22.289 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.070 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: Extracting # 1 : cost 0 0.070 * * [simplify]: Extracting # 2 : cost 0 0.070 * * [simplify]: Extracting # 3 : cost 0 0.070 * * [simplify]: Extracting # 4 : cost 0 0.070 * * [simplify]: Extracting # 5 : cost 0 0.070 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.072 * * [simplify]: Extracting # 0 : cost 0 0.072 * * [simplify]: Extracting # 1 : cost 0 0.072 * * [simplify]: Extracting # 2 : cost 0 0.072 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.075 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.093 * * * [progress]: generating rewritten candidates 0.093 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.101 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.101 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.101 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.101 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.101 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.101 * [taylor]: Taking taylor expansion of (atan N) in N 0.101 * [backup-simplify]: Simplify (atan N) into (atan N) 0.101 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.101 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.101 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.101 * [taylor]: Taking taylor expansion of (atan N) in N 0.101 * [backup-simplify]: Simplify (atan N) into (atan N) 0.102 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.102 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.102 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.106 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.106 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.106 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.106 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.106 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.106 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.106 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.106 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.106 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.106 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.106 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.107 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.107 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.110 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.110 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.110 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.111 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.111 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.111 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.111 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.111 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.111 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.111 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.111 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.111 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.111 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 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 0.112 * [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 0.113 * [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 (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.115 * * * [progress]: simplifying candidates 0.115 * [simplify]: Simplifying: (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.115 * * [simplify]: Extracting # 0 : cost 0 0.115 * * [simplify]: Extracting # 1 : cost 0 0.116 * * [simplify]: Extracting # 2 : cost 0 0.116 * * [simplify]: Extracting # 3 : cost 0 0.116 * * [simplify]: Extracting # 4 : cost 0 0.116 * * [simplify]: Extracting # 5 : cost 0 0.116 * * [simplify]: Extracting # 6 : cost 0 0.116 * * [simplify]: iteration 0 : 36 enodes (cost 209 ) 0.124 * * [simplify]: Extracting # 0 : cost 0 0.125 * * [simplify]: Extracting # 1 : cost 0 0.125 * * [simplify]: Extracting # 2 : cost 0 0.125 * * [simplify]: Extracting # 3 : cost 0 0.125 * * [simplify]: Extracting # 4 : cost 0 0.125 * * [simplify]: Extracting # 5 : cost 0 0.125 * * [simplify]: iteration 1 : 84 enodes (cost 205 ) 0.160 * * [simplify]: Extracting # 0 : cost 0 0.160 * * [simplify]: Extracting # 1 : cost 0 0.161 * * [simplify]: Extracting # 2 : cost 0 0.161 * * [simplify]: Extracting # 3 : cost 0 0.162 * * [simplify]: Extracting # 4 : cost 0 0.162 * * [simplify]: Extracting # 5 : cost 0 0.163 * * [simplify]: iteration 2 : 239 enodes (cost 191 ) 0.356 * * [simplify]: Extracting # 0 : cost 0 0.357 * * [simplify]: Extracting # 1 : cost 0 0.358 * * [simplify]: Extracting # 2 : cost 0 0.358 * * [simplify]: Extracting # 3 : cost 0 0.359 * * [simplify]: Extracting # 4 : cost 0 0.360 * * [simplify]: Extracting # 5 : cost 0 0.361 * * [simplify]: iteration 3 : 875 enodes (cost 187 ) 7.454 * * [simplify]: Extracting # 0 : cost 0 7.463 * * [simplify]: Extracting # 1 : cost 0 7.468 * * [simplify]: Extracting # 2 : cost 0 7.473 * * [simplify]: Extracting # 3 : cost 0 7.478 * * [simplify]: Extracting # 4 : cost 0 7.483 * * [simplify]: iteration done: 5001 enodes (cost 185 ) 7.483 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 7.483 * * * [progress]: adding candidates to table 7.519 * * [progress]: iteration 2 / 4 7.519 * * * [progress]: picking best candidate 7.521 * * * * [pick]: Picked # 7.521 * * * [progress]: localizing error 7.527 * * * [progress]: generating rewritten candidates 7.527 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.528 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 7.553 * * * [progress]: generating series expansions 7.553 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.554 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.554 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 7.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.554 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 7.554 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.555 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.555 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 7.555 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 7.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.555 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 7.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 7.555 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 7.556 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.556 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.556 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 7.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.556 * [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)))) 7.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.557 * [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)))) 7.557 * [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)))) 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 7.557 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 7.557 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 7.557 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 7.557 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.557 * [taylor]: Taking taylor expansion of N in N 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.558 * [taylor]: Taking taylor expansion of N in N 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [taylor]: Taking taylor expansion of 1.0 in N 7.558 * [backup-simplify]: Simplify 1.0 into 1.0 7.558 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.558 * [taylor]: Taking taylor expansion of N in N 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.558 * [taylor]: Taking taylor expansion of N in N 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [taylor]: Taking taylor expansion of 1.0 in N 7.558 * [backup-simplify]: Simplify 1.0 into 1.0 7.558 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.559 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify (+ 1 0) into 1 7.560 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.560 * [backup-simplify]: Simplify 1.0 into 1.0 7.561 * [backup-simplify]: Simplify (+ 0 0) into 0 7.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.561 * [backup-simplify]: Simplify 1 into 1 7.562 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.562 * [backup-simplify]: Simplify 0 into 0 7.563 * [backup-simplify]: Simplify (+ 0 0) into 0 7.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 7.564 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify (+ 0 0) into 0 7.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify (+ 0 0) into 0 7.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify (+ 0 0) into 0 7.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify (+ 0 0) into 0 7.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 7.569 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 7.569 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 7.569 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 7.569 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.569 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.569 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.569 * [taylor]: Taking taylor expansion of N in N 7.569 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify 1 into 1 7.570 * [backup-simplify]: Simplify (/ 1 1) into 1 7.570 * [taylor]: Taking taylor expansion of 1.0 in N 7.570 * [backup-simplify]: Simplify 1.0 into 1.0 7.570 * [taylor]: Taking taylor expansion of N in N 7.570 * [backup-simplify]: Simplify 0 into 0 7.570 * [backup-simplify]: Simplify 1 into 1 7.570 * [backup-simplify]: Simplify (+ 1 0) into 1 7.570 * [backup-simplify]: Simplify (/ 1 1) into 1 7.570 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.570 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.570 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.570 * [taylor]: Taking taylor expansion of N in N 7.570 * [backup-simplify]: Simplify 0 into 0 7.570 * [backup-simplify]: Simplify 1 into 1 7.571 * [backup-simplify]: Simplify (/ 1 1) into 1 7.571 * [taylor]: Taking taylor expansion of 1.0 in N 7.571 * [backup-simplify]: Simplify 1.0 into 1.0 7.571 * [taylor]: Taking taylor expansion of N in N 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 1 into 1 7.571 * [backup-simplify]: Simplify (+ 1 0) into 1 7.571 * [backup-simplify]: Simplify (/ 1 1) into 1 7.571 * [backup-simplify]: Simplify 1 into 1 7.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.576 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.578 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.578 * [backup-simplify]: Simplify 1.0 into 1.0 7.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.578 * [backup-simplify]: Simplify (+ 0 0) into 0 7.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.580 * [backup-simplify]: Simplify (+ 0 0) into 0 7.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.580 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.581 * [backup-simplify]: Simplify (+ 0 0) into 0 7.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.582 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.583 * [backup-simplify]: Simplify (+ 0 0) into 0 7.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.584 * [backup-simplify]: Simplify (+ 0 0) into 0 7.585 * [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 7.585 * [backup-simplify]: Simplify 0 into 0 7.586 * [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 7.586 * [backup-simplify]: Simplify (+ 0 0) into 0 7.586 * [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 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 7.587 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 7.587 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 7.587 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 7.587 * [taylor]: Taking taylor expansion of -1 in N 7.587 * [backup-simplify]: Simplify -1 into -1 7.587 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.587 * [taylor]: Taking taylor expansion of 1.0 in N 7.587 * [backup-simplify]: Simplify 1.0 into 1.0 7.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.587 * [taylor]: Taking taylor expansion of N in N 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.587 * [backup-simplify]: Simplify (/ 1 1) into 1 7.587 * [taylor]: Taking taylor expansion of N in N 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.588 * [backup-simplify]: Simplify (- 1) into -1 7.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.588 * [backup-simplify]: Simplify (/ -1 1) into -1 7.588 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 7.588 * [taylor]: Taking taylor expansion of -1 in N 7.588 * [backup-simplify]: Simplify -1 into -1 7.588 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.588 * [taylor]: Taking taylor expansion of 1.0 in N 7.588 * [backup-simplify]: Simplify 1.0 into 1.0 7.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.588 * [taylor]: Taking taylor expansion of N in N 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 1 into 1 7.589 * [backup-simplify]: Simplify (/ 1 1) into 1 7.589 * [taylor]: Taking taylor expansion of N in N 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 1 into 1 7.589 * [backup-simplify]: Simplify (- 1) into -1 7.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.590 * [backup-simplify]: Simplify (/ -1 1) into -1 7.590 * [backup-simplify]: Simplify (* -1 -1) into 1 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.591 * [backup-simplify]: Simplify (- 0) into 0 7.591 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.592 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.593 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 7.593 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.594 * [backup-simplify]: Simplify (- 0) into 0 7.594 * [backup-simplify]: Simplify (+ 0 0) into 0 7.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.596 * [backup-simplify]: Simplify (- 0) into 0 7.596 * [backup-simplify]: Simplify (+ 0 0) into 0 7.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.598 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.599 * [backup-simplify]: Simplify (- 0) into 0 7.599 * [backup-simplify]: Simplify (+ 0 0) into 0 7.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.600 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.601 * [backup-simplify]: Simplify (- 0) into 0 7.601 * [backup-simplify]: Simplify (+ 0 0) into 0 7.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.604 * [backup-simplify]: Simplify (- 0) into 0 7.604 * [backup-simplify]: Simplify (+ 0 0) into 0 7.605 * [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 7.606 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 7.606 * [backup-simplify]: Simplify 0 into 0 7.607 * [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 7.607 * [backup-simplify]: Simplify (- 0) into 0 7.607 * [backup-simplify]: Simplify (+ 0 0) into 0 7.608 * [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 7.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 7.609 * [backup-simplify]: Simplify 0 into 0 7.610 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 7.610 * * * [progress]: simplifying candidates 7.610 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 7.611 * * [simplify]: Extracting # 0 : cost 0 7.611 * * [simplify]: Extracting # 1 : cost 0 7.611 * * [simplify]: Extracting # 2 : cost 0 7.611 * * [simplify]: Extracting # 3 : cost 0 7.611 * * [simplify]: Extracting # 4 : cost 0 7.611 * * [simplify]: Extracting # 5 : cost 0 7.611 * * [simplify]: Extracting # 6 : cost 0 7.612 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 7.631 * * [simplify]: Extracting # 0 : cost 0 7.632 * * [simplify]: Extracting # 1 : cost 0 7.632 * * [simplify]: Extracting # 2 : cost 0 7.632 * * [simplify]: Extracting # 3 : cost 0 7.632 * * [simplify]: Extracting # 4 : cost 0 7.633 * * [simplify]: iteration 1 : 229 enodes (cost 300 ) 10.389 * * [simplify]: Extracting # 0 : cost 0 10.400 * * [simplify]: Extracting # 1 : cost 0 10.416 * * [simplify]: Extracting # 2 : cost 0 10.427 * * [simplify]: Extracting # 3 : cost 0 10.437 * * [simplify]: Extracting # 4 : cost 0 10.447 * * [simplify]: Extracting # 5 : cost 0 10.458 * * [simplify]: iteration done: 5000 enodes (cost 264 ) 10.459 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* N (+ N 1.0)) (log (* N (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* (+ N 1.0) N)) (pow (* N (+ N 1.0)) 3) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (pow (* N (+ N 1.0)) 3) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* N (+ N 1.0)) (* N (+ N 1.0)) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* N (+ N 1.0)) (* N (+ N 1.0)) (* N (+ N 1.0)) 10.459 * * * [progress]: adding candidates to table 10.549 * * [progress]: iteration 3 / 4 10.549 * * * [progress]: picking best candidate 10.562 * * * * [pick]: Picked # 10.562 * * * [progress]: localizing error 10.581 * * * [progress]: generating rewritten candidates 10.582 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 10.596 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 10.608 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 10.616 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 10.645 * * * [progress]: generating series expansions 10.646 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 10.646 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 10.646 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 10.646 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.646 * [taylor]: Taking taylor expansion of 1/3 in N 10.646 * [backup-simplify]: Simplify 1/3 into 1/3 10.646 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.646 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.646 * [taylor]: Taking taylor expansion of N in N 10.646 * [backup-simplify]: Simplify 0 into 0 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.646 * [taylor]: Taking taylor expansion of N in N 10.646 * [backup-simplify]: Simplify 0 into 0 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [taylor]: Taking taylor expansion of 1.0 in N 10.646 * [backup-simplify]: Simplify 1.0 into 1.0 10.647 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.648 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.648 * [backup-simplify]: Simplify (+ 1 0) into 1 10.650 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.650 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.651 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.652 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.652 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.652 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.653 * [taylor]: Taking taylor expansion of 1/3 in N 10.653 * [backup-simplify]: Simplify 1/3 into 1/3 10.653 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.653 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.653 * [taylor]: Taking taylor expansion of N in N 10.653 * [backup-simplify]: Simplify 0 into 0 10.653 * [backup-simplify]: Simplify 1 into 1 10.653 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.653 * [taylor]: Taking taylor expansion of N in N 10.653 * [backup-simplify]: Simplify 0 into 0 10.653 * [backup-simplify]: Simplify 1 into 1 10.653 * [taylor]: Taking taylor expansion of 1.0 in N 10.653 * [backup-simplify]: Simplify 1.0 into 1.0 10.653 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.654 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.654 * [backup-simplify]: Simplify (+ 1 0) into 1 10.656 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.656 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.657 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.657 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.658 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.658 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.659 * [backup-simplify]: Simplify (+ 0 0) into 0 10.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 10.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.671 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.671 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 10.673 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.674 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.674 * [backup-simplify]: Simplify (+ 0 0) into 0 10.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 10.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 10.681 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.683 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 10.690 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.692 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.697 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 10.698 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 10.698 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 10.698 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.698 * [taylor]: Taking taylor expansion of 1/3 in N 10.698 * [backup-simplify]: Simplify 1/3 into 1/3 10.698 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.698 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.698 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.698 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.698 * [taylor]: Taking taylor expansion of N in N 10.698 * [backup-simplify]: Simplify 0 into 0 10.698 * [backup-simplify]: Simplify 1 into 1 10.698 * [backup-simplify]: Simplify (/ 1 1) into 1 10.698 * [taylor]: Taking taylor expansion of 1.0 in N 10.699 * [backup-simplify]: Simplify 1.0 into 1.0 10.699 * [taylor]: Taking taylor expansion of N in N 10.699 * [backup-simplify]: Simplify 0 into 0 10.699 * [backup-simplify]: Simplify 1 into 1 10.699 * [backup-simplify]: Simplify (+ 1 0) into 1 10.699 * [backup-simplify]: Simplify (/ 1 1) into 1 10.700 * [backup-simplify]: Simplify (log 1) into 0 10.700 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.701 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.701 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.701 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.701 * [taylor]: Taking taylor expansion of 1/3 in N 10.701 * [backup-simplify]: Simplify 1/3 into 1/3 10.701 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.701 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.701 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.701 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.701 * [taylor]: Taking taylor expansion of N in N 10.701 * [backup-simplify]: Simplify 0 into 0 10.701 * [backup-simplify]: Simplify 1 into 1 10.701 * [backup-simplify]: Simplify (/ 1 1) into 1 10.702 * [taylor]: Taking taylor expansion of 1.0 in N 10.702 * [backup-simplify]: Simplify 1.0 into 1.0 10.702 * [taylor]: Taking taylor expansion of N in N 10.702 * [backup-simplify]: Simplify 0 into 0 10.702 * [backup-simplify]: Simplify 1 into 1 10.702 * [backup-simplify]: Simplify (+ 1 0) into 1 10.702 * [backup-simplify]: Simplify (/ 1 1) into 1 10.703 * [backup-simplify]: Simplify (log 1) into 0 10.704 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.704 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.704 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.704 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 10.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.706 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.708 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 10.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.715 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.716 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 10.719 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.719 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.721 * [backup-simplify]: Simplify (+ 0 0) into 0 10.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.735 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 10.736 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.737 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 10.743 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.743 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.744 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 10.745 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 10.745 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 10.745 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.745 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.745 * [taylor]: Taking taylor expansion of -1 in N 10.745 * [backup-simplify]: Simplify -1 into -1 10.745 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.746 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.746 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.746 * [taylor]: Taking taylor expansion of 1/3 in N 10.746 * [backup-simplify]: Simplify 1/3 into 1/3 10.746 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.746 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.746 * [taylor]: Taking taylor expansion of 1.0 in N 10.747 * [backup-simplify]: Simplify 1.0 into 1.0 10.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.747 * [taylor]: Taking taylor expansion of N in N 10.747 * [backup-simplify]: Simplify 0 into 0 10.747 * [backup-simplify]: Simplify 1 into 1 10.747 * [backup-simplify]: Simplify (/ 1 1) into 1 10.747 * [taylor]: Taking taylor expansion of N in N 10.747 * [backup-simplify]: Simplify 0 into 0 10.747 * [backup-simplify]: Simplify 1 into 1 10.748 * [backup-simplify]: Simplify (- 1) into -1 10.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.748 * [backup-simplify]: Simplify (/ -1 1) into -1 10.749 * [backup-simplify]: Simplify (log -1) into (log -1) 10.750 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.750 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.751 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.751 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.751 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.751 * [taylor]: Taking taylor expansion of -1 in N 10.751 * [backup-simplify]: Simplify -1 into -1 10.752 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.752 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.752 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.752 * [taylor]: Taking taylor expansion of 1/3 in N 10.752 * [backup-simplify]: Simplify 1/3 into 1/3 10.752 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.752 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.752 * [taylor]: Taking taylor expansion of 1.0 in N 10.753 * [backup-simplify]: Simplify 1.0 into 1.0 10.753 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.753 * [taylor]: Taking taylor expansion of N in N 10.753 * [backup-simplify]: Simplify 0 into 0 10.753 * [backup-simplify]: Simplify 1 into 1 10.753 * [backup-simplify]: Simplify (/ 1 1) into 1 10.753 * [taylor]: Taking taylor expansion of N in N 10.753 * [backup-simplify]: Simplify 0 into 0 10.753 * [backup-simplify]: Simplify 1 into 1 10.753 * [backup-simplify]: Simplify (- 1) into -1 10.753 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.754 * [backup-simplify]: Simplify (/ -1 1) into -1 10.754 * [backup-simplify]: Simplify (log -1) into (log -1) 10.754 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.755 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.755 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.756 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.756 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.757 * [backup-simplify]: Simplify (- 0) into 0 10.758 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.759 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 10.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.764 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.765 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 10.767 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.768 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.769 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.770 * [backup-simplify]: Simplify (- 0) into 0 10.770 * [backup-simplify]: Simplify (+ 0 0) into 0 10.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.783 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 10.784 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.785 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 10.798 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.802 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.803 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.806 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 10.806 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 10.807 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 10.807 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 10.807 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.807 * [taylor]: Taking taylor expansion of 1/3 in N 10.807 * [backup-simplify]: Simplify 1/3 into 1/3 10.807 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.807 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.807 * [taylor]: Taking taylor expansion of N in N 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 1 into 1 10.807 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.807 * [taylor]: Taking taylor expansion of N in N 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 1 into 1 10.807 * [taylor]: Taking taylor expansion of 1.0 in N 10.807 * [backup-simplify]: Simplify 1.0 into 1.0 10.807 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.807 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.808 * [backup-simplify]: Simplify (+ 1 0) into 1 10.809 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.809 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.809 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.810 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.810 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.810 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.810 * [taylor]: Taking taylor expansion of 1/3 in N 10.810 * [backup-simplify]: Simplify 1/3 into 1/3 10.810 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.810 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.810 * [taylor]: Taking taylor expansion of N in N 10.810 * [backup-simplify]: Simplify 0 into 0 10.810 * [backup-simplify]: Simplify 1 into 1 10.810 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.810 * [taylor]: Taking taylor expansion of N in N 10.810 * [backup-simplify]: Simplify 0 into 0 10.810 * [backup-simplify]: Simplify 1 into 1 10.810 * [taylor]: Taking taylor expansion of 1.0 in N 10.811 * [backup-simplify]: Simplify 1.0 into 1.0 10.811 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.811 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.811 * [backup-simplify]: Simplify (+ 1 0) into 1 10.812 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.813 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.813 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.814 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.814 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.814 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.815 * [backup-simplify]: Simplify (+ 0 0) into 0 10.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 10.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.820 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.820 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 10.822 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.822 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.823 * [backup-simplify]: Simplify (+ 0 0) into 0 10.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 10.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 10.830 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.832 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 10.840 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.844 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.847 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 10.847 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 10.847 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 10.847 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.847 * [taylor]: Taking taylor expansion of 1/3 in N 10.847 * [backup-simplify]: Simplify 1/3 into 1/3 10.847 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.847 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.847 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.847 * [taylor]: Taking taylor expansion of N in N 10.847 * [backup-simplify]: Simplify 0 into 0 10.847 * [backup-simplify]: Simplify 1 into 1 10.848 * [backup-simplify]: Simplify (/ 1 1) into 1 10.848 * [taylor]: Taking taylor expansion of 1.0 in N 10.848 * [backup-simplify]: Simplify 1.0 into 1.0 10.848 * [taylor]: Taking taylor expansion of N in N 10.848 * [backup-simplify]: Simplify 0 into 0 10.848 * [backup-simplify]: Simplify 1 into 1 10.848 * [backup-simplify]: Simplify (+ 1 0) into 1 10.848 * [backup-simplify]: Simplify (/ 1 1) into 1 10.849 * [backup-simplify]: Simplify (log 1) into 0 10.849 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.849 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.849 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.849 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.849 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.849 * [taylor]: Taking taylor expansion of 1/3 in N 10.849 * [backup-simplify]: Simplify 1/3 into 1/3 10.849 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.849 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.849 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.849 * [taylor]: Taking taylor expansion of N in N 10.849 * [backup-simplify]: Simplify 0 into 0 10.849 * [backup-simplify]: Simplify 1 into 1 10.849 * [backup-simplify]: Simplify (/ 1 1) into 1 10.849 * [taylor]: Taking taylor expansion of 1.0 in N 10.850 * [backup-simplify]: Simplify 1.0 into 1.0 10.850 * [taylor]: Taking taylor expansion of N in N 10.850 * [backup-simplify]: Simplify 0 into 0 10.850 * [backup-simplify]: Simplify 1 into 1 10.850 * [backup-simplify]: Simplify (+ 1 0) into 1 10.850 * [backup-simplify]: Simplify (/ 1 1) into 1 10.850 * [backup-simplify]: Simplify (log 1) into 0 10.851 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.851 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 10.851 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 10.851 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 10.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.852 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.853 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 10.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.857 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.857 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 10.859 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.859 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 10.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.860 * [backup-simplify]: Simplify (+ 0 0) into 0 10.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.867 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 10.868 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 10.868 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 10.872 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.872 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 10.873 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 10.873 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 10.873 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 10.873 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.873 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.874 * [taylor]: Taking taylor expansion of -1 in N 10.874 * [backup-simplify]: Simplify -1 into -1 10.874 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.875 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.875 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.875 * [taylor]: Taking taylor expansion of 1/3 in N 10.875 * [backup-simplify]: Simplify 1/3 into 1/3 10.875 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.875 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.875 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.875 * [taylor]: Taking taylor expansion of 1.0 in N 10.875 * [backup-simplify]: Simplify 1.0 into 1.0 10.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.875 * [taylor]: Taking taylor expansion of N in N 10.875 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify 1 into 1 10.876 * [backup-simplify]: Simplify (/ 1 1) into 1 10.876 * [taylor]: Taking taylor expansion of N in N 10.876 * [backup-simplify]: Simplify 0 into 0 10.876 * [backup-simplify]: Simplify 1 into 1 10.876 * [backup-simplify]: Simplify (- 1) into -1 10.877 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.877 * [backup-simplify]: Simplify (/ -1 1) into -1 10.878 * [backup-simplify]: Simplify (log -1) into (log -1) 10.878 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.879 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.879 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.880 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 10.880 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.880 * [taylor]: Taking taylor expansion of -1 in N 10.880 * [backup-simplify]: Simplify -1 into -1 10.880 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.881 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.881 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 10.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 10.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 10.881 * [taylor]: Taking taylor expansion of 1/3 in N 10.881 * [backup-simplify]: Simplify 1/3 into 1/3 10.881 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 10.881 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 10.881 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.881 * [taylor]: Taking taylor expansion of 1.0 in N 10.881 * [backup-simplify]: Simplify 1.0 into 1.0 10.881 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.881 * [taylor]: Taking taylor expansion of N in N 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [backup-simplify]: Simplify 1 into 1 10.882 * [backup-simplify]: Simplify (/ 1 1) into 1 10.882 * [taylor]: Taking taylor expansion of N in N 10.882 * [backup-simplify]: Simplify 0 into 0 10.882 * [backup-simplify]: Simplify 1 into 1 10.882 * [backup-simplify]: Simplify (- 1) into -1 10.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.883 * [backup-simplify]: Simplify (/ -1 1) into -1 10.883 * [backup-simplify]: Simplify (log -1) into (log -1) 10.884 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.885 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 10.885 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 10.886 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.887 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.889 * [backup-simplify]: Simplify (- 0) into 0 10.889 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.891 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 10.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.900 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.901 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 10.903 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.904 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.908 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.910 * [backup-simplify]: Simplify (- 0) into 0 10.910 * [backup-simplify]: Simplify (+ 0 0) into 0 10.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 10.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 10.918 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 10.919 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 10.923 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 10.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.926 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.928 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 10.932 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 10.933 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 10.933 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 10.933 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 10.933 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.933 * [taylor]: Taking taylor expansion of 1/3 in N 10.933 * [backup-simplify]: Simplify 1/3 into 1/3 10.933 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.933 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.933 * [taylor]: Taking taylor expansion of N in N 10.933 * [backup-simplify]: Simplify 0 into 0 10.933 * [backup-simplify]: Simplify 1 into 1 10.933 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.933 * [taylor]: Taking taylor expansion of N in N 10.933 * [backup-simplify]: Simplify 0 into 0 10.933 * [backup-simplify]: Simplify 1 into 1 10.933 * [taylor]: Taking taylor expansion of 1.0 in N 10.933 * [backup-simplify]: Simplify 1.0 into 1.0 10.934 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.934 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.935 * [backup-simplify]: Simplify (+ 1 0) into 1 10.936 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.937 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.938 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.938 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.939 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.939 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 10.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 10.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 10.939 * [taylor]: Taking taylor expansion of 1/3 in N 10.939 * [backup-simplify]: Simplify 1/3 into 1/3 10.939 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 10.939 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 10.939 * [taylor]: Taking taylor expansion of N in N 10.939 * [backup-simplify]: Simplify 0 into 0 10.939 * [backup-simplify]: Simplify 1 into 1 10.939 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.939 * [taylor]: Taking taylor expansion of N in N 10.939 * [backup-simplify]: Simplify 0 into 0 10.939 * [backup-simplify]: Simplify 1 into 1 10.939 * [taylor]: Taking taylor expansion of 1.0 in N 10.940 * [backup-simplify]: Simplify 1.0 into 1.0 10.940 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.940 * [backup-simplify]: Simplify (* 0 1.0) into 0 10.941 * [backup-simplify]: Simplify (+ 1 0) into 1 10.943 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 10.943 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.944 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.945 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 10.945 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.946 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 10.947 * [backup-simplify]: Simplify (+ 0 0) into 0 10.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 10.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.955 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.956 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 10.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.959 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 10.960 * [backup-simplify]: Simplify (+ 0 0) into 0 10.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 10.974 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 10.975 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 10.978 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 10.989 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.993 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 10.998 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 10.999 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 10.999 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 10.999 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 10.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 10.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 10.999 * [taylor]: Taking taylor expansion of 1/3 in N 10.999 * [backup-simplify]: Simplify 1/3 into 1/3 10.999 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 10.999 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 10.999 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.999 * [taylor]: Taking taylor expansion of N in N 10.999 * [backup-simplify]: Simplify 0 into 0 10.999 * [backup-simplify]: Simplify 1 into 1 11.000 * [backup-simplify]: Simplify (/ 1 1) into 1 11.000 * [taylor]: Taking taylor expansion of 1.0 in N 11.000 * [backup-simplify]: Simplify 1.0 into 1.0 11.000 * [taylor]: Taking taylor expansion of N in N 11.000 * [backup-simplify]: Simplify 0 into 0 11.000 * [backup-simplify]: Simplify 1 into 1 11.001 * [backup-simplify]: Simplify (+ 1 0) into 1 11.001 * [backup-simplify]: Simplify (/ 1 1) into 1 11.001 * [backup-simplify]: Simplify (log 1) into 0 11.002 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.002 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 11.002 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 11.002 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 11.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 11.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 11.002 * [taylor]: Taking taylor expansion of 1/3 in N 11.002 * [backup-simplify]: Simplify 1/3 into 1/3 11.002 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 11.002 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 11.002 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.003 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.003 * [taylor]: Taking taylor expansion of N in N 11.003 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify 1 into 1 11.003 * [backup-simplify]: Simplify (/ 1 1) into 1 11.003 * [taylor]: Taking taylor expansion of 1.0 in N 11.003 * [backup-simplify]: Simplify 1.0 into 1.0 11.003 * [taylor]: Taking taylor expansion of N in N 11.003 * [backup-simplify]: Simplify 0 into 0 11.003 * [backup-simplify]: Simplify 1 into 1 11.004 * [backup-simplify]: Simplify (+ 1 0) into 1 11.004 * [backup-simplify]: Simplify (/ 1 1) into 1 11.004 * [backup-simplify]: Simplify (log 1) into 0 11.005 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.005 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 11.005 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 11.005 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 11.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.007 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.009 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 11.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 11.016 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.017 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 11.020 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 11.020 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 11.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.021 * [backup-simplify]: Simplify (+ 0 0) into 0 11.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 11.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 11.036 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.037 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 11.043 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 11.043 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 11.044 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 11.045 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 11.045 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 11.045 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 11.045 * [taylor]: Taking taylor expansion of (cbrt -1) in N 11.045 * [taylor]: Taking taylor expansion of -1 in N 11.045 * [backup-simplify]: Simplify -1 into -1 11.045 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.046 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.046 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 11.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 11.046 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 11.046 * [taylor]: Taking taylor expansion of 1/3 in N 11.046 * [backup-simplify]: Simplify 1/3 into 1/3 11.046 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 11.046 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 11.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.047 * [taylor]: Taking taylor expansion of 1.0 in N 11.047 * [backup-simplify]: Simplify 1.0 into 1.0 11.047 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.047 * [taylor]: Taking taylor expansion of N in N 11.047 * [backup-simplify]: Simplify 0 into 0 11.047 * [backup-simplify]: Simplify 1 into 1 11.047 * [backup-simplify]: Simplify (/ 1 1) into 1 11.047 * [taylor]: Taking taylor expansion of N in N 11.047 * [backup-simplify]: Simplify 0 into 0 11.047 * [backup-simplify]: Simplify 1 into 1 11.048 * [backup-simplify]: Simplify (- 1) into -1 11.048 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.049 * [backup-simplify]: Simplify (/ -1 1) into -1 11.049 * [backup-simplify]: Simplify (log -1) into (log -1) 11.050 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 11.050 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 11.051 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 11.051 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 11.051 * [taylor]: Taking taylor expansion of (cbrt -1) in N 11.051 * [taylor]: Taking taylor expansion of -1 in N 11.051 * [backup-simplify]: Simplify -1 into -1 11.052 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.052 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.052 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 11.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 11.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 11.053 * [taylor]: Taking taylor expansion of 1/3 in N 11.053 * [backup-simplify]: Simplify 1/3 into 1/3 11.053 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 11.053 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 11.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.053 * [taylor]: Taking taylor expansion of 1.0 in N 11.053 * [backup-simplify]: Simplify 1.0 into 1.0 11.053 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.053 * [taylor]: Taking taylor expansion of N in N 11.053 * [backup-simplify]: Simplify 0 into 0 11.053 * [backup-simplify]: Simplify 1 into 1 11.053 * [backup-simplify]: Simplify (/ 1 1) into 1 11.053 * [taylor]: Taking taylor expansion of N in N 11.053 * [backup-simplify]: Simplify 0 into 0 11.053 * [backup-simplify]: Simplify 1 into 1 11.058 * [backup-simplify]: Simplify (- 1) into -1 11.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.060 * [backup-simplify]: Simplify (/ -1 1) into -1 11.060 * [backup-simplify]: Simplify (log -1) into (log -1) 11.061 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 11.062 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 11.062 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 11.064 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 11.065 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 11.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.066 * [backup-simplify]: Simplify (- 0) into 0 11.067 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.069 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 11.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 11.078 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 11.079 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 11.083 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 11.085 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 11.086 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 11.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.088 * [backup-simplify]: Simplify (- 0) into 0 11.088 * [backup-simplify]: Simplify (+ 0 0) into 0 11.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 11.102 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 11.103 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 11.105 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 11.113 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 11.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.117 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 11.118 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 11.122 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 11.123 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 11.123 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) 11.123 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 11.123 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 11.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 11.123 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 11.123 * [taylor]: Taking taylor expansion of 1/3 in N 11.123 * [backup-simplify]: Simplify 1/3 into 1/3 11.123 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 11.123 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 11.123 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.123 * [taylor]: Taking taylor expansion of N in N 11.123 * [backup-simplify]: Simplify 0 into 0 11.123 * [backup-simplify]: Simplify 1 into 1 11.123 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 11.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.124 * [taylor]: Taking taylor expansion of N in N 11.124 * [backup-simplify]: Simplify 0 into 0 11.124 * [backup-simplify]: Simplify 1 into 1 11.124 * [taylor]: Taking taylor expansion of 1.0 in N 11.124 * [backup-simplify]: Simplify 1.0 into 1.0 11.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.125 * [backup-simplify]: Simplify (* 1 1) into 1 11.125 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 11.126 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 11.126 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.127 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 11.127 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 11.128 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 11.128 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 11.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 11.128 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 11.128 * [taylor]: Taking taylor expansion of 1/3 in N 11.128 * [backup-simplify]: Simplify 1/3 into 1/3 11.128 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 11.128 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 11.128 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.128 * [taylor]: Taking taylor expansion of N in N 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 1 into 1 11.128 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 11.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.128 * [taylor]: Taking taylor expansion of N in N 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 1 into 1 11.129 * [taylor]: Taking taylor expansion of 1.0 in N 11.129 * [backup-simplify]: Simplify 1.0 into 1.0 11.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.129 * [backup-simplify]: Simplify (* 1 1) into 1 11.130 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 11.130 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 11.131 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.132 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 11.132 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 11.133 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 11.133 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 11.134 * [backup-simplify]: Simplify (+ 1 0) into 1 11.135 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 11.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.138 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 11.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 11.147 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 11.148 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 11.151 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 11.152 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 11.152 * [backup-simplify]: Simplify (+ 0 0) into 0 11.153 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 11.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.155 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 11.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 11.171 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 11.179 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 11.192 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 11.199 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 11.205 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) 11.205 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) 11.205 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 11.205 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 11.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 11.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 11.206 * [taylor]: Taking taylor expansion of 1/3 in N 11.206 * [backup-simplify]: Simplify 1/3 into 1/3 11.206 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 11.206 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 11.206 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 11.206 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.206 * [taylor]: Taking taylor expansion of N in N 11.206 * [backup-simplify]: Simplify 0 into 0 11.206 * [backup-simplify]: Simplify 1 into 1 11.206 * [backup-simplify]: Simplify (/ 1 1) into 1 11.206 * [taylor]: Taking taylor expansion of 1.0 in N 11.206 * [backup-simplify]: Simplify 1.0 into 1.0 11.207 * [backup-simplify]: Simplify (+ 1 0) into 1 11.207 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.207 * [taylor]: Taking taylor expansion of N in N 11.207 * [backup-simplify]: Simplify 0 into 0 11.207 * [backup-simplify]: Simplify 1 into 1 11.207 * [backup-simplify]: Simplify (* 1 1) into 1 11.208 * [backup-simplify]: Simplify (* 1 1) into 1 11.208 * [backup-simplify]: Simplify (/ 1 1) into 1 11.208 * [backup-simplify]: Simplify (log 1) into 0 11.209 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 11.209 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 11.209 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 11.209 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 11.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 11.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 11.209 * [taylor]: Taking taylor expansion of 1/3 in N 11.209 * [backup-simplify]: Simplify 1/3 into 1/3 11.209 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 11.209 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 11.209 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 11.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.209 * [taylor]: Taking taylor expansion of N in N 11.210 * [backup-simplify]: Simplify 0 into 0 11.210 * [backup-simplify]: Simplify 1 into 1 11.210 * [backup-simplify]: Simplify (/ 1 1) into 1 11.210 * [taylor]: Taking taylor expansion of 1.0 in N 11.210 * [backup-simplify]: Simplify 1.0 into 1.0 11.210 * [backup-simplify]: Simplify (+ 1 0) into 1 11.210 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.210 * [taylor]: Taking taylor expansion of N in N 11.210 * [backup-simplify]: Simplify 0 into 0 11.210 * [backup-simplify]: Simplify 1 into 1 11.211 * [backup-simplify]: Simplify (* 1 1) into 1 11.211 * [backup-simplify]: Simplify (* 1 1) into 1 11.211 * [backup-simplify]: Simplify (/ 1 1) into 1 11.212 * [backup-simplify]: Simplify (log 1) into 0 11.212 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 11.212 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 11.213 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 11.213 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 11.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.214 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.215 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 11.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.223 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 11.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 11.230 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 11.231 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 11.233 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 11.234 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 11.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.235 * [backup-simplify]: Simplify (+ 0 0) into 0 11.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 11.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.241 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 11.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 11.257 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 11.258 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 11.264 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 11.264 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 11.265 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) 11.266 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) 11.266 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in (N) around 0 11.266 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 11.266 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 11.266 * [taylor]: Taking taylor expansion of (cbrt -1) in N 11.266 * [taylor]: Taking taylor expansion of -1 in N 11.267 * [backup-simplify]: Simplify -1 into -1 11.267 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.268 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.268 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 11.268 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 11.268 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 11.268 * [taylor]: Taking taylor expansion of 1/3 in N 11.268 * [backup-simplify]: Simplify 1/3 into 1/3 11.268 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 11.268 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 11.268 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 11.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.268 * [taylor]: Taking taylor expansion of 1.0 in N 11.268 * [backup-simplify]: Simplify 1.0 into 1.0 11.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.268 * [taylor]: Taking taylor expansion of N in N 11.268 * [backup-simplify]: Simplify 0 into 0 11.268 * [backup-simplify]: Simplify 1 into 1 11.269 * [backup-simplify]: Simplify (/ 1 1) into 1 11.269 * [backup-simplify]: Simplify (- 1) into -1 11.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.270 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.270 * [taylor]: Taking taylor expansion of N in N 11.270 * [backup-simplify]: Simplify 0 into 0 11.270 * [backup-simplify]: Simplify 1 into 1 11.270 * [backup-simplify]: Simplify (* -1 -1) into 1 11.271 * [backup-simplify]: Simplify (* 1 1) into 1 11.271 * [backup-simplify]: Simplify (/ 1 1) into 1 11.271 * [backup-simplify]: Simplify (log 1) into 0 11.272 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 11.272 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 11.272 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 11.272 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3)) in N 11.272 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 11.272 * [taylor]: Taking taylor expansion of (cbrt -1) in N 11.272 * [taylor]: Taking taylor expansion of -1 in N 11.272 * [backup-simplify]: Simplify -1 into -1 11.273 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.274 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.274 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 11.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 11.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 11.274 * [taylor]: Taking taylor expansion of 1/3 in N 11.274 * [backup-simplify]: Simplify 1/3 into 1/3 11.274 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 11.274 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 11.274 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 11.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.274 * [taylor]: Taking taylor expansion of 1.0 in N 11.274 * [backup-simplify]: Simplify 1.0 into 1.0 11.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.274 * [taylor]: Taking taylor expansion of N in N 11.274 * [backup-simplify]: Simplify 0 into 0 11.274 * [backup-simplify]: Simplify 1 into 1 11.275 * [backup-simplify]: Simplify (/ 1 1) into 1 11.275 * [backup-simplify]: Simplify (- 1) into -1 11.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.275 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.275 * [taylor]: Taking taylor expansion of N in N 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify 1 into 1 11.276 * [backup-simplify]: Simplify (* -1 -1) into 1 11.276 * [backup-simplify]: Simplify (* 1 1) into 1 11.277 * [backup-simplify]: Simplify (/ 1 1) into 1 11.277 * [backup-simplify]: Simplify (log 1) into 0 11.278 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 11.278 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 11.278 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 11.279 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.280 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -4/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 11.282 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)) 11.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.283 * [backup-simplify]: Simplify (- 0) into 0 11.284 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.285 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 11.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.289 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 11.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 11.297 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 11.298 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 11.302 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 11.303 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.304 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 11.306 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 11.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.308 * [backup-simplify]: Simplify (- 0) into 0 11.308 * [backup-simplify]: Simplify (+ 0 0) into 0 11.311 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 11.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.315 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 11.332 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 11.333 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 11.334 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 11.340 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 11.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.342 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.345 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* 0 (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3))) (* 0 (pow N -4/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 11.346 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) into (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 4)) 1/3)))) 11.354 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) (/ 1 (- N))) (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)))) into (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 11.354 * * * [progress]: simplifying candidates 11.357 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (cbrt -1) 2) (pow (pow N 4) 1/3)) (* 0.6666666666666666 (* (pow (cbrt -1) 2) (pow N 1/3)))) (* 0.1111111111111111 (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)))) 11.362 * * [simplify]: Extracting # 0 : cost 0 11.362 * * [simplify]: Extracting # 1 : cost 0 11.362 * * [simplify]: Extracting # 2 : cost 0 11.362 * * [simplify]: Extracting # 3 : cost 0 11.363 * * [simplify]: Extracting # 4 : cost 0 11.363 * * [simplify]: Extracting # 5 : cost 0 11.364 * * [simplify]: Extracting # 6 : cost 0 11.364 * * [simplify]: Extracting # 7 : cost 0 11.364 * * [simplify]: Extracting # 8 : cost 0 11.365 * * [simplify]: Extracting # 9 : cost 0 11.365 * * [simplify]: Extracting # 10 : cost 0 11.365 * * [simplify]: Extracting # 11 : cost 0 11.366 * * [simplify]: Extracting # 12 : cost 0 11.366 * * [simplify]: Extracting # 13 : cost 0 11.367 * * [simplify]: Extracting # 14 : cost 0 11.367 * * [simplify]: Extracting # 15 : cost 0 11.367 * * [simplify]: iteration 0 : 152 enodes (cost 1527 ) 11.497 * * [simplify]: Extracting # 0 : cost 0 11.498 * * [simplify]: Extracting # 1 : cost 0 11.500 * * [simplify]: Extracting # 2 : cost 0 11.505 * * [simplify]: Extracting # 3 : cost 0 11.507 * * [simplify]: Extracting # 4 : cost 0 11.508 * * [simplify]: Extracting # 5 : cost 0 11.509 * * [simplify]: Extracting # 6 : cost 0 11.510 * * [simplify]: iteration 1 : 954 enodes (cost 1425 ) 14.814 * * [simplify]: Extracting # 0 : cost 0 14.819 * * [simplify]: Extracting # 1 : cost 0 14.825 * * [simplify]: Extracting # 2 : cost 0 14.831 * * [simplify]: Extracting # 3 : cost 0 14.837 * * [simplify]: Extracting # 4 : cost 0 14.845 * * [simplify]: Extracting # 5 : cost 0 14.851 * * [simplify]: iteration done: 5000 enodes (cost 1241 ) 14.851 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) 2/3 2 (pow (cbrt (* (+ N 1.0) N)) (* 2 3)) (pow (cbrt (cbrt (* (+ N 1.0) N))) (* 2 3)) 2 (* (log (cbrt (* (+ N 1.0) N))) 2) (* (log (cbrt (* (+ N 1.0) N))) 2) (exp (pow (cbrt (cbrt (* (+ N 1.0) N))) (* 2 3))) (pow (cbrt (* (+ N 1.0) N)) (* 2 3)) (* (cbrt (pow (cbrt (cbrt (* (+ N 1.0) N))) (* 2 3))) (cbrt (pow (cbrt (cbrt (* (+ N 1.0) N))) (* 2 3)))) (cbrt (pow (cbrt (cbrt (* (+ N 1.0) N))) (* 2 3))) (pow (cbrt (* (+ N 1.0) N)) (* 2 3)) (fabs (cbrt (* (+ N 1.0) N))) (fabs (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (+ (* (- 1.0 N) 1.0) (* N N)))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (pow N 2/3) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 1 (pow (cbrt (cbrt (* (+ N 1.0) N))) (* 2 3)) (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)) 2/3 2 (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (cbrt (* (+ N 1.0) N)) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (pow (sqrt (cbrt (* (+ N 1.0) N))) 3) (pow (cbrt (cbrt (* (+ N 1.0) N))) (* 2 3)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N) (- 0.3333333333333333 (/ 0.1111111111111111 N)))) (+ (- (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) (pow 1.0 2)))) (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* 0.6666666666666666 N) (* 0.5555555555555556 (* N N))))) (- (+ (* 0.6666666666666666 (cbrt N)) (pow (/ 1 N) -4/3)) (* (cbrt (/ 1 (pow N 2))) 0.1111111111111111)) (- (+ (* (cbrt (pow N 4)) (pow (cbrt -1) 2)) (* 0.6666666666666666 (* (cbrt N) (pow (cbrt -1) 2)))) (* (* (cbrt (/ 1 (pow N 2))) (pow (cbrt -1) 2)) 0.1111111111111111)) 14.852 * * * [progress]: adding candidates to table 15.182 * * [progress]: iteration 4 / 4 15.182 * * * [progress]: picking best candidate 15.194 * * * * [pick]: Picked # 15.194 * * * [progress]: localizing error 15.227 * * * [progress]: generating rewritten candidates 15.227 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 15.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 1) 15.243 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2 2 1) 15.257 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2 1 1) 15.267 * * * [progress]: generating series expansions 15.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 15.267 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 15.267 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 15.267 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 15.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 15.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 15.267 * [taylor]: Taking taylor expansion of 1/3 in N 15.267 * [backup-simplify]: Simplify 1/3 into 1/3 15.267 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 15.267 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 15.267 * [taylor]: Taking taylor expansion of N in N 15.267 * [backup-simplify]: Simplify 0 into 0 15.267 * [backup-simplify]: Simplify 1 into 1 15.267 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.267 * [taylor]: Taking taylor expansion of N in N 15.267 * [backup-simplify]: Simplify 0 into 0 15.267 * [backup-simplify]: Simplify 1 into 1 15.267 * [taylor]: Taking taylor expansion of 1.0 in N 15.267 * [backup-simplify]: Simplify 1.0 into 1.0 15.268 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.268 * [backup-simplify]: Simplify (* 0 1.0) into 0 15.268 * [backup-simplify]: Simplify (+ 1 0) into 1 15.269 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 15.270 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.270 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.270 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 15.271 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.271 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 15.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 15.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 15.271 * [taylor]: Taking taylor expansion of 1/3 in N 15.271 * [backup-simplify]: Simplify 1/3 into 1/3 15.271 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 15.271 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 15.271 * [taylor]: Taking taylor expansion of N in N 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify 1 into 1 15.271 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.271 * [taylor]: Taking taylor expansion of N in N 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify 1 into 1 15.271 * [taylor]: Taking taylor expansion of 1.0 in N 15.271 * [backup-simplify]: Simplify 1.0 into 1.0 15.271 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.272 * [backup-simplify]: Simplify (* 0 1.0) into 0 15.272 * [backup-simplify]: Simplify (+ 1 0) into 1 15.273 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 15.273 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.274 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.274 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 15.275 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.275 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.275 * [backup-simplify]: Simplify (+ 0 0) into 0 15.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 15.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 15.280 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.281 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 15.283 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 15.283 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 15.283 * [backup-simplify]: Simplify (+ 0 0) into 0 15.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 15.292 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 15.293 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.295 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 15.302 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 15.304 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 15.307 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 15.307 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 15.307 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 15.307 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 15.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 15.307 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 15.307 * [taylor]: Taking taylor expansion of 1/3 in N 15.307 * [backup-simplify]: Simplify 1/3 into 1/3 15.307 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 15.307 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 15.307 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.307 * [taylor]: Taking taylor expansion of N in N 15.307 * [backup-simplify]: Simplify 0 into 0 15.307 * [backup-simplify]: Simplify 1 into 1 15.307 * [backup-simplify]: Simplify (/ 1 1) into 1 15.308 * [taylor]: Taking taylor expansion of 1.0 in N 15.308 * [backup-simplify]: Simplify 1.0 into 1.0 15.308 * [taylor]: Taking taylor expansion of N in N 15.308 * [backup-simplify]: Simplify 0 into 0 15.308 * [backup-simplify]: Simplify 1 into 1 15.308 * [backup-simplify]: Simplify (+ 1 0) into 1 15.308 * [backup-simplify]: Simplify (/ 1 1) into 1 15.308 * [backup-simplify]: Simplify (log 1) into 0 15.309 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.309 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 15.309 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 15.309 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 15.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 15.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 15.309 * [taylor]: Taking taylor expansion of 1/3 in N 15.309 * [backup-simplify]: Simplify 1/3 into 1/3 15.309 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 15.309 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 15.309 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.309 * [taylor]: Taking taylor expansion of N in N 15.309 * [backup-simplify]: Simplify 0 into 0 15.309 * [backup-simplify]: Simplify 1 into 1 15.309 * [backup-simplify]: Simplify (/ 1 1) into 1 15.309 * [taylor]: Taking taylor expansion of 1.0 in N 15.309 * [backup-simplify]: Simplify 1.0 into 1.0 15.309 * [taylor]: Taking taylor expansion of N in N 15.309 * [backup-simplify]: Simplify 0 into 0 15.309 * [backup-simplify]: Simplify 1 into 1 15.310 * [backup-simplify]: Simplify (+ 1 0) into 1 15.310 * [backup-simplify]: Simplify (/ 1 1) into 1 15.310 * [backup-simplify]: Simplify (log 1) into 0 15.310 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.311 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 15.311 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 15.311 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 15.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.313 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 15.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 15.317 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.318 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 15.319 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 15.320 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 15.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.320 * [backup-simplify]: Simplify (+ 0 0) into 0 15.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 15.328 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 15.329 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.329 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 15.333 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 15.333 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 15.334 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 15.334 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 15.334 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 15.334 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 15.334 * [taylor]: Taking taylor expansion of (cbrt -1) in N 15.334 * [taylor]: Taking taylor expansion of -1 in N 15.334 * [backup-simplify]: Simplify -1 into -1 15.334 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.335 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.335 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 15.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 15.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 15.335 * [taylor]: Taking taylor expansion of 1/3 in N 15.335 * [backup-simplify]: Simplify 1/3 into 1/3 15.335 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 15.335 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 15.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.335 * [taylor]: Taking taylor expansion of 1.0 in N 15.335 * [backup-simplify]: Simplify 1.0 into 1.0 15.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.335 * [taylor]: Taking taylor expansion of N in N 15.335 * [backup-simplify]: Simplify 0 into 0 15.335 * [backup-simplify]: Simplify 1 into 1 15.335 * [backup-simplify]: Simplify (/ 1 1) into 1 15.335 * [taylor]: Taking taylor expansion of N in N 15.335 * [backup-simplify]: Simplify 0 into 0 15.335 * [backup-simplify]: Simplify 1 into 1 15.336 * [backup-simplify]: Simplify (- 1) into -1 15.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.336 * [backup-simplify]: Simplify (/ -1 1) into -1 15.336 * [backup-simplify]: Simplify (log -1) into (log -1) 15.337 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.337 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 15.338 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 15.338 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 15.338 * [taylor]: Taking taylor expansion of (cbrt -1) in N 15.338 * [taylor]: Taking taylor expansion of -1 in N 15.338 * [backup-simplify]: Simplify -1 into -1 15.338 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.338 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.338 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 15.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 15.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 15.339 * [taylor]: Taking taylor expansion of 1/3 in N 15.339 * [backup-simplify]: Simplify 1/3 into 1/3 15.339 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 15.339 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 15.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.339 * [taylor]: Taking taylor expansion of 1.0 in N 15.339 * [backup-simplify]: Simplify 1.0 into 1.0 15.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.339 * [taylor]: Taking taylor expansion of N in N 15.339 * [backup-simplify]: Simplify 0 into 0 15.339 * [backup-simplify]: Simplify 1 into 1 15.339 * [backup-simplify]: Simplify (/ 1 1) into 1 15.339 * [taylor]: Taking taylor expansion of N in N 15.339 * [backup-simplify]: Simplify 0 into 0 15.339 * [backup-simplify]: Simplify 1 into 1 15.339 * [backup-simplify]: Simplify (- 1) into -1 15.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.340 * [backup-simplify]: Simplify (/ -1 1) into -1 15.340 * [backup-simplify]: Simplify (log -1) into (log -1) 15.341 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.341 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 15.341 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 15.342 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.343 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.344 * [backup-simplify]: Simplify (- 0) into 0 15.344 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.345 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 15.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 15.355 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.355 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 15.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.359 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.360 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.361 * [backup-simplify]: Simplify (- 0) into 0 15.361 * [backup-simplify]: Simplify (+ 0 0) into 0 15.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 15.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 15.373 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.374 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 15.381 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.385 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.386 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.390 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 15.391 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 1) 15.391 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 15.391 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 15.391 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 15.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 15.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 15.391 * [taylor]: Taking taylor expansion of 1/3 in N 15.391 * [backup-simplify]: Simplify 1/3 into 1/3 15.391 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 15.391 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 15.391 * [taylor]: Taking taylor expansion of N in N 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [backup-simplify]: Simplify 1 into 1 15.391 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.391 * [taylor]: Taking taylor expansion of N in N 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [backup-simplify]: Simplify 1 into 1 15.391 * [taylor]: Taking taylor expansion of 1.0 in N 15.391 * [backup-simplify]: Simplify 1.0 into 1.0 15.392 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.392 * [backup-simplify]: Simplify (* 0 1.0) into 0 15.393 * [backup-simplify]: Simplify (+ 1 0) into 1 15.394 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 15.395 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.396 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.396 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 15.397 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.397 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 15.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 15.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 15.397 * [taylor]: Taking taylor expansion of 1/3 in N 15.397 * [backup-simplify]: Simplify 1/3 into 1/3 15.397 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 15.397 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 15.397 * [taylor]: Taking taylor expansion of N in N 15.397 * [backup-simplify]: Simplify 0 into 0 15.397 * [backup-simplify]: Simplify 1 into 1 15.397 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.397 * [taylor]: Taking taylor expansion of N in N 15.397 * [backup-simplify]: Simplify 0 into 0 15.397 * [backup-simplify]: Simplify 1 into 1 15.397 * [taylor]: Taking taylor expansion of 1.0 in N 15.397 * [backup-simplify]: Simplify 1.0 into 1.0 15.397 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.398 * [backup-simplify]: Simplify (* 0 1.0) into 0 15.398 * [backup-simplify]: Simplify (+ 1 0) into 1 15.400 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 15.400 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.401 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.402 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 15.402 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.403 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.403 * [backup-simplify]: Simplify (+ 0 0) into 0 15.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 15.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 15.411 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.412 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 15.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 15.416 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 15.416 * [backup-simplify]: Simplify (+ 0 0) into 0 15.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 15.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 15.428 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.429 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 15.436 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 15.438 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 15.441 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 15.442 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 15.442 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 15.442 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 15.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 15.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 15.442 * [taylor]: Taking taylor expansion of 1/3 in N 15.442 * [backup-simplify]: Simplify 1/3 into 1/3 15.442 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 15.442 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 15.442 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.442 * [taylor]: Taking taylor expansion of N in N 15.442 * [backup-simplify]: Simplify 0 into 0 15.442 * [backup-simplify]: Simplify 1 into 1 15.442 * [backup-simplify]: Simplify (/ 1 1) into 1 15.442 * [taylor]: Taking taylor expansion of 1.0 in N 15.442 * [backup-simplify]: Simplify 1.0 into 1.0 15.442 * [taylor]: Taking taylor expansion of N in N 15.442 * [backup-simplify]: Simplify 0 into 0 15.442 * [backup-simplify]: Simplify 1 into 1 15.443 * [backup-simplify]: Simplify (+ 1 0) into 1 15.443 * [backup-simplify]: Simplify (/ 1 1) into 1 15.443 * [backup-simplify]: Simplify (log 1) into 0 15.443 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.443 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 15.444 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 15.444 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 15.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 15.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 15.444 * [taylor]: Taking taylor expansion of 1/3 in N 15.444 * [backup-simplify]: Simplify 1/3 into 1/3 15.444 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 15.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 15.444 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.444 * [taylor]: Taking taylor expansion of N in N 15.444 * [backup-simplify]: Simplify 0 into 0 15.444 * [backup-simplify]: Simplify 1 into 1 15.444 * [backup-simplify]: Simplify (/ 1 1) into 1 15.444 * [taylor]: Taking taylor expansion of 1.0 in N 15.444 * [backup-simplify]: Simplify 1.0 into 1.0 15.444 * [taylor]: Taking taylor expansion of N in N 15.444 * [backup-simplify]: Simplify 0 into 0 15.444 * [backup-simplify]: Simplify 1 into 1 15.444 * [backup-simplify]: Simplify (+ 1 0) into 1 15.445 * [backup-simplify]: Simplify (/ 1 1) into 1 15.445 * [backup-simplify]: Simplify (log 1) into 0 15.445 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.445 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 15.445 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 15.445 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 15.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.446 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.448 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 15.452 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 15.452 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.452 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 15.454 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 15.454 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 15.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.455 * [backup-simplify]: Simplify (+ 0 0) into 0 15.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 15.464 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 15.464 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.465 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 15.476 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 15.477 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 15.478 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 15.478 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 15.478 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 15.478 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 15.478 * [taylor]: Taking taylor expansion of (cbrt -1) in N 15.478 * [taylor]: Taking taylor expansion of -1 in N 15.478 * [backup-simplify]: Simplify -1 into -1 15.479 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.480 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.480 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 15.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 15.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 15.480 * [taylor]: Taking taylor expansion of 1/3 in N 15.480 * [backup-simplify]: Simplify 1/3 into 1/3 15.480 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 15.480 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 15.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.480 * [taylor]: Taking taylor expansion of 1.0 in N 15.480 * [backup-simplify]: Simplify 1.0 into 1.0 15.480 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.480 * [taylor]: Taking taylor expansion of N in N 15.480 * [backup-simplify]: Simplify 0 into 0 15.480 * [backup-simplify]: Simplify 1 into 1 15.480 * [backup-simplify]: Simplify (/ 1 1) into 1 15.480 * [taylor]: Taking taylor expansion of N in N 15.480 * [backup-simplify]: Simplify 0 into 0 15.481 * [backup-simplify]: Simplify 1 into 1 15.481 * [backup-simplify]: Simplify (- 1) into -1 15.481 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.482 * [backup-simplify]: Simplify (/ -1 1) into -1 15.482 * [backup-simplify]: Simplify (log -1) into (log -1) 15.483 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.484 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 15.484 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 15.484 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 15.484 * [taylor]: Taking taylor expansion of (cbrt -1) in N 15.484 * [taylor]: Taking taylor expansion of -1 in N 15.484 * [backup-simplify]: Simplify -1 into -1 15.485 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.486 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.486 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 15.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 15.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 15.486 * [taylor]: Taking taylor expansion of 1/3 in N 15.486 * [backup-simplify]: Simplify 1/3 into 1/3 15.486 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 15.486 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 15.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.486 * [taylor]: Taking taylor expansion of 1.0 in N 15.486 * [backup-simplify]: Simplify 1.0 into 1.0 15.486 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.486 * [taylor]: Taking taylor expansion of N in N 15.486 * [backup-simplify]: Simplify 0 into 0 15.486 * [backup-simplify]: Simplify 1 into 1 15.486 * [backup-simplify]: Simplify (/ 1 1) into 1 15.487 * [taylor]: Taking taylor expansion of N in N 15.487 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify 1 into 1 15.487 * [backup-simplify]: Simplify (- 1) into -1 15.487 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.488 * [backup-simplify]: Simplify (/ -1 1) into -1 15.488 * [backup-simplify]: Simplify (log -1) into (log -1) 15.489 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.490 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 15.491 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 15.492 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.493 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.494 * [backup-simplify]: Simplify (- 0) into 0 15.494 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.497 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 15.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 15.505 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.506 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 15.510 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.511 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.513 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.514 * [backup-simplify]: Simplify (- 0) into 0 15.514 * [backup-simplify]: Simplify (+ 0 0) into 0 15.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 15.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 15.523 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.524 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 15.529 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.531 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.532 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.535 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 15.535 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2 2 1) 15.535 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 15.535 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 15.535 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 15.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 15.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 15.535 * [taylor]: Taking taylor expansion of 1/3 in N 15.535 * [backup-simplify]: Simplify 1/3 into 1/3 15.535 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 15.535 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 15.535 * [taylor]: Taking taylor expansion of N in N 15.535 * [backup-simplify]: Simplify 0 into 0 15.535 * [backup-simplify]: Simplify 1 into 1 15.535 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.535 * [taylor]: Taking taylor expansion of N in N 15.535 * [backup-simplify]: Simplify 0 into 0 15.535 * [backup-simplify]: Simplify 1 into 1 15.535 * [taylor]: Taking taylor expansion of 1.0 in N 15.535 * [backup-simplify]: Simplify 1.0 into 1.0 15.536 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.536 * [backup-simplify]: Simplify (* 0 1.0) into 0 15.536 * [backup-simplify]: Simplify (+ 1 0) into 1 15.537 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 15.537 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.538 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.538 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 15.539 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.539 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 15.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 15.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 15.539 * [taylor]: Taking taylor expansion of 1/3 in N 15.539 * [backup-simplify]: Simplify 1/3 into 1/3 15.539 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 15.539 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 15.539 * [taylor]: Taking taylor expansion of N in N 15.539 * [backup-simplify]: Simplify 0 into 0 15.539 * [backup-simplify]: Simplify 1 into 1 15.539 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.539 * [taylor]: Taking taylor expansion of N in N 15.539 * [backup-simplify]: Simplify 0 into 0 15.539 * [backup-simplify]: Simplify 1 into 1 15.539 * [taylor]: Taking taylor expansion of 1.0 in N 15.539 * [backup-simplify]: Simplify 1.0 into 1.0 15.539 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.539 * [backup-simplify]: Simplify (* 0 1.0) into 0 15.540 * [backup-simplify]: Simplify (+ 1 0) into 1 15.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 15.541 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.541 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.542 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 15.542 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.542 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.543 * [backup-simplify]: Simplify (+ 0 0) into 0 15.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 15.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 15.547 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.548 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 15.550 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 15.550 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 15.550 * [backup-simplify]: Simplify (+ 0 0) into 0 15.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 15.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 15.558 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.560 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 15.567 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 15.569 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 15.575 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 15.575 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 15.575 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 15.575 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 15.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 15.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 15.575 * [taylor]: Taking taylor expansion of 1/3 in N 15.575 * [backup-simplify]: Simplify 1/3 into 1/3 15.575 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 15.575 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 15.575 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.575 * [taylor]: Taking taylor expansion of N in N 15.575 * [backup-simplify]: Simplify 0 into 0 15.575 * [backup-simplify]: Simplify 1 into 1 15.576 * [backup-simplify]: Simplify (/ 1 1) into 1 15.576 * [taylor]: Taking taylor expansion of 1.0 in N 15.576 * [backup-simplify]: Simplify 1.0 into 1.0 15.576 * [taylor]: Taking taylor expansion of N in N 15.576 * [backup-simplify]: Simplify 0 into 0 15.576 * [backup-simplify]: Simplify 1 into 1 15.577 * [backup-simplify]: Simplify (+ 1 0) into 1 15.577 * [backup-simplify]: Simplify (/ 1 1) into 1 15.577 * [backup-simplify]: Simplify (log 1) into 0 15.578 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.578 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 15.578 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 15.578 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 15.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 15.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 15.578 * [taylor]: Taking taylor expansion of 1/3 in N 15.578 * [backup-simplify]: Simplify 1/3 into 1/3 15.578 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 15.578 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 15.578 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.578 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.578 * [taylor]: Taking taylor expansion of N in N 15.578 * [backup-simplify]: Simplify 0 into 0 15.578 * [backup-simplify]: Simplify 1 into 1 15.579 * [backup-simplify]: Simplify (/ 1 1) into 1 15.579 * [taylor]: Taking taylor expansion of 1.0 in N 15.579 * [backup-simplify]: Simplify 1.0 into 1.0 15.579 * [taylor]: Taking taylor expansion of N in N 15.579 * [backup-simplify]: Simplify 0 into 0 15.579 * [backup-simplify]: Simplify 1 into 1 15.579 * [backup-simplify]: Simplify (+ 1 0) into 1 15.580 * [backup-simplify]: Simplify (/ 1 1) into 1 15.580 * [backup-simplify]: Simplify (log 1) into 0 15.581 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.581 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 15.581 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 15.581 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 15.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.582 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.584 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 15.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 15.596 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.596 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 15.598 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 15.598 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 15.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.599 * [backup-simplify]: Simplify (+ 0 0) into 0 15.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 15.606 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 15.606 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.607 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 15.610 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 15.611 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 15.611 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 15.612 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 15.612 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 15.612 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 15.612 * [taylor]: Taking taylor expansion of (cbrt -1) in N 15.612 * [taylor]: Taking taylor expansion of -1 in N 15.612 * [backup-simplify]: Simplify -1 into -1 15.612 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.612 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.612 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 15.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 15.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 15.613 * [taylor]: Taking taylor expansion of 1/3 in N 15.613 * [backup-simplify]: Simplify 1/3 into 1/3 15.613 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 15.613 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 15.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.613 * [taylor]: Taking taylor expansion of 1.0 in N 15.613 * [backup-simplify]: Simplify 1.0 into 1.0 15.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.613 * [taylor]: Taking taylor expansion of N in N 15.613 * [backup-simplify]: Simplify 0 into 0 15.613 * [backup-simplify]: Simplify 1 into 1 15.613 * [backup-simplify]: Simplify (/ 1 1) into 1 15.613 * [taylor]: Taking taylor expansion of N in N 15.613 * [backup-simplify]: Simplify 0 into 0 15.613 * [backup-simplify]: Simplify 1 into 1 15.613 * [backup-simplify]: Simplify (- 1) into -1 15.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.614 * [backup-simplify]: Simplify (/ -1 1) into -1 15.614 * [backup-simplify]: Simplify (log -1) into (log -1) 15.615 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.615 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 15.615 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 15.615 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 15.615 * [taylor]: Taking taylor expansion of (cbrt -1) in N 15.615 * [taylor]: Taking taylor expansion of -1 in N 15.615 * [backup-simplify]: Simplify -1 into -1 15.616 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.616 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.616 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 15.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 15.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 15.616 * [taylor]: Taking taylor expansion of 1/3 in N 15.616 * [backup-simplify]: Simplify 1/3 into 1/3 15.616 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 15.616 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 15.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.616 * [taylor]: Taking taylor expansion of 1.0 in N 15.616 * [backup-simplify]: Simplify 1.0 into 1.0 15.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.616 * [taylor]: Taking taylor expansion of N in N 15.616 * [backup-simplify]: Simplify 0 into 0 15.616 * [backup-simplify]: Simplify 1 into 1 15.617 * [backup-simplify]: Simplify (/ 1 1) into 1 15.617 * [taylor]: Taking taylor expansion of N in N 15.617 * [backup-simplify]: Simplify 0 into 0 15.617 * [backup-simplify]: Simplify 1 into 1 15.617 * [backup-simplify]: Simplify (- 1) into -1 15.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.617 * [backup-simplify]: Simplify (/ -1 1) into -1 15.618 * [backup-simplify]: Simplify (log -1) into (log -1) 15.618 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.619 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 15.619 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 15.620 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.620 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.621 * [backup-simplify]: Simplify (- 0) into 0 15.621 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.623 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 15.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 15.628 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.628 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 15.630 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.632 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.632 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.633 * [backup-simplify]: Simplify (- 0) into 0 15.633 * [backup-simplify]: Simplify (+ 0 0) into 0 15.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 15.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 15.642 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.642 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 15.647 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.649 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.650 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.653 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 15.653 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2 1 1) 15.653 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 15.653 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 15.653 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 15.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 15.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 15.653 * [taylor]: Taking taylor expansion of 1/3 in N 15.653 * [backup-simplify]: Simplify 1/3 into 1/3 15.653 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 15.653 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 15.653 * [taylor]: Taking taylor expansion of N in N 15.653 * [backup-simplify]: Simplify 0 into 0 15.653 * [backup-simplify]: Simplify 1 into 1 15.653 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.653 * [taylor]: Taking taylor expansion of N in N 15.653 * [backup-simplify]: Simplify 0 into 0 15.653 * [backup-simplify]: Simplify 1 into 1 15.653 * [taylor]: Taking taylor expansion of 1.0 in N 15.653 * [backup-simplify]: Simplify 1.0 into 1.0 15.654 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.654 * [backup-simplify]: Simplify (* 0 1.0) into 0 15.654 * [backup-simplify]: Simplify (+ 1 0) into 1 15.655 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 15.655 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.656 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.656 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 15.657 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.657 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 15.657 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 15.657 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 15.657 * [taylor]: Taking taylor expansion of 1/3 in N 15.657 * [backup-simplify]: Simplify 1/3 into 1/3 15.657 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 15.657 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 15.657 * [taylor]: Taking taylor expansion of N in N 15.657 * [backup-simplify]: Simplify 0 into 0 15.657 * [backup-simplify]: Simplify 1 into 1 15.657 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 15.657 * [taylor]: Taking taylor expansion of N in N 15.657 * [backup-simplify]: Simplify 0 into 0 15.657 * [backup-simplify]: Simplify 1 into 1 15.657 * [taylor]: Taking taylor expansion of 1.0 in N 15.657 * [backup-simplify]: Simplify 1.0 into 1.0 15.657 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.657 * [backup-simplify]: Simplify (* 0 1.0) into 0 15.658 * [backup-simplify]: Simplify (+ 1 0) into 1 15.659 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 15.659 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.659 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.660 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 15.660 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.660 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 15.661 * [backup-simplify]: Simplify (+ 0 0) into 0 15.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 15.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 15.665 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.666 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 15.668 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 15.668 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 15.668 * [backup-simplify]: Simplify (+ 0 0) into 0 15.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 15.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 15.676 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 15.678 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 15.689 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 15.692 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 15.696 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 15.696 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 15.696 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 15.696 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 15.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 15.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 15.696 * [taylor]: Taking taylor expansion of 1/3 in N 15.696 * [backup-simplify]: Simplify 1/3 into 1/3 15.696 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 15.696 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 15.696 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.696 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.696 * [taylor]: Taking taylor expansion of N in N 15.696 * [backup-simplify]: Simplify 0 into 0 15.696 * [backup-simplify]: Simplify 1 into 1 15.697 * [backup-simplify]: Simplify (/ 1 1) into 1 15.697 * [taylor]: Taking taylor expansion of 1.0 in N 15.697 * [backup-simplify]: Simplify 1.0 into 1.0 15.697 * [taylor]: Taking taylor expansion of N in N 15.697 * [backup-simplify]: Simplify 0 into 0 15.697 * [backup-simplify]: Simplify 1 into 1 15.697 * [backup-simplify]: Simplify (+ 1 0) into 1 15.697 * [backup-simplify]: Simplify (/ 1 1) into 1 15.698 * [backup-simplify]: Simplify (log 1) into 0 15.698 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.698 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 15.698 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 15.698 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 15.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 15.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 15.698 * [taylor]: Taking taylor expansion of 1/3 in N 15.698 * [backup-simplify]: Simplify 1/3 into 1/3 15.698 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 15.698 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 15.698 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 15.698 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.698 * [taylor]: Taking taylor expansion of N in N 15.698 * [backup-simplify]: Simplify 0 into 0 15.698 * [backup-simplify]: Simplify 1 into 1 15.699 * [backup-simplify]: Simplify (/ 1 1) into 1 15.699 * [taylor]: Taking taylor expansion of 1.0 in N 15.699 * [backup-simplify]: Simplify 1.0 into 1.0 15.699 * [taylor]: Taking taylor expansion of N in N 15.699 * [backup-simplify]: Simplify 0 into 0 15.699 * [backup-simplify]: Simplify 1 into 1 15.699 * [backup-simplify]: Simplify (+ 1 0) into 1 15.699 * [backup-simplify]: Simplify (/ 1 1) into 1 15.699 * [backup-simplify]: Simplify (log 1) into 0 15.700 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.700 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 15.700 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 15.700 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 15.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.701 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.702 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 15.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 15.708 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.708 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 15.711 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 15.711 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 15.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.712 * [backup-simplify]: Simplify (+ 0 0) into 0 15.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 15.722 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 15.723 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 15.724 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 15.730 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 15.730 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 15.731 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 15.731 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) 15.731 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 15.731 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 15.731 * [taylor]: Taking taylor expansion of (cbrt -1) in N 15.731 * [taylor]: Taking taylor expansion of -1 in N 15.731 * [backup-simplify]: Simplify -1 into -1 15.732 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.733 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.733 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 15.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 15.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 15.733 * [taylor]: Taking taylor expansion of 1/3 in N 15.733 * [backup-simplify]: Simplify 1/3 into 1/3 15.733 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 15.733 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 15.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.733 * [taylor]: Taking taylor expansion of 1.0 in N 15.733 * [backup-simplify]: Simplify 1.0 into 1.0 15.733 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.733 * [taylor]: Taking taylor expansion of N in N 15.733 * [backup-simplify]: Simplify 0 into 0 15.733 * [backup-simplify]: Simplify 1 into 1 15.733 * [backup-simplify]: Simplify (/ 1 1) into 1 15.733 * [taylor]: Taking taylor expansion of N in N 15.734 * [backup-simplify]: Simplify 0 into 0 15.734 * [backup-simplify]: Simplify 1 into 1 15.734 * [backup-simplify]: Simplify (- 1) into -1 15.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.735 * [backup-simplify]: Simplify (/ -1 1) into -1 15.735 * [backup-simplify]: Simplify (log -1) into (log -1) 15.736 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.736 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 15.737 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 15.737 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 15.737 * [taylor]: Taking taylor expansion of (cbrt -1) in N 15.737 * [taylor]: Taking taylor expansion of -1 in N 15.737 * [backup-simplify]: Simplify -1 into -1 15.737 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 15.738 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 15.738 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 15.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 15.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 15.738 * [taylor]: Taking taylor expansion of 1/3 in N 15.738 * [backup-simplify]: Simplify 1/3 into 1/3 15.738 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 15.738 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 15.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 15.738 * [taylor]: Taking taylor expansion of 1.0 in N 15.738 * [backup-simplify]: Simplify 1.0 into 1.0 15.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.738 * [taylor]: Taking taylor expansion of N in N 15.738 * [backup-simplify]: Simplify 0 into 0 15.738 * [backup-simplify]: Simplify 1 into 1 15.739 * [backup-simplify]: Simplify (/ 1 1) into 1 15.739 * [taylor]: Taking taylor expansion of N in N 15.739 * [backup-simplify]: Simplify 0 into 0 15.739 * [backup-simplify]: Simplify 1 into 1 15.739 * [backup-simplify]: Simplify (- 1) into -1 15.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.740 * [backup-simplify]: Simplify (/ -1 1) into -1 15.740 * [backup-simplify]: Simplify (log -1) into (log -1) 15.741 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.742 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 15.742 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 15.743 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.744 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.745 * [backup-simplify]: Simplify (- 0) into 0 15.746 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.748 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 15.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 15.755 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.756 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 15.760 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.762 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.763 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.765 * [backup-simplify]: Simplify (- 0) into 0 15.765 * [backup-simplify]: Simplify (+ 0 0) into 0 15.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 15.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 15.779 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 15.781 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 15.789 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 15.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 15.793 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (+ (* 0 (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N))))))) (* 0 (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.794 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 15.798 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 15.798 * * * [progress]: simplifying candidates 15.800 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 15.803 * * [simplify]: Extracting # 0 : cost 0 15.803 * * [simplify]: Extracting # 1 : cost 0 15.803 * * [simplify]: Extracting # 2 : cost 0 15.803 * * [simplify]: Extracting # 3 : cost 0 15.804 * * [simplify]: Extracting # 4 : cost 0 15.804 * * [simplify]: Extracting # 5 : cost 0 15.804 * * [simplify]: Extracting # 6 : cost 0 15.804 * * [simplify]: Extracting # 7 : cost 0 15.804 * * [simplify]: Extracting # 8 : cost 0 15.804 * * [simplify]: Extracting # 9 : cost 0 15.804 * * [simplify]: Extracting # 10 : cost 0 15.805 * * [simplify]: Extracting # 11 : cost 0 15.805 * * [simplify]: Extracting # 12 : cost 0 15.805 * * [simplify]: iteration 0 : 82 enodes (cost 988 ) 15.843 * * [simplify]: Extracting # 0 : cost 0 15.844 * * [simplify]: Extracting # 1 : cost 0 15.845 * * [simplify]: Extracting # 2 : cost 0 15.846 * * [simplify]: Extracting # 3 : cost 0 15.846 * * [simplify]: Extracting # 4 : cost 0 15.847 * * [simplify]: Extracting # 5 : cost 0 15.847 * * [simplify]: iteration 1 : 392 enodes (cost 972 ) 16.385 * * [simplify]: Extracting # 0 : cost 0 16.392 * * [simplify]: Extracting # 1 : cost 0 16.400 * * [simplify]: Extracting # 2 : cost 0 16.407 * * [simplify]: Extracting # 3 : cost 0 16.415 * * [simplify]: Extracting # 4 : cost 0 16.427 * * [simplify]: Extracting # 5 : cost 0 16.440 * * [simplify]: Extracting # 6 : cost 0 16.448 * * [simplify]: iteration done: 5000 enodes (cost 840 ) 16.448 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (+ (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (pow (/ 1 N) -2/3)) (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (+ (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (pow (/ 1 N) -2/3)) (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (+ (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (pow (/ 1 N) -2/3)) (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (+ (- (* 0.3333333333333333 (cbrt (/ 1 N))) (* 0.1111111111111111 (cbrt (/ 1 (pow N 4))))) (pow (/ 1 N) -2/3)) (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) 16.449 * * * [progress]: adding candidates to table 16.743 * [progress]: [Phase 3 of 3] Extracting. 16.743 * * [regime]: Finding splitpoints for: (# # # # # # #) 16.745 * * * [regime-changes]: Trying 1 branch expressions: (N) 16.745 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 16.775 * * * [regime]: Found split indices: #