43.244 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.061 * * [simplify]: iteration 0: 6 enodes 0.062 * * [simplify]: iteration 1: 9 enodes 0.064 * * [simplify]: iteration 2: 10 enodes 0.066 * * [simplify]: iteration complete: 10 enodes 0.066 * * [simplify]: Extracting #0: cost 1 inf + 0 0.066 * * [simplify]: Extracting #1: cost 4 inf + 0 0.066 * * [simplify]: Extracting #2: cost 6 inf + 0 0.066 * * [simplify]: Extracting #3: cost 6 inf + 1 0.067 * * [simplify]: Extracting #4: cost 0 inf + 21 0.067 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.074 * * [progress]: iteration 1 / 4 0.074 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.105 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.107 * * * [progress]: generating series expansions 0.107 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.108 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.108 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.108 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.108 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.108 * [taylor]: Taking taylor expansion of (atan N) in N 0.108 * [backup-simplify]: Simplify (atan N) into (atan N) 0.108 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.108 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.108 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.108 * [taylor]: Taking taylor expansion of (atan N) in N 0.108 * [backup-simplify]: Simplify (atan N) into (atan N) 0.109 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.109 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.109 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [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 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.114 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.114 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.115 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.115 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.115 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.115 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.115 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.115 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.115 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.115 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.115 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.115 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.115 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.115 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.116 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.139 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.139 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.139 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.139 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.139 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.139 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.139 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.139 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.140 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.140 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.140 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.140 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.140 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.140 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.147 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.147 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.147 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.147 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.147 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.147 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.147 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.148 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.148 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.148 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.148 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.148 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.148 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.149 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.149 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.149 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.149 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.149 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.149 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.149 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.150 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.150 * * * [progress]: simplifying candidates 0.151 * [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)) 0.151 * * [simplify]: iteration 0: 40 enodes 0.157 * * [simplify]: iteration 1: 76 enodes 0.169 * * [simplify]: iteration 2: 151 enodes 0.200 * * [simplify]: iteration 3: 326 enodes 0.333 * * [simplify]: iteration 4: 981 enodes 0.956 * * [simplify]: iteration 5: 3795 enodes 2.212 * * [simplify]: iteration complete: 5000 enodes 2.213 * * [simplify]: Extracting #0: cost 23 inf + 0 2.213 * * [simplify]: Extracting #1: cost 200 inf + 1 2.221 * * [simplify]: Extracting #2: cost 1009 inf + 4 2.225 * * [simplify]: Extracting #3: cost 1138 inf + 508 2.229 * * [simplify]: Extracting #4: cost 888 inf + 5157 2.234 * * [simplify]: Extracting #5: cost 151 inf + 21938 2.238 * * [simplify]: Extracting #6: cost 19 inf + 23652 2.243 * * [simplify]: Extracting #7: cost 0 inf + 23767 2.247 * [simplify]: Simplified to: 1.0 (+ (* (+ 1.0 N) N) 1) (exp (- (atan (+ 1.0 N)) (atan N))) (log (- (atan (+ 1.0 N)) (atan N))) (exp (- (atan (+ 1.0 N)) (atan N))) (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N)))) (cbrt (- (atan (+ 1.0 N)) (atan N))) (pow (- (atan (+ 1.0 N)) (atan N)) 3) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (pow (atan (+ 1.0 N)) 3) (pow (atan N) 3)) (+ (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N)))) (* (atan N) (atan N))) (- (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (+ (atan N) (atan (+ 1.0 N)))) (+ (atan N) (atan (+ 1.0 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1.0 N)))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (log (atan (+ 1.0 N))) (exp (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N)))) (cbrt (atan (+ 1.0 N))) (pow (atan (+ 1.0 N)) 3) (sqrt (atan (+ 1.0 N))) (sqrt (atan (+ 1.0 N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (atan (+ 1.0 N)) (atan (+ 1.0 N)) (atan (+ 1.0 N)) 2.248 * * * [progress]: adding candidates to table 2.375 * * [progress]: iteration 2 / 4 2.376 * * * [progress]: picking best candidate 2.378 * * * * [pick]: Picked # 2.378 * * * [progress]: localizing error 2.389 * * * [progress]: generating rewritten candidates 2.389 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.390 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 2.409 * * * [progress]: generating series expansions 2.409 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.409 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (+ 1.0 N) N) 1)) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.409 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 2.409 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.409 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.409 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.409 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.410 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.410 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (+ 1.0 (/ 1 N)) (/ 1 N)) 1)) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.410 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 2.410 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.410 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.410 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.410 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.411 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.411 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (+ 1.0 (/ 1 (- N))) (/ 1 (- N))) 1)) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.411 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.411 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.411 * [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)))) 2.411 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.412 * [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)))) 2.412 * [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)))) 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.412 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 2.412 * [backup-simplify]: Simplify (* (+ 1.0 N) N) into (* N (+ N 1.0)) 2.412 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.412 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.412 * [taylor]: Taking taylor expansion of N in N 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.412 * [taylor]: Taking taylor expansion of N in N 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [taylor]: Taking taylor expansion of 1.0 in N 2.412 * [backup-simplify]: Simplify 1.0 into 1.0 2.412 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.412 * [taylor]: Taking taylor expansion of N in N 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.412 * [taylor]: Taking taylor expansion of N in N 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [taylor]: Taking taylor expansion of 1.0 in N 2.413 * [backup-simplify]: Simplify 1.0 into 1.0 2.413 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.413 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.413 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify (+ 1 0) into 1 2.415 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.415 * [backup-simplify]: Simplify 1.0 into 1.0 2.415 * [backup-simplify]: Simplify (+ 0 0) into 0 2.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.415 * [backup-simplify]: Simplify 1 into 1 2.416 * [backup-simplify]: Simplify (+ 0 0) into 0 2.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.416 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify (+ 0 0) into 0 2.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (+ 0 0) into 0 2.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify (+ 0 0) into 0 2.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify (+ 0 0) into 0 2.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify (+ 0 0) into 0 2.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 2.423 * [backup-simplify]: Simplify (* (+ 1.0 (/ 1 N)) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.423 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.423 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.423 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.423 * [taylor]: Taking taylor expansion of N in N 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (/ 1 1) into 1 2.423 * [taylor]: Taking taylor expansion of 1.0 in N 2.423 * [backup-simplify]: Simplify 1.0 into 1.0 2.423 * [taylor]: Taking taylor expansion of N in N 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (+ 1 0) into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.424 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.424 * [taylor]: Taking taylor expansion of N in N 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [taylor]: Taking taylor expansion of 1.0 in N 2.424 * [backup-simplify]: Simplify 1.0 into 1.0 2.424 * [taylor]: Taking taylor expansion of N in N 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (+ 1 0) into 1 2.425 * [backup-simplify]: Simplify (/ 1 1) into 1 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.427 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.427 * [backup-simplify]: Simplify 1.0 into 1.0 2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (+ 0 0) into 0 2.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.434 * [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 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [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 2.435 * [backup-simplify]: Simplify (+ 0 0) into 0 2.436 * [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 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 2.436 * [backup-simplify]: Simplify (* (+ 1.0 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.436 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.437 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.437 * [taylor]: Taking taylor expansion of -1 in N 2.437 * [backup-simplify]: Simplify -1 into -1 2.437 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.437 * [taylor]: Taking taylor expansion of 1.0 in N 2.437 * [backup-simplify]: Simplify 1.0 into 1.0 2.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.437 * [taylor]: Taking taylor expansion of N in N 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (/ 1 1) into 1 2.437 * [taylor]: Taking taylor expansion of N in N 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (- 1) into -1 2.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.438 * [backup-simplify]: Simplify (/ -1 1) into -1 2.438 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.438 * [taylor]: Taking taylor expansion of -1 in N 2.438 * [backup-simplify]: Simplify -1 into -1 2.438 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.438 * [taylor]: Taking taylor expansion of 1.0 in N 2.438 * [backup-simplify]: Simplify 1.0 into 1.0 2.438 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.438 * [taylor]: Taking taylor expansion of N in N 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (/ 1 1) into 1 2.438 * [taylor]: Taking taylor expansion of N in N 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (- 1) into -1 2.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.439 * [backup-simplify]: Simplify (/ -1 1) into -1 2.440 * [backup-simplify]: Simplify (* -1 -1) into 1 2.440 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.440 * [backup-simplify]: Simplify (- 0) into 0 2.441 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.442 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.443 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.443 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (- 0) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.446 * [backup-simplify]: Simplify (- 0) into 0 2.446 * [backup-simplify]: Simplify (+ 0 0) into 0 2.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.449 * [backup-simplify]: Simplify (+ 0 0) into 0 2.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (- 0) into 0 2.451 * [backup-simplify]: Simplify (+ 0 0) into 0 2.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (- 0) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.454 * [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 2.455 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.456 * [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 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.457 * [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 2.458 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 2.459 * * * [progress]: simplifying candidates 2.460 * [simplify]: Simplifying: (log (atan2 1.0 (+ (* (+ 1.0 N) N) 1))) (exp (atan2 1.0 (+ (* (+ 1.0 N) N) 1))) (* (cbrt (atan2 1.0 (+ (* (+ 1.0 N) N) 1))) (cbrt (atan2 1.0 (+ (* (+ 1.0 N) N) 1)))) (cbrt (atan2 1.0 (+ (* (+ 1.0 N) N) 1))) (* (* (atan2 1.0 (+ (* (+ 1.0 N) N) 1)) (atan2 1.0 (+ (* (+ 1.0 N) N) 1))) (atan2 1.0 (+ (* (+ 1.0 N) N) 1))) (sqrt (atan2 1.0 (+ (* (+ 1.0 N) N) 1))) (sqrt (atan2 1.0 (+ (* (+ 1.0 N) N) 1))) (* (+ 1.0 N) N) (+ (log (+ 1.0 N)) (log N)) (log (* (+ 1.0 N) N)) (exp (* (+ 1.0 N) N)) (* (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) (* (* N N) N)) (* (cbrt (* (+ 1.0 N) N)) (cbrt (* (+ 1.0 N) N))) (cbrt (* (+ 1.0 N) N)) (* (* (* (+ 1.0 N) N) (* (+ 1.0 N) N)) (* (+ 1.0 N) N)) (sqrt (* (+ 1.0 N) N)) (sqrt (* (+ 1.0 N) N)) (* (sqrt (+ 1.0 N)) (sqrt N)) (* (sqrt (+ 1.0 N)) (sqrt N)) (* (+ 1.0 N) (* (cbrt N) (cbrt N))) (* (+ 1.0 N) (sqrt N)) (* (+ 1.0 N) 1) (* (cbrt (+ 1.0 N)) N) (* (sqrt (+ 1.0 N)) N) (* (+ 1.0 N) N) (* (+ 1.0 N) N) (* (+ (pow 1.0 3) (pow N 3)) N) (* (- (* 1.0 1.0) (* N N)) N) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) 2.460 * * [simplify]: iteration 0: 55 enodes 2.470 * * [simplify]: iteration 1: 127 enodes 2.520 * * [simplify]: iteration 2: 698 enodes 2.792 * * [simplify]: iteration complete: 5000 enodes 2.792 * * [simplify]: Extracting #0: cost 23 inf + 0 2.794 * * [simplify]: Extracting #1: cost 670 inf + 0 2.801 * * [simplify]: Extracting #2: cost 1875 inf + 134 2.809 * * [simplify]: Extracting #3: cost 1941 inf + 4757 2.818 * * [simplify]: Extracting #4: cost 178 inf + 18191 2.827 * * [simplify]: Extracting #5: cost 12 inf + 19336 2.840 * * [simplify]: Extracting #6: cost 8 inf + 19374 2.849 * * [simplify]: Extracting #7: cost 1 inf + 19401 2.864 * * [simplify]: Extracting #8: cost 0 inf + 19406 2.878 * [simplify]: Simplified to: (log (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (exp (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (* (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))) (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (pow (atan2 1.0 (+ (* (+ N 1.0) N) 1)) 3) (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (* (+ N 1.0) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (pow (exp N) (+ N 1.0)) (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) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (* (+ 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) (* N (+ (pow N 3) (pow 1.0 3))) (* (* (+ N 1.0) (- 1.0 N)) N) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) 2.879 * * * [progress]: adding candidates to table 3.061 * * [progress]: iteration 3 / 4 3.061 * * * [progress]: picking best candidate 3.095 * * * * [pick]: Picked # 3.096 * * * [progress]: localizing error 3.128 * * * [progress]: generating rewritten candidates 3.128 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 3.129 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 3.131 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 3.132 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 3.154 * * * [progress]: generating series expansions 3.154 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 3.154 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.154 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.154 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.154 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.154 * [taylor]: Taking taylor expansion of 1/3 in N 3.154 * [backup-simplify]: Simplify 1/3 into 1/3 3.154 * [taylor]: Taking taylor expansion of (log N) in N 3.154 * [taylor]: Taking taylor expansion of N in N 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (log 1) into 0 3.155 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.156 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.156 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.156 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.156 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.156 * [taylor]: Taking taylor expansion of 1/3 in N 3.156 * [backup-simplify]: Simplify 1/3 into 1/3 3.156 * [taylor]: Taking taylor expansion of (log N) in N 3.156 * [taylor]: Taking taylor expansion of N in N 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [backup-simplify]: Simplify (log 1) into 0 3.157 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.157 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.157 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.157 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.159 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.160 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.161 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.161 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.165 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.166 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.167 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.167 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.173 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.174 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.195 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.197 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.199 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.214 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.217 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.217 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.235 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.237 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.240 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.240 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.240 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.240 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.240 * [taylor]: Taking taylor expansion of 1/3 in N 3.240 * [backup-simplify]: Simplify 1/3 into 1/3 3.240 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.241 * [taylor]: Taking taylor expansion of N in N 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify (/ 1 1) into 1 3.241 * [backup-simplify]: Simplify (log 1) into 0 3.242 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.242 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.242 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.242 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.242 * [taylor]: Taking taylor expansion of 1/3 in N 3.242 * [backup-simplify]: Simplify 1/3 into 1/3 3.242 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.242 * [taylor]: Taking taylor expansion of N in N 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (/ 1 1) into 1 3.243 * [backup-simplify]: Simplify (log 1) into 0 3.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.243 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.243 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.244 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.245 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.246 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.246 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.249 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.250 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.250 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.255 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.256 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.264 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.266 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.267 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.267 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.281 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.283 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.285 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.309 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.315 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.315 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.315 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.315 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.315 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.315 * [taylor]: Taking taylor expansion of 1/3 in N 3.315 * [backup-simplify]: Simplify 1/3 into 1/3 3.315 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.315 * [taylor]: Taking taylor expansion of N in N 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (/ 1 1) into 1 3.316 * [backup-simplify]: Simplify (log 1) into 0 3.316 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.316 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.316 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.316 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.316 * [taylor]: Taking taylor expansion of -1 in N 3.316 * [backup-simplify]: Simplify -1 into -1 3.317 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.318 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.318 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.318 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.318 * [taylor]: Taking taylor expansion of 1/3 in N 3.318 * [backup-simplify]: Simplify 1/3 into 1/3 3.318 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.318 * [taylor]: Taking taylor expansion of N in N 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [backup-simplify]: Simplify (log 1) into 0 3.319 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.319 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.319 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.319 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.319 * [taylor]: Taking taylor expansion of -1 in N 3.319 * [backup-simplify]: Simplify -1 into -1 3.320 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.320 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.320 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.321 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.323 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.323 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.324 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.324 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.324 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.328 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.329 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.330 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.330 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.334 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.336 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.337 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.350 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.351 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.354 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.356 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.356 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.379 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.381 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.385 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.428 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.430 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.436 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.438 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 3.439 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 3.439 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.439 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.439 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.439 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.439 * [taylor]: Taking taylor expansion of 1/3 in N 3.439 * [backup-simplify]: Simplify 1/3 into 1/3 3.439 * [taylor]: Taking taylor expansion of (log N) in N 3.439 * [taylor]: Taking taylor expansion of N in N 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.440 * [backup-simplify]: Simplify (log 1) into 0 3.440 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.440 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.440 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.440 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.440 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.440 * [taylor]: Taking taylor expansion of 1/3 in N 3.440 * [backup-simplify]: Simplify 1/3 into 1/3 3.440 * [taylor]: Taking taylor expansion of (log N) in N 3.440 * [taylor]: Taking taylor expansion of N in N 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify (log 1) into 0 3.441 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.441 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.441 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.442 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.443 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.445 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.449 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.450 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.457 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.458 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.460 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.472 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.474 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.477 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.496 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.498 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.502 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.533 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.536 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.542 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.542 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.542 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.542 * [taylor]: Taking taylor expansion of 1/3 in N 3.542 * [backup-simplify]: Simplify 1/3 into 1/3 3.542 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.543 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.543 * [taylor]: Taking taylor expansion of N in N 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 1 into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [backup-simplify]: Simplify (log 1) into 0 3.544 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.544 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.544 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.544 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.544 * [taylor]: Taking taylor expansion of 1/3 in N 3.544 * [backup-simplify]: Simplify 1/3 into 1/3 3.544 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.544 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.544 * [taylor]: Taking taylor expansion of N in N 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (/ 1 1) into 1 3.545 * [backup-simplify]: Simplify (log 1) into 0 3.546 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.546 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.546 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.546 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.549 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.550 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.550 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.553 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.555 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.971 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.972 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.975 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.987 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.988 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.989 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.992 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.010 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.018 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.018 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.052 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.054 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.060 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.060 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.060 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.060 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.060 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.060 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.060 * [taylor]: Taking taylor expansion of 1/3 in N 4.061 * [backup-simplify]: Simplify 1/3 into 1/3 4.061 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.061 * [taylor]: Taking taylor expansion of N in N 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify 1 into 1 4.061 * [backup-simplify]: Simplify (/ 1 1) into 1 4.062 * [backup-simplify]: Simplify (log 1) into 0 4.062 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.062 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.062 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.062 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.062 * [taylor]: Taking taylor expansion of -1 in N 4.062 * [backup-simplify]: Simplify -1 into -1 4.063 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.064 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.064 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.064 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.064 * [taylor]: Taking taylor expansion of 1/3 in N 4.064 * [backup-simplify]: Simplify 1/3 into 1/3 4.064 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.064 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.064 * [taylor]: Taking taylor expansion of N in N 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.065 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [backup-simplify]: Simplify (log 1) into 0 4.066 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.066 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.066 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.066 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.066 * [taylor]: Taking taylor expansion of -1 in N 4.066 * [backup-simplify]: Simplify -1 into -1 4.066 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.067 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.068 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.068 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.071 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.072 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.073 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.073 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.079 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.080 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.081 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.082 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.089 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.090 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.091 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.092 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.099 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.100 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.102 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.118 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.120 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.124 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.126 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.169 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.171 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.172 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 4.172 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 4.172 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 4.172 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.172 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.172 * [taylor]: Taking taylor expansion of 1/3 in N 4.172 * [backup-simplify]: Simplify 1/3 into 1/3 4.172 * [taylor]: Taking taylor expansion of (log N) in N 4.172 * [taylor]: Taking taylor expansion of N in N 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (log 1) into 0 4.173 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.173 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.173 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.173 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.173 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.173 * [taylor]: Taking taylor expansion of 1/3 in N 4.173 * [backup-simplify]: Simplify 1/3 into 1/3 4.173 * [taylor]: Taking taylor expansion of (log N) in N 4.173 * [taylor]: Taking taylor expansion of N in N 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.174 * [backup-simplify]: Simplify (log 1) into 0 4.174 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.174 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.174 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.174 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.176 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 4.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.178 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.181 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.182 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 4.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.190 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 4.192 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.198 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 4.201 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.211 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.212 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 4.214 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.242 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 4.246 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.246 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 4.246 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 4.246 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.246 * [taylor]: Taking taylor expansion of 1/3 in N 4.246 * [backup-simplify]: Simplify 1/3 into 1/3 4.246 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.247 * [taylor]: Taking taylor expansion of N in N 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [backup-simplify]: Simplify (log 1) into 0 4.247 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.247 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.247 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.247 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.248 * [taylor]: Taking taylor expansion of 1/3 in N 4.248 * [backup-simplify]: Simplify 1/3 into 1/3 4.248 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.248 * [taylor]: Taking taylor expansion of N in N 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [backup-simplify]: Simplify (log 1) into 0 4.248 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.248 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.248 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.249 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.250 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.251 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.251 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.251 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.254 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.255 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.259 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.259 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.260 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.272 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.275 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.287 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.291 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.308 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.316 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.316 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.316 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.316 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.316 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.316 * [taylor]: Taking taylor expansion of 1/3 in N 4.317 * [backup-simplify]: Simplify 1/3 into 1/3 4.317 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.317 * [taylor]: Taking taylor expansion of N in N 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [backup-simplify]: Simplify (log 1) into 0 4.318 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.318 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.318 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.318 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.318 * [taylor]: Taking taylor expansion of -1 in N 4.318 * [backup-simplify]: Simplify -1 into -1 4.319 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.320 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.320 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.320 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.320 * [taylor]: Taking taylor expansion of 1/3 in N 4.320 * [backup-simplify]: Simplify 1/3 into 1/3 4.320 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.320 * [taylor]: Taking taylor expansion of N in N 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.321 * [backup-simplify]: Simplify (/ 1 1) into 1 4.321 * [backup-simplify]: Simplify (log 1) into 0 4.321 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.322 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.322 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.322 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.322 * [taylor]: Taking taylor expansion of -1 in N 4.322 * [backup-simplify]: Simplify -1 into -1 4.322 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.323 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.323 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.324 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.327 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.329 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.329 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.334 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.335 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.337 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.338 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.350 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.350 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.352 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.352 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.360 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.361 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.362 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.363 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.373 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.374 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.377 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.378 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.409 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.409 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.414 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.415 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 4.415 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 4.415 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3) 4.416 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 4.416 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 4.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 4.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 4.416 * [taylor]: Taking taylor expansion of 1/3 in N 4.416 * [backup-simplify]: Simplify 1/3 into 1/3 4.416 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 4.416 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.416 * [taylor]: Taking taylor expansion of N in N 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify (* 1 1) into 1 4.416 * [backup-simplify]: Simplify (log 1) into 0 4.416 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.417 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 4.417 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 4.417 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 4.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 4.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 4.417 * [taylor]: Taking taylor expansion of 1/3 in N 4.417 * [backup-simplify]: Simplify 1/3 into 1/3 4.417 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 4.417 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.417 * [taylor]: Taking taylor expansion of N in N 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (* 1 1) into 1 4.417 * [backup-simplify]: Simplify (log 1) into 0 4.417 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.418 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 4.418 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 4.418 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 4.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.419 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 4.420 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.420 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.423 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.423 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 4.424 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.424 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.428 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.428 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.429 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 4.430 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.430 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.436 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.437 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 4.439 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.439 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.465 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.466 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 4.472 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.500 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.501 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 4.505 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 4.506 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 4.506 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 4.506 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.506 * [taylor]: Taking taylor expansion of 1/3 in N 4.506 * [backup-simplify]: Simplify 1/3 into 1/3 4.506 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.506 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.506 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.506 * [taylor]: Taking taylor expansion of N in N 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.506 * [backup-simplify]: Simplify (* 1 1) into 1 4.507 * [backup-simplify]: Simplify (/ 1 1) into 1 4.507 * [backup-simplify]: Simplify (log 1) into 0 4.507 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.507 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.507 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.507 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.507 * [taylor]: Taking taylor expansion of 1/3 in N 4.507 * [backup-simplify]: Simplify 1/3 into 1/3 4.507 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.507 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.507 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.507 * [taylor]: Taking taylor expansion of N in N 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.508 * [backup-simplify]: Simplify (* 1 1) into 1 4.508 * [backup-simplify]: Simplify (/ 1 1) into 1 4.508 * [backup-simplify]: Simplify (log 1) into 0 4.508 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.509 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.509 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.509 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.511 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.511 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.511 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.511 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.514 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.515 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 4.516 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.520 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.520 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 4.522 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.533 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.534 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.535 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 4.538 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.558 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.558 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.560 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 4.565 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.565 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.604 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.604 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 4.609 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 4.609 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.609 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 4.609 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.609 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.609 * [taylor]: Taking taylor expansion of 1/3 in N 4.609 * [backup-simplify]: Simplify 1/3 into 1/3 4.609 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.609 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.609 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.609 * [taylor]: Taking taylor expansion of N in N 4.609 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (* 1 1) into 1 4.610 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [backup-simplify]: Simplify (log 1) into 0 4.611 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.611 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.611 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.611 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.611 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.611 * [taylor]: Taking taylor expansion of -1 in N 4.611 * [backup-simplify]: Simplify -1 into -1 4.611 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.612 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.612 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.612 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.612 * [taylor]: Taking taylor expansion of 1/3 in N 4.612 * [backup-simplify]: Simplify 1/3 into 1/3 4.612 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.612 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.612 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.612 * [taylor]: Taking taylor expansion of N in N 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.612 * [backup-simplify]: Simplify (* 1 1) into 1 4.612 * [backup-simplify]: Simplify (/ 1 1) into 1 4.612 * [backup-simplify]: Simplify (log 1) into 0 4.613 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.613 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.613 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.613 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.613 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.613 * [taylor]: Taking taylor expansion of -1 in N 4.613 * [backup-simplify]: Simplify -1 into -1 4.613 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.614 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.615 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 4.615 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.616 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.617 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 4.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.619 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.619 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.619 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.620 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (* 0 (pow (cbrt -1) 2))) into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.622 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.625 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.625 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 4.626 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.627 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 4.627 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.628 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.633 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.634 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 4.636 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.637 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 4.637 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.638 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.646 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.646 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 4.649 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.651 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.662 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 4.666 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.667 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.670 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.706 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.707 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 4.710 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.712 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))))) into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 4.713 * * * [progress]: simplifying candidates 4.714 * [simplify]: Simplifying: (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 4.714 * * [simplify]: iteration 0: 61 enodes 4.732 * * [simplify]: iteration 1: 138 enodes 4.826 * * [simplify]: iteration 2: 727 enodes 5.952 * * [simplify]: iteration complete: 5000 enodes 5.952 * * [simplify]: Extracting #0: cost 29 inf + 0 5.957 * * [simplify]: Extracting #1: cost 1281 inf + 4 5.966 * * [simplify]: Extracting #2: cost 1672 inf + 1246 5.977 * * [simplify]: Extracting #3: cost 1140 inf + 5412 5.989 * * [simplify]: Extracting #4: cost 365 inf + 11246 5.999 * * [simplify]: Extracting #5: cost 0 inf + 14567 6.010 * * [simplify]: Extracting #6: cost 0 inf + 14554 6.026 * [simplify]: Simplified to: (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) 2/3 2 (pow N 2) (pow N 2/3) 2 (* 2/3 (log N)) (* 2/3 (log N)) (exp (pow N 2/3)) (pow N 2) (* (cbrt (pow N 2/3)) (cbrt (pow N 2/3))) (cbrt (pow N 2/3)) (pow N 2) (fabs (cbrt N)) (fabs (cbrt N)) (* (cbrt (pow N 2/3)) (cbrt (pow N 2/3))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) 1 (pow N 2/3) (* (cbrt N) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N) (cbrt N) 1 (pow N 2/3) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (cbrt N) (cbrt N) 2/3 2 (* (cbrt N) (cbrt (pow N 2/3))) (* (cbrt (sqrt N)) (cbrt N)) (cbrt N) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N)) (pow (sqrt (cbrt N)) 3) (cbrt N) (* (cbrt N) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt N)) (pow N 2/3) (* (cbrt N) (cbrt (cbrt N))) (pow (sqrt (cbrt N)) 3) (pow N 2/3) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (cbrt -1) 2) (cbrt (pow N 2))) 6.027 * * * [progress]: adding candidates to table 6.350 * * [progress]: iteration 4 / 4 6.350 * * * [progress]: picking best candidate 6.393 * * * * [pick]: Picked # 6.393 * * * [progress]: localizing error 6.442 * * * [progress]: generating rewritten candidates 6.442 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2) 6.446 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 6.447 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.609 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.612 * * * [progress]: generating series expansions 6.612 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2) 6.612 * [backup-simplify]: Simplify (cbrt (pow N 2)) into (pow (pow N 2) 1/3) 6.612 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 6.612 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 6.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 6.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 6.613 * [taylor]: Taking taylor expansion of 1/3 in N 6.613 * [backup-simplify]: Simplify 1/3 into 1/3 6.613 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 6.613 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.613 * [taylor]: Taking taylor expansion of N in N 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 1 into 1 6.613 * [backup-simplify]: Simplify (* 1 1) into 1 6.613 * [backup-simplify]: Simplify (log 1) into 0 6.614 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.614 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 6.614 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 6.614 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 6.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 6.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 6.614 * [taylor]: Taking taylor expansion of 1/3 in N 6.614 * [backup-simplify]: Simplify 1/3 into 1/3 6.614 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 6.614 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.614 * [taylor]: Taking taylor expansion of N in N 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 1 into 1 6.614 * [backup-simplify]: Simplify (* 1 1) into 1 6.615 * [backup-simplify]: Simplify (log 1) into 0 6.615 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.615 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 6.615 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 6.615 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 6.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.617 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.617 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 6.617 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.619 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.620 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.620 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 6.621 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.621 * [backup-simplify]: Simplify 0 into 0 6.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.624 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.625 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 6.627 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.633 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.634 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.635 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 6.636 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.637 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.652 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.652 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.653 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 6.655 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.676 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.677 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.678 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 6.683 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 6.684 * [backup-simplify]: Simplify (cbrt (pow (/ 1 N) 2)) into (pow (/ 1 (pow N 2)) 1/3) 6.684 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 6.684 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.684 * [taylor]: Taking taylor expansion of 1/3 in N 6.684 * [backup-simplify]: Simplify 1/3 into 1/3 6.684 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.684 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.684 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.684 * [taylor]: Taking taylor expansion of N in N 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 1 into 1 6.685 * [backup-simplify]: Simplify (* 1 1) into 1 6.685 * [backup-simplify]: Simplify (/ 1 1) into 1 6.685 * [backup-simplify]: Simplify (log 1) into 0 6.686 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.686 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.686 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.686 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.686 * [taylor]: Taking taylor expansion of 1/3 in N 6.686 * [backup-simplify]: Simplify 1/3 into 1/3 6.686 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.686 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.686 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.686 * [taylor]: Taking taylor expansion of N in N 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify 1 into 1 6.687 * [backup-simplify]: Simplify (* 1 1) into 1 6.687 * [backup-simplify]: Simplify (/ 1 1) into 1 6.687 * [backup-simplify]: Simplify (log 1) into 0 6.688 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.688 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.688 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.688 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.691 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 6.692 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.692 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.696 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.697 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 6.697 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.697 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.702 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.702 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 6.704 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.704 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.711 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.712 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 6.714 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.714 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.726 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.728 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 6.732 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.732 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.767 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.768 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 6.774 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 6.774 * [backup-simplify]: Simplify (cbrt (pow (/ 1 (- N)) 2)) into (pow (/ 1 (pow N 2)) 1/3) 6.774 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 6.774 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.774 * [taylor]: Taking taylor expansion of 1/3 in N 6.774 * [backup-simplify]: Simplify 1/3 into 1/3 6.774 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.774 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.774 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.774 * [taylor]: Taking taylor expansion of N in N 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify 1 into 1 6.775 * [backup-simplify]: Simplify (* 1 1) into 1 6.775 * [backup-simplify]: Simplify (/ 1 1) into 1 6.775 * [backup-simplify]: Simplify (log 1) into 0 6.775 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.775 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.775 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.776 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.776 * [taylor]: Taking taylor expansion of 1/3 in N 6.776 * [backup-simplify]: Simplify 1/3 into 1/3 6.776 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.776 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.776 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.776 * [taylor]: Taking taylor expansion of N in N 6.776 * [backup-simplify]: Simplify 0 into 0 6.776 * [backup-simplify]: Simplify 1 into 1 6.776 * [backup-simplify]: Simplify (* 1 1) into 1 6.776 * [backup-simplify]: Simplify (/ 1 1) into 1 6.776 * [backup-simplify]: Simplify (log 1) into 0 6.777 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.777 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.777 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.777 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.783 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.784 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 6.784 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.784 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.787 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 6.789 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.792 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.793 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.794 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 6.795 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.801 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.802 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.803 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 6.804 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.804 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.815 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.816 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.817 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 6.819 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.819 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.850 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.850 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.853 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 6.859 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify (pow (/ 1 (- N)) -2/3) into (pow (/ -1 N) -2/3) 6.859 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 6.860 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 6.860 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 6.860 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 6.860 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 6.860 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 6.860 * [taylor]: Taking taylor expansion of 1/3 in N 6.860 * [backup-simplify]: Simplify 1/3 into 1/3 6.860 * [taylor]: Taking taylor expansion of (log N) in N 6.860 * [taylor]: Taking taylor expansion of N in N 6.860 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify 1 into 1 6.860 * [backup-simplify]: Simplify (log 1) into 0 6.861 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.861 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.861 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.861 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 6.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 6.861 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 6.861 * [taylor]: Taking taylor expansion of 1/3 in N 6.861 * [backup-simplify]: Simplify 1/3 into 1/3 6.861 * [taylor]: Taking taylor expansion of (log N) in N 6.861 * [taylor]: Taking taylor expansion of N in N 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 1 into 1 6.862 * [backup-simplify]: Simplify (log 1) into 0 6.862 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.862 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.863 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.863 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.865 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.865 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 6.866 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.866 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.870 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 6.872 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.878 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.879 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 6.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.881 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.893 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 6.897 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.898 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.917 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 6.920 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.920 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.938 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 6.944 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.945 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 6.945 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 6.945 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.945 * [taylor]: Taking taylor expansion of 1/3 in N 6.945 * [backup-simplify]: Simplify 1/3 into 1/3 6.945 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.945 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.945 * [taylor]: Taking taylor expansion of N in N 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify 1 into 1 6.946 * [backup-simplify]: Simplify (/ 1 1) into 1 6.946 * [backup-simplify]: Simplify (log 1) into 0 6.947 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.947 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.947 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.947 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.947 * [taylor]: Taking taylor expansion of 1/3 in N 6.947 * [backup-simplify]: Simplify 1/3 into 1/3 6.947 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.947 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.947 * [taylor]: Taking taylor expansion of N in N 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [backup-simplify]: Simplify (/ 1 1) into 1 6.948 * [backup-simplify]: Simplify (log 1) into 0 6.948 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.948 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.948 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.949 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.952 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.952 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 6.953 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.953 * [backup-simplify]: Simplify 0 into 0 6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.957 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.959 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.959 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.965 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.966 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.967 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.968 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.968 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.980 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.981 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.983 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.986 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.996 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.997 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.998 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.000 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.024 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.025 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.027 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.030 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.030 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 7.031 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.031 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 7.031 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.031 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.031 * [taylor]: Taking taylor expansion of 1/3 in N 7.031 * [backup-simplify]: Simplify 1/3 into 1/3 7.031 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.031 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.031 * [taylor]: Taking taylor expansion of N in N 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [backup-simplify]: Simplify (/ 1 1) into 1 7.031 * [backup-simplify]: Simplify (log 1) into 0 7.032 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.032 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.032 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.032 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.032 * [taylor]: Taking taylor expansion of -1 in N 7.032 * [backup-simplify]: Simplify -1 into -1 7.032 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.033 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.033 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.033 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.033 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.033 * [taylor]: Taking taylor expansion of 1/3 in N 7.033 * [backup-simplify]: Simplify 1/3 into 1/3 7.033 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.033 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.033 * [taylor]: Taking taylor expansion of N in N 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [backup-simplify]: Simplify (/ 1 1) into 1 7.033 * [backup-simplify]: Simplify (log 1) into 0 7.034 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.034 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.034 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.034 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.034 * [taylor]: Taking taylor expansion of -1 in N 7.034 * [backup-simplify]: Simplify -1 into -1 7.034 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.034 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.035 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.035 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.037 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.037 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.038 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.038 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 7.038 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.041 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.043 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.043 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.048 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.048 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.049 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.050 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.050 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.050 * [backup-simplify]: Simplify 0 into 0 7.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.059 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.060 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.062 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.064 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.066 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 7.066 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.079 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.079 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.081 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.083 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.084 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 7.084 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.104 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.105 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.110 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.112 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 7.112 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 7.113 * [backup-simplify]: Simplify (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) into (* N (* (pow (cbrt -1) 2) (+ N 1.0))) 7.113 * [approximate]: Taking taylor expansion of (* N (* (pow (cbrt -1) 2) (+ N 1.0))) in (N) around 0 7.113 * [taylor]: Taking taylor expansion of (* N (* (pow (cbrt -1) 2) (+ N 1.0))) in N 7.113 * [taylor]: Taking taylor expansion of N in N 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (+ N 1.0)) in N 7.113 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 7.113 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.113 * [taylor]: Taking taylor expansion of -1 in N 7.113 * [backup-simplify]: Simplify -1 into -1 7.113 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.114 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.114 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.114 * [taylor]: Taking taylor expansion of N in N 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [taylor]: Taking taylor expansion of 1.0 in N 7.114 * [backup-simplify]: Simplify 1.0 into 1.0 7.114 * [taylor]: Taking taylor expansion of (* N (* (pow (cbrt -1) 2) (+ N 1.0))) in N 7.114 * [taylor]: Taking taylor expansion of N in N 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (+ N 1.0)) in N 7.114 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 7.114 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.114 * [taylor]: Taking taylor expansion of -1 in N 7.114 * [backup-simplify]: Simplify -1 into -1 7.119 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.120 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.120 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.120 * [taylor]: Taking taylor expansion of N in N 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.120 * [taylor]: Taking taylor expansion of 1.0 in N 7.120 * [backup-simplify]: Simplify 1.0 into 1.0 7.121 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.121 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.122 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) 1.0) into (* 1.0 (pow (cbrt -1) 2)) 7.123 * [backup-simplify]: Simplify (* 0 (* 1.0 (pow (cbrt -1) 2))) into 0 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify (+ 1 0) into 1 7.124 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.126 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 1) (* 0 1.0)) into (pow (cbrt -1) 2) 7.129 * [backup-simplify]: Simplify (+ (* 0 (pow (cbrt -1) 2)) (* 1 (* 1.0 (pow (cbrt -1) 2)))) into (* 1.0 (pow (cbrt -1) 2)) 7.130 * [backup-simplify]: Simplify (* 1.0 (pow (cbrt -1) 2)) into (* 1.0 (pow (cbrt -1) 2)) 7.131 * [backup-simplify]: Simplify (+ 0 0) into 0 7.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.132 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.133 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 1) (* 0 1.0))) into 0 7.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (pow (cbrt -1) 2)) (* 0 (* 1.0 (pow (cbrt -1) 2))))) into (pow (cbrt -1) 2) 7.137 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 7.138 * [backup-simplify]: Simplify (+ 0 0) into 0 7.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.139 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.140 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (pow (cbrt -1) 2)) (* 0 (* 1.0 (pow (cbrt -1) 2)))))) into 0 7.141 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify (+ 0 0) into 0 7.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.143 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 7.146 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 7.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (pow (cbrt -1) 2)) (* 0 (* 1.0 (pow (cbrt -1) 2))))))) into 0 7.148 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify (+ 0 0) into 0 7.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.152 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 7.154 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 7.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (cbrt -1) 2)) (* 0 (* 1.0 (pow (cbrt -1) 2)))))))) into 0 7.156 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify (+ 0 0) into 0 7.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.159 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 7.160 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 7.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (cbrt -1) 2)) (* 0 (* 1.0 (pow (cbrt -1) 2))))))))) into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify (+ 0 0) into 0 7.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.164 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))))) into 0 7.165 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 7.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (cbrt -1) 2)) (* 0 (* 1.0 (pow (cbrt -1) 2)))))))))) into 0 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify (+ 0 0) into 0 7.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.169 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))))) into 0 7.171 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 7.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (cbrt -1) 2)) (* 0 (* 1.0 (pow (cbrt -1) 2))))))))))) into 0 7.173 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (pow N 2)) (* (* 1.0 (pow (cbrt -1) 2)) N)) into (+ (* (pow N 2) (pow (cbrt -1) 2)) (* 1.0 (* N (pow (cbrt -1) 2)))) 7.176 * [backup-simplify]: Simplify (* (* (* (pow (cbrt -1) 2) (cbrt (pow (/ 1 N) 2))) (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))) into (/ (* (pow (cbrt -1) 2) (+ (/ 1 N) 1.0)) N) 7.176 * [approximate]: Taking taylor expansion of (/ (* (pow (cbrt -1) 2) (+ (/ 1 N) 1.0)) N) in (N) around 0 7.176 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 2) (+ (/ 1 N) 1.0)) N) in N 7.176 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (+ (/ 1 N) 1.0)) in N 7.176 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 7.176 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.176 * [taylor]: Taking taylor expansion of -1 in N 7.176 * [backup-simplify]: Simplify -1 into -1 7.177 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.177 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.177 * [taylor]: Taking taylor expansion of N in N 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify (/ 1 1) into 1 7.177 * [taylor]: Taking taylor expansion of 1.0 in N 7.177 * [backup-simplify]: Simplify 1.0 into 1.0 7.177 * [taylor]: Taking taylor expansion of N in N 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.178 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.179 * [backup-simplify]: Simplify (+ 1 0) into 1 7.180 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.181 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.181 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 2) (+ (/ 1 N) 1.0)) N) in N 7.181 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (+ (/ 1 N) 1.0)) in N 7.181 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 7.181 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.181 * [taylor]: Taking taylor expansion of -1 in N 7.181 * [backup-simplify]: Simplify -1 into -1 7.182 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.182 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.182 * [taylor]: Taking taylor expansion of N in N 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 1 into 1 7.182 * [backup-simplify]: Simplify (/ 1 1) into 1 7.182 * [taylor]: Taking taylor expansion of 1.0 in N 7.182 * [backup-simplify]: Simplify 1.0 into 1.0 7.182 * [taylor]: Taking taylor expansion of N in N 7.182 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 1 into 1 7.184 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.184 * [backup-simplify]: Simplify (+ 1 0) into 1 7.185 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.186 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 7.187 * [backup-simplify]: Simplify (pow (cbrt -1) 2) into (pow (cbrt -1) 2) 7.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.188 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.188 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.192 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 1.0) (* 0 1)) into (* 1.0 (pow (cbrt -1) 2)) 7.196 * [backup-simplify]: Simplify (- (/ (* 1.0 (pow (cbrt -1) 2)) 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into (* 1.0 (pow (cbrt -1) 2)) 7.198 * [backup-simplify]: Simplify (* 1.0 (pow (cbrt -1) 2)) into (* 1.0 (pow (cbrt -1) 2)) 7.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.199 * [backup-simplify]: Simplify (+ 0 0) into 0 7.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.202 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.203 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 1.0) (* 0 1))) into 0 7.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* (* 1.0 (pow (cbrt -1) 2)) (/ 0 1)))) into 0 7.205 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.206 * [backup-simplify]: Simplify (+ 0 0) into 0 7.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.209 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.211 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* (* 1.0 (pow (cbrt -1) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.213 * [backup-simplify]: Simplify (+ 0 0) into 0 7.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.215 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 7.216 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* (* 1.0 (pow (cbrt -1) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.217 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.218 * [backup-simplify]: Simplify (+ 0 0) into 0 7.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.225 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 7.227 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 7.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* (* 1.0 (pow (cbrt -1) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.228 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.229 * [backup-simplify]: Simplify (+ 0 0) into 0 7.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.231 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 7.232 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 7.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* (* 1.0 (pow (cbrt -1) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [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 7.234 * [backup-simplify]: Simplify (+ 0 0) into 0 7.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.236 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))))) into 0 7.238 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 7.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* (* 1.0 (pow (cbrt -1) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.239 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify (+ (* (* 1.0 (pow (cbrt -1) 2)) (/ 1 (/ 1 N))) (* (pow (cbrt -1) 2) (pow (/ 1 (/ 1 N)) 2))) into (+ (* (pow N 2) (pow (cbrt -1) 2)) (* 1.0 (* N (pow (cbrt -1) 2)))) 7.242 * [backup-simplify]: Simplify (* (* (* (pow (cbrt -1) 2) (cbrt (pow (/ 1 (- N)) 2))) (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))) into (/ (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) N) 7.242 * [approximate]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) N) in (N) around 0 7.242 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) N) in N 7.242 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) in N 7.242 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 7.242 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.242 * [taylor]: Taking taylor expansion of -1 in N 7.242 * [backup-simplify]: Simplify -1 into -1 7.243 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.243 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.243 * [taylor]: Taking taylor expansion of 1.0 in N 7.243 * [backup-simplify]: Simplify 1.0 into 1.0 7.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.243 * [taylor]: Taking taylor expansion of N in N 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 1 into 1 7.243 * [backup-simplify]: Simplify (/ 1 1) into 1 7.243 * [taylor]: Taking taylor expansion of N in N 7.243 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 1 into 1 7.245 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.247 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 7.247 * [backup-simplify]: Simplify (- 1) into -1 7.247 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.249 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1 7.249 * [backup-simplify]: Simplify (/ 1 1) into 1 7.250 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) N) in N 7.250 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) in N 7.250 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 7.250 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.250 * [taylor]: Taking taylor expansion of -1 in N 7.250 * [backup-simplify]: Simplify -1 into -1 7.250 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.251 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.251 * [taylor]: Taking taylor expansion of 1.0 in N 7.251 * [backup-simplify]: Simplify 1.0 into 1.0 7.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.251 * [taylor]: Taking taylor expansion of N in N 7.251 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify 1 into 1 7.251 * [backup-simplify]: Simplify (/ 1 1) into 1 7.251 * [taylor]: Taking taylor expansion of N in N 7.251 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify 1 into 1 7.252 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.254 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 7.254 * [backup-simplify]: Simplify (- 1) into -1 7.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.255 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1 7.255 * [backup-simplify]: Simplify (/ 1 1) into 1 7.255 * [backup-simplify]: Simplify 1 into 1 7.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.256 * [backup-simplify]: Simplify (- 0) into 0 7.256 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.257 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.257 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 7.259 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 1.0) (* 0 -1)) into (- 1.0) 7.261 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 7.261 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.262 * [backup-simplify]: Simplify (- 0) into 0 7.262 * [backup-simplify]: Simplify (+ 0 0) into 0 7.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.263 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.264 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 7.265 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 1.0) (* 0 -1))) into 0 7.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.266 * [backup-simplify]: Simplify (- 0) into 0 7.267 * [backup-simplify]: Simplify (+ 0 0) into 0 7.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.268 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.269 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 7.270 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.271 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.272 * [backup-simplify]: Simplify (- 0) into 0 7.272 * [backup-simplify]: Simplify (+ 0 0) into 0 7.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.276 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 7.277 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0 7.279 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.281 * [backup-simplify]: Simplify 0 into 0 7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.282 * [backup-simplify]: Simplify (- 0) into 0 7.283 * [backup-simplify]: Simplify (+ 0 0) into 0 7.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.286 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 7.288 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0 7.289 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 7.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (- 0) into 0 7.291 * [backup-simplify]: Simplify (+ 0 0) into 0 7.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.293 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 7.294 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))))) into 0 7.295 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 7.296 * [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 7.296 * [backup-simplify]: Simplify 0 into 0 7.297 * [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 7.297 * [backup-simplify]: Simplify (- 0) into 0 7.297 * [backup-simplify]: Simplify (+ 0 0) into 0 7.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.299 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))))) into 0 7.300 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))))) into 0 7.302 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 7.303 * [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 7.303 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 7.303 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.304 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1)) into (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) 7.304 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) in (N) around 0 7.304 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) in N 7.306 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) into (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) 7.306 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) in N 7.308 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) into (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) 7.310 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) into (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) into (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) 7.313 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow (/ 1 N) 2))) (+ (/ 1 N) 1.0)) (cbrt (/ 1 N))) 1)) into (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) 7.313 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) in (N) around 0 7.313 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) in N 7.315 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) into (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) 7.315 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) in N 7.317 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) into (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) 7.318 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) into (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow N 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) N)) 1))) 7.318 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ (pow (cbrt -1) 2) (pow (/ 1 N) 2)) (+ (* 1.0 (/ (pow (cbrt -1) 2) (/ 1 N))) 1))) into (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) 7.328 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow (/ 1 (- N)) 2))) (+ (/ 1 (- N)) 1.0)) (cbrt (/ 1 (- N)))) 1)) into (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) 7.328 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 7.328 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 7.331 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.331 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 7.333 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.334 * [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)))) 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.334 * * * [progress]: simplifying candidates 7.336 * [simplify]: Simplifying: (log (cbrt (pow N 2))) (exp (cbrt (pow N 2))) (cbrt (pow (* (cbrt N) (cbrt N)) 2)) (cbrt (pow (cbrt N) 2)) (cbrt (pow (sqrt N) 2)) (cbrt (pow (sqrt N) 2)) (cbrt (pow 1 2)) (cbrt (pow N 2)) (cbrt N) (cbrt N) (cbrt (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (cbrt (cbrt (pow N 2))) (cbrt (sqrt (pow N 2))) (cbrt (sqrt (pow N 2))) (cbrt 1) (cbrt (pow N 2)) (cbrt (pow N (/ 2 2))) (cbrt (pow N (/ 2 2))) (* (cbrt (cbrt (pow N 2))) (cbrt (cbrt (pow N 2)))) (cbrt (cbrt (pow N 2))) (* (* (cbrt (pow N 2)) (cbrt (pow N 2))) (cbrt (pow N 2))) (sqrt (cbrt (pow N 2))) (sqrt (cbrt (pow N 2))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) (+ (+ (+ (* (log (cbrt -1)) 2) (log (cbrt (pow N 2)))) (log (+ N 1.0))) (log (cbrt N))) (+ (+ (+ (* (log (cbrt -1)) 2) (log (cbrt (pow N 2)))) (log (+ N 1.0))) (log (cbrt N))) (+ (+ (+ (log (pow (cbrt -1) 2)) (log (cbrt (pow N 2)))) (log (+ N 1.0))) (log (cbrt N))) (+ (+ (log (* (pow (cbrt -1) 2) (cbrt (pow N 2)))) (log (+ N 1.0))) (log (cbrt N))) (+ (log (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0))) (log (cbrt N))) (log (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N))) (exp (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N))) (* (* (* (* (* (pow (cbrt -1) 2) (pow (cbrt -1) 2)) (pow (cbrt -1) 2)) (pow N 2)) (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0))) N) (* (* (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (* (pow (cbrt -1) 2) (cbrt (pow N 2)))) (* (pow (cbrt -1) 2) (cbrt (pow N 2)))) (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0))) N) (* (* (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0))) (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0))) N) (* (cbrt (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N))) (cbrt (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)))) (cbrt (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N))) (* (* (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N))) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N))) (sqrt (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N))) (sqrt (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N))) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt (* (cbrt N) (cbrt N)))) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt (sqrt N))) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt 1)) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (sqrt (cbrt N))) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) 1) (* (+ N 1.0) (cbrt N)) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ (pow N 3) (pow 1.0 3))) (cbrt N)) (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (- (* N N) (* 1.0 1.0))) (cbrt N)) (log (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1))) (exp (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1))) (* (cbrt (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1))) (cbrt (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1)))) (cbrt (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1))) (* (* (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1)) (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1))) (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1))) (sqrt (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1))) (sqrt (atan2 1.0 (+ (* (* (* (pow (cbrt -1) 2) (cbrt (pow N 2))) (+ N 1.0)) (cbrt N)) 1))) (pow N 2/3) (pow (/ 1 N) -2/3) (pow (/ -1 N) -2/3) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (+ (* (pow N 2) (pow (cbrt -1) 2)) (* 1.0 (* N (pow (cbrt -1) 2)))) (+ (* (pow N 2) (pow (cbrt -1) 2)) (* 1.0 (* N (pow (cbrt -1) 2)))) (+ (* 1.0 N) (pow N 2)) (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) (atan2 1.0 (+ (* (pow N 2) (pow (cbrt -1) 2)) (+ (* 1.0 (* N (pow (cbrt -1) 2))) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.339 * * [simplify]: iteration 0: 135 enodes 7.375 * * [simplify]: iteration 1: 353 enodes 7.595 * * [simplify]: iteration 2: 2383 enodes 8.698 * * [simplify]: iteration complete: 5000 enodes 8.698 * * [simplify]: Extracting #0: cost 50 inf + 0 8.699 * * [simplify]: Extracting #1: cost 665 inf + 2 8.704 * * [simplify]: Extracting #2: cost 1601 inf + 429 8.711 * * [simplify]: Extracting #3: cost 1510 inf + 2163 8.718 * * [simplify]: Extracting #4: cost 1228 inf + 4590 8.725 * * [simplify]: Extracting #5: cost 568 inf + 13187 8.732 * * [simplify]: Extracting #6: cost 71 inf + 23288 8.740 * * [simplify]: Extracting #7: cost 6 inf + 24392 8.749 * * [simplify]: Extracting #8: cost 0 inf + 24481 8.755 * [simplify]: Simplified to: (log (cbrt (pow N 2))) (exp (cbrt (pow N 2))) (cbrt (pow N 4/3)) (cbrt (pow N 2/3)) (cbrt N) (cbrt N) 1 (cbrt (pow N 2)) (cbrt N) (cbrt N) (cbrt (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (cbrt (cbrt (pow N 2))) (cbrt (fabs N)) (cbrt (fabs N)) 1 (cbrt (pow N 2)) (cbrt N) (cbrt N) (* (cbrt (cbrt (pow N 2))) (cbrt (cbrt (pow N 2)))) (cbrt (cbrt (pow N 2))) (pow N 2) (sqrt (cbrt (pow N 2))) (sqrt (cbrt (pow N 2))) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) (log (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (log (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (log (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (log (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (log (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (log (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (pow (exp (cbrt (pow N 2))) (* (pow (cbrt -1) 2) (* (cbrt N) (+ 1.0 N)))) (* (* (pow (* (+ 1.0 N) (pow (cbrt -1) 2)) 3) (pow N 2)) N) (* (* (pow (* (+ 1.0 N) (pow (cbrt -1) 2)) 3) (pow N 2)) N) (* (* (pow (* (+ 1.0 N) (pow (cbrt -1) 2)) 3) (pow N 2)) N) (* (cbrt (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (cbrt (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))))) (cbrt (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (* (* (pow (* (+ 1.0 N) (pow (cbrt -1) 2)) 3) (pow N 2)) N) (sqrt (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (sqrt (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))))) (* (cbrt (pow N 2/3)) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) (* (* (cbrt (sqrt N)) (+ 1.0 N)) (* (pow (cbrt -1) 2) (cbrt (pow N 2)))) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))) (* (* (* (+ 1.0 N) (cbrt (cbrt N))) (cbrt (cbrt N))) (* (pow (cbrt -1) 2) (cbrt (pow N 2)))) (* (* (+ 1.0 N) (sqrt (cbrt N))) (* (pow (cbrt -1) 2) (cbrt (pow N 2)))) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N))) (* (cbrt N) (+ 1.0 N)) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (* (cbrt N) (+ (pow 1.0 3) (pow N 3))))) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (* (+ 1.0 N) (* (- N 1.0) (cbrt N))))) (log (atan2 1.0 (+ (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) 1))) (exp (atan2 1.0 (+ (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) 1))) (* (cbrt (atan2 1.0 (+ (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) 1))) (cbrt (atan2 1.0 (+ (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) 1)))) (cbrt (atan2 1.0 (+ (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) 1))) (pow (atan2 1.0 (+ (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) 1)) 3) (sqrt (atan2 1.0 (+ (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) 1))) (sqrt (atan2 1.0 (+ (* (cbrt N) (* (pow (cbrt -1) 2) (* (cbrt (pow N 2)) (+ 1.0 N)))) 1))) (pow N 2/3) (pow (/ 1 N) -2/3) (pow (/ -1 N) -2/3) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (* (pow (cbrt -1) 2) (* N (+ 1.0 N))) (* (pow (cbrt -1) 2) (* N (+ 1.0 N))) (* N (+ 1.0 N)) (atan2 1.0 (+ 1 (* (pow (cbrt -1) 2) (* N (+ 1.0 N))))) (atan2 1.0 (+ 1 (* (pow (cbrt -1) 2) (* N (+ 1.0 N))))) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) 8.756 * * * [progress]: adding candidates to table 9.051 * [progress]: [Phase 3 of 3] Extracting. 9.051 * * [regime]: Finding splitpoints for: (# # # # # # # #) 9.052 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 9.052 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # #) 9.096 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 9.140 * * * [regime]: Found split indices: #