: Taking taylor expansion of N in N 10.673 * [backup-simplify]: Simplify 0 into 0 10.673 * [backup-simplify]: Simplify 1 into 1 10.673 * [backup-simplify]: Simplify (/ 1 1) into 1 10.673 * [taylor]: Taking taylor expansion of N in N 10.673 * [backup-simplify]: Simplify 0 into 0 10.673 * [backup-simplify]: Simplify 1 into 1 10.673 * [backup-simplify]: Simplify (- 1) into -1 10.673 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.674 * [backup-simplify]: Simplify (/ -1 1) into -1 10.674 * [backup-simplify]: Simplify (log -1) into (log -1) 10.674 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.675 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.675 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.676 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.676 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.677 * [backup-simplify]: Simplify (- 0) into 0 10.677 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.678 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 10.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.683 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.683 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 10.686 * [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)))))) 10.687 * [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)))))))) 10.687 * [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)))))))) 10.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.688 * [backup-simplify]: Simplify (- 0) into 0 10.688 * [backup-simplify]: Simplify (+ 0 0) into 0 10.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.697 * [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 10.697 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.698 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 10.704 * [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)))))) 10.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.709 * [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)))))))) 10.710 * [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)))))))) 10.712 * [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)))) 10.712 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2) 10.712 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 10.712 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 10.712 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 10.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 10.712 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 10.712 * [taylor]: Taking taylor expansion of 1/3 in N 10.712 * [backup-simplify]: Simplify 1/3 into 1/3 10.712 * [taylor]: Taking taylor expansion of (log N) in N 10.712 * [taylor]: Taking taylor expansion of N in N 10.712 * [backup-simplify]: Simplify 0 into 0 10.712 * [backup-simplify]: Simplify 1 into 1 10.713 * [backup-simplify]: Simplify (log 1) into 0 10.713 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.713 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.713 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.713 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 10.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 10.713 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 10.713 * [taylor]: Taking taylor expansion of 1/3 in N 10.713 * [backup-simplify]: Simplify 1/3 into 1/3 10.713 * [taylor]: Taking taylor expansion of (log N) in N 10.713 * [taylor]: Taking taylor expansion of N in N 10.713 * [backup-simplify]: Simplify 0 into 0 10.713 * [backup-simplify]: Simplify 1 into 1 10.714 * [backup-simplify]: Simplify (log 1) into 0 10.714 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.714 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.714 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.714 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 10.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.715 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 10.716 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.716 * [backup-simplify]: Simplify 0 into 0 10.718 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.718 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.719 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 10.719 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.719 * [backup-simplify]: Simplify 0 into 0 10.722 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.723 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.723 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 10.725 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.725 * [backup-simplify]: Simplify 0 into 0 10.731 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 10.731 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.733 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 10.736 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.736 * [backup-simplify]: Simplify 0 into 0 10.756 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 10.756 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.758 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 10.762 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.762 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 10.780 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.781 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 10.784 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.784 * [backup-simplify]: Simplify 0 into 0 10.784 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 10.784 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 10.784 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 10.784 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.784 * [taylor]: Taking taylor expansion of 1/3 in N 10.784 * [backup-simplify]: Simplify 1/3 into 1/3 10.784 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.784 * [taylor]: Taking taylor expansion of N in N 10.784 * [backup-simplify]: Simplify 0 into 0 10.784 * [backup-simplify]: Simplify 1 into 1 10.785 * [backup-simplify]: Simplify (/ 1 1) into 1 10.785 * [backup-simplify]: Simplify (log 1) into 0 10.785 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.785 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.785 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.785 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.785 * [taylor]: Taking taylor expansion of 1/3 in N 10.785 * [backup-simplify]: Simplify 1/3 into 1/3 10.785 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.786 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.786 * [taylor]: Taking taylor expansion of N in N 10.786 * [backup-simplify]: Simplify 0 into 0 10.786 * [backup-simplify]: Simplify 1 into 1 10.786 * [backup-simplify]: Simplify (/ 1 1) into 1 10.786 * [backup-simplify]: Simplify (log 1) into 0 10.786 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.786 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.786 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.787 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 10.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.788 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 10.789 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.789 * [backup-simplify]: Simplify 0 into 0 10.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.791 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.791 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.792 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.794 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.794 * [backup-simplify]: Simplify 0 into 0 10.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.800 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.801 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.802 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.804 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.804 * [backup-simplify]: Simplify 0 into 0 10.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.812 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 10.815 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 10.818 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.818 * [backup-simplify]: Simplify 0 into 0 10.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.829 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 10.829 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.830 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 10.832 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.832 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.850 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 10.850 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 10.859 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.859 * [backup-simplify]: Simplify 0 into 0 10.859 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 10.860 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 10.860 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 10.860 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 10.860 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.860 * [taylor]: Taking taylor expansion of -1 in N 10.860 * [backup-simplify]: Simplify -1 into -1 10.860 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.861 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.861 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.861 * [taylor]: Taking taylor expansion of 1/3 in N 10.861 * [backup-simplify]: Simplify 1/3 into 1/3 10.861 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.861 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.861 * [taylor]: Taking taylor expansion of N in N 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [backup-simplify]: Simplify 1 into 1 10.862 * [backup-simplify]: Simplify (/ 1 1) into 1 10.862 * [backup-simplify]: Simplify (log 1) into 0 10.862 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.862 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.863 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.863 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 10.863 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.863 * [taylor]: Taking taylor expansion of -1 in N 10.863 * [backup-simplify]: Simplify -1 into -1 10.863 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.864 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.864 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.864 * [taylor]: Taking taylor expansion of 1/3 in N 10.864 * [backup-simplify]: Simplify 1/3 into 1/3 10.864 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.864 * [taylor]: Taking taylor expansion of N in N 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify 1 into 1 10.865 * [backup-simplify]: Simplify (/ 1 1) into 1 10.865 * [backup-simplify]: Simplify (log 1) into 0 10.865 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.866 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.866 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.866 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 10.867 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 10.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.870 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 10.871 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.872 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 10.872 * [backup-simplify]: Simplify 0 into 0 10.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.876 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.877 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.878 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.879 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.881 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.884 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.884 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.886 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.888 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 10.888 * [backup-simplify]: Simplify 0 into 0 10.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.894 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 10.895 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 10.897 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.899 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 10.899 * [backup-simplify]: Simplify 0 into 0 10.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.914 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 10.914 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.916 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 10.919 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.923 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 10.923 * [backup-simplify]: Simplify 0 into 0 10.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.953 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 10.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.954 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 10.959 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.961 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 10.961 * [backup-simplify]: Simplify 0 into 0 10.962 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 10.962 * * * * [progress]: [ 4 / 4 ] generating series at (2) 10.962 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 10.962 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 10.962 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 10.963 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 10.963 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 10.963 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 10.963 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 10.964 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 10.964 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 10.964 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 10.964 * [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))) 10.964 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 10.964 * [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))) 10.964 * [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))) 10.964 * [backup-simplify]: Simplify 0 into 0 10.964 * [backup-simplify]: Simplify 0 into 0 10.964 * [backup-simplify]: Simplify 0 into 0 10.964 * [backup-simplify]: Simplify 0 into 0 10.964 * [backup-simplify]: Simplify 0 into 0 10.964 * [backup-simplify]: Simplify 0 into 0 10.965 * [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))) 10.965 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) 10.966 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 10.966 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 10.967 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 10.967 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 10.969 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 10.969 * [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)))) 10.969 * [backup-simplify]: Simplify 0 into 0 10.969 * [backup-simplify]: Simplify 0 into 0 10.969 * [backup-simplify]: Simplify 0 into 0 10.969 * [backup-simplify]: Simplify 0 into 0 10.969 * [backup-simplify]: Simplify 0 into 0 10.969 * [backup-simplify]: Simplify 0 into 0 10.969 * [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))) 10.969 * * * [progress]: simplifying candidates 10.970 * [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)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (* (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (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))) 10.972 * * [simplify]: Extracting # 0 : cost 0 10.972 * * [simplify]: Extracting # 1 : cost 0 10.972 * * [simplify]: Extracting # 2 : cost 0 10.972 * * [simplify]: Extracting # 3 : cost 0 10.972 * * [simplify]: Extracting # 4 : cost 0 10.972 * * [simplify]: Extracting # 5 : cost 0 10.972 * * [simplify]: Extracting # 6 : cost 0 10.972 * * [simplify]: Extracting # 7 : cost 0 10.972 * * [simplify]: Extracting # 8 : cost 0 10.973 * * [simplify]: Extracting # 9 : cost 0 10.973 * * [simplify]: Extracting # 10 : cost 0 10.973 * * [simplify]: Extracting # 11 : cost 0 10.973 * * [simplify]: Extracting # 12 : cost 0 10.973 * * [simplify]: Extracting # 13 : cost 0 10.973 * * [simplify]: Extracting # 14 : cost 0 10.973 * * [simplify]: Extracting # 15 : cost 0 10.974 * * [simplify]: iteration 0 : 115 enodes (cost 852 ) 10.999 * * [simplify]: Extracting # 0 : cost 0 10.999 * * [simplify]: Extracting # 1 : cost 0 10.999 * * [simplify]: Extracting # 2 : cost 0 11.000 * * [simplify]: Extracting # 3 : cost 0 11.000 * * [simplify]: Extracting # 4 : cost 0 11.000 * * [simplify]: iteration 1 : 248 enodes (cost 840 ) 11.083 * * [simplify]: Extracting # 0 : cost 0 11.083 * * [simplify]: Extracting # 1 : cost 0 11.084 * * [simplify]: Extracting # 2 : cost 0 11.085 * * [simplify]: Extracting # 3 : cost 0 11.085 * * [simplify]: Extracting # 4 : cost 0 11.086 * * [simplify]: iteration 2 : 576 enodes (cost 754 ) 11.305 * * [simplify]: Extracting # 0 : cost 0 11.307 * * [simplify]: Extracting # 1 : cost 0 11.312 * * [simplify]: Extracting # 2 : cost 0 11.314 * * [simplify]: Extracting # 3 : cost 0 11.315 * * [simplify]: Extracting # 4 : cost 0 11.317 * * [simplify]: iteration 3 : 1514 enodes (cost 675 ) 12.087 * * [simplify]: Extracting # 0 : cost 0 12.093 * * [simplify]: Extracting # 1 : cost 0 12.099 * * [simplify]: Extracting # 2 : cost 0 12.105 * * [simplify]: Extracting # 3 : cost 0 12.112 * * [simplify]: Extracting # 4 : cost 0 12.122 * * [simplify]: iteration done: 5001 enodes (cost 637 ) 12.123 * [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 (+ N 1.0)) (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 (+ N 1.0)) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (pow (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (+ (* (+ (* 0.3333333333333333 N) 1) (cbrt (* 1.0 N))) (* (* N (* (cbrt (* 1.0 N)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 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))) N) (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (+ (* (+ (* 0.3333333333333333 N) 1) (cbrt (* 1.0 N))) (* (* N (* (cbrt (* 1.0 N)) N)) (- 0.05555555555555555 (/ 1/6 (* 1.0 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))) N) (* (cbrt -1) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) 12.124 * * * [progress]: adding candidates to table 12.702 * [progress]: [Phase 3 of 3] Extracting. 12.702 * * [regime]: Finding splitpoints for: (# # # # # #) 12.703 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.703 * * * * [regimes]: Trying to branch on N from (# # # # # #) 12.725 * * * [regime]: Found split indices: #