17.457 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.058 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.058 * * [simplify]: Extracting # 0 : cost 0 0.058 * * [simplify]: Extracting # 1 : cost 0 0.058 * * [simplify]: Extracting # 2 : cost 0 0.058 * * [simplify]: Extracting # 3 : cost 0 0.058 * * [simplify]: Extracting # 4 : cost 0 0.058 * * [simplify]: Extracting # 5 : cost 0 0.058 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.059 * * [simplify]: Extracting # 0 : cost 0 0.059 * * [simplify]: Extracting # 1 : cost 0 0.059 * * [simplify]: Extracting # 2 : cost 0 0.059 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.061 * * [simplify]: Extracting # 0 : cost 0 0.061 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.062 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.098 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.101 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.101 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.101 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.101 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.103 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.103 * [taylor]: Taking taylor expansion of (atan N) in N 0.103 * [backup-simplify]: Simplify (atan N) into (atan N) 0.103 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.103 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.103 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.103 * [taylor]: Taking taylor expansion of (atan N) in N 0.103 * [backup-simplify]: Simplify (atan N) into (atan N) 0.103 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.103 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.104 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.109 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.109 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.109 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.109 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.109 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.109 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.109 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.109 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.109 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.109 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.109 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.109 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.110 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.110 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.110 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.116 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.116 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.116 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.116 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.116 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.116 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.116 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.116 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.116 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.117 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.117 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.117 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.117 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.117 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.117 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.123 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.123 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.123 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.123 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.123 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.123 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.123 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.123 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.124 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.124 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.124 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.124 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.124 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.124 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.124 * [backup-simplify]: Simplify 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 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.125 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.125 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.125 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.125 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.125 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.125 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.126 * * * [progress]: simplifying candidates 0.127 * [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)) 0.128 * * [simplify]: Extracting # 0 : cost 0 0.128 * * [simplify]: Extracting # 1 : cost 0 0.128 * * [simplify]: Extracting # 2 : cost 0 0.128 * * [simplify]: Extracting # 3 : cost 0 0.128 * * [simplify]: Extracting # 4 : cost 0 0.128 * * [simplify]: Extracting # 5 : cost 0 0.128 * * [simplify]: Extracting # 6 : cost 0 0.128 * * [simplify]: iteration 0 : 40 enodes (cost 271 ) 0.144 * * [simplify]: Extracting # 0 : cost 0 0.144 * * [simplify]: Extracting # 1 : cost 0 0.145 * * [simplify]: Extracting # 2 : cost 0 0.145 * * [simplify]: Extracting # 3 : cost 0 0.145 * * [simplify]: Extracting # 4 : cost 0 0.145 * * [simplify]: iteration 1 : 76 enodes (cost 259 ) 0.174 * * [simplify]: Extracting # 0 : cost 0 0.174 * * [simplify]: Extracting # 1 : cost 0 0.175 * * [simplify]: Extracting # 2 : cost 0 0.175 * * [simplify]: Extracting # 3 : cost 0 0.175 * * [simplify]: iteration 2 : 145 enodes (cost 245 ) 0.246 * * [simplify]: Extracting # 0 : cost 0 0.246 * * [simplify]: Extracting # 1 : cost 0 0.247 * * [simplify]: Extracting # 2 : cost 0 0.247 * * [simplify]: Extracting # 3 : cost 0 0.248 * * [simplify]: iteration 3 : 270 enodes (cost 241 ) 0.381 * * [simplify]: Extracting # 0 : cost 0 0.382 * * [simplify]: Extracting # 1 : cost 0 0.382 * * [simplify]: Extracting # 2 : cost 0 0.382 * * [simplify]: Extracting # 3 : cost 0 0.383 * * [simplify]: Extracting # 4 : cost 0 0.383 * * [simplify]: iteration 4 : 534 enodes (cost 239 ) 0.725 * * [simplify]: Extracting # 0 : cost 0 0.726 * * [simplify]: Extracting # 1 : cost 0 0.727 * * [simplify]: Extracting # 2 : cost 0 0.729 * * [simplify]: Extracting # 3 : cost 0 0.730 * * [simplify]: Extracting # 4 : cost 0 0.731 * * [simplify]: iteration 5 : 1497 enodes (cost 239 ) 2.080 * * [simplify]: Extracting # 0 : cost 0 2.094 * * [simplify]: Extracting # 1 : cost 0 2.099 * * [simplify]: Extracting # 2 : cost 0 2.104 * * [simplify]: Extracting # 3 : cost 0 2.108 * * [simplify]: Extracting # 4 : cost 0 2.113 * * [simplify]: iteration done: 5000 enodes (cost 239 ) 2.113 * [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)) 2.114 * * * [progress]: adding candidates to table 2.180 * * [progress]: iteration 2 / 4 2.180 * * * [progress]: picking best candidate 2.182 * * * * [pick]: Picked # 2.182 * * * [progress]: localizing error 2.189 * * * [progress]: generating rewritten candidates 2.189 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.190 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 2.214 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.231 * * * [progress]: generating series expansions 2.231 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.232 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.232 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.232 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 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 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.238 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.238 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 2.239 * [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))) 2.239 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.239 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.240 * [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))) 2.240 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.240 * [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))) 2.240 * [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))) 2.240 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [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))) 2.241 * [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)))) 2.241 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.242 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.242 * [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)))) 2.242 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.242 * [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)))) 2.243 * [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)))) 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [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))) 2.244 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 2.244 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.244 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.244 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.244 * [taylor]: Taking taylor expansion of N in N 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.244 * [taylor]: Taking taylor expansion of N in N 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [taylor]: Taking taylor expansion of 1.0 in N 2.244 * [backup-simplify]: Simplify 1.0 into 1.0 2.244 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.244 * [taylor]: Taking taylor expansion of N in N 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.244 * [taylor]: Taking taylor expansion of N in N 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [taylor]: Taking taylor expansion of 1.0 in N 2.244 * [backup-simplify]: Simplify 1.0 into 1.0 2.245 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.246 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (+ 1 0) into 1 2.248 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.248 * [backup-simplify]: Simplify 1.0 into 1.0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (+ 0 0) into 0 2.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 2.265 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.265 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.265 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.265 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.265 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.265 * [taylor]: Taking taylor expansion of N in N 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 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 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 0) into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.267 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.267 * [taylor]: Taking taylor expansion of N in N 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (/ 1 1) into 1 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 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 0) into 1 2.269 * [backup-simplify]: Simplify (/ 1 1) into 1 2.269 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.272 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.272 * [backup-simplify]: Simplify 1.0 into 1.0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.284 * [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)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.286 * [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 2.286 * [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)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 2.288 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.288 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.288 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.288 * [taylor]: Taking taylor expansion of -1 in N 2.289 * [backup-simplify]: Simplify -1 into -1 2.289 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.289 * [taylor]: Taking taylor expansion of 1.0 in N 2.289 * [backup-simplify]: Simplify 1.0 into 1.0 2.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.289 * [taylor]: Taking taylor expansion of N in N 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (/ 1 1) into 1 2.289 * [taylor]: Taking taylor expansion of N in N 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (- 1) into -1 2.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.290 * [backup-simplify]: Simplify (/ -1 1) into -1 2.290 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.290 * [taylor]: Taking taylor expansion of -1 in N 2.291 * [backup-simplify]: Simplify -1 into -1 2.291 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.291 * [taylor]: Taking taylor expansion of 1.0 in N 2.291 * [backup-simplify]: Simplify 1.0 into 1.0 2.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.291 * [taylor]: Taking taylor expansion of N in N 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (/ 1 1) into 1 2.291 * [taylor]: Taking taylor expansion of N in N 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (- 1) into -1 2.292 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.292 * [backup-simplify]: Simplify (/ -1 1) into -1 2.293 * [backup-simplify]: Simplify (* -1 -1) into 1 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.294 * [backup-simplify]: Simplify (- 0) into 0 2.294 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.296 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.297 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.297 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (- 0) into 0 2.299 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (- 0) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (- 0) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (- 0) into 0 2.309 * [backup-simplify]: Simplify (+ 0 0) into 0 2.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (- 0) into 0 2.314 * [backup-simplify]: Simplify (+ 0 0) into 0 2.315 * [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 2.316 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.317 * [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 2.317 * [backup-simplify]: Simplify (- 0) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [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 2.321 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 2.322 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.322 * [backup-simplify]: Simplify (+ 1 (* (+ N 1.0) N)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 2.322 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 2.322 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 2.322 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.322 * [taylor]: Taking taylor expansion of N in N 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 2.322 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.322 * [taylor]: Taking taylor expansion of 1.0 in N 2.322 * [backup-simplify]: Simplify 1.0 into 1.0 2.322 * [taylor]: Taking taylor expansion of N in N 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [taylor]: Taking taylor expansion of 1 in N 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 2.323 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 2.323 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.323 * [taylor]: Taking taylor expansion of 1.0 in N 2.323 * [backup-simplify]: Simplify 1.0 into 1.0 2.323 * [taylor]: Taking taylor expansion of N in N 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [taylor]: Taking taylor expansion of 1 in N 2.323 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.324 * [backup-simplify]: Simplify (+ 0 1) into 1 2.324 * [backup-simplify]: Simplify (+ 0 1) into 1 2.324 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.326 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.327 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.327 * [backup-simplify]: Simplify 1.0 into 1.0 2.327 * [backup-simplify]: Simplify (* 1 1) into 1 2.328 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.328 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify (+ 1 0) into 1 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 2.329 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))) into (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 2.329 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 2.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 2.329 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.329 * [taylor]: Taking taylor expansion of 1.0 in N 2.329 * [backup-simplify]: Simplify 1.0 into 1.0 2.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.329 * [taylor]: Taking taylor expansion of N in N 2.329 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (/ 1 1) into 1 2.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.330 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.330 * [taylor]: Taking taylor expansion of N in N 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (* 1 1) into 1 2.331 * [backup-simplify]: Simplify (/ 1 1) into 1 2.331 * [taylor]: Taking taylor expansion of 1 in N 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 2.331 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.331 * [taylor]: Taking taylor expansion of 1.0 in N 2.331 * [backup-simplify]: Simplify 1.0 into 1.0 2.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (/ 1 1) into 1 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.331 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (* 1 1) into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.332 * [taylor]: Taking taylor expansion of 1 in N 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (+ 1 0) into 1 2.333 * [backup-simplify]: Simplify (+ 0 1) into 1 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.335 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.335 * [backup-simplify]: Simplify 1.0 into 1.0 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (+ 0 1) into 1 2.339 * [backup-simplify]: Simplify (+ 0 1) into 1 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 2.339 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 2.339 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 2.339 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 2.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.339 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.339 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (* 1 1) into 1 2.340 * [backup-simplify]: Simplify (/ 1 1) into 1 2.340 * [taylor]: Taking taylor expansion of 1 in N 2.340 * [backup-simplify]: Simplify 1 into 1 2.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.340 * [taylor]: Taking taylor expansion of 1.0 in N 2.340 * [backup-simplify]: Simplify 1.0 into 1.0 2.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.340 * [taylor]: Taking taylor expansion of N in N 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (/ 1 1) into 1 2.341 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 2.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.341 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.341 * [taylor]: Taking taylor expansion of N in N 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (* 1 1) into 1 2.341 * [backup-simplify]: Simplify (/ 1 1) into 1 2.341 * [taylor]: Taking taylor expansion of 1 in N 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.342 * [taylor]: Taking taylor expansion of 1.0 in N 2.342 * [backup-simplify]: Simplify 1.0 into 1.0 2.342 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.342 * [taylor]: Taking taylor expansion of N in N 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (/ 1 1) into 1 2.342 * [backup-simplify]: Simplify (+ 1 0) into 1 2.343 * [backup-simplify]: Simplify (+ 1 0) into 1 2.343 * [backup-simplify]: Simplify 1 into 1 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.345 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.346 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.346 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (+ 0 1) into 1 2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify (- 0) into 0 2.350 * [backup-simplify]: Simplify (+ 1 0) into 1 2.350 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 2.351 * * * [progress]: simplifying candidates 2.352 * [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) (* (exp 1) (exp (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ (pow 1 3) (pow (* (+ N 1.0) N) 3)) (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N)))) (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 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)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 2.353 * * [simplify]: Extracting # 0 : cost 0 2.353 * * [simplify]: Extracting # 1 : cost 0 2.354 * * [simplify]: Extracting # 2 : cost 0 2.354 * * [simplify]: Extracting # 3 : cost 0 2.354 * * [simplify]: Extracting # 4 : cost 0 2.354 * * [simplify]: Extracting # 5 : cost 0 2.354 * * [simplify]: iteration 0 : 73 enodes (cost 489 ) 2.389 * * [simplify]: Extracting # 0 : cost 0 2.389 * * [simplify]: Extracting # 1 : cost 0 2.390 * * [simplify]: Extracting # 2 : cost 0 2.390 * * [simplify]: Extracting # 3 : cost 0 2.390 * * [simplify]: Extracting # 4 : cost 0 2.391 * * [simplify]: iteration 1 : 175 enodes (cost 461 ) 2.519 * * [simplify]: Extracting # 0 : cost 0 2.519 * * [simplify]: Extracting # 1 : cost 0 2.520 * * [simplify]: Extracting # 2 : cost 0 2.520 * * [simplify]: Extracting # 3 : cost 0 2.521 * * [simplify]: Extracting # 4 : cost 0 2.521 * * [simplify]: iteration 2 : 517 enodes (cost 403 ) 3.214 * * [simplify]: Extracting # 0 : cost 0 3.218 * * [simplify]: Extracting # 1 : cost 0 3.220 * * [simplify]: Extracting # 2 : cost 0 3.222 * * [simplify]: Extracting # 3 : cost 0 3.224 * * [simplify]: Extracting # 4 : cost 0 3.225 * * [simplify]: iteration 3 : 1850 enodes (cost 403 ) 4.259 * * [simplify]: Extracting # 0 : cost 0 4.265 * * [simplify]: Extracting # 1 : cost 0 4.270 * * [simplify]: Extracting # 2 : cost 0 4.276 * * [simplify]: Extracting # 3 : cost 0 4.291 * * [simplify]: Extracting # 4 : cost 0 4.301 * * [simplify]: iteration done: 5001 enodes (cost 403 ) 4.302 * [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) (exp (+ 1 (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (pow (+ (* (+ N 1.0) N) 1) 3) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ (pow (* (+ N 1.0) N) 3) 1) (+ 1 (* (* (+ N 1.0) N) (- (* (+ N 1.0) N) 1))) (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 1.0) N)) (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (+ (* (+ N 1.0) N) 1) (+ (* (+ N 1.0) N) 1) (+ (* (+ N 1.0) N) 1) 4.302 * * * [progress]: adding candidates to table 4.424 * * [progress]: iteration 3 / 4 4.424 * * * [progress]: picking best candidate 4.443 * * * * [pick]: Picked # 4.443 * * * [progress]: localizing error 4.463 * * * [progress]: generating rewritten candidates 4.463 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.471 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 4.479 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 4.487 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.524 * * * [progress]: generating series expansions 4.524 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.524 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.524 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.524 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.524 * [taylor]: Taking taylor expansion of 1/3 in N 4.524 * [backup-simplify]: Simplify 1/3 into 1/3 4.525 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.525 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.525 * [taylor]: Taking taylor expansion of N in N 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify 1 into 1 4.525 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.525 * [taylor]: Taking taylor expansion of N in N 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify 1 into 1 4.525 * [taylor]: Taking taylor expansion of 1.0 in N 4.525 * [backup-simplify]: Simplify 1.0 into 1.0 4.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.526 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.526 * [backup-simplify]: Simplify (+ 1 0) into 1 4.528 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.528 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.529 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.530 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.530 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.530 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.530 * [taylor]: Taking taylor expansion of 1/3 in N 4.530 * [backup-simplify]: Simplify 1/3 into 1/3 4.530 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.530 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.530 * [taylor]: Taking taylor expansion of N in N 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.531 * [taylor]: Taking taylor expansion of N in N 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [taylor]: Taking taylor expansion of 1.0 in N 4.531 * [backup-simplify]: Simplify 1.0 into 1.0 4.531 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.532 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.532 * [backup-simplify]: Simplify (+ 1 0) into 1 4.539 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.540 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.541 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.541 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.542 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.543 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.543 * [backup-simplify]: Simplify (+ 0 0) into 0 4.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.550 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.551 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.554 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.555 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.555 * [backup-simplify]: Simplify (+ 0 0) into 0 4.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.569 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.572 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.583 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.587 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.593 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.594 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.594 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.594 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.594 * [taylor]: Taking taylor expansion of 1/3 in N 4.594 * [backup-simplify]: Simplify 1/3 into 1/3 4.594 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.594 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.594 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.594 * [taylor]: Taking taylor expansion of N in N 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.595 * [backup-simplify]: Simplify (/ 1 1) into 1 4.595 * [taylor]: Taking taylor expansion of 1.0 in N 4.595 * [backup-simplify]: Simplify 1.0 into 1.0 4.595 * [taylor]: Taking taylor expansion of N in N 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify 1 into 1 4.596 * [backup-simplify]: Simplify (+ 1 0) into 1 4.596 * [backup-simplify]: Simplify (/ 1 1) into 1 4.596 * [backup-simplify]: Simplify (log 1) into 0 4.597 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.597 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.597 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.597 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.597 * [taylor]: Taking taylor expansion of 1/3 in N 4.598 * [backup-simplify]: Simplify 1/3 into 1/3 4.598 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.598 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.598 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.598 * [taylor]: Taking taylor expansion of N in N 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (/ 1 1) into 1 4.598 * [taylor]: Taking taylor expansion of 1.0 in N 4.598 * [backup-simplify]: Simplify 1.0 into 1.0 4.598 * [taylor]: Taking taylor expansion of N in N 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify (+ 1 0) into 1 4.599 * [backup-simplify]: Simplify (/ 1 1) into 1 4.600 * [backup-simplify]: Simplify (log 1) into 0 4.600 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.600 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.600 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.601 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.604 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.610 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.611 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.614 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.614 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (+ 0 0) into 0 4.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.628 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.629 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.634 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.634 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.635 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.636 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.636 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.636 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.636 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.636 * [taylor]: Taking taylor expansion of -1 in N 4.636 * [backup-simplify]: Simplify -1 into -1 4.637 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.637 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.637 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.638 * [taylor]: Taking taylor expansion of 1/3 in N 4.638 * [backup-simplify]: Simplify 1/3 into 1/3 4.638 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.638 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.638 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.638 * [taylor]: Taking taylor expansion of 1.0 in N 4.638 * [backup-simplify]: Simplify 1.0 into 1.0 4.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.638 * [taylor]: Taking taylor expansion of N in N 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.638 * [backup-simplify]: Simplify (/ 1 1) into 1 4.638 * [taylor]: Taking taylor expansion of N in N 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.639 * [backup-simplify]: Simplify (- 1) into -1 4.639 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.640 * [backup-simplify]: Simplify (/ -1 1) into -1 4.640 * [backup-simplify]: Simplify (log -1) into (log -1) 4.641 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.641 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.642 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.642 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.642 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.642 * [taylor]: Taking taylor expansion of -1 in N 4.642 * [backup-simplify]: Simplify -1 into -1 4.642 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.643 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.643 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.643 * [taylor]: Taking taylor expansion of 1/3 in N 4.643 * [backup-simplify]: Simplify 1/3 into 1/3 4.643 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.643 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.643 * [taylor]: Taking taylor expansion of 1.0 in N 4.643 * [backup-simplify]: Simplify 1.0 into 1.0 4.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.643 * [taylor]: Taking taylor expansion of N in N 4.643 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [backup-simplify]: Simplify (/ 1 1) into 1 4.644 * [taylor]: Taking taylor expansion of N in N 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [backup-simplify]: Simplify (- 1) into -1 4.645 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.645 * [backup-simplify]: Simplify (/ -1 1) into -1 4.646 * [backup-simplify]: Simplify (log -1) into (log -1) 4.646 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.647 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.647 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.648 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.649 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.651 * [backup-simplify]: Simplify (- 0) into 0 4.651 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.653 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.661 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.662 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.666 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.667 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.669 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (- 0) into 0 4.670 * [backup-simplify]: Simplify (+ 0 0) into 0 4.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.684 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.690 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.697 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.701 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.702 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.707 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.707 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 4.707 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.707 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.707 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.707 * [taylor]: Taking taylor expansion of 1/3 in N 4.707 * [backup-simplify]: Simplify 1/3 into 1/3 4.707 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.707 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.707 * [taylor]: Taking taylor expansion of N in N 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.707 * [taylor]: Taking taylor expansion of N in N 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [taylor]: Taking taylor expansion of 1.0 in N 4.707 * [backup-simplify]: Simplify 1.0 into 1.0 4.708 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.708 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.709 * [backup-simplify]: Simplify (+ 1 0) into 1 4.710 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.711 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.711 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.712 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.712 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.712 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.712 * [taylor]: Taking taylor expansion of 1/3 in N 4.712 * [backup-simplify]: Simplify 1/3 into 1/3 4.712 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.712 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.712 * [taylor]: Taking taylor expansion of N in N 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.712 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.712 * [taylor]: Taking taylor expansion of N in N 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.712 * [taylor]: Taking taylor expansion of 1.0 in N 4.712 * [backup-simplify]: Simplify 1.0 into 1.0 4.713 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.713 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.713 * [backup-simplify]: Simplify (+ 1 0) into 1 4.714 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.714 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.715 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.715 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.715 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.716 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.720 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.721 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.722 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.723 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.723 * [backup-simplify]: Simplify (+ 0 0) into 0 4.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.730 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.732 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.738 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.740 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.743 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.743 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.743 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.743 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.744 * [taylor]: Taking taylor expansion of 1/3 in N 4.744 * [backup-simplify]: Simplify 1/3 into 1/3 4.744 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.744 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.744 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.744 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.744 * [taylor]: Taking taylor expansion of N in N 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 1 into 1 4.744 * [backup-simplify]: Simplify (/ 1 1) into 1 4.744 * [taylor]: Taking taylor expansion of 1.0 in N 4.744 * [backup-simplify]: Simplify 1.0 into 1.0 4.744 * [taylor]: Taking taylor expansion of N in N 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 1 into 1 4.745 * [backup-simplify]: Simplify (+ 1 0) into 1 4.745 * [backup-simplify]: Simplify (/ 1 1) into 1 4.746 * [backup-simplify]: Simplify (log 1) into 0 4.746 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.746 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.746 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.746 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.747 * [taylor]: Taking taylor expansion of 1/3 in N 4.747 * [backup-simplify]: Simplify 1/3 into 1/3 4.747 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.747 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.747 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.747 * [taylor]: Taking taylor expansion of N in N 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [backup-simplify]: Simplify (/ 1 1) into 1 4.747 * [taylor]: Taking taylor expansion of 1.0 in N 4.747 * [backup-simplify]: Simplify 1.0 into 1.0 4.747 * [taylor]: Taking taylor expansion of N in N 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.748 * [backup-simplify]: Simplify (+ 1 0) into 1 4.748 * [backup-simplify]: Simplify (/ 1 1) into 1 4.749 * [backup-simplify]: Simplify (log 1) into 0 4.749 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.749 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.749 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.749 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.751 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.753 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.760 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.760 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.763 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.764 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.778 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.779 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.785 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.785 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.787 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.787 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.787 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.787 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.787 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.787 * [taylor]: Taking taylor expansion of -1 in N 4.787 * [backup-simplify]: Simplify -1 into -1 4.788 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.788 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.789 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.789 * [taylor]: Taking taylor expansion of 1/3 in N 4.789 * [backup-simplify]: Simplify 1/3 into 1/3 4.789 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.789 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.789 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.789 * [taylor]: Taking taylor expansion of 1.0 in N 4.789 * [backup-simplify]: Simplify 1.0 into 1.0 4.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.789 * [taylor]: Taking taylor expansion of N in N 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.789 * [backup-simplify]: Simplify (/ 1 1) into 1 4.789 * [taylor]: Taking taylor expansion of N in N 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.790 * [backup-simplify]: Simplify (- 1) into -1 4.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.791 * [backup-simplify]: Simplify (/ -1 1) into -1 4.791 * [backup-simplify]: Simplify (log -1) into (log -1) 4.792 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.793 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.794 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.794 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.794 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.794 * [taylor]: Taking taylor expansion of -1 in N 4.794 * [backup-simplify]: Simplify -1 into -1 4.794 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.795 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.795 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.795 * [taylor]: Taking taylor expansion of 1/3 in N 4.796 * [backup-simplify]: Simplify 1/3 into 1/3 4.796 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.796 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.796 * [taylor]: Taking taylor expansion of 1.0 in N 4.796 * [backup-simplify]: Simplify 1.0 into 1.0 4.796 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.796 * [taylor]: Taking taylor expansion of N in N 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.796 * [backup-simplify]: Simplify (/ 1 1) into 1 4.796 * [taylor]: Taking taylor expansion of N in N 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (- 1) into -1 4.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.798 * [backup-simplify]: Simplify (/ -1 1) into -1 4.798 * [backup-simplify]: Simplify (log -1) into (log -1) 4.799 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.799 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.800 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.801 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.802 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify (- 0) into 0 4.804 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.806 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.814 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.820 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.824 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.825 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.827 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.828 * [backup-simplify]: Simplify (- 0) into 0 4.828 * [backup-simplify]: Simplify (+ 0 0) into 0 4.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.835 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.835 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.836 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.840 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.842 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.843 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.846 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.846 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 4.846 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.846 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.846 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.846 * [taylor]: Taking taylor expansion of 1/3 in N 4.846 * [backup-simplify]: Simplify 1/3 into 1/3 4.846 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.846 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.846 * [taylor]: Taking taylor expansion of N in N 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify 1 into 1 4.846 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.846 * [taylor]: Taking taylor expansion of N in N 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify 1 into 1 4.846 * [taylor]: Taking taylor expansion of 1.0 in N 4.846 * [backup-simplify]: Simplify 1.0 into 1.0 4.847 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.847 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.847 * [backup-simplify]: Simplify (+ 1 0) into 1 4.848 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.848 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.849 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.849 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.849 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.849 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.850 * [taylor]: Taking taylor expansion of 1/3 in N 4.850 * [backup-simplify]: Simplify 1/3 into 1/3 4.850 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.850 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.850 * [taylor]: Taking taylor expansion of N in N 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.850 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.850 * [taylor]: Taking taylor expansion of N in N 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.850 * [taylor]: Taking taylor expansion of 1.0 in N 4.850 * [backup-simplify]: Simplify 1.0 into 1.0 4.850 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.850 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.851 * [backup-simplify]: Simplify (+ 1 0) into 1 4.851 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.852 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.852 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.852 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.853 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.853 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.853 * [backup-simplify]: Simplify (+ 0 0) into 0 4.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.859 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.860 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.864 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.864 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.865 * [backup-simplify]: Simplify (+ 0 0) into 0 4.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.875 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.877 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.883 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.886 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.889 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.889 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.889 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.889 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.889 * [taylor]: Taking taylor expansion of 1/3 in N 4.889 * [backup-simplify]: Simplify 1/3 into 1/3 4.889 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.889 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.889 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.889 * [taylor]: Taking taylor expansion of N in N 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 1 into 1 4.889 * [backup-simplify]: Simplify (/ 1 1) into 1 4.889 * [taylor]: Taking taylor expansion of 1.0 in N 4.889 * [backup-simplify]: Simplify 1.0 into 1.0 4.889 * [taylor]: Taking taylor expansion of N in N 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 1 into 1 4.890 * [backup-simplify]: Simplify (+ 1 0) into 1 4.890 * [backup-simplify]: Simplify (/ 1 1) into 1 4.890 * [backup-simplify]: Simplify (log 1) into 0 4.890 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.891 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.891 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.891 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.891 * [taylor]: Taking taylor expansion of 1/3 in N 4.891 * [backup-simplify]: Simplify 1/3 into 1/3 4.891 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.891 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.891 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.891 * [taylor]: Taking taylor expansion of N in N 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (/ 1 1) into 1 4.891 * [taylor]: Taking taylor expansion of 1.0 in N 4.891 * [backup-simplify]: Simplify 1.0 into 1.0 4.891 * [taylor]: Taking taylor expansion of N in N 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (+ 1 0) into 1 4.892 * [backup-simplify]: Simplify (/ 1 1) into 1 4.892 * [backup-simplify]: Simplify (log 1) into 0 4.892 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.892 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.892 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.892 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.893 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.894 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.899 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.899 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.901 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.902 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (+ 0 0) into 0 4.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.916 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.917 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.923 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.924 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.925 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.925 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 4.925 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 4.925 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.925 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.925 * [taylor]: Taking taylor expansion of -1 in N 4.925 * [backup-simplify]: Simplify -1 into -1 4.926 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.933 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.933 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.933 * [taylor]: Taking taylor expansion of 1/3 in N 4.933 * [backup-simplify]: Simplify 1/3 into 1/3 4.934 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.934 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.934 * [taylor]: Taking taylor expansion of 1.0 in N 4.934 * [backup-simplify]: Simplify 1.0 into 1.0 4.934 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.934 * [taylor]: Taking taylor expansion of N in N 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [backup-simplify]: Simplify (/ 1 1) into 1 4.935 * [taylor]: Taking taylor expansion of N in N 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (- 1) into -1 4.936 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.936 * [backup-simplify]: Simplify (/ -1 1) into -1 4.937 * [backup-simplify]: Simplify (log -1) into (log -1) 4.937 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.938 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.939 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.939 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 4.939 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.939 * [taylor]: Taking taylor expansion of -1 in N 4.939 * [backup-simplify]: Simplify -1 into -1 4.939 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.940 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.940 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.940 * [taylor]: Taking taylor expansion of 1/3 in N 4.940 * [backup-simplify]: Simplify 1/3 into 1/3 4.940 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.940 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.940 * [taylor]: Taking taylor expansion of 1.0 in N 4.940 * [backup-simplify]: Simplify 1.0 into 1.0 4.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.940 * [taylor]: Taking taylor expansion of N in N 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (/ 1 1) into 1 4.941 * [taylor]: Taking taylor expansion of N in N 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (- 1) into -1 4.942 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.942 * [backup-simplify]: Simplify (/ -1 1) into -1 4.942 * [backup-simplify]: Simplify (log -1) into (log -1) 4.943 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.944 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.944 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.946 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.947 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.948 * [backup-simplify]: Simplify (- 0) into 0 4.948 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.950 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.958 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.959 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.963 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.964 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.965 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (- 0) into 0 4.966 * [backup-simplify]: Simplify (+ 0 0) into 0 4.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.973 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.974 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.978 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.981 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.981 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.985 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.985 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.985 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) 4.985 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 4.985 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.985 * [taylor]: Taking taylor expansion of 1/3 in N 4.985 * [backup-simplify]: Simplify 1/3 into 1/3 4.985 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.985 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.985 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.985 * [taylor]: Taking taylor expansion of N in N 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify 1 into 1 4.985 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.985 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.985 * [taylor]: Taking taylor expansion of N in N 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify 1 into 1 4.985 * [taylor]: Taking taylor expansion of 1.0 in N 4.985 * [backup-simplify]: Simplify 1.0 into 1.0 4.986 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.986 * [backup-simplify]: Simplify (* 1 1) into 1 4.986 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.987 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.987 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.987 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.988 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.988 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.988 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.988 * [taylor]: Taking taylor expansion of 1/3 in N 4.988 * [backup-simplify]: Simplify 1/3 into 1/3 4.988 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.988 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.988 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.988 * [taylor]: Taking taylor expansion of N in N 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.988 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.988 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.988 * [taylor]: Taking taylor expansion of N in N 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.988 * [taylor]: Taking taylor expansion of 1.0 in N 4.988 * [backup-simplify]: Simplify 1.0 into 1.0 4.989 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.989 * [backup-simplify]: Simplify (* 1 1) into 1 4.989 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.990 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.990 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.990 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.991 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.991 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.992 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.992 * [backup-simplify]: Simplify (+ 1 0) into 1 4.994 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 4.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.996 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 5.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 5.004 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 5.005 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 5.008 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 5.008 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 5.009 * [backup-simplify]: Simplify (+ 0 0) into 0 5.010 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 5.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.012 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 5.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 5.027 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 5.035 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 5.047 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 5.051 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 5.056 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) 5.057 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) 5.057 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 5.057 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 5.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 5.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 5.057 * [taylor]: Taking taylor expansion of 1/3 in N 5.057 * [backup-simplify]: Simplify 1/3 into 1/3 5.057 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 5.057 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 5.057 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 5.057 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.057 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.057 * [taylor]: Taking taylor expansion of N in N 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 1 into 1 5.058 * [backup-simplify]: Simplify (/ 1 1) into 1 5.058 * [taylor]: Taking taylor expansion of 1.0 in N 5.058 * [backup-simplify]: Simplify 1.0 into 1.0 5.058 * [backup-simplify]: Simplify (+ 1 0) into 1 5.058 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.058 * [taylor]: Taking taylor expansion of N in N 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (* 1 1) into 1 5.059 * [backup-simplify]: Simplify (* 1 1) into 1 5.060 * [backup-simplify]: Simplify (/ 1 1) into 1 5.060 * [backup-simplify]: Simplify (log 1) into 0 5.061 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.061 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.061 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.061 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 5.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 5.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 5.061 * [taylor]: Taking taylor expansion of 1/3 in N 5.061 * [backup-simplify]: Simplify 1/3 into 1/3 5.061 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 5.061 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 5.061 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 5.061 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.061 * [taylor]: Taking taylor expansion of N in N 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 1 into 1 5.062 * [backup-simplify]: Simplify (/ 1 1) into 1 5.062 * [taylor]: Taking taylor expansion of 1.0 in N 5.062 * [backup-simplify]: Simplify 1.0 into 1.0 5.062 * [backup-simplify]: Simplify (+ 1 0) into 1 5.062 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.062 * [taylor]: Taking taylor expansion of N in N 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 1 into 1 5.063 * [backup-simplify]: Simplify (* 1 1) into 1 5.063 * [backup-simplify]: Simplify (* 1 1) into 1 5.068 * [backup-simplify]: Simplify (/ 1 1) into 1 5.069 * [backup-simplify]: Simplify (log 1) into 0 5.069 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.069 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.069 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.070 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 5.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.071 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.072 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 5.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.075 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 5.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 5.082 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.082 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 5.085 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 5.085 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify (+ 0 0) into 0 5.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 5.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.093 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 5.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 5.108 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.109 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 5.114 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 5.115 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 5.116 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) 5.116 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) 5.116 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 5.116 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 5.116 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.116 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.116 * [taylor]: Taking taylor expansion of -1 in N 5.116 * [backup-simplify]: Simplify -1 into -1 5.117 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.118 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.118 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 5.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 5.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 5.118 * [taylor]: Taking taylor expansion of 1/3 in N 5.118 * [backup-simplify]: Simplify 1/3 into 1/3 5.118 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 5.118 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 5.118 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 5.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.118 * [taylor]: Taking taylor expansion of 1.0 in N 5.118 * [backup-simplify]: Simplify 1.0 into 1.0 5.118 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.118 * [taylor]: Taking taylor expansion of N in N 5.118 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (/ 1 1) into 1 5.119 * [backup-simplify]: Simplify (- 1) into -1 5.119 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.119 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.119 * [taylor]: Taking taylor expansion of N in N 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 1 into 1 5.120 * [backup-simplify]: Simplify (* -1 -1) into 1 5.120 * [backup-simplify]: Simplify (* 1 1) into 1 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.121 * [backup-simplify]: Simplify (log 1) into 0 5.121 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.122 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.122 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.122 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 5.122 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.122 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.122 * [taylor]: Taking taylor expansion of -1 in N 5.122 * [backup-simplify]: Simplify -1 into -1 5.122 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.123 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.123 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 5.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 5.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 5.123 * [taylor]: Taking taylor expansion of 1/3 in N 5.123 * [backup-simplify]: Simplify 1/3 into 1/3 5.123 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 5.123 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 5.123 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 5.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.123 * [taylor]: Taking taylor expansion of 1.0 in N 5.123 * [backup-simplify]: Simplify 1.0 into 1.0 5.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.123 * [taylor]: Taking taylor expansion of N in N 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.124 * [backup-simplify]: Simplify (/ 1 1) into 1 5.124 * [backup-simplify]: Simplify (- 1) into -1 5.125 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.125 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.125 * [taylor]: Taking taylor expansion of N in N 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (* -1 -1) into 1 5.125 * [backup-simplify]: Simplify (* 1 1) into 1 5.126 * [backup-simplify]: Simplify (/ 1 1) into 1 5.126 * [backup-simplify]: Simplify (log 1) into 0 5.126 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.127 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.127 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.128 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.128 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -4/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 5.129 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 5.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (- 0) into 0 5.130 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.131 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 5.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.133 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 5.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 5.138 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.138 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 5.140 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 5.141 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.142 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 5.143 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 5.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (- 0) into 0 5.144 * [backup-simplify]: Simplify (+ 0 0) into 0 5.145 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 5.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.147 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 5.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 5.162 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.163 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 5.171 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 5.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.173 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.175 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* 0 (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 5.177 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 5.182 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (/ 1 (- N))) (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) into (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 5.182 * * * [progress]: simplifying candidates 5.185 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 5.190 * * [simplify]: Extracting # 0 : cost 0 5.190 * * [simplify]: Extracting # 1 : cost 0 5.190 * * [simplify]: Extracting # 2 : cost 0 5.190 * * [simplify]: Extracting # 3 : cost 0 5.191 * * [simplify]: Extracting # 4 : cost 0 5.191 * * [simplify]: Extracting # 5 : cost 0 5.192 * * [simplify]: Extracting # 6 : cost 0 5.192 * * [simplify]: Extracting # 7 : cost 0 5.192 * * [simplify]: Extracting # 8 : cost 0 5.193 * * [simplify]: Extracting # 9 : cost 0 5.193 * * [simplify]: Extracting # 10 : cost 0 5.193 * * [simplify]: Extracting # 11 : cost 0 5.194 * * [simplify]: Extracting # 12 : cost 0 5.194 * * [simplify]: Extracting # 13 : cost 0 5.194 * * [simplify]: Extracting # 14 : cost 0 5.195 * * [simplify]: Extracting # 15 : cost 0 5.195 * * [simplify]: iteration 0 : 152 enodes (cost 1527 ) 5.241 * * [simplify]: Extracting # 0 : cost 0 5.242 * * [simplify]: Extracting # 1 : cost 0 5.242 * * [simplify]: Extracting # 2 : cost 0 5.242 * * [simplify]: Extracting # 3 : cost 0 5.243 * * [simplify]: Extracting # 4 : cost 0 5.243 * * [simplify]: Extracting # 5 : cost 0 5.244 * * [simplify]: iteration 1 : 354 enodes (cost 1427 ) 5.367 * * [simplify]: Extracting # 0 : cost 0 5.375 * * [simplify]: Extracting # 1 : cost 0 5.377 * * [simplify]: Extracting # 2 : cost 0 5.379 * * [simplify]: Extracting # 3 : cost 0 5.381 * * [simplify]: Extracting # 4 : cost 0 5.383 * * [simplify]: iteration 2 : 973 enodes (cost 1328 ) 5.895 * * [simplify]: Extracting # 0 : cost 0 5.898 * * [simplify]: Extracting # 1 : cost 0 5.901 * * [simplify]: Extracting # 2 : cost 0 5.905 * * [simplify]: Extracting # 3 : cost 0 5.911 * * [simplify]: Extracting # 4 : cost 0 5.916 * * [simplify]: iteration 3 : 2854 enodes (cost 1135 ) 6.909 * * [simplify]: Extracting # 0 : cost 0 6.919 * * [simplify]: Extracting # 1 : cost 0 6.926 * * [simplify]: Extracting # 2 : cost 0 6.934 * * [simplify]: Extracting # 3 : cost 0 6.940 * * [simplify]: Extracting # 4 : cost 0 6.945 * * [simplify]: Extracting # 5 : cost 0 6.950 * * [simplify]: iteration done: 5001 enodes (cost 1091 ) 6.951 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) 2/3 2 (pow (cbrt (* (+ N 1.0) N)) 6) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) 2 (* 2 (log (cbrt (* (+ N 1.0) N)))) (* 2 (log (cbrt (* (+ N 1.0) N)))) (exp (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (pow (cbrt (* (+ N 1.0) N)) 6) (* (cbrt (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (cbrt (pow (sqrt (cbrt (* (+ N 1.0) N))) 4))) (cbrt (pow (sqrt (cbrt (* (+ N 1.0) N))) 4)) (pow (cbrt (* (+ N 1.0) N)) 6) (fabs (cbrt (* (+ N 1.0) N))) (fabs (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow N 2/3) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 1 (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 2/3 2 (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (pow (cbrt (cbrt (* (+ N 1.0) N))) (+ 4 1)) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (cbrt (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (pow (cbrt (cbrt (* (+ N 1.0) N))) 4) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (pow (sqrt (cbrt (* (+ N 1.0) N))) 4) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* 1/6 (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0)))) (cbrt (* N 1.0)))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (* (* (cbrt (/ -1 (pow (/ -1 N) 2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (- (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* 1/6 (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0)))) (cbrt (* N 1.0)))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (* (* (cbrt (/ -1 (pow (/ -1 N) 2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (- (* (cbrt (* N 1.0)) (+ (* N 0.3333333333333333) (* (* N N) 0.05555555555555555))) (- (* 1/6 (* (* N N) (/ (cbrt (* N 1.0)) (* 1.0 1.0)))) (cbrt (* N 1.0)))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4)))))) (+ (* (* (cbrt (/ -1 (pow (/ -1 N) 2))) (/ (cbrt -1) N)) (- 0.3333333333333333 (/ 0.1111111111111111 N))) (* (cbrt (/ -1 (pow (/ -1 N) 2))) (cbrt -1))) (- (* (cbrt (* 1.0 (* N N))) (+ (* 0.6666666666666666 N) (+ (* 0.5555555555555556 (* N N)) 1))) (* (/ 0.6666666666666666 (/ 1.0 (cbrt 1.0))) (/ (* N N) (/ 1.0 (pow N 2/3))))) (- (+ (* 0.6666666666666666 (cbrt N)) (pow (/ 1 N) -4/3)) (* (cbrt (/ 1 (pow N 2))) 0.1111111111111111)) (+ (* (* 0.6666666666666666 (pow (cbrt -1) 2)) (cbrt N)) (* (pow (cbrt -1) 2) (- (cbrt (pow N 4)) (* (cbrt (/ 1 (pow N 2))) 0.1111111111111111)))) 6.952 * * * [progress]: adding candidates to table 7.237 * * [progress]: iteration 4 / 4 7.237 * * * [progress]: picking best candidate 7.248 * * * * [pick]: Picked # 7.248 * * * [progress]: localizing error 7.260 * * * [progress]: generating rewritten candidates 7.260 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.262 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.263 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.279 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.283 * * * [progress]: generating series expansions 7.284 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.284 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.284 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 7.284 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 7.284 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.284 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.284 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.285 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 7.285 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.285 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.285 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.285 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.285 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.286 * [backup-simplify]: Simplify 0 into 0 7.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.287 * [backup-simplify]: Simplify 0 into 0 7.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.288 * [backup-simplify]: Simplify 0 into 0 7.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.289 * [backup-simplify]: Simplify 0 into 0 7.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.289 * [backup-simplify]: Simplify 0 into 0 7.289 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.290 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.290 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 7.290 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 7.290 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.290 * [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))) 7.290 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.290 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 7.290 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.291 * [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))) 7.291 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.291 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.291 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.292 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.293 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.293 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.294 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.295 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.295 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 7.295 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 7.295 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.296 * [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)))) 7.296 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.296 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 7.296 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.296 * [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)))) 7.297 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.297 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.297 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.298 * [backup-simplify]: Simplify 0 into 0 7.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.299 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.300 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.301 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.302 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.302 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 7.302 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 7.302 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.302 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.302 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.302 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 7.302 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.302 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.303 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.303 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.303 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.304 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.304 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0 7.306 * [backup-simplify]: Simplify 0 into 0 7.307 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.307 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.307 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 7.307 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 7.307 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.307 * [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))) 7.307 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.308 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 7.308 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.308 * [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))) 7.308 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.309 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.312 * [backup-simplify]: Simplify 0 into 0 7.313 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0 7.313 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.314 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.314 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 7.314 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 7.314 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.315 * [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)))) 7.315 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.315 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 7.315 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.316 * [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)))) 7.316 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.317 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) 7.317 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.318 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 7.324 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.324 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.324 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 7.324 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.324 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.324 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.325 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.325 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.326 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 7.326 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 7.326 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.326 * [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))) 7.326 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.327 * [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))) 7.327 * [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))) 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.328 * [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))) 7.328 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.328 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 7.328 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.329 * [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)))) 7.329 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.329 * [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)))) 7.329 * [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)))) 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [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))) 7.330 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.330 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.330 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 7.330 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.331 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.331 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.331 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.331 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.332 * [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))) 7.332 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 7.332 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.333 * [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))) 7.333 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.333 * [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))) 7.333 * [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))) 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [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))) 7.334 * [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)))) 7.334 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 7.334 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.335 * [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)))) 7.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.335 * [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)))) 7.335 * [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)))) 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify 0 into 0 7.336 * [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))) 7.336 * * * [progress]: simplifying candidates 7.337 * [simplify]: Simplifying: (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (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))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (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))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (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))))) (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (exp (* (sqrt (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)))) (sqrt (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)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (cbrt (* (sqrt (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)))) (sqrt (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)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (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 (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* 1 1) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (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)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (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)))) (sqrt (atan2 1.0 (+ 1 (* (+ 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)))) (* (* (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)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (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))) (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))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.344 * * [simplify]: Extracting # 0 : cost 0 7.344 * * [simplify]: Extracting # 1 : cost 0 7.344 * * [simplify]: Extracting # 2 : cost 0 7.344 * * [simplify]: Extracting # 3 : cost 0 7.344 * * [simplify]: Extracting # 4 : cost 0 7.344 * * [simplify]: Extracting # 5 : cost 0 7.344 * * [simplify]: Extracting # 6 : cost 0 7.344 * * [simplify]: Extracting # 7 : cost 0 7.345 * * [simplify]: Extracting # 8 : cost 0 7.345 * * [simplify]: Extracting # 9 : cost 0 7.345 * * [simplify]: iteration 0 : 64 enodes (cost 1843 ) 7.362 * * [simplify]: Extracting # 0 : cost 0 7.362 * * [simplify]: Extracting # 1 : cost 0 7.362 * * [simplify]: Extracting # 2 : cost 0 7.362 * * [simplify]: iteration 1 : 104 enodes (cost 1267 ) 7.389 * * [simplify]: Extracting # 0 : cost 0 7.389 * * [simplify]: Extracting # 1 : cost 0 7.389 * * [simplify]: Extracting # 2 : cost 0 7.389 * * [simplify]: Extracting # 3 : cost 0 7.390 * * [simplify]: iteration 2 : 216 enodes (cost 1115 ) 7.486 * * [simplify]: Extracting # 0 : cost 0 7.486 * * [simplify]: Extracting # 1 : cost 0 7.487 * * [simplify]: Extracting # 2 : cost 0 7.487 * * [simplify]: Extracting # 3 : cost 0 7.487 * * [simplify]: Extracting # 4 : cost 0 7.488 * * [simplify]: iteration 3 : 409 enodes (cost 1064 ) 7.784 * * [simplify]: Extracting # 0 : cost 0 7.786 * * [simplify]: Extracting # 1 : cost 0 7.787 * * [simplify]: Extracting # 2 : cost 0 7.789 * * [simplify]: Extracting # 3 : cost 0 7.790 * * [simplify]: Extracting # 4 : cost 0 7.791 * * [simplify]: iteration 4 : 838 enodes (cost 1028 ) 10.131 * * [simplify]: Extracting # 0 : cost 0 10.135 * * [simplify]: Extracting # 1 : cost 0 10.139 * * [simplify]: Extracting # 2 : cost 0 10.143 * * [simplify]: Extracting # 3 : cost 0 10.147 * * [simplify]: Extracting # 4 : cost 0 10.150 * * [simplify]: iteration 5 : 4762 enodes (cost 998 ) 12.214 * * [simplify]: Extracting # 0 : cost 0 12.225 * * [simplify]: Extracting # 1 : cost 0 12.230 * * [simplify]: Extracting # 2 : cost 0 12.234 * * [simplify]: Extracting # 3 : cost 0 12.238 * * [simplify]: Extracting # 4 : cost 0 12.243 * * [simplify]: iteration done: 5000 enodes (cost 998 ) 12.243 * [simplify]: Simplified to: (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 2) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) 1 (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1/2 (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 2) (cbrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) 1 (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1/2 (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (sqrt (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 4) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 4) 2 (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (pow (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 4) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 2) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1 (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1 (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) 1 2 1 (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 12.244 * * * [progress]: adding candidates to table 12.404 * [progress]: [Phase 3 of 3] Extracting. 12.404 * * [regime]: Finding splitpoints for: (# # # # # # # #) 12.405 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.405 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 12.431 * * * [regime]: Found split indices: #