38.873 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.048 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.048 * * [simplify]: iteration 1: (6 enodes) 0.049 * * [simplify]: iteration 2: (9 enodes) 0.052 * * [simplify]: iteration 3: (10 enodes) 0.054 * * [simplify]: Extracting #0: cost 1 inf + 0 0.054 * * [simplify]: Extracting #1: cost 4 inf + 0 0.054 * * [simplify]: Extracting #2: cost 6 inf + 0 0.054 * * [simplify]: Extracting #3: cost 6 inf + 1 0.055 * * [simplify]: Extracting #4: cost 0 inf + 735 0.055 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.074 * * * * [pick]: Picked # 0.074 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.095 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.096 * * * [progress]: generating series expansions 0.096 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.096 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.096 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.096 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.097 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.097 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.097 * [taylor]: Taking taylor expansion of (atan N) in N 0.097 * [backup-simplify]: Simplify (atan N) into (atan N) 0.097 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.097 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.097 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.097 * [taylor]: Taking taylor expansion of (atan N) in N 0.097 * [backup-simplify]: Simplify (atan N) into (atan N) 0.098 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.098 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.098 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.102 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.102 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.102 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.102 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.102 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.102 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.102 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.102 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.102 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.102 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.102 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.102 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.102 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 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 0.103 * [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 0.105 * [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 (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.106 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.106 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.106 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.106 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 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 (/ 1 N))) (atan (/ -1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.106 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 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 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.107 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (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 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 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 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.110 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.110 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.110 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.110 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.110 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.110 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.110 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.110 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.110 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.111 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.111 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.111 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.111 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.111 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.111 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.112 * * * [progress]: simplifying candidates 0.112 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.112 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.112 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.112 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.113 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.113 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.113 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.113 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.113 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.113 * [simplify]: Simplifying: (- (+ N 1) N) (+ 1 (* (+ N 1) N)) (/ (exp (atan (+ N 1))) (exp (atan N))) (log (- (atan (+ N 1)) (atan N))) (exp (- (atan (+ N 1)) (atan N))) (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N))) (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N)) (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (log (atan (+ N 1))) (exp (atan (+ N 1))) (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (real->posit16 (atan (+ N 1))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (atan (+ N 1)) (atan (+ N 1)) 0.114 * * [simplify]: iteration 1: (41 enodes) 0.129 * * [simplify]: iteration 2: (75 enodes) 0.157 * * [simplify]: iteration 3: (149 enodes) 0.200 * * [simplify]: iteration 4: (287 enodes) 0.317 * * [simplify]: iteration 5: (618 enodes) 0.651 * * [simplify]: iteration 6: (1652 enodes) 2.054 * * [simplify]: Extracting #0: cost 25 inf + 0 2.055 * * [simplify]: Extracting #1: cost 235 inf + 1 2.061 * * [simplify]: Extracting #2: cost 973 inf + 3955 2.084 * * [simplify]: Extracting #3: cost 826 inf + 118648 2.162 * * [simplify]: Extracting #4: cost 292 inf + 419159 2.296 * * [simplify]: Extracting #5: cost 9 inf + 649574 2.415 * * [simplify]: Extracting #6: cost 0 inf + 655834 2.534 * * [simplify]: Extracting #7: cost 0 inf + 655472 2.682 * [simplify]: Simplified to: 1 (+ 1 (* N (+ 1 N))) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (atan N) (* (atan N) (atan N)))) (+ (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N)))) (* (atan N) (atan N))) (- (atan N)) (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) (+ (atan N) (atan (+ 1 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (log (atan (+ 1 N))) (exp (atan (+ 1 N))) (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (real->posit16 (atan (+ 1 N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan (+ 1 N)) (atan (+ 1 N)) 2.684 * * * [progress]: adding candidates to table 2.797 * * [progress]: iteration 2 / 4 2.798 * * * [progress]: picking best candidate 2.801 * * * * [pick]: Picked # 2.801 * * * [progress]: localizing error 2.825 * * * [progress]: generating rewritten candidates 2.825 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.825 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.856 * * * [progress]: generating series expansions 2.856 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.856 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.856 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.856 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.856 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.856 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.857 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.857 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.857 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.857 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.857 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.858 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.858 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.858 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.858 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.859 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.859 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.859 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.859 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.859 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.859 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.859 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.860 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.860 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 2.860 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 2.860 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.860 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.860 * [taylor]: Taking taylor expansion of N in N 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of 1 in N 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of N in N 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.860 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.860 * [taylor]: Taking taylor expansion of N in N 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of 1 in N 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of N in N 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (+ 0 1) into 1 2.862 * [backup-simplify]: Simplify (* 1 0) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (+ 1 0) into 1 2.863 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 2.864 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (+ 0 0) into 0 2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (+ 0 0) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify (+ 0 0) into 0 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ 0 0) into 0 2.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 2.881 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 2.881 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 2.881 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.881 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.881 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.881 * [taylor]: Taking taylor expansion of N in N 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (/ 1 1) into 1 2.882 * [taylor]: Taking taylor expansion of 1 in N 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [taylor]: Taking taylor expansion of N in N 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (+ 1 0) into 1 2.883 * [backup-simplify]: Simplify (/ 1 1) into 1 2.883 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.883 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.883 * [taylor]: Taking taylor expansion of N in N 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (/ 1 1) into 1 2.883 * [taylor]: Taking taylor expansion of 1 in N 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [taylor]: Taking taylor expansion of N in N 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.884 * [backup-simplify]: Simplify (+ 1 0) into 1 2.884 * [backup-simplify]: Simplify (/ 1 1) into 1 2.884 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ 0 1) into 1 2.886 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.886 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (+ 0 0) into 0 2.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.894 * [backup-simplify]: Simplify (+ 0 0) into 0 2.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (+ 0 0) into 0 2.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 2.899 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 2.899 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 2.899 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.899 * [taylor]: Taking taylor expansion of -1 in N 2.899 * [backup-simplify]: Simplify -1 into -1 2.899 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.899 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.899 * [taylor]: Taking taylor expansion of 1 in N 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.899 * [taylor]: Taking taylor expansion of N in N 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (/ 1 1) into 1 2.899 * [taylor]: Taking taylor expansion of N in N 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (- 1) into -1 2.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.900 * [backup-simplify]: Simplify (/ -1 1) into -1 2.900 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.900 * [taylor]: Taking taylor expansion of -1 in N 2.900 * [backup-simplify]: Simplify -1 into -1 2.900 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.900 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.900 * [taylor]: Taking taylor expansion of 1 in N 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.900 * [taylor]: Taking taylor expansion of N in N 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [taylor]: Taking taylor expansion of N in N 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (- 1) into -1 2.901 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.901 * [backup-simplify]: Simplify (/ -1 1) into -1 2.902 * [backup-simplify]: Simplify (* -1 -1) into 1 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (- 0) into 0 2.903 * [backup-simplify]: Simplify (+ 1 0) into 1 2.903 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 2.904 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.904 * [backup-simplify]: Simplify -1 into -1 2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.905 * [backup-simplify]: Simplify (- 0) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (- 0) into 0 2.907 * [backup-simplify]: Simplify (+ 0 0) into 0 2.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (- 0) into 0 2.909 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (- 0) into 0 2.912 * [backup-simplify]: Simplify (+ 0 0) into 0 2.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.914 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- 0) into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (- 0) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 2.920 * * * [progress]: simplifying candidates 2.920 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.920 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 2.920 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 2.921 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 2.921 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 2.921 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) (* (+ N 1) N) (+ (log (+ N 1)) (log N)) (log (* (+ N 1) N)) (exp (* (+ N 1) N)) (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)) (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)) (* (+ N 1) (* (cbrt N) (cbrt N))) (* (+ N 1) (sqrt N)) (* (+ N 1) 1) (* (cbrt (+ N 1)) N) (* (sqrt (+ N 1)) N) (* (+ N 1) N) (* (+ N 1) N) (* (+ (pow N 3) (pow 1 3)) N) (* (- (* N N) (* 1 1)) N) (real->posit16 (* (+ N 1) N)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 2.922 * * [simplify]: iteration 1: (55 enodes) 2.945 * * [simplify]: iteration 2: (119 enodes) 3.002 * * [simplify]: iteration 3: (305 enodes) 3.197 * * [simplify]: iteration 4: (832 enodes) 4.790 * * [simplify]: Extracting #0: cost 24 inf + 0 4.790 * * [simplify]: Extracting #1: cost 172 inf + 0 4.792 * * [simplify]: Extracting #2: cost 482 inf + 3683 4.803 * * [simplify]: Extracting #3: cost 275 inf + 32759 4.820 * * [simplify]: Extracting #4: cost 24 inf + 96217 4.854 * * [simplify]: Extracting #5: cost 0 inf + 102893 4.893 * * [simplify]: Extracting #6: cost 0 inf + 102813 4.923 * [simplify]: Simplified to: (log (atan2 1 (+ (+ N 1) (* N N)))) (exp (atan2 1 (+ (+ N 1) (* N N)))) (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (* (atan2 1 (+ (+ N 1) (* N N))) (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (real->posit16 (atan2 1 (+ (+ N 1) (* N N)))) (+ N (* N N)) (log (+ N (* N N))) (log (+ N (* N N))) (exp (+ (* N N) N)) (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N)))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (cbrt (+ N (* N N))) (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N)))) (sqrt (+ N (* N N))) (sqrt (+ N (* N N))) (* (sqrt N) (sqrt (+ N 1))) (* (sqrt N) (sqrt (+ N 1))) (+ (* (cbrt N) (cbrt N)) (* N (* (cbrt N) (cbrt N)))) (+ (* (sqrt N) N) (sqrt N)) (+ N 1) (* (cbrt (+ N 1)) N) (* N (sqrt (+ N 1))) (+ N (* N N)) (+ N (* N N)) (+ N (* (* N N) (* N N))) (- (* (* N N) N) N) (real->posit16 (+ N (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 4.924 * * * [progress]: adding candidates to table 5.075 * * [progress]: iteration 3 / 4 5.075 * * * [progress]: picking best candidate 5.084 * * * * [pick]: Picked # 5.084 * * * [progress]: localizing error 5.108 * * * [progress]: generating rewritten candidates 5.108 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 5.109 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 5.110 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 5.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 5.120 * * * [progress]: generating series expansions 5.120 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 5.120 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.120 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.120 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.120 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.120 * [taylor]: Taking taylor expansion of 1/3 in N 5.120 * [backup-simplify]: Simplify 1/3 into 1/3 5.120 * [taylor]: Taking taylor expansion of (log N) in N 5.120 * [taylor]: Taking taylor expansion of N in N 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (log 1) into 0 5.121 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.121 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.121 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.121 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.121 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.121 * [taylor]: Taking taylor expansion of 1/3 in N 5.121 * [backup-simplify]: Simplify 1/3 into 1/3 5.121 * [taylor]: Taking taylor expansion of (log N) in N 5.121 * [taylor]: Taking taylor expansion of N in N 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.122 * [backup-simplify]: Simplify (log 1) into 0 5.122 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.122 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.122 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.122 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.123 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.124 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.124 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.124 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.126 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.128 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.128 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.132 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.132 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.134 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.134 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.140 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.141 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.143 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.143 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.153 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.154 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.156 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.156 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.178 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.180 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.183 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.183 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.183 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.183 * [taylor]: Taking taylor expansion of 1/3 in N 5.183 * [backup-simplify]: Simplify 1/3 into 1/3 5.183 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.183 * [taylor]: Taking taylor expansion of N in N 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify (/ 1 1) into 1 5.184 * [backup-simplify]: Simplify (log 1) into 0 5.184 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.184 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.184 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.184 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.184 * [taylor]: Taking taylor expansion of 1/3 in N 5.184 * [backup-simplify]: Simplify 1/3 into 1/3 5.184 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.184 * [taylor]: Taking taylor expansion of N in N 5.184 * [backup-simplify]: Simplify 0 into 0 5.184 * [backup-simplify]: Simplify 1 into 1 5.185 * [backup-simplify]: Simplify (/ 1 1) into 1 5.185 * [backup-simplify]: Simplify (log 1) into 0 5.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.185 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.185 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.186 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.187 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.188 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.192 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.192 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.197 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.198 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.208 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.212 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.222 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.223 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.226 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.250 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.260 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.260 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.260 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 5.260 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.260 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.261 * [taylor]: Taking taylor expansion of 1/3 in N 5.261 * [backup-simplify]: Simplify 1/3 into 1/3 5.261 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.261 * [taylor]: Taking taylor expansion of N in N 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (/ 1 1) into 1 5.262 * [backup-simplify]: Simplify (log 1) into 0 5.262 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.262 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.263 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.263 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.263 * [taylor]: Taking taylor expansion of -1 in N 5.263 * [backup-simplify]: Simplify -1 into -1 5.263 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.264 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.264 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.264 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.265 * [taylor]: Taking taylor expansion of 1/3 in N 5.265 * [backup-simplify]: Simplify 1/3 into 1/3 5.265 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.265 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.265 * [taylor]: Taking taylor expansion of N in N 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (/ 1 1) into 1 5.266 * [backup-simplify]: Simplify (log 1) into 0 5.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.266 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.266 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.266 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.266 * [taylor]: Taking taylor expansion of -1 in N 5.266 * [backup-simplify]: Simplify -1 into -1 5.267 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.268 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.268 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.269 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.272 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.272 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.273 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.273 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 5.273 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.279 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.279 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.279 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.286 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.286 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.287 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.288 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.289 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.289 * [backup-simplify]: Simplify 0 into 0 5.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.296 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.297 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.298 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.299 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.300 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.300 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.311 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.312 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.313 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.315 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.316 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.316 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.341 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.349 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.351 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.351 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 5.352 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 5.352 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.352 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.352 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.352 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.352 * [taylor]: Taking taylor expansion of 1/3 in N 5.352 * [backup-simplify]: Simplify 1/3 into 1/3 5.353 * [taylor]: Taking taylor expansion of (log N) in N 5.353 * [taylor]: Taking taylor expansion of N in N 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 1 into 1 5.353 * [backup-simplify]: Simplify (log 1) into 0 5.354 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.354 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.354 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.354 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.354 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.354 * [taylor]: Taking taylor expansion of 1/3 in N 5.354 * [backup-simplify]: Simplify 1/3 into 1/3 5.354 * [taylor]: Taking taylor expansion of (log N) in N 5.354 * [taylor]: Taking taylor expansion of N in N 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify 1 into 1 5.354 * [backup-simplify]: Simplify (log 1) into 0 5.355 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.355 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.355 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.355 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.357 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.359 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.363 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.364 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.366 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.366 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.372 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.373 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.375 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.375 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.387 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.392 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.414 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.416 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.420 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.420 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.438 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.439 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.443 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.443 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.443 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.443 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.443 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.443 * [taylor]: Taking taylor expansion of 1/3 in N 5.443 * [backup-simplify]: Simplify 1/3 into 1/3 5.443 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.443 * [taylor]: Taking taylor expansion of N in N 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify 1 into 1 5.444 * [backup-simplify]: Simplify (/ 1 1) into 1 5.444 * [backup-simplify]: Simplify (log 1) into 0 5.444 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.444 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.444 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.444 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.445 * [taylor]: Taking taylor expansion of 1/3 in N 5.445 * [backup-simplify]: Simplify 1/3 into 1/3 5.445 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.445 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.445 * [taylor]: Taking taylor expansion of N in N 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 1 into 1 5.445 * [backup-simplify]: Simplify (/ 1 1) into 1 5.445 * [backup-simplify]: Simplify (log 1) into 0 5.445 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.445 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.446 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.446 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.447 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.448 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.448 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.450 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.450 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.451 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.452 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.456 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.458 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.464 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.465 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.467 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.467 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.477 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.478 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.481 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.481 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.513 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.513 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.522 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.522 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.522 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 5.522 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.522 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.522 * [taylor]: Taking taylor expansion of 1/3 in N 5.522 * [backup-simplify]: Simplify 1/3 into 1/3 5.522 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.522 * [taylor]: Taking taylor expansion of N in N 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify 1 into 1 5.523 * [backup-simplify]: Simplify (/ 1 1) into 1 5.523 * [backup-simplify]: Simplify (log 1) into 0 5.524 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.524 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.524 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.524 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.524 * [taylor]: Taking taylor expansion of -1 in N 5.524 * [backup-simplify]: Simplify -1 into -1 5.525 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.525 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.525 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.525 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.526 * [taylor]: Taking taylor expansion of 1/3 in N 5.526 * [backup-simplify]: Simplify 1/3 into 1/3 5.526 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.526 * [taylor]: Taking taylor expansion of N in N 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (/ 1 1) into 1 5.526 * [backup-simplify]: Simplify (log 1) into 0 5.527 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.527 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.527 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.527 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.527 * [taylor]: Taking taylor expansion of -1 in N 5.527 * [backup-simplify]: Simplify -1 into -1 5.527 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.528 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.529 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.529 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.532 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.532 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.533 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.533 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 5.534 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.538 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.539 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.540 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.544 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.544 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.546 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.547 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.547 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.554 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.555 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.556 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.557 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.558 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.558 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.572 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.572 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.574 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.578 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.580 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.605 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.607 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.610 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.611 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 5.611 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 5.611 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.611 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.611 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.611 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.612 * [taylor]: Taking taylor expansion of 1/3 in N 5.612 * [backup-simplify]: Simplify 1/3 into 1/3 5.612 * [taylor]: Taking taylor expansion of (log N) in N 5.612 * [taylor]: Taking taylor expansion of N in N 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (log 1) into 0 5.617 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.617 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.617 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.617 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.617 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.617 * [taylor]: Taking taylor expansion of 1/3 in N 5.617 * [backup-simplify]: Simplify 1/3 into 1/3 5.617 * [taylor]: Taking taylor expansion of (log N) in N 5.617 * [taylor]: Taking taylor expansion of N in N 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (log 1) into 0 5.618 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.618 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.618 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.618 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.620 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.620 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.620 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.622 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.623 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.624 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.624 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.627 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.628 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.629 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.635 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.636 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.637 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.637 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.647 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.649 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.651 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.651 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.668 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.669 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.673 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.673 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.673 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.673 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.673 * [taylor]: Taking taylor expansion of 1/3 in N 5.673 * [backup-simplify]: Simplify 1/3 into 1/3 5.673 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.673 * [taylor]: Taking taylor expansion of N in N 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 1 into 1 5.673 * [backup-simplify]: Simplify (/ 1 1) into 1 5.674 * [backup-simplify]: Simplify (log 1) into 0 5.674 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.674 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.674 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.674 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.674 * [taylor]: Taking taylor expansion of 1/3 in N 5.674 * [backup-simplify]: Simplify 1/3 into 1/3 5.674 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.674 * [taylor]: Taking taylor expansion of N in N 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 1 into 1 5.675 * [backup-simplify]: Simplify (/ 1 1) into 1 5.675 * [backup-simplify]: Simplify (log 1) into 0 5.675 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.675 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.675 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.675 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.677 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.678 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.681 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.682 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.685 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.686 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.686 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.687 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.694 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.697 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.712 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.713 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.714 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.716 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.716 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.734 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.734 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.736 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.740 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.740 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.740 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 5.740 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.740 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.740 * [taylor]: Taking taylor expansion of 1/3 in N 5.740 * [backup-simplify]: Simplify 1/3 into 1/3 5.740 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.740 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.740 * [taylor]: Taking taylor expansion of N in N 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 1 into 1 5.741 * [backup-simplify]: Simplify (/ 1 1) into 1 5.741 * [backup-simplify]: Simplify (log 1) into 0 5.741 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.741 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.741 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.741 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.741 * [taylor]: Taking taylor expansion of -1 in N 5.741 * [backup-simplify]: Simplify -1 into -1 5.742 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.742 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.742 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.742 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.742 * [taylor]: Taking taylor expansion of 1/3 in N 5.742 * [backup-simplify]: Simplify 1/3 into 1/3 5.742 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.743 * [taylor]: Taking taylor expansion of N in N 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [backup-simplify]: Simplify (/ 1 1) into 1 5.743 * [backup-simplify]: Simplify (log 1) into 0 5.743 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.744 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.744 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.744 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.744 * [taylor]: Taking taylor expansion of -1 in N 5.744 * [backup-simplify]: Simplify -1 into -1 5.744 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.744 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.745 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.745 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.747 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.747 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.748 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.748 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.751 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.752 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.752 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.753 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.754 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.754 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.758 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.758 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.759 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.760 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.761 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.761 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.769 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.770 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.772 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.775 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.777 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.777 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.798 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.799 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.803 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.805 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.848 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.849 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.858 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.859 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.859 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 5.860 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 5.860 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3) 5.861 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 5.861 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 5.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 5.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 5.861 * [taylor]: Taking taylor expansion of 1/3 in N 5.861 * [backup-simplify]: Simplify 1/3 into 1/3 5.861 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 5.861 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.861 * [taylor]: Taking taylor expansion of N in N 5.861 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify 1 into 1 5.861 * [backup-simplify]: Simplify (* 1 1) into 1 5.862 * [backup-simplify]: Simplify (log 1) into 0 5.862 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.862 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 5.862 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 5.862 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 5.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 5.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 5.862 * [taylor]: Taking taylor expansion of 1/3 in N 5.862 * [backup-simplify]: Simplify 1/3 into 1/3 5.862 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 5.862 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.862 * [taylor]: Taking taylor expansion of N in N 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.863 * [backup-simplify]: Simplify (* 1 1) into 1 5.863 * [backup-simplify]: Simplify (log 1) into 0 5.864 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.864 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 5.864 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 5.864 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 5.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.867 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.867 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 5.868 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.868 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.872 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.872 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.873 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 5.875 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.875 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.881 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.882 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.883 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 5.885 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.898 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.898 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.900 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 5.903 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.903 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.925 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.926 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 5.931 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.971 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.972 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.973 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 5.977 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 5.977 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 5.977 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 5.977 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.977 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.977 * [taylor]: Taking taylor expansion of 1/3 in N 5.977 * [backup-simplify]: Simplify 1/3 into 1/3 5.977 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.977 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.977 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.977 * [taylor]: Taking taylor expansion of N in N 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.978 * [backup-simplify]: Simplify (* 1 1) into 1 5.978 * [backup-simplify]: Simplify (/ 1 1) into 1 5.978 * [backup-simplify]: Simplify (log 1) into 0 5.979 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.979 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.979 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.979 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.979 * [taylor]: Taking taylor expansion of 1/3 in N 5.979 * [backup-simplify]: Simplify 1/3 into 1/3 5.979 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.979 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.979 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.979 * [taylor]: Taking taylor expansion of N in N 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (* 1 1) into 1 5.979 * [backup-simplify]: Simplify (/ 1 1) into 1 5.980 * [backup-simplify]: Simplify (log 1) into 0 5.980 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.980 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.980 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.980 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.982 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.982 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.983 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 5.983 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.986 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.986 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 5.987 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.987 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.991 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.992 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.993 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 5.994 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.001 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.001 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 6.004 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.004 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.022 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.022 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.024 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 6.026 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.045 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.045 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.047 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 6.051 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 6.052 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 6.052 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 6.052 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 6.052 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.052 * [taylor]: Taking taylor expansion of 1/3 in N 6.052 * [backup-simplify]: Simplify 1/3 into 1/3 6.052 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.052 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.052 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.052 * [taylor]: Taking taylor expansion of N in N 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 1 into 1 6.053 * [backup-simplify]: Simplify (* 1 1) into 1 6.053 * [backup-simplify]: Simplify (/ 1 1) into 1 6.054 * [backup-simplify]: Simplify (log 1) into 0 6.054 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.054 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.054 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.054 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 6.054 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.054 * [taylor]: Taking taylor expansion of -1 in N 6.054 * [backup-simplify]: Simplify -1 into -1 6.055 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.055 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.056 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 6.056 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.056 * [taylor]: Taking taylor expansion of 1/3 in N 6.056 * [backup-simplify]: Simplify 1/3 into 1/3 6.056 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.056 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.056 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.056 * [taylor]: Taking taylor expansion of N in N 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [backup-simplify]: Simplify (* 1 1) into 1 6.057 * [backup-simplify]: Simplify (/ 1 1) into 1 6.057 * [backup-simplify]: Simplify (log 1) into 0 6.057 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.057 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.057 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.058 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 6.058 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.058 * [taylor]: Taking taylor expansion of -1 in N 6.058 * [backup-simplify]: Simplify -1 into -1 6.058 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.059 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.060 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 6.061 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 6.063 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 6.063 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 6.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.067 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.067 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 6.068 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.069 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (* 0 (pow (cbrt -1) 2))) into 0 6.069 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.072 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.083 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.084 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 6.085 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.085 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 6.085 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.087 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.091 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 6.093 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.094 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 6.094 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.096 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 6.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.104 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.105 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 6.106 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.107 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0 6.107 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.109 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 6.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.124 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.125 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 6.131 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.133 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.137 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.172 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.173 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.175 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 6.179 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.180 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))))) into 0 6.180 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 6.181 * * * [progress]: simplifying candidates 6.181 * * * * [progress]: [ 1 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 2 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 3 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 4 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 5 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 6 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 7 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 8 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 9 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 10 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 11 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 12 / 89 ] simplifiying candidate #real (real->posit16 (cbrt N)))))))> 6.181 * * * * [progress]: [ 13 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 14 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 15 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 16 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 17 / 89 ] simplifiying candidate # 6.181 * * * * [progress]: [ 18 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 19 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 20 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 21 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 22 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 23 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 24 / 89 ] simplifiying candidate #real (real->posit16 (cbrt N))))) (cbrt N)))))> 6.182 * * * * [progress]: [ 25 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 26 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 27 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 28 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 29 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 30 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 31 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 32 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 33 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 34 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 35 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 36 / 89 ] simplifiying candidate #real (real->posit16 (cbrt N))) (cbrt N))) (cbrt N)))))> 6.182 * * * * [progress]: [ 37 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 38 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 39 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 40 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 41 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 42 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 43 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 44 / 89 ] simplifiying candidate # 6.182 * * * * [progress]: [ 45 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 46 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 47 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 48 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 49 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 50 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 51 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 52 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 53 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 54 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 55 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 56 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 57 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 58 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 59 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 60 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 61 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 62 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 63 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 64 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 65 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 66 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 67 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 68 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 69 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 70 / 89 ] simplifiying candidate # 6.183 * * * * [progress]: [ 71 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 72 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 73 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 74 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 75 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 76 / 89 ] simplifiying candidate #real (real->posit16 (* (cbrt N) (cbrt N))))) (cbrt N)))))> 6.184 * * * * [progress]: [ 77 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 78 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 79 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 80 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 81 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 82 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 83 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 84 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 85 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 86 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 87 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 88 / 89 ] simplifiying candidate # 6.184 * * * * [progress]: [ 89 / 89 ] simplifiying candidate # 6.185 * [simplify]: Simplifying: (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (real->posit16 (* (cbrt N) (cbrt N))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 6.186 * * [simplify]: iteration 1: (63 enodes) 6.207 * * [simplify]: iteration 2: (132 enodes) 6.263 * * [simplify]: iteration 3: (309 enodes) 6.425 * * [simplify]: iteration 4: (814 enodes) 7.178 * * [simplify]: Extracting #0: cost 31 inf + 0 7.179 * * [simplify]: Extracting #1: cost 341 inf + 45 7.182 * * [simplify]: Extracting #2: cost 597 inf + 10364 7.191 * * [simplify]: Extracting #3: cost 434 inf + 67339 7.212 * * [simplify]: Extracting #4: cost 141 inf + 209848 7.266 * * [simplify]: Extracting #5: cost 22 inf + 272313 7.295 * * [simplify]: Extracting #6: cost 0 inf + 280819 7.334 * [simplify]: Simplified to: (* 1/3 (log N)) (exp (cbrt N)) (cbrt (cbrt (* N N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (cbrt (* N N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (cbrt (* N N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) 2/3 2 (* N N) (cbrt (* N N)) 2 (* (log N) 2/3) (* (log N) 2/3) (exp (cbrt (* N N))) (* N N) (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))) (cbrt (cbrt (* N N))) (* N N) (fabs (cbrt N)) (fabs (cbrt N)) (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) 1 (cbrt (* N N)) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N) (cbrt N) 1 (cbrt (* N N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (cbrt N) (cbrt N) 2/3 2 (* (cbrt N) (cbrt (cbrt (* N N)))) (* (cbrt N) (cbrt (sqrt N))) (cbrt N) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (cbrt N) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt (sqrt N))) (cbrt (* N N)) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt N) (sqrt (cbrt N))) (cbrt (* N N)) (real->posit16 (cbrt (* N N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt (* N N)) (pow (/ 1 N) -2/3) (* (* (cbrt -1) (cbrt -1)) (cbrt (* N N))) 7.339 * * * [progress]: adding candidates to table 7.723 * * [progress]: iteration 4 / 4 7.723 * * * [progress]: picking best candidate 7.735 * * * * [pick]: Picked # 7.735 * * * [progress]: localizing error 7.771 * * * [progress]: generating rewritten candidates 7.771 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 7.775 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 7.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.776 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 7.818 * * * [progress]: generating series expansions 7.818 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 7.818 * [backup-simplify]: Simplify (cbrt (* N N)) into (pow (pow N 2) 1/3) 7.819 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 7.819 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 7.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 7.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 7.819 * [taylor]: Taking taylor expansion of 1/3 in N 7.819 * [backup-simplify]: Simplify 1/3 into 1/3 7.819 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 7.819 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.819 * [taylor]: Taking taylor expansion of N in N 7.819 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify 1 into 1 7.819 * [backup-simplify]: Simplify (* 1 1) into 1 7.820 * [backup-simplify]: Simplify (log 1) into 0 7.820 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.820 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.820 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.820 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 7.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 7.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 7.820 * [taylor]: Taking taylor expansion of 1/3 in N 7.820 * [backup-simplify]: Simplify 1/3 into 1/3 7.820 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 7.820 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.820 * [taylor]: Taking taylor expansion of N in N 7.820 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify 1 into 1 7.820 * [backup-simplify]: Simplify (* 1 1) into 1 7.821 * [backup-simplify]: Simplify (log 1) into 0 7.821 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.821 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.821 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.821 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 7.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.823 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.823 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 7.824 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.826 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 7.827 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.827 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.831 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.831 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.832 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 7.833 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.840 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.841 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.842 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 7.843 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.860 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.860 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.861 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 7.867 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.867 * [backup-simplify]: Simplify 0 into 0 7.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.885 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.885 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.887 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 7.892 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 7.892 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 7.892 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 7.892 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.892 * [taylor]: Taking taylor expansion of 1/3 in N 7.892 * [backup-simplify]: Simplify 1/3 into 1/3 7.892 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.892 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.892 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.892 * [taylor]: Taking taylor expansion of N in N 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 1 into 1 7.893 * [backup-simplify]: Simplify (* 1 1) into 1 7.893 * [backup-simplify]: Simplify (/ 1 1) into 1 7.893 * [backup-simplify]: Simplify (log 1) into 0 7.894 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.894 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.894 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.894 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.894 * [taylor]: Taking taylor expansion of 1/3 in N 7.894 * [backup-simplify]: Simplify 1/3 into 1/3 7.894 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.894 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.894 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.894 * [taylor]: Taking taylor expansion of N in N 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (* 1 1) into 1 7.895 * [backup-simplify]: Simplify (/ 1 1) into 1 7.895 * [backup-simplify]: Simplify (log 1) into 0 7.896 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.896 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.896 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.896 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.900 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.900 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 7.901 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.901 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.905 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.906 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.907 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 7.908 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.916 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.917 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 7.918 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.918 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.931 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.932 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.933 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 7.936 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.937 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.959 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.960 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.962 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 7.966 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.007 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.008 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.011 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 8.018 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.018 * [backup-simplify]: Simplify 0 into 0 8.018 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 8.018 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (/ 1 (- N)))) into (pow (/ 1 (pow N 2)) 1/3) 8.018 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 8.018 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 8.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 8.018 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 8.018 * [taylor]: Taking taylor expansion of 1/3 in N 8.018 * [backup-simplify]: Simplify 1/3 into 1/3 8.018 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 8.018 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.018 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.018 * [taylor]: Taking taylor expansion of N in N 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 1 into 1 8.019 * [backup-simplify]: Simplify (* 1 1) into 1 8.019 * [backup-simplify]: Simplify (/ 1 1) into 1 8.020 * [backup-simplify]: Simplify (log 1) into 0 8.020 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.020 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.021 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.021 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 8.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 8.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 8.021 * [taylor]: Taking taylor expansion of 1/3 in N 8.021 * [backup-simplify]: Simplify 1/3 into 1/3 8.021 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 8.021 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.021 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.021 * [taylor]: Taking taylor expansion of N in N 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 1 into 1 8.021 * [backup-simplify]: Simplify (* 1 1) into 1 8.022 * [backup-simplify]: Simplify (/ 1 1) into 1 8.022 * [backup-simplify]: Simplify (log 1) into 0 8.022 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.023 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.023 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.023 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.026 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.027 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 8.027 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.027 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.032 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.033 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 8.035 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.035 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.043 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.043 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.045 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 8.046 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.060 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.060 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.062 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 8.064 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.064 * [backup-simplify]: Simplify 0 into 0 8.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.085 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.086 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.089 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 8.094 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.094 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.128 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.128 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.130 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 8.133 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify (pow (/ 1 (- N)) -2/3) into (pow (/ -1 N) -2/3) 8.133 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 8.133 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 8.133 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 8.133 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.133 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.133 * [taylor]: Taking taylor expansion of 1/3 in N 8.133 * [backup-simplify]: Simplify 1/3 into 1/3 8.133 * [taylor]: Taking taylor expansion of (log N) in N 8.133 * [taylor]: Taking taylor expansion of N in N 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify 1 into 1 8.133 * [backup-simplify]: Simplify (log 1) into 0 8.134 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.134 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.134 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.134 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.134 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.134 * [taylor]: Taking taylor expansion of 1/3 in N 8.134 * [backup-simplify]: Simplify 1/3 into 1/3 8.134 * [taylor]: Taking taylor expansion of (log N) in N 8.134 * [taylor]: Taking taylor expansion of N in N 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 1 into 1 8.134 * [backup-simplify]: Simplify (log 1) into 0 8.135 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.135 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.135 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.135 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.136 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.136 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 8.137 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.137 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.138 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.140 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.140 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.148 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.148 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 8.149 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.149 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.156 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.156 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 8.158 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.158 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.168 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 8.174 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.174 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.206 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.208 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 8.214 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.214 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.214 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 8.214 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 8.214 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.214 * [taylor]: Taking taylor expansion of 1/3 in N 8.215 * [backup-simplify]: Simplify 1/3 into 1/3 8.215 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.215 * [taylor]: Taking taylor expansion of N in N 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.215 * [backup-simplify]: Simplify (/ 1 1) into 1 8.215 * [backup-simplify]: Simplify (log 1) into 0 8.216 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.216 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.216 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.216 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.216 * [taylor]: Taking taylor expansion of 1/3 in N 8.216 * [backup-simplify]: Simplify 1/3 into 1/3 8.216 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.216 * [taylor]: Taking taylor expansion of N in N 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 1 into 1 8.217 * [backup-simplify]: Simplify (/ 1 1) into 1 8.217 * [backup-simplify]: Simplify (log 1) into 0 8.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.217 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.218 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.218 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 8.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.221 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 8.221 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.221 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.226 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 8.228 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.228 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.234 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 8.237 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.237 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.245 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.247 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.249 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.249 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.265 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.270 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.270 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.299 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.300 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.302 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.309 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 8.309 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 8.309 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 8.309 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 8.309 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.309 * [taylor]: Taking taylor expansion of 1/3 in N 8.309 * [backup-simplify]: Simplify 1/3 into 1/3 8.309 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.309 * [taylor]: Taking taylor expansion of N in N 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 1 into 1 8.309 * [backup-simplify]: Simplify (/ 1 1) into 1 8.310 * [backup-simplify]: Simplify (log 1) into 0 8.310 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.310 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.310 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.310 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.310 * [taylor]: Taking taylor expansion of -1 in N 8.310 * [backup-simplify]: Simplify -1 into -1 8.311 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.311 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.311 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 8.311 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.311 * [taylor]: Taking taylor expansion of 1/3 in N 8.311 * [backup-simplify]: Simplify 1/3 into 1/3 8.311 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.311 * [taylor]: Taking taylor expansion of N in N 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [backup-simplify]: Simplify (/ 1 1) into 1 8.312 * [backup-simplify]: Simplify (log 1) into 0 8.312 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.312 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.312 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.312 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.312 * [taylor]: Taking taylor expansion of -1 in N 8.312 * [backup-simplify]: Simplify -1 into -1 8.312 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.313 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.313 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 8.314 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 8.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.316 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.316 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 8.316 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.317 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.320 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 8.322 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.322 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.322 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.327 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.327 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 8.329 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.330 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.337 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.338 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.339 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.340 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.341 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.354 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.354 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.358 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.359 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 8.359 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.398 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.407 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.409 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 8.409 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.410 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.410 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 8.410 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.410 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.410 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.410 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.411 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.412 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ (/ 1 N) 1) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.412 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 8.412 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.412 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.412 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.412 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.412 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.413 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ (/ 1 (- N)) 1) (cbrt (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (/ 1 (- N)))))) into (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) 8.413 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) in (N) around 0 8.413 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) in N 8.414 * [backup-simplify]: Simplify (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) into (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) 8.414 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) in N 8.415 * [backup-simplify]: Simplify (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) into (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) 8.416 * [backup-simplify]: Simplify (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) into (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify (atan2 1 (- (+ 1 (/ (cbrt -1) (/ 1 (- N)))) (/ (cbrt -1) (pow (/ 1 (- N)) 2)))) into (atan2 1 (- 1 (+ (* (pow N 2) (cbrt -1)) (* N (cbrt -1))))) 8.417 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 8.417 * [backup-simplify]: Simplify (* (* (+ N 1) (cbrt (* N N))) (cbrt N)) into (* (+ N 1) N) 8.417 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 8.417 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.417 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.417 * [taylor]: Taking taylor expansion of N in N 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [taylor]: Taking taylor expansion of 1 in N 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [taylor]: Taking taylor expansion of N in N 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.417 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.417 * [taylor]: Taking taylor expansion of N in N 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [taylor]: Taking taylor expansion of 1 in N 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [taylor]: Taking taylor expansion of N in N 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [backup-simplify]: Simplify (+ 0 1) into 1 8.418 * [backup-simplify]: Simplify (* 1 0) into 0 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify (+ 1 0) into 1 8.418 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 8.418 * [backup-simplify]: Simplify 1 into 1 8.419 * [backup-simplify]: Simplify (+ 0 0) into 0 8.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 8.419 * [backup-simplify]: Simplify 1 into 1 8.420 * [backup-simplify]: Simplify (+ 0 0) into 0 8.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify (+ 0 0) into 0 8.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify (+ 0 0) into 0 8.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify (+ 0 0) into 0 8.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.423 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify (+ 0 0) into 0 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify (+ 0 0) into 0 8.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 8.426 * [backup-simplify]: Simplify 0 into 0 8.426 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 8.426 * [backup-simplify]: Simplify (* (* (+ (/ 1 N) 1) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (/ 1 N))) into (/ (+ (/ 1 N) 1) N) 8.426 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 8.426 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.426 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.426 * [taylor]: Taking taylor expansion of N in N 8.426 * [backup-simplify]: Simplify 0 into 0 8.426 * [backup-simplify]: Simplify 1 into 1 8.427 * [backup-simplify]: Simplify (/ 1 1) into 1 8.427 * [taylor]: Taking taylor expansion of 1 in N 8.427 * [backup-simplify]: Simplify 1 into 1 8.427 * [taylor]: Taking taylor expansion of N in N 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 1 into 1 8.427 * [backup-simplify]: Simplify (+ 1 0) into 1 8.427 * [backup-simplify]: Simplify (/ 1 1) into 1 8.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.427 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.427 * [taylor]: Taking taylor expansion of N in N 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (/ 1 1) into 1 8.428 * [taylor]: Taking taylor expansion of 1 in N 8.428 * [backup-simplify]: Simplify 1 into 1 8.428 * [taylor]: Taking taylor expansion of N in N 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (+ 1 0) into 1 8.428 * [backup-simplify]: Simplify (/ 1 1) into 1 8.428 * [backup-simplify]: Simplify 1 into 1 8.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (+ 0 1) into 1 8.430 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.430 * [backup-simplify]: Simplify 1 into 1 8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (+ 0 0) into 0 8.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.431 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.432 * [backup-simplify]: Simplify (+ 0 0) into 0 8.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.433 * [backup-simplify]: Simplify (+ 0 0) into 0 8.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.434 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (+ 0 0) into 0 8.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.436 * [backup-simplify]: Simplify (+ 0 0) into 0 8.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.438 * [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 8.438 * [backup-simplify]: Simplify (+ 0 0) into 0 8.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 8.439 * [backup-simplify]: Simplify (* (* (+ (/ 1 (- N)) 1) (cbrt (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (/ 1 (- N)))) into (/ (* (cbrt -1) (- 1 (/ 1 N))) N) 8.439 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (- 1 (/ 1 N))) N) in (N) around 0 8.439 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1 (/ 1 N))) N) in N 8.439 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1 (/ 1 N))) in N 8.439 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.439 * [taylor]: Taking taylor expansion of -1 in N 8.439 * [backup-simplify]: Simplify -1 into -1 8.440 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.440 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.440 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.440 * [taylor]: Taking taylor expansion of 1 in N 8.440 * [backup-simplify]: Simplify 1 into 1 8.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.440 * [taylor]: Taking taylor expansion of N in N 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.440 * [backup-simplify]: Simplify (/ 1 1) into 1 8.440 * [taylor]: Taking taylor expansion of N in N 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (- 1) into -1 8.441 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.442 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 8.443 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 8.443 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1 (/ 1 N))) N) in N 8.443 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1 (/ 1 N))) in N 8.443 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.443 * [taylor]: Taking taylor expansion of -1 in N 8.443 * [backup-simplify]: Simplify -1 into -1 8.443 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.443 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.443 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.444 * [taylor]: Taking taylor expansion of 1 in N 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.444 * [taylor]: Taking taylor expansion of N in N 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (/ 1 1) into 1 8.444 * [taylor]: Taking taylor expansion of N in N 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (- 1) into -1 8.444 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.445 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 8.447 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 8.448 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 8.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.448 * [backup-simplify]: Simplify (- 0) into 0 8.449 * [backup-simplify]: Simplify (+ 1 0) into 1 8.450 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 -1)) into (cbrt -1) 8.452 * [backup-simplify]: Simplify (- (/ (cbrt -1) 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)))) into (cbrt -1) 8.452 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.453 * [backup-simplify]: Simplify (- 0) into 0 8.453 * [backup-simplify]: Simplify (+ 0 0) into 0 8.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.455 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 -1))) into 0 8.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)))) into 0 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.457 * [backup-simplify]: Simplify (- 0) into 0 8.457 * [backup-simplify]: Simplify (+ 0 0) into 0 8.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.458 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 8.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.459 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.461 * [backup-simplify]: Simplify (- 0) into 0 8.461 * [backup-simplify]: Simplify (+ 0 0) into 0 8.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.463 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.465 * [backup-simplify]: Simplify (- 0) into 0 8.465 * [backup-simplify]: Simplify (+ 0 0) into 0 8.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.467 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 8.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.469 * [backup-simplify]: Simplify (- 0) into 0 8.469 * [backup-simplify]: Simplify (+ 0 0) into 0 8.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.471 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 8.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.472 * [backup-simplify]: Simplify 0 into 0 8.473 * [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 8.473 * [backup-simplify]: Simplify (- 0) into 0 8.473 * [backup-simplify]: Simplify (+ 0 0) into 0 8.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.475 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 8.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.476 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 (/ 1 (- N)))) (* (* -1 (cbrt -1)) (pow (/ 1 (/ 1 (- N))) 2))) into (- (+ (* (pow N 2) (cbrt -1)) (* N (cbrt -1)))) 8.478 * * * [progress]: simplifying candidates 8.478 * * * * [progress]: [ 1 / 66 ] simplifiying candidate # 8.478 * * * * [progress]: [ 2 / 66 ] simplifiying candidate # 8.478 * * * * [progress]: [ 3 / 66 ] simplifiying candidate # 8.478 * * * * [progress]: [ 4 / 66 ] simplifiying candidate # 8.478 * * * * [progress]: [ 5 / 66 ] simplifiying candidate # 8.478 * * * * [progress]: [ 6 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 7 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 8 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 9 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 10 / 66 ] simplifiying candidate #real (real->posit16 (cbrt (* N N))))) (cbrt N)))))> 8.479 * * * * [progress]: [ 11 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 12 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 13 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 14 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 15 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 16 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 17 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 18 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 19 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 20 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 21 / 66 ] simplifiying candidate # 8.479 * * * * [progress]: [ 22 / 66 ] simplifiying candidate #real (real->posit16 (cbrt N)))))))> 8.480 * * * * [progress]: [ 23 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 24 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 25 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 26 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 27 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 28 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 29 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 30 / 66 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))))))> 8.480 * * * * [progress]: [ 31 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 32 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 33 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 34 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 35 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 36 / 66 ] simplifiying candidate # 8.480 * * * * [progress]: [ 37 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 38 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 39 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 40 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 41 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 42 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 43 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 44 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 45 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 46 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 47 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 48 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 49 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 50 / 66 ] simplifiying candidate # 8.481 * * * * [progress]: [ 51 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 52 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 53 / 66 ] simplifiying candidate #real (real->posit16 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))))))> 8.482 * * * * [progress]: [ 54 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 55 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 56 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 57 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 58 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 59 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 60 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 61 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 62 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 63 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 64 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 65 / 66 ] simplifiying candidate # 8.482 * * * * [progress]: [ 66 / 66 ] simplifiying candidate # 8.483 * [simplify]: Simplifying: (log (cbrt (* N N))) (exp (cbrt (* N N))) (cbrt N) (cbrt N) (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))) (cbrt (cbrt (* N N))) (* (* (cbrt (* N N)) (cbrt (* N N))) (cbrt (* N N))) (sqrt (cbrt (* N N))) (sqrt (cbrt (* N N))) (real->posit16 (cbrt (* N N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (log (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (exp (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (* (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))))) (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (* (* (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))) (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (* (* (+ N 1) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1) (cbrt (* N N))) (cbrt N)) (+ (+ (log (+ N 1)) (log (cbrt (* N N)))) (log (cbrt N))) (+ (log (* (+ N 1) (cbrt (* N N)))) (log (cbrt N))) (log (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (exp (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (* (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* N N)) N) (* (* (* (* (+ N 1) (cbrt (* N N))) (* (+ N 1) (cbrt (* N N)))) (* (+ N 1) (cbrt (* N N)))) N) (* (cbrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (cbrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))) (cbrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (* (* (* (* (+ N 1) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (sqrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (sqrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1) (cbrt (* N N))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (+ N 1) (cbrt (* N N))) (cbrt (sqrt N))) (* (* (+ N 1) (cbrt (* N N))) (cbrt 1)) (* (* (+ N 1) (cbrt (* N N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (* (+ N 1) (cbrt (* N N))) (sqrt (cbrt N))) (* (* (+ N 1) (cbrt (* N N))) 1) (* (cbrt (* N N)) (cbrt N)) (* (* (+ (pow N 3) (pow 1 3)) (cbrt (* N N))) (cbrt N)) (* (* (- (* N N) (* 1 1)) (cbrt (* N N))) (cbrt N)) (real->posit16 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (pow N 2/3) (pow (/ 1 N) -2/3) (pow (/ -1 N) -2/3) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (- 1 (+ (* (pow N 2) (cbrt -1)) (* N (cbrt -1))))) (+ N (pow N 2)) (+ N (pow N 2)) (- (+ (* (pow N 2) (cbrt -1)) (* N (cbrt -1)))) 8.485 * * [simplify]: iteration 1: (103 enodes) 8.544 * * [simplify]: iteration 2: (243 enodes) 8.618 * * [simplify]: iteration 3: (650 enodes) 9.123 * * [simplify]: Extracting #0: cost 52 inf + 0 9.123 * * [simplify]: Extracting #1: cost 291 inf + 205 9.126 * * [simplify]: Extracting #2: cost 477 inf + 12107 9.139 * * [simplify]: Extracting #3: cost 235 inf + 83162 9.162 * * [simplify]: Extracting #4: cost 32 inf + 151392 9.202 * * [simplify]: Extracting #5: cost 0 inf + 165895 9.242 * [simplify]: Simplified to: (log (cbrt (* N N))) (exp (cbrt (* N N))) (cbrt N) (cbrt N) (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))) (cbrt (cbrt (* N N))) (* N N) (sqrt (cbrt (* N N))) (sqrt (cbrt (* N N))) (real->posit16 (cbrt (* N N))) (* (log N) 1/3) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (log (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))))) (exp (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))))) (* (cbrt (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))))) (cbrt (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N)))))) (cbrt (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))))) (* (* (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N)))) (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))))) (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))))) (sqrt (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))))) (real->posit16 (atan2 1 (+ 1 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))))) (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N)) (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N)) (log (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (log (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (log (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (exp (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (* (* (+ (* N N) N) N) (+ (+ (* N N) N) (* (+ (* N N) N) N))) (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (* (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (+ (* N (cbrt (* N N))) (cbrt (* N N)))) N)) (* (cbrt (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (cbrt (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N)))) (cbrt (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (* (* (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N)) (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (sqrt (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (sqrt (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt (* (cbrt N) (cbrt N)))) (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt (sqrt N))) (+ (* N (cbrt (* N N))) (cbrt (* N N))) (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (sqrt (cbrt N))) (+ (* N (cbrt (* N N))) (cbrt (* N N))) (* (cbrt N) (cbrt (* N N))) (* (cbrt N) (+ (cbrt (* N N)) (* (* (* N N) N) (cbrt (* N N))))) (* (cbrt N) (* (- (* N N) 1) (cbrt (* N N)))) (real->posit16 (* (+ (* N (cbrt (* N N))) (cbrt (* N N))) (cbrt N))) (* (cbrt N) (cbrt N)) (pow (/ 1 N) -2/3) (pow (/ -1 N) -2/3) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (atan2 1 (+ (+ (* N N) N) 1)) (atan2 1 (+ (+ (* N N) N) 1)) (atan2 1 (- 1 (* (cbrt -1) (+ (* N N) N)))) (+ (* N N) N) (+ (* N N) N) (* (cbrt -1) (- (+ (* N N) N))) 9.246 * * * [progress]: adding candidates to table 9.546 * [progress]: [Phase 3 of 3] Extracting. 9.546 * * [regime]: Finding splitpoints for: (# # # # # #) 9.547 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.547 * * * * [regimes]: Trying to branch on N from (# # # # # #) 9.606 * * * [regime]: Found split indices: #