25.784 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.061 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.061 * * [simplify]: iteration 0: 6 enodes 0.062 * * [simplify]: iteration 1: 11 enodes 0.064 * * [simplify]: iteration 2: 12 enodes 0.065 * * [simplify]: iteration complete: 12 enodes 0.065 * * [simplify]: Extracting #0: cost 1 inf + 0 0.065 * * [simplify]: Extracting #1: cost 4 inf + 0 0.065 * * [simplify]: Extracting #2: cost 6 inf + 0 0.065 * * [simplify]: Extracting #3: cost 4 inf + 253 0.065 * * [simplify]: Extracting #4: cost 0 inf + 735 0.065 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.091 * * * [progress]: generating rewritten candidates 0.091 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.100 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.103 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.103 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.103 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.104 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.104 * [taylor]: Taking taylor expansion of (atan N) in N 0.104 * [backup-simplify]: Simplify (atan N) into (atan N) 0.104 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.104 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.104 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.104 * [taylor]: Taking taylor expansion of (atan N) in N 0.104 * [backup-simplify]: Simplify (atan N) into (atan N) 0.105 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.105 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.105 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 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 (- 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 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.110 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.110 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 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)) in N 0.111 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.111 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 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 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.111 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.111 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.111 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.117 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.117 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.117 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.117 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.117 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.117 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.117 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.117 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.117 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.117 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.117 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.117 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.118 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.118 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.118 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.123 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.123 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.123 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.123 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.123 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.123 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.123 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.124 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.124 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.124 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.124 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.124 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.124 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.125 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.125 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.125 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.125 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.125 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.125 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.126 * * * [progress]: simplifying candidates 0.126 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.126 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.127 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.127 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.127 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.128 * [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)) 0.129 * * [simplify]: iteration 0: 41 enodes 0.144 * * [simplify]: iteration 1: 77 enodes 0.172 * * [simplify]: iteration 2: 151 enodes 0.232 * * [simplify]: iteration 3: 313 enodes 0.297 * * [simplify]: iteration 4: 719 enodes 0.498 * * [simplify]: iteration 5: 2000 enodes 0.871 * * [simplify]: iteration complete: 2000 enodes 0.871 * * [simplify]: Extracting #0: cost 25 inf + 0 0.872 * * [simplify]: Extracting #1: cost 161 inf + 1 0.874 * * [simplify]: Extracting #2: cost 367 inf + 4218 0.880 * * [simplify]: Extracting #3: cost 251 inf + 42923 0.896 * * [simplify]: Extracting #4: cost 102 inf + 112172 0.933 * * [simplify]: Extracting #5: cost 27 inf + 166628 0.979 * * [simplify]: Extracting #6: cost 9 inf + 171035 1.005 * * [simplify]: Extracting #7: cost 0 inf + 174257 1.040 * [simplify]: Simplified to: 1 (+ (+ (* N N) N) 1) (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 N) (atan N)) (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N))))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan 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)) 1.042 * * * [progress]: adding candidates to table 1.289 * * [progress]: iteration 2 / 4 1.289 * * * [progress]: picking best candidate 1.293 * * * * [pick]: Picked # 1.293 * * * [progress]: localizing error 1.316 * * * [progress]: generating rewritten candidates 1.316 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.317 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.338 * * * [progress]: generating series expansions 1.338 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.338 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.338 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1.338 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.338 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.338 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.338 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.339 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.339 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.339 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1.339 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.339 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.339 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.339 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.339 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.340 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.340 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1.340 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.340 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.340 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.340 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.340 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.341 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.341 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1.341 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1.341 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.341 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.341 * [taylor]: Taking taylor expansion of N in N 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [taylor]: Taking taylor expansion of 1 in N 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [taylor]: Taking taylor expansion of N in N 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.341 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.341 * [taylor]: Taking taylor expansion of N in N 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [taylor]: Taking taylor expansion of 1 in N 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [taylor]: Taking taylor expansion of N in N 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (+ 0 1) into 1 1.342 * [backup-simplify]: Simplify (* 1 0) into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (+ 1 0) into 1 1.343 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.349 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1.354 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1.354 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.355 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.355 * [taylor]: Taking taylor expansion of N in N 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (/ 1 1) into 1 1.355 * [taylor]: Taking taylor expansion of 1 in N 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of N in N 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (+ 1 0) into 1 1.356 * [backup-simplify]: Simplify (/ 1 1) into 1 1.356 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.356 * [taylor]: Taking taylor expansion of N in N 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [taylor]: Taking taylor expansion of 1 in N 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of N in N 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.358 * [backup-simplify]: Simplify (/ 1 1) into 1 1.358 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 1) into 1 1.360 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.360 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.368 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [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 1.374 * [backup-simplify]: Simplify 0 into 0 1.375 * [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 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [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 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1.378 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1.378 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1.378 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.378 * [taylor]: Taking taylor expansion of -1 in N 1.378 * [backup-simplify]: Simplify -1 into -1 1.378 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.378 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.378 * [taylor]: Taking taylor expansion of 1 in N 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.378 * [taylor]: Taking taylor expansion of N in N 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (/ 1 1) into 1 1.378 * [taylor]: Taking taylor expansion of N in N 1.378 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (- 1) into -1 1.379 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.380 * [backup-simplify]: Simplify (/ -1 1) into -1 1.380 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.380 * [taylor]: Taking taylor expansion of -1 in N 1.380 * [backup-simplify]: Simplify -1 into -1 1.380 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.380 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.380 * [taylor]: Taking taylor expansion of 1 in N 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.380 * [taylor]: Taking taylor expansion of N in N 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (/ 1 1) into 1 1.381 * [taylor]: Taking taylor expansion of N in N 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (- 1) into -1 1.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.382 * [backup-simplify]: Simplify (/ -1 1) into -1 1.383 * [backup-simplify]: Simplify (* -1 -1) into 1 1.383 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (+ 1 0) into 1 1.386 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1.386 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.386 * [backup-simplify]: Simplify -1 into -1 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (- 0) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (- 0) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (- 0) into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.404 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [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 1.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.410 * [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 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [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 1.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1.415 * * * [progress]: simplifying candidates 1.415 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 1.415 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 1.415 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 1.416 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 1.417 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 1.417 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 1.417 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 1.417 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 1.417 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 1.417 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 1.417 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 1.418 * [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)) 1.418 * * [simplify]: iteration 0: 55 enodes 1.443 * * [simplify]: iteration 1: 121 enodes 1.502 * * [simplify]: iteration 2: 266 enodes 1.671 * * [simplify]: iteration 3: 706 enodes 1.971 * * [simplify]: iteration 4: 2002 enodes 2.548 * * [simplify]: iteration complete: 2002 enodes 2.548 * * [simplify]: Extracting #0: cost 25 inf + 0 2.549 * * [simplify]: Extracting #1: cost 226 inf + 0 2.553 * * [simplify]: Extracting #2: cost 656 inf + 1431 2.562 * * [simplify]: Extracting #3: cost 562 inf + 17030 2.581 * * [simplify]: Extracting #4: cost 262 inf + 65696 2.602 * * [simplify]: Extracting #5: cost 21 inf + 126069 2.629 * * [simplify]: Extracting #6: cost 0 inf + 131716 2.663 * [simplify]: Simplified to: (log (atan2 1 (+ (* (+ 1 N) N) 1))) (exp (atan2 1 (+ (* (+ 1 N) N) 1))) (* (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1)))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (atan2 1 (+ (* (+ 1 N) N) 1)))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (real->posit16 (atan2 1 (+ (* (+ 1 N) N) 1))) (* (+ 1 N) N) (log (* (+ 1 N) N)) (log (* (+ 1 N) N)) (exp (* (+ 1 N) N)) (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N)) (* (cbrt (* (+ 1 N) N)) (cbrt (* (+ 1 N) N))) (cbrt (* (+ 1 N) N)) (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N)) (sqrt (* (+ 1 N) N)) (sqrt (* (+ 1 N) N)) (* (sqrt N) (sqrt (+ 1 N))) (* (sqrt N) (sqrt (+ 1 N))) (* (* (cbrt N) (cbrt N)) (+ 1 N)) (* (sqrt N) (+ 1 N)) (+ 1 N) (* (cbrt (+ 1 N)) N) (* N (sqrt (+ 1 N))) (* (+ 1 N) N) (* (+ 1 N) N) (+ N (* (* N N) (* N N))) (* N (+ (* N N) -1)) (real->posit16 (* (+ 1 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)) 2.665 * * * [progress]: adding candidates to table 2.920 * * [progress]: iteration 3 / 4 2.920 * * * [progress]: picking best candidate 2.935 * * * * [pick]: Picked # 2.936 * * * [progress]: localizing error 2.959 * * * [progress]: generating rewritten candidates 2.959 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 2.960 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 2.963 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 2.964 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 2.972 * * * [progress]: generating series expansions 2.972 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 2.973 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 2.973 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 2.973 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.973 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.973 * [taylor]: Taking taylor expansion of 1/3 in N 2.973 * [backup-simplify]: Simplify 1/3 into 1/3 2.973 * [taylor]: Taking taylor expansion of (log N) in N 2.973 * [taylor]: Taking taylor expansion of N in N 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (log 1) into 0 2.974 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.974 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.974 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.974 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.974 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.974 * [taylor]: Taking taylor expansion of 1/3 in N 2.974 * [backup-simplify]: Simplify 1/3 into 1/3 2.974 * [taylor]: Taking taylor expansion of (log N) in N 2.974 * [taylor]: Taking taylor expansion of N in N 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (log 1) into 0 2.974 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.974 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.974 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.974 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 2.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.976 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.976 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.977 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.980 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.981 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.983 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.988 * [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 2.989 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.990 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.992 * [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 2.992 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.004 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.009 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.029 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.032 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.070 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.075 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.075 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.076 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.076 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.076 * [taylor]: Taking taylor expansion of 1/3 in N 3.076 * [backup-simplify]: Simplify 1/3 into 1/3 3.076 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.076 * [taylor]: Taking taylor expansion of N in N 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [backup-simplify]: Simplify (log 1) into 0 3.076 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.077 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.077 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.077 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.077 * [taylor]: Taking taylor expansion of 1/3 in N 3.077 * [backup-simplify]: Simplify 1/3 into 1/3 3.077 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.077 * [taylor]: Taking taylor expansion of N in N 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.077 * [backup-simplify]: Simplify (/ 1 1) into 1 3.077 * [backup-simplify]: Simplify (log 1) into 0 3.077 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.078 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.078 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.078 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.079 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.079 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.080 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.080 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.082 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.084 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.089 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.090 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.091 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.091 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.097 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.098 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.100 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.117 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.123 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.157 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.160 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.166 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.166 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.166 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.166 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.166 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.166 * [taylor]: Taking taylor expansion of 1/3 in N 3.166 * [backup-simplify]: Simplify 1/3 into 1/3 3.166 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.167 * [taylor]: Taking taylor expansion of N in N 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.167 * [backup-simplify]: Simplify (/ 1 1) into 1 3.167 * [backup-simplify]: Simplify (log 1) into 0 3.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.168 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.168 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.168 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.168 * [taylor]: Taking taylor expansion of -1 in N 3.168 * [backup-simplify]: Simplify -1 into -1 3.169 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.170 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.170 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.170 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.170 * [taylor]: Taking taylor expansion of 1/3 in N 3.170 * [backup-simplify]: Simplify 1/3 into 1/3 3.170 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.170 * [taylor]: Taking taylor expansion of N in N 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (/ 1 1) into 1 3.171 * [backup-simplify]: Simplify (log 1) into 0 3.171 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.171 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.171 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.171 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.171 * [taylor]: Taking taylor expansion of -1 in N 3.171 * [backup-simplify]: Simplify -1 into -1 3.172 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.173 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.174 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.174 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.178 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.178 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.179 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.185 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.187 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.188 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.196 * [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 3.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.198 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.199 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.201 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.201 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.219 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.220 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.221 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.221 * [backup-simplify]: Simplify 0 into 0 3.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.238 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.239 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 3.239 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.275 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.283 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.285 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 3.285 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 3.286 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 3.286 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.286 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.286 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.286 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.286 * [taylor]: Taking taylor expansion of 1/3 in N 3.286 * [backup-simplify]: Simplify 1/3 into 1/3 3.286 * [taylor]: Taking taylor expansion of (log N) in N 3.286 * [taylor]: Taking taylor expansion of N in N 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (log 1) into 0 3.287 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.287 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.287 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.287 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.287 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.287 * [taylor]: Taking taylor expansion of 1/3 in N 3.287 * [backup-simplify]: Simplify 1/3 into 1/3 3.287 * [taylor]: Taking taylor expansion of (log N) in N 3.287 * [taylor]: Taking taylor expansion of N in N 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (log 1) into 0 3.288 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.288 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.288 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.288 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.290 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.291 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.292 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.295 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.296 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.297 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.303 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.306 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.318 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.319 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.322 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.336 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.337 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.339 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.358 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.359 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.362 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.362 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.362 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.362 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.363 * [taylor]: Taking taylor expansion of 1/3 in N 3.363 * [backup-simplify]: Simplify 1/3 into 1/3 3.363 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.363 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.363 * [taylor]: Taking taylor expansion of N in N 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 1 into 1 3.363 * [backup-simplify]: Simplify (/ 1 1) into 1 3.363 * [backup-simplify]: Simplify (log 1) into 0 3.364 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.364 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.364 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.364 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.364 * [taylor]: Taking taylor expansion of 1/3 in N 3.364 * [backup-simplify]: Simplify 1/3 into 1/3 3.364 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.364 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.364 * [taylor]: Taking taylor expansion of N in N 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [backup-simplify]: Simplify (log 1) into 0 3.365 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.365 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.365 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.366 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.368 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.369 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.370 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.374 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.376 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.384 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.385 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.386 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.395 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.397 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.407 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.411 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.433 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.434 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.436 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.442 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.443 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.443 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.443 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.443 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.443 * [taylor]: Taking taylor expansion of 1/3 in N 3.443 * [backup-simplify]: Simplify 1/3 into 1/3 3.443 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.443 * [taylor]: Taking taylor expansion of N in N 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (/ 1 1) into 1 3.444 * [backup-simplify]: Simplify (log 1) into 0 3.444 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.445 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.445 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.445 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.445 * [taylor]: Taking taylor expansion of -1 in N 3.445 * [backup-simplify]: Simplify -1 into -1 3.445 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.446 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.446 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.446 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.446 * [taylor]: Taking taylor expansion of 1/3 in N 3.446 * [backup-simplify]: Simplify 1/3 into 1/3 3.446 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.446 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.446 * [taylor]: Taking taylor expansion of N in N 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.447 * [backup-simplify]: Simplify (/ 1 1) into 1 3.447 * [backup-simplify]: Simplify (log 1) into 0 3.448 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.448 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.448 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.448 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.448 * [taylor]: Taking taylor expansion of -1 in N 3.448 * [backup-simplify]: Simplify -1 into -1 3.448 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.449 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.450 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.450 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.457 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.457 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.458 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.461 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.463 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.463 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.467 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.469 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.477 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.480 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.480 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.492 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.496 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.527 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.535 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.537 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 3.538 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 3.538 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.538 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.538 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.538 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.538 * [taylor]: Taking taylor expansion of 1/3 in N 3.538 * [backup-simplify]: Simplify 1/3 into 1/3 3.538 * [taylor]: Taking taylor expansion of (log N) in N 3.538 * [taylor]: Taking taylor expansion of N in N 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.539 * [backup-simplify]: Simplify (log 1) into 0 3.539 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.539 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.539 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.539 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.540 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.540 * [taylor]: Taking taylor expansion of 1/3 in N 3.540 * [backup-simplify]: Simplify 1/3 into 1/3 3.540 * [taylor]: Taking taylor expansion of (log N) in N 3.540 * [taylor]: Taking taylor expansion of N in N 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (log 1) into 0 3.541 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.541 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.541 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.541 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.543 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.543 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.544 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.548 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.550 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.550 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.557 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.558 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.560 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.560 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.583 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.584 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.587 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.606 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.612 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.645 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.648 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.654 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.654 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.654 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.654 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.654 * [taylor]: Taking taylor expansion of 1/3 in N 3.654 * [backup-simplify]: Simplify 1/3 into 1/3 3.654 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.654 * [taylor]: Taking taylor expansion of N in N 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (/ 1 1) into 1 3.655 * [backup-simplify]: Simplify (log 1) into 0 3.656 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.656 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.656 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.656 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.656 * [taylor]: Taking taylor expansion of 1/3 in N 3.656 * [backup-simplify]: Simplify 1/3 into 1/3 3.656 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.656 * [taylor]: Taking taylor expansion of N in N 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (/ 1 1) into 1 3.657 * [backup-simplify]: Simplify (log 1) into 0 3.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.657 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.657 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.658 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.660 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.661 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.662 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.666 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.668 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.674 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.675 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.678 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.691 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.693 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.696 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.714 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.719 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.763 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.764 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.766 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.773 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.773 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.773 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.773 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.773 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.773 * [taylor]: Taking taylor expansion of 1/3 in N 3.773 * [backup-simplify]: Simplify 1/3 into 1/3 3.773 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.773 * [taylor]: Taking taylor expansion of N in N 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [backup-simplify]: Simplify (log 1) into 0 3.775 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.775 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.775 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.775 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.775 * [taylor]: Taking taylor expansion of -1 in N 3.775 * [backup-simplify]: Simplify -1 into -1 3.776 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.776 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.776 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.776 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.777 * [taylor]: Taking taylor expansion of 1/3 in N 3.777 * [backup-simplify]: Simplify 1/3 into 1/3 3.777 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.777 * [taylor]: Taking taylor expansion of N in N 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [backup-simplify]: Simplify (log 1) into 0 3.778 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.778 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.778 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.778 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.778 * [taylor]: Taking taylor expansion of -1 in N 3.778 * [backup-simplify]: Simplify -1 into -1 3.779 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.780 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.780 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.781 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.784 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.784 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.784 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.785 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.788 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.789 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.790 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.794 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.795 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.796 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.797 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.797 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.805 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.807 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.808 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.808 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.824 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.826 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.830 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 3.832 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.873 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.876 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.882 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.884 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 3.884 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 3.884 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3) 3.884 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 3.885 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 3.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 3.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 3.885 * [taylor]: Taking taylor expansion of 1/3 in N 3.885 * [backup-simplify]: Simplify 1/3 into 1/3 3.885 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.885 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.885 * [taylor]: Taking taylor expansion of N in N 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (* 1 1) into 1 3.886 * [backup-simplify]: Simplify (log 1) into 0 3.886 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.886 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 3.886 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 3.886 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 3.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 3.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 3.886 * [taylor]: Taking taylor expansion of 1/3 in N 3.886 * [backup-simplify]: Simplify 1/3 into 1/3 3.886 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.886 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.886 * [taylor]: Taking taylor expansion of N in N 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (* 1 1) into 1 3.887 * [backup-simplify]: Simplify (log 1) into 0 3.888 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.888 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 3.888 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 3.888 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.890 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.891 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 3.892 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.896 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.897 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 3.899 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.906 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.907 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 3.909 * [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 3.909 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.920 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.921 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.923 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 3.926 * [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 3.926 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.946 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.947 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.949 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 3.953 * [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 3.953 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.988 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.988 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.991 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 3.997 * [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 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 3.998 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 3.998 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 3.998 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 3.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 3.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 3.998 * [taylor]: Taking taylor expansion of 1/3 in N 3.998 * [backup-simplify]: Simplify 1/3 into 1/3 3.998 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 3.998 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.998 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.998 * [taylor]: Taking taylor expansion of N in N 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (* 1 1) into 1 3.999 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [backup-simplify]: Simplify (log 1) into 0 4.000 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.000 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.000 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.000 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.000 * [taylor]: Taking taylor expansion of 1/3 in N 4.000 * [backup-simplify]: Simplify 1/3 into 1/3 4.000 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.000 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.000 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.000 * [taylor]: Taking taylor expansion of N in N 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.001 * [backup-simplify]: Simplify (/ 1 1) into 1 4.001 * [backup-simplify]: Simplify (log 1) into 0 4.002 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.002 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.002 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.002 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.006 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.008 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.012 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 4.015 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.027 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.027 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.028 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 4.029 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.029 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.036 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.037 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 4.039 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.039 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.056 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 4.062 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.085 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.085 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.087 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 4.090 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 4.091 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.091 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 4.091 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.091 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.091 * [taylor]: Taking taylor expansion of 1/3 in N 4.091 * [backup-simplify]: Simplify 1/3 into 1/3 4.091 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.091 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.091 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.091 * [taylor]: Taking taylor expansion of N in N 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (* 1 1) into 1 4.091 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [backup-simplify]: Simplify (log 1) into 0 4.092 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.092 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.092 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.092 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.092 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.092 * [taylor]: Taking taylor expansion of -1 in N 4.092 * [backup-simplify]: Simplify -1 into -1 4.093 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.093 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.093 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.093 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.093 * [taylor]: Taking taylor expansion of 1/3 in N 4.093 * [backup-simplify]: Simplify 1/3 into 1/3 4.093 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.093 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.093 * [taylor]: Taking taylor expansion of N in N 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (* 1 1) into 1 4.094 * [backup-simplify]: Simplify (/ 1 1) into 1 4.094 * [backup-simplify]: Simplify (log 1) into 0 4.094 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.094 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.094 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.095 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.095 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.095 * [taylor]: Taking taylor expansion of -1 in N 4.095 * [backup-simplify]: Simplify -1 into -1 4.095 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.095 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.096 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 4.098 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.099 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.100 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 4.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.104 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.104 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.105 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.106 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (* 0 (pow (cbrt -1) 2))) into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.109 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.114 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.115 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 4.117 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.121 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.129 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.131 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 4.133 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.134 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.138 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.159 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.159 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.161 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 4.163 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.168 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.186 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 4.190 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.191 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.194 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.213 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 4.218 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.220 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))))) into 0 4.220 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 4.221 * * * [progress]: simplifying candidates 4.221 * * * * [progress]: [ 1 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 2 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 3 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 4 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 5 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 6 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 7 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 8 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 9 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 10 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 11 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 12 / 89 ] simplifiying candidate #real (real->posit16 (cbrt N)))))))> 4.222 * * * * [progress]: [ 13 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 14 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 15 / 89 ] simplifiying candidate # 4.222 * * * * [progress]: [ 16 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 17 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 18 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 19 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 20 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 21 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 22 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 23 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 24 / 89 ] simplifiying candidate #real (real->posit16 (cbrt N))))) (cbrt N)))))> 4.223 * * * * [progress]: [ 25 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 26 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 27 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 28 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 29 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 30 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 31 / 89 ] simplifiying candidate # 4.223 * * * * [progress]: [ 32 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 33 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 34 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 35 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 36 / 89 ] simplifiying candidate #real (real->posit16 (cbrt N))) (cbrt N))) (cbrt N)))))> 4.224 * * * * [progress]: [ 37 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 38 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 39 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 40 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 41 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 42 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 43 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 44 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 45 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 46 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 47 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 48 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 49 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 50 / 89 ] simplifiying candidate # 4.224 * * * * [progress]: [ 51 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 52 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 53 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 54 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 55 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 56 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 57 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 58 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 59 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 60 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 61 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 62 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 63 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 64 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 65 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 66 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 67 / 89 ] simplifiying candidate # 4.225 * * * * [progress]: [ 68 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 69 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 70 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 71 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 72 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 73 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 74 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 75 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 76 / 89 ] simplifiying candidate #real (real->posit16 (* (cbrt N) (cbrt N))))) (cbrt N)))))> 4.226 * * * * [progress]: [ 77 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 78 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 79 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 80 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 81 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 82 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 83 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 84 / 89 ] simplifiying candidate # 4.226 * * * * [progress]: [ 85 / 89 ] simplifiying candidate # 4.227 * * * * [progress]: [ 86 / 89 ] simplifiying candidate # 4.227 * * * * [progress]: [ 87 / 89 ] simplifiying candidate # 4.227 * * * * [progress]: [ 88 / 89 ] simplifiying candidate # 4.227 * * * * [progress]: [ 89 / 89 ] simplifiying candidate # 4.228 * [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)) 4.229 * * [simplify]: iteration 0: 63 enodes 4.262 * * [simplify]: iteration 1: 138 enodes 4.336 * * [simplify]: iteration 2: 380 enodes 4.524 * * [simplify]: iteration 3: 1045 enodes 4.816 * * [simplify]: iteration 4: 2007 enodes 5.217 * * [simplify]: iteration complete: 2007 enodes 5.217 * * [simplify]: Extracting #0: cost 31 inf + 0 5.218 * * [simplify]: Extracting #1: cost 272 inf + 912 5.221 * * [simplify]: Extracting #2: cost 433 inf + 14356 5.226 * * [simplify]: Extracting #3: cost 414 inf + 41732 5.247 * * [simplify]: Extracting #4: cost 179 inf + 140834 5.280 * * [simplify]: Extracting #5: cost 26 inf + 188029 5.316 * * [simplify]: Extracting #6: cost 0 inf + 199134 5.354 * [simplify]: Simplified to: (* 1/3 (log N)) (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)) (* 1/3 (log N)) (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)) (* 1/3 (log N)) (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)) 2/3 2 (* N N) (* (cbrt N) (cbrt N)) 2 (* 2/3 (log N)) (* 2/3 (log N)) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* N N) (fabs (cbrt N)) (fabs (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))) 1 (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N) (cbrt N) 1 (* (cbrt N) (cbrt 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 (* (cbrt N) (cbrt N))) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (cbrt N) (* (* (cbrt N) (cbrt (cbrt N))) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt N)) (cbrt N) (* (cbrt N) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (real->posit16 (* (cbrt N) (cbrt N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (* (cbrt N) (cbrt N)) (pow (/ 1 N) -2/3) (* (* (* (cbrt N) (cbrt N)) (cbrt -1)) (cbrt -1)) 5.364 * * * [progress]: adding candidates to table 6.123 * * [progress]: iteration 4 / 4 6.123 * * * [progress]: picking best candidate 6.135 * * * * [pick]: Picked # 6.135 * * * [progress]: localizing error 6.160 * * * [progress]: generating rewritten candidates 6.160 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 6.163 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 6.164 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.164 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 6.203 * * * [progress]: generating series expansions 6.203 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 6.203 * [backup-simplify]: Simplify (cbrt (* N N)) into (pow (pow N 2) 1/3) 6.203 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 6.203 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 6.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 6.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 6.203 * [taylor]: Taking taylor expansion of 1/3 in N 6.203 * [backup-simplify]: Simplify 1/3 into 1/3 6.203 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 6.204 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.204 * [taylor]: Taking taylor expansion of N in N 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (* 1 1) into 1 6.205 * [backup-simplify]: Simplify (log 1) into 0 6.205 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.206 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 6.206 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 6.206 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 6.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 6.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 6.206 * [taylor]: Taking taylor expansion of 1/3 in N 6.206 * [backup-simplify]: Simplify 1/3 into 1/3 6.206 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 6.206 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.206 * [taylor]: Taking taylor expansion of N in N 6.206 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify 1 into 1 6.207 * [backup-simplify]: Simplify (* 1 1) into 1 6.207 * [backup-simplify]: Simplify (log 1) into 0 6.207 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.207 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 6.207 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 6.208 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 6.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.210 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 6.216 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.216 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.220 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 6.221 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.225 * [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 6.225 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.226 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 6.227 * [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 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.233 * [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 6.234 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 6.237 * [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 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.247 * [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 6.248 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.250 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 6.252 * [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 6.252 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.270 * [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 6.270 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 6.272 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 6.275 * [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 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 6.275 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 6.275 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 6.275 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.275 * [taylor]: Taking taylor expansion of 1/3 in N 6.275 * [backup-simplify]: Simplify 1/3 into 1/3 6.275 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.275 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.275 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.275 * [taylor]: Taking taylor expansion of N in N 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 1 into 1 6.276 * [backup-simplify]: Simplify (* 1 1) into 1 6.276 * [backup-simplify]: Simplify (/ 1 1) into 1 6.276 * [backup-simplify]: Simplify (log 1) into 0 6.276 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.276 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.276 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.276 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.277 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.277 * [taylor]: Taking taylor expansion of 1/3 in N 6.277 * [backup-simplify]: Simplify 1/3 into 1/3 6.277 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.277 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.277 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.277 * [taylor]: Taking taylor expansion of N in N 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (* 1 1) into 1 6.277 * [backup-simplify]: Simplify (/ 1 1) into 1 6.277 * [backup-simplify]: Simplify (log 1) into 0 6.278 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.278 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.278 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.278 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.280 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 6.280 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.283 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.284 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 6.285 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.288 * [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 6.289 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 6.291 * [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 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.302 * [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 6.303 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.304 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 6.305 * [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 6.305 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.315 * [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 6.316 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 6.319 * [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 6.319 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.337 * [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 6.338 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.339 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 6.343 * [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 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 6.343 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (/ 1 (- N)))) into (pow (/ 1 (pow N 2)) 1/3) 6.343 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 6.343 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.343 * [taylor]: Taking taylor expansion of 1/3 in N 6.343 * [backup-simplify]: Simplify 1/3 into 1/3 6.343 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.343 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.343 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.343 * [taylor]: Taking taylor expansion of N in N 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 1 into 1 6.343 * [backup-simplify]: Simplify (* 1 1) into 1 6.344 * [backup-simplify]: Simplify (/ 1 1) into 1 6.344 * [backup-simplify]: Simplify (log 1) into 0 6.344 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.344 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.344 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.344 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 6.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 6.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 6.344 * [taylor]: Taking taylor expansion of 1/3 in N 6.344 * [backup-simplify]: Simplify 1/3 into 1/3 6.344 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 6.344 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.344 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.344 * [taylor]: Taking taylor expansion of N in N 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (* 1 1) into 1 6.345 * [backup-simplify]: Simplify (/ 1 1) into 1 6.345 * [backup-simplify]: Simplify (log 1) into 0 6.345 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.345 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.345 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.346 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.347 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.348 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 6.348 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.351 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.352 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 6.352 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.356 * [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 6.356 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.357 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 6.358 * [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 6.358 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.365 * [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 6.365 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 6.368 * [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 6.368 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.378 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.379 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 6.386 * [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 6.386 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.405 * [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 6.405 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 6.410 * [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 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify (pow (/ 1 (- N)) -2/3) into (pow (/ -1 N) -2/3) 6.411 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 6.411 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 6.411 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 6.411 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 6.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 6.411 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 6.411 * [taylor]: Taking taylor expansion of 1/3 in N 6.411 * [backup-simplify]: Simplify 1/3 into 1/3 6.411 * [taylor]: Taking taylor expansion of (log N) in N 6.411 * [taylor]: Taking taylor expansion of N in N 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [backup-simplify]: Simplify (log 1) into 0 6.412 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.412 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.412 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.412 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 6.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 6.412 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 6.412 * [taylor]: Taking taylor expansion of 1/3 in N 6.412 * [backup-simplify]: Simplify 1/3 into 1/3 6.412 * [taylor]: Taking taylor expansion of (log N) in N 6.412 * [taylor]: Taking taylor expansion of N in N 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify 1 into 1 6.412 * [backup-simplify]: Simplify (log 1) into 0 6.413 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.413 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.413 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.413 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.414 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.414 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 6.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.415 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.416 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 6.418 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.418 * [backup-simplify]: Simplify 0 into 0 6.420 * [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 6.421 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.422 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 6.422 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.428 * [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 6.428 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.429 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 6.431 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.431 * [backup-simplify]: Simplify 0 into 0 6.439 * [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 6.440 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.441 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 6.443 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.443 * [backup-simplify]: Simplify 0 into 0 6.459 * [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 6.459 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 6.467 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.468 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 6.468 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 6.468 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.468 * [taylor]: Taking taylor expansion of 1/3 in N 6.468 * [backup-simplify]: Simplify 1/3 into 1/3 6.468 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.468 * [taylor]: Taking taylor expansion of N in N 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify 1 into 1 6.468 * [backup-simplify]: Simplify (/ 1 1) into 1 6.469 * [backup-simplify]: Simplify (log 1) into 0 6.469 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.469 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.469 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.469 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.469 * [taylor]: Taking taylor expansion of 1/3 in N 6.469 * [backup-simplify]: Simplify 1/3 into 1/3 6.469 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.469 * [taylor]: Taking taylor expansion of N in N 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [backup-simplify]: Simplify (/ 1 1) into 1 6.470 * [backup-simplify]: Simplify (log 1) into 0 6.470 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.470 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.470 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.470 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 6.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.472 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.473 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 6.473 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.473 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.477 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.477 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.479 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.485 * [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 6.485 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.486 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.488 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.499 * [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 6.500 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.501 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.502 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.502 * [backup-simplify]: Simplify 0 into 0 6.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.514 * [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 6.514 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.518 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.518 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.536 * [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 6.537 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 6.543 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 6.543 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 6.543 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 6.543 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 6.543 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.543 * [taylor]: Taking taylor expansion of 1/3 in N 6.543 * [backup-simplify]: Simplify 1/3 into 1/3 6.543 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.543 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.544 * [taylor]: Taking taylor expansion of N in N 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [backup-simplify]: Simplify (/ 1 1) into 1 6.544 * [backup-simplify]: Simplify (log 1) into 0 6.545 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.545 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.545 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.545 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.545 * [taylor]: Taking taylor expansion of -1 in N 6.545 * [backup-simplify]: Simplify -1 into -1 6.545 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.546 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.546 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 6.546 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 6.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 6.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 6.546 * [taylor]: Taking taylor expansion of 1/3 in N 6.546 * [backup-simplify]: Simplify 1/3 into 1/3 6.546 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.546 * [taylor]: Taking taylor expansion of N in N 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 1 into 1 6.547 * [backup-simplify]: Simplify (/ 1 1) into 1 6.547 * [backup-simplify]: Simplify (log 1) into 0 6.548 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.548 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.548 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.548 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.548 * [taylor]: Taking taylor expansion of -1 in N 6.548 * [backup-simplify]: Simplify -1 into -1 6.548 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.549 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.549 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 6.550 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.552 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.553 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 6.554 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.554 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 6.554 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.559 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.560 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.561 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.561 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 6.561 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.565 * [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 6.566 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.566 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.567 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.568 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 6.568 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.580 * [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 6.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.583 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.584 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.595 * [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 6.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.600 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.601 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.621 * [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 6.622 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 6.629 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.630 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 6.631 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 6.631 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.631 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.631 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 6.632 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.632 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.632 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 6.632 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.632 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.633 * [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))) 6.633 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 6.633 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.633 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.633 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 6.633 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.634 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 6.635 * [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)))) 6.635 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) in (N) around 0 6.635 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) in N 6.636 * [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)))) 6.636 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) in N 6.637 * [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)))) 6.638 * [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)))) 6.638 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify 0 into 0 6.640 * [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))))) 6.640 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 6.640 * [backup-simplify]: Simplify (* (* (+ N 1) (cbrt (* N N))) (cbrt N)) into (* (+ N 1) N) 6.640 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 6.640 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 6.640 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.640 * [taylor]: Taking taylor expansion of N in N 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [taylor]: Taking taylor expansion of 1 in N 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [taylor]: Taking taylor expansion of N in N 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 6.640 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.640 * [taylor]: Taking taylor expansion of N in N 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [taylor]: Taking taylor expansion of 1 in N 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [taylor]: Taking taylor expansion of N in N 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify 1 into 1 6.641 * [backup-simplify]: Simplify (+ 0 1) into 1 6.641 * [backup-simplify]: Simplify (* 1 0) into 0 6.641 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify (+ 1 0) into 1 6.642 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 6.642 * [backup-simplify]: Simplify 1 into 1 6.643 * [backup-simplify]: Simplify (+ 0 0) into 0 6.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 6.643 * [backup-simplify]: Simplify 1 into 1 6.644 * [backup-simplify]: Simplify (+ 0 0) into 0 6.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify (+ 0 0) into 0 6.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.646 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify (+ 0 0) into 0 6.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.648 * [backup-simplify]: Simplify 0 into 0 6.648 * [backup-simplify]: Simplify (+ 0 0) into 0 6.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify (+ 0 0) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify (+ 0 0) into 0 6.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.654 * [backup-simplify]: Simplify 0 into 0 6.654 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 6.654 * [backup-simplify]: Simplify (* (* (+ (/ 1 N) 1) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (/ 1 N))) into (/ (+ (/ 1 N) 1) N) 6.654 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 6.654 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 6.654 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.654 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.654 * [taylor]: Taking taylor expansion of N in N 6.654 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (/ 1 1) into 1 6.655 * [taylor]: Taking taylor expansion of 1 in N 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [taylor]: Taking taylor expansion of N in N 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (+ 1 0) into 1 6.656 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 6.656 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.656 * [taylor]: Taking taylor expansion of N in N 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [taylor]: Taking taylor expansion of 1 in N 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [taylor]: Taking taylor expansion of N in N 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (+ 1 0) into 1 6.657 * [backup-simplify]: Simplify (/ 1 1) into 1 6.657 * [backup-simplify]: Simplify 1 into 1 6.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.658 * [backup-simplify]: Simplify (+ 0 1) into 1 6.659 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.659 * [backup-simplify]: Simplify 1 into 1 6.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.660 * [backup-simplify]: Simplify (+ 0 0) into 0 6.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.662 * [backup-simplify]: Simplify (+ 0 0) into 0 6.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.663 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.664 * [backup-simplify]: Simplify (+ 0 0) into 0 6.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.665 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.667 * [backup-simplify]: Simplify (+ 0 0) into 0 6.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.669 * [backup-simplify]: Simplify (+ 0 0) into 0 6.670 * [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 6.670 * [backup-simplify]: Simplify 0 into 0 6.671 * [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 6.671 * [backup-simplify]: Simplify (+ 0 0) into 0 6.672 * [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 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 6.673 * [backup-simplify]: Simplify (* (* (+ (/ 1 (- N)) 1) (cbrt (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (/ 1 (- N)))) into (/ (* (cbrt -1) (- 1 (/ 1 N))) N) 6.673 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (- 1 (/ 1 N))) N) in (N) around 0 6.673 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1 (/ 1 N))) N) in N 6.673 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1 (/ 1 N))) in N 6.673 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.673 * [taylor]: Taking taylor expansion of -1 in N 6.673 * [backup-simplify]: Simplify -1 into -1 6.673 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.674 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.674 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.674 * [taylor]: Taking taylor expansion of 1 in N 6.674 * [backup-simplify]: Simplify 1 into 1 6.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.674 * [taylor]: Taking taylor expansion of N in N 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 1 into 1 6.674 * [backup-simplify]: Simplify (/ 1 1) into 1 6.674 * [taylor]: Taking taylor expansion of N in N 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (- 1) into -1 6.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.676 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 6.678 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 6.678 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1 (/ 1 N))) N) in N 6.678 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1 (/ 1 N))) in N 6.678 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.678 * [taylor]: Taking taylor expansion of -1 in N 6.678 * [backup-simplify]: Simplify -1 into -1 6.678 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.679 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.679 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.679 * [taylor]: Taking taylor expansion of 1 in N 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.679 * [taylor]: Taking taylor expansion of N in N 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.680 * [backup-simplify]: Simplify (/ 1 1) into 1 6.680 * [taylor]: Taking taylor expansion of N in N 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify 1 into 1 6.680 * [backup-simplify]: Simplify (- 1) into -1 6.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.681 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 6.683 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 6.684 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 6.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.685 * [backup-simplify]: Simplify (- 0) into 0 6.685 * [backup-simplify]: Simplify (+ 1 0) into 1 6.693 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 -1)) into (cbrt -1) 6.695 * [backup-simplify]: Simplify (- (/ (cbrt -1) 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)))) into (cbrt -1) 6.695 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (- 0) into 0 6.696 * [backup-simplify]: Simplify (+ 0 0) into 0 6.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.698 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 -1))) into 0 6.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)))) into 0 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.699 * [backup-simplify]: Simplify (- 0) into 0 6.700 * [backup-simplify]: Simplify (+ 0 0) into 0 6.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.701 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 6.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.702 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (- 0) into 0 6.703 * [backup-simplify]: Simplify (+ 0 0) into 0 6.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.705 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.707 * [backup-simplify]: Simplify (- 0) into 0 6.707 * [backup-simplify]: Simplify (+ 0 0) into 0 6.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.709 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 6.710 * [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 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.710 * [backup-simplify]: Simplify (- 0) into 0 6.711 * [backup-simplify]: Simplify (+ 0 0) into 0 6.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.713 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 6.714 * [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 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [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 6.714 * [backup-simplify]: Simplify (- 0) into 0 6.715 * [backup-simplify]: Simplify (+ 0 0) into 0 6.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.717 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 6.717 * [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 6.718 * [backup-simplify]: Simplify 0 into 0 6.719 * [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)))) 6.720 * * * [progress]: simplifying candidates 6.720 * * * * [progress]: [ 1 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 2 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 3 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 4 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 5 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 6 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 7 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 8 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 9 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 10 / 66 ] simplifiying candidate #real (real->posit16 (cbrt (* N N))))) (cbrt N)))))> 6.720 * * * * [progress]: [ 11 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 12 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 13 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 14 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 15 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 16 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 17 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 18 / 66 ] simplifiying candidate # 6.720 * * * * [progress]: [ 19 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 20 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 21 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 22 / 66 ] simplifiying candidate #real (real->posit16 (cbrt N)))))))> 6.721 * * * * [progress]: [ 23 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 24 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 25 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 26 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 27 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 28 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 29 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 30 / 66 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))))))> 6.721 * * * * [progress]: [ 31 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 32 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 33 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 34 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 35 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 36 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 37 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 38 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 39 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 40 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 41 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 42 / 66 ] simplifiying candidate # 6.721 * * * * [progress]: [ 43 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 44 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 45 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 46 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 47 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 48 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 49 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 50 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 51 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 52 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 53 / 66 ] simplifiying candidate #real (real->posit16 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))))))> 6.722 * * * * [progress]: [ 54 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 55 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 56 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 57 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 58 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 59 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 60 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 61 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 62 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 63 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 64 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 65 / 66 ] simplifiying candidate # 6.722 * * * * [progress]: [ 66 / 66 ] simplifiying candidate # 6.723 * [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)))) 6.724 * * [simplify]: iteration 0: 103 enodes 6.747 * * [simplify]: iteration 1: 245 enodes 6.830 * * [simplify]: iteration 2: 747 enodes 7.072 * * [simplify]: iteration 3: 2005 enodes 7.567 * * [simplify]: iteration complete: 2005 enodes 7.567 * * [simplify]: Extracting #0: cost 51 inf + 0 7.568 * * [simplify]: Extracting #1: cost 364 inf + 205 7.572 * * [simplify]: Extracting #2: cost 624 inf + 9215 7.589 * * [simplify]: Extracting #3: cost 406 inf + 70742 7.625 * * [simplify]: Extracting #4: cost 117 inf + 146716 7.674 * * [simplify]: Extracting #5: cost 5 inf + 193971 7.711 * * [simplify]: Extracting #6: cost 0 inf + 195766 7.748 * [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))) (* 1/3 (log N)) (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 1) (cbrt N)) (cbrt (* N N)))))) (exp (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))))) (* (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))))) (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N))))))) (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))))) (* (* (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N))))) (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))))) (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))))) (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))))) (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))))) (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))))) (* (* (+ N 1) (cbrt N)) (cbrt (* N N))) (* (* (+ N 1) (cbrt N)) (cbrt (* N N))) (log (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))) (log (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))) (log (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))) (exp (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))) (* N (* (* (* N (+ N 1)) (* N (+ N 1))) (+ N 1))) (* N (* (* (* (+ N 1) (cbrt (* N N))) (* (+ N 1) (cbrt (* N N)))) (* (+ N 1) (cbrt (* N N))))) (* (cbrt (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))) (cbrt (* (* (+ N 1) (cbrt N)) (cbrt (* N N))))) (cbrt (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))) (* N (* (* (* (+ N 1) (cbrt (* N N))) (* (+ N 1) (cbrt (* N N)))) (* (+ N 1) (cbrt (* N N))))) (sqrt (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))) (sqrt (* (* (+ N 1) (cbrt N)) (cbrt (* N N)))) (* (* (+ N 1) (cbrt (* N N))) (cbrt (* (cbrt N) (cbrt N)))) (* (* (cbrt (sqrt N)) (+ N 1)) (cbrt (* N N))) (* (+ N 1) (cbrt (* N N))) (* (* (* (+ N 1) (cbrt (* N N))) (cbrt (cbrt N))) (cbrt (cbrt N))) (* (* (sqrt (cbrt N)) (+ N 1)) (cbrt (* N N))) (* (+ N 1) (cbrt (* N N))) (* (cbrt (* N N)) (cbrt N)) (* (cbrt N) (+ (cbrt (* N N)) (* (* (cbrt (* N N)) N) (* N N)))) (* (* (cbrt N) (- (* N N) 1)) (cbrt (* N N))) (real->posit16 (* (* (+ N 1) (cbrt N)) (cbrt (* N 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 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (- 1 (* (cbrt -1) (+ N (* N N))))) (+ N (* N N)) (+ N (* N N)) (- (* (cbrt -1) (+ N (* N N)))) 7.754 * * * [progress]: adding candidates to table 8.426 * [progress]: [Phase 3 of 3] Extracting. 8.426 * * [regime]: Finding splitpoints for: (# # # # # #) 8.427 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.427 * * * * [regimes]: Trying to branch on N from (# # # # # #) 8.476 * * * [regime]: Found split indices: #