54.356 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.059 * * * [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 1: (6 enodes) 0.063 * * [simplify]: iteration 2: (11 enodes) 0.064 * * [simplify]: iteration 3: (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 0.066 * * [simplify]: Extracting #4: cost 0 inf + 735 0.066 * [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 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.090 * * * [progress]: generating series expansions 0.090 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.090 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.090 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.090 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.090 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.091 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.091 * [taylor]: Taking taylor expansion of (atan N) in N 0.091 * [backup-simplify]: Simplify (atan N) into (atan N) 0.091 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.091 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.091 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.091 * [taylor]: Taking taylor expansion of (atan N) in N 0.091 * [backup-simplify]: Simplify (atan N) into (atan N) 0.091 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.091 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.091 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.096 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.096 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.096 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.096 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.096 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.096 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.096 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.096 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.096 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.096 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.097 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.097 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.097 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.097 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.097 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.102 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.102 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.102 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.102 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.102 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.102 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.102 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.102 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.102 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.102 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.103 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.103 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.103 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.108 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.108 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.108 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.108 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.108 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.108 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.108 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.108 * [backup-simplify]: Simplify 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 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.108 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.108 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.109 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.109 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.109 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.109 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.109 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.109 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.109 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.109 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.109 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.109 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.110 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.110 * * * [progress]: simplifying candidates 0.110 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.110 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.111 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.111 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.111 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.112 * [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)) 0.112 * * [simplify]: iteration 1: (41 enodes) 0.127 * * [simplify]: iteration 2: (77 enodes) 0.172 * * [simplify]: iteration 3: (151 enodes) 0.232 * * [simplify]: iteration 4: (288 enodes) 0.320 * * [simplify]: iteration 5: (628 enodes) 0.658 * * [simplify]: iteration 6: (1658 enodes) 1.784 * * [simplify]: Extracting #0: cost 25 inf + 0 1.785 * * [simplify]: Extracting #1: cost 247 inf + 1 1.792 * * [simplify]: Extracting #2: cost 984 inf + 2510 1.823 * * [simplify]: Extracting #3: cost 812 inf + 109051 1.938 * * [simplify]: Extracting #4: cost 276 inf + 413344 2.074 * * [simplify]: Extracting #5: cost 13 inf + 637598 2.208 * * [simplify]: Extracting #6: cost 0 inf + 649761 2.328 * * [simplify]: Extracting #7: cost 0 inf + 649499 2.472 * [simplify]: Simplified to: 1 (+ 1 (+ (* N N) N)) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (* (atan N) (atan N)) (atan N))) (+ (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N)))) (* (atan N) (atan N))) (- (atan N)) (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) (+ (atan N) (atan (+ 1 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (log (atan (+ 1 N))) (exp (atan (+ 1 N))) (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (real->posit16 (atan (+ 1 N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan (+ 1 N)) (atan (+ 1 N)) 2.474 * * * [progress]: adding candidates to table 2.689 * * [progress]: iteration 2 / 4 2.690 * * * [progress]: picking best candidate 2.691 * * * * [pick]: Picked # 2.691 * * * [progress]: localizing error 2.703 * * * [progress]: generating rewritten candidates 2.703 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.703 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 2.729 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.735 * * * [progress]: generating series expansions 2.736 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.736 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.736 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.736 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.736 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.736 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.736 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.736 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.736 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.736 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.736 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.737 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.737 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.737 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.737 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.737 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.737 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.737 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.737 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.737 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.738 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.738 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.738 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 2.738 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 2.738 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 2.738 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.738 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.738 * [taylor]: Taking taylor expansion of N in N 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of 1 in N 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of N in N 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.738 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.738 * [taylor]: Taking taylor expansion of N in N 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of 1 in N 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [taylor]: Taking taylor expansion of N in N 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (+ 0 1) into 1 2.739 * [backup-simplify]: Simplify (* 1 0) into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (+ 1 0) into 1 2.740 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (+ 0 0) into 0 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 2.751 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 2.751 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 2.751 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.751 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.751 * [taylor]: Taking taylor expansion of N in N 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.752 * [taylor]: Taking taylor expansion of 1 in N 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [taylor]: Taking taylor expansion of N in N 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (+ 1 0) into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.752 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.752 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.752 * [taylor]: Taking taylor expansion of N in N 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (/ 1 1) into 1 2.753 * [taylor]: Taking taylor expansion of 1 in N 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of N in N 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (+ 1 0) into 1 2.753 * [backup-simplify]: Simplify (/ 1 1) into 1 2.753 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ 0 1) into 1 2.754 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (+ 0 0) into 0 2.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 2.768 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 2.768 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 2.768 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.768 * [taylor]: Taking taylor expansion of -1 in N 2.768 * [backup-simplify]: Simplify -1 into -1 2.768 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.768 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.768 * [taylor]: Taking taylor expansion of 1 in N 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.768 * [taylor]: Taking taylor expansion of N in N 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (/ 1 1) into 1 2.769 * [taylor]: Taking taylor expansion of N in N 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (- 1) into -1 2.769 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.770 * [backup-simplify]: Simplify (/ -1 1) into -1 2.770 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.770 * [taylor]: Taking taylor expansion of -1 in N 2.770 * [backup-simplify]: Simplify -1 into -1 2.770 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.770 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.770 * [taylor]: Taking taylor expansion of 1 in N 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.770 * [taylor]: Taking taylor expansion of N in N 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (/ 1 1) into 1 2.771 * [taylor]: Taking taylor expansion of N in N 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (- 1) into -1 2.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.772 * [backup-simplify]: Simplify (/ -1 1) into -1 2.773 * [backup-simplify]: Simplify (* -1 -1) into 1 2.773 * [backup-simplify]: Simplify 1 into 1 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (- 0) into 0 2.774 * [backup-simplify]: Simplify (+ 1 0) into 1 2.775 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 2.776 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.776 * [backup-simplify]: Simplify -1 into -1 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (- 0) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify (- 0) into 0 2.785 * [backup-simplify]: Simplify (+ 0 0) into 0 2.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (- 0) into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (- 0) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.793 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 2.796 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.796 * [backup-simplify]: Simplify (+ 1 (* (+ N 1) N)) into (+ N (+ (pow N 2) 1)) 2.796 * [approximate]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0 2.796 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 2.796 * [taylor]: Taking taylor expansion of N in N 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.796 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.796 * [taylor]: Taking taylor expansion of N in N 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [taylor]: Taking taylor expansion of 1 in N 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 2.796 * [taylor]: Taking taylor expansion of N in N 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.796 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.796 * [taylor]: Taking taylor expansion of N in N 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [taylor]: Taking taylor expansion of 1 in N 2.796 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (+ 0 1) into 1 2.797 * [backup-simplify]: Simplify (+ 0 1) into 1 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [backup-simplify]: Simplify (+ 1 0) into 1 2.798 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (* 1 1) into 1 2.798 * [backup-simplify]: Simplify (+ 1 0) into 1 2.798 * [backup-simplify]: Simplify (+ 0 1) into 1 2.798 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 2.799 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) into (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2.799 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in (N) around 0 2.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 2.799 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.799 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.799 * [taylor]: Taking taylor expansion of N in N 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (* 1 1) into 1 2.799 * [backup-simplify]: Simplify (/ 1 1) into 1 2.799 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.799 * [taylor]: Taking taylor expansion of N in N 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (/ 1 1) into 1 2.800 * [taylor]: Taking taylor expansion of 1 in N 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.800 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.800 * [taylor]: Taking taylor expansion of N in N 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (* 1 1) into 1 2.800 * [backup-simplify]: Simplify (/ 1 1) into 1 2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.800 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.800 * [taylor]: Taking taylor expansion of N in N 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (/ 1 1) into 1 2.800 * [taylor]: Taking taylor expansion of 1 in N 2.800 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (+ 1 0) into 1 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (+ 1 0) into 1 2.802 * [backup-simplify]: Simplify (+ 0 1) into 1 2.802 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify (+ 0 1) into 1 2.804 * [backup-simplify]: Simplify (+ 0 1) into 1 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 2.805 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2.805 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in (N) around 0 2.805 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.805 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.805 * [taylor]: Taking taylor expansion of N in N 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (* 1 1) into 1 2.805 * [backup-simplify]: Simplify (/ 1 1) into 1 2.805 * [taylor]: Taking taylor expansion of 1 in N 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.805 * [taylor]: Taking taylor expansion of N in N 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 2.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.806 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.806 * [taylor]: Taking taylor expansion of N in N 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.806 * [taylor]: Taking taylor expansion of 1 in N 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.806 * [taylor]: Taking taylor expansion of N in N 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [backup-simplify]: Simplify (+ 1 0) into 1 2.807 * [backup-simplify]: Simplify (+ 1 0) into 1 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (- 1) into -1 2.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.809 * [backup-simplify]: Simplify -1 into -1 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (+ 0 1) into 1 2.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify (- 0) into 0 2.811 * [backup-simplify]: Simplify (+ 1 0) into 1 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 2.811 * * * [progress]: simplifying candidates 2.811 * * * * [progress]: [ 1 / 51 ] simplifiying candidate # 2.811 * * * * [progress]: [ 2 / 51 ] simplifiying candidate # 2.811 * * * * [progress]: [ 3 / 51 ] simplifiying candidate # 2.811 * * * * [progress]: [ 4 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 5 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 6 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 7 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 8 / 51 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.812 * * * * [progress]: [ 9 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 10 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 11 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 12 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 13 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 14 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 15 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 16 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 17 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 18 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 19 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 20 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 21 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 22 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 23 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 24 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 25 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 26 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 27 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 28 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 29 / 51 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 2.812 * * * * [progress]: [ 30 / 51 ] simplifiying candidate # 2.812 * * * * [progress]: [ 31 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 32 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 33 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 34 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 35 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 36 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 37 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 38 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 39 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 40 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 41 / 51 ] simplifiying candidate #real (real->posit16 (+ 1 (* (+ N 1) N))))))> 2.813 * * * * [progress]: [ 42 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 43 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 44 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 45 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 46 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 47 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 48 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 49 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 50 / 51 ] simplifiying candidate # 2.813 * * * * [progress]: [ 51 / 51 ] simplifiying candidate # 2.814 * [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)) (* (exp 1) (exp (* (+ N 1) N))) (log (+ 1 (* (+ N 1) N))) (exp (+ 1 (* (+ N 1) N))) (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N))) (* (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) (+ 1 (* (+ N 1) N))) (sqrt (+ 1 (* (+ N 1) N))) (sqrt (+ 1 (* (+ N 1) N))) (+ (pow 1 3) (pow (* (+ N 1) N) 3)) (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N)))) (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N))) (- 1 (* (+ N 1) N)) (real->posit16 (+ 1 (* (+ 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)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) 2.814 * * [simplify]: iteration 1: (72 enodes) 2.831 * * [simplify]: iteration 2: (176 enodes) 2.913 * * [simplify]: iteration 3: (476 enodes) 3.289 * * [simplify]: iteration 4: (1536 enodes) 8.003 * * [simplify]: Extracting #0: cost 36 inf + 0 8.004 * * [simplify]: Extracting #1: cost 323 inf + 0 8.009 * * [simplify]: Extracting #2: cost 1013 inf + 5565 8.029 * * [simplify]: Extracting #3: cost 772 inf + 71250 8.080 * * [simplify]: Extracting #4: cost 107 inf + 223446 8.149 * * [simplify]: Extracting #5: cost 1 inf + 250338 8.216 * * [simplify]: Extracting #6: cost 0 inf + 250413 8.285 * [simplify]: Simplified to: (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 (* N N)) (log (+ N (* N N))) (log (+ N (* N N))) (exp (+ N (* N N))) (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (cbrt (+ N (* N N))) (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))) (sqrt (+ N (* N N))) (sqrt (+ N (* N N))) (* (sqrt N) (sqrt (+ N 1))) (* (sqrt N) (sqrt (+ N 1))) (* (+ (cbrt N) (* N (cbrt N))) (cbrt N)) (+ (* N (sqrt N)) (sqrt N)) (+ N 1) (* (cbrt (+ N 1)) N) (* N (sqrt (+ N 1))) (+ N (* N N)) (+ N (* N N)) (+ N (* (* N N) (* N N))) (- (* (* N N) N) N) (real->posit16 (+ N (* N N))) (exp (+ 1 (* (+ N 1) N))) (log (+ 1 (* (+ N 1) N))) (exp (+ 1 (* (+ N 1) N))) (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N))) (* (+ 1 (* (+ N 1) N)) (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N)))) (sqrt (+ 1 (* (+ N 1) N))) (sqrt (+ 1 (* (+ N 1) N))) (+ (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (- (* (+ N 1) N) 1)) (- 1 (* (* (+ N 1) N) (* (+ N 1) N))) (- 1 (* (+ N 1) N)) (real->posit16 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N)) 8.287 * * * [progress]: adding candidates to table 8.567 * * [progress]: iteration 3 / 4 8.567 * * * [progress]: picking best candidate 8.577 * * * * [pick]: Picked # 8.577 * * * [progress]: localizing error 8.598 * * * [progress]: generating rewritten candidates 8.598 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 8.603 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 8.608 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 8.613 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.614 * * * [progress]: generating series expansions 8.614 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 8.615 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3) 8.615 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 8.615 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 8.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 8.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 8.615 * [taylor]: Taking taylor expansion of 1/3 in N 8.615 * [backup-simplify]: Simplify 1/3 into 1/3 8.615 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 8.615 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.615 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.615 * [taylor]: Taking taylor expansion of N in N 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.615 * [taylor]: Taking taylor expansion of 1 in N 8.615 * [backup-simplify]: Simplify 1 into 1 8.615 * [taylor]: Taking taylor expansion of N in N 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.616 * [backup-simplify]: Simplify (+ 0 1) into 1 8.616 * [backup-simplify]: Simplify (* 1 0) into 0 8.616 * [backup-simplify]: Simplify (+ 1 0) into 1 8.617 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 8.617 * [backup-simplify]: Simplify (log 1) into 0 8.617 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.617 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.618 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.618 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 8.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 8.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 8.618 * [taylor]: Taking taylor expansion of 1/3 in N 8.618 * [backup-simplify]: Simplify 1/3 into 1/3 8.618 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 8.618 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.618 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.618 * [taylor]: Taking taylor expansion of N in N 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [taylor]: Taking taylor expansion of 1 in N 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [taylor]: Taking taylor expansion of N in N 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (+ 0 1) into 1 8.618 * [backup-simplify]: Simplify (* 1 0) into 0 8.619 * [backup-simplify]: Simplify (+ 1 0) into 1 8.619 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 8.619 * [backup-simplify]: Simplify (log 1) into 0 8.620 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.620 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.620 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.620 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.620 * [backup-simplify]: Simplify (+ 0 0) into 0 8.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 8.621 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.622 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.622 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 8.622 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 8.622 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 8.623 * [backup-simplify]: Simplify (+ 0 0) into 0 8.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.625 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.626 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 8.627 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) 8.627 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 8.627 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) 8.627 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 8.627 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 8.627 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 8.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 8.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 8.627 * [taylor]: Taking taylor expansion of 1/3 in N 8.627 * [backup-simplify]: Simplify 1/3 into 1/3 8.627 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 8.627 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.627 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.627 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.627 * [taylor]: Taking taylor expansion of N in N 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (/ 1 1) into 1 8.628 * [taylor]: Taking taylor expansion of 1 in N 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [taylor]: Taking taylor expansion of N in N 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (+ 1 0) into 1 8.628 * [backup-simplify]: Simplify (/ 1 1) into 1 8.628 * [backup-simplify]: Simplify (log 1) into 0 8.629 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.629 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.629 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.629 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 8.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 8.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 8.629 * [taylor]: Taking taylor expansion of 1/3 in N 8.629 * [backup-simplify]: Simplify 1/3 into 1/3 8.629 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 8.629 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.629 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.629 * [taylor]: Taking taylor expansion of N in N 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.629 * [backup-simplify]: Simplify (/ 1 1) into 1 8.629 * [taylor]: Taking taylor expansion of 1 in N 8.629 * [backup-simplify]: Simplify 1 into 1 8.629 * [taylor]: Taking taylor expansion of N in N 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (+ 1 0) into 1 8.630 * [backup-simplify]: Simplify (/ 1 1) into 1 8.630 * [backup-simplify]: Simplify (log 1) into 0 8.630 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.630 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.630 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.631 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.631 * [backup-simplify]: Simplify (+ 0 1) into 1 8.632 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.633 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.633 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.633 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 8.634 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 8.634 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.635 * [backup-simplify]: Simplify (+ 0 0) into 0 8.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.637 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.637 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.637 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 8.638 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 8.638 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 8.639 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 8.639 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 8.639 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 8.639 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.639 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 8.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 8.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 8.639 * [taylor]: Taking taylor expansion of 1/3 in N 8.639 * [backup-simplify]: Simplify 1/3 into 1/3 8.639 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 8.639 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 8.639 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.639 * [taylor]: Taking taylor expansion of 1 in N 8.639 * [backup-simplify]: Simplify 1 into 1 8.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.639 * [taylor]: Taking taylor expansion of N in N 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify 1 into 1 8.639 * [backup-simplify]: Simplify (/ 1 1) into 1 8.639 * [taylor]: Taking taylor expansion of N in N 8.639 * [backup-simplify]: Simplify 0 into 0 8.640 * [backup-simplify]: Simplify 1 into 1 8.640 * [backup-simplify]: Simplify (- 1) into -1 8.640 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.640 * [backup-simplify]: Simplify (/ -1 1) into -1 8.641 * [backup-simplify]: Simplify (log -1) into (log -1) 8.641 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.641 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.642 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.642 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.642 * [taylor]: Taking taylor expansion of -1 in N 8.642 * [backup-simplify]: Simplify -1 into -1 8.642 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.642 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.643 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.643 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 8.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 8.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 8.643 * [taylor]: Taking taylor expansion of 1/3 in N 8.643 * [backup-simplify]: Simplify 1/3 into 1/3 8.643 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 8.643 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 8.643 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.643 * [taylor]: Taking taylor expansion of 1 in N 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.643 * [taylor]: Taking taylor expansion of N in N 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (/ 1 1) into 1 8.643 * [taylor]: Taking taylor expansion of N in N 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (- 1) into -1 8.644 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.644 * [backup-simplify]: Simplify (/ -1 1) into -1 8.644 * [backup-simplify]: Simplify (log -1) into (log -1) 8.645 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.645 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.645 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.645 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.645 * [taylor]: Taking taylor expansion of -1 in N 8.645 * [backup-simplify]: Simplify -1 into -1 8.646 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.646 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.647 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.647 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (- 0) into 0 8.648 * [backup-simplify]: Simplify (+ 1 0) into 1 8.649 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 8.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.650 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.656 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 8.657 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.658 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.658 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.660 * [backup-simplify]: Simplify (- 0) into 0 8.660 * [backup-simplify]: Simplify (+ 0 0) into 0 8.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.663 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.664 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 8.665 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.666 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.667 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.669 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.670 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 8.670 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3) 8.670 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 8.670 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 8.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 8.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 8.670 * [taylor]: Taking taylor expansion of 1/3 in N 8.670 * [backup-simplify]: Simplify 1/3 into 1/3 8.670 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 8.670 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.670 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.670 * [taylor]: Taking taylor expansion of N in N 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [taylor]: Taking taylor expansion of 1 in N 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [taylor]: Taking taylor expansion of N in N 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify (+ 0 1) into 1 8.670 * [backup-simplify]: Simplify (* 1 0) into 0 8.671 * [backup-simplify]: Simplify (+ 1 0) into 1 8.671 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 8.671 * [backup-simplify]: Simplify (log 1) into 0 8.672 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.672 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.672 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.672 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 8.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 8.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 8.672 * [taylor]: Taking taylor expansion of 1/3 in N 8.672 * [backup-simplify]: Simplify 1/3 into 1/3 8.672 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 8.672 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.672 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.672 * [taylor]: Taking taylor expansion of N in N 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 1 into 1 8.672 * [taylor]: Taking taylor expansion of 1 in N 8.672 * [backup-simplify]: Simplify 1 into 1 8.672 * [taylor]: Taking taylor expansion of N in N 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 1 into 1 8.672 * [backup-simplify]: Simplify (+ 0 1) into 1 8.672 * [backup-simplify]: Simplify (* 1 0) into 0 8.673 * [backup-simplify]: Simplify (+ 1 0) into 1 8.673 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 8.673 * [backup-simplify]: Simplify (log 1) into 0 8.674 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.674 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.674 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.674 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.674 * [backup-simplify]: Simplify (+ 0 0) into 0 8.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 8.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.676 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.676 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 8.676 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 8.676 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 8.677 * [backup-simplify]: Simplify (+ 0 0) into 0 8.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.679 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.679 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.680 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 8.681 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) 8.681 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 8.681 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) 8.681 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 8.681 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 8.681 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 8.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 8.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 8.681 * [taylor]: Taking taylor expansion of 1/3 in N 8.681 * [backup-simplify]: Simplify 1/3 into 1/3 8.681 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 8.681 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.681 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.681 * [taylor]: Taking taylor expansion of N in N 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 1 into 1 8.681 * [backup-simplify]: Simplify (/ 1 1) into 1 8.681 * [taylor]: Taking taylor expansion of 1 in N 8.681 * [backup-simplify]: Simplify 1 into 1 8.681 * [taylor]: Taking taylor expansion of N in N 8.681 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.682 * [backup-simplify]: Simplify (+ 1 0) into 1 8.682 * [backup-simplify]: Simplify (/ 1 1) into 1 8.682 * [backup-simplify]: Simplify (log 1) into 0 8.683 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.683 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.683 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.683 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 8.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 8.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 8.683 * [taylor]: Taking taylor expansion of 1/3 in N 8.683 * [backup-simplify]: Simplify 1/3 into 1/3 8.683 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 8.683 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.683 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.683 * [taylor]: Taking taylor expansion of N in N 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [backup-simplify]: Simplify (/ 1 1) into 1 8.683 * [taylor]: Taking taylor expansion of 1 in N 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [taylor]: Taking taylor expansion of N in N 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [backup-simplify]: Simplify (+ 1 0) into 1 8.684 * [backup-simplify]: Simplify (/ 1 1) into 1 8.684 * [backup-simplify]: Simplify (log 1) into 0 8.684 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.684 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.684 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.684 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.685 * [backup-simplify]: Simplify (+ 0 1) into 1 8.686 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.687 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.687 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 8.687 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 8.688 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 8.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.688 * [backup-simplify]: Simplify (+ 0 0) into 0 8.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.690 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.691 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.691 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 8.692 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 8.692 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 8.693 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 8.693 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 8.693 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 8.693 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.693 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 8.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 8.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 8.693 * [taylor]: Taking taylor expansion of 1/3 in N 8.693 * [backup-simplify]: Simplify 1/3 into 1/3 8.693 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 8.693 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 8.693 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.693 * [taylor]: Taking taylor expansion of 1 in N 8.693 * [backup-simplify]: Simplify 1 into 1 8.693 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.693 * [taylor]: Taking taylor expansion of N in N 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify 1 into 1 8.693 * [backup-simplify]: Simplify (/ 1 1) into 1 8.693 * [taylor]: Taking taylor expansion of N in N 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify 1 into 1 8.693 * [backup-simplify]: Simplify (- 1) into -1 8.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.694 * [backup-simplify]: Simplify (/ -1 1) into -1 8.694 * [backup-simplify]: Simplify (log -1) into (log -1) 8.695 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.695 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.695 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.695 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.695 * [taylor]: Taking taylor expansion of -1 in N 8.695 * [backup-simplify]: Simplify -1 into -1 8.696 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.696 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.696 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.696 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 8.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 8.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 8.696 * [taylor]: Taking taylor expansion of 1/3 in N 8.696 * [backup-simplify]: Simplify 1/3 into 1/3 8.696 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 8.696 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 8.696 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.696 * [taylor]: Taking taylor expansion of 1 in N 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.696 * [taylor]: Taking taylor expansion of N in N 8.696 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (/ 1 1) into 1 8.697 * [taylor]: Taking taylor expansion of N in N 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (- 1) into -1 8.697 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.697 * [backup-simplify]: Simplify (/ -1 1) into -1 8.698 * [backup-simplify]: Simplify (log -1) into (log -1) 8.698 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.698 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.699 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.699 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.699 * [taylor]: Taking taylor expansion of -1 in N 8.699 * [backup-simplify]: Simplify -1 into -1 8.699 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.700 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.700 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.701 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.701 * [backup-simplify]: Simplify (- 0) into 0 8.702 * [backup-simplify]: Simplify (+ 1 0) into 1 8.702 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 8.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.704 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.704 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 8.705 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.706 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.707 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.708 * [backup-simplify]: Simplify (- 0) into 0 8.708 * [backup-simplify]: Simplify (+ 0 0) into 0 8.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.711 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.712 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 8.713 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.714 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.715 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.717 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.717 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 8.718 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3) 8.718 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 8.718 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 8.718 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 8.718 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 8.718 * [taylor]: Taking taylor expansion of 1/3 in N 8.718 * [backup-simplify]: Simplify 1/3 into 1/3 8.718 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 8.718 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.718 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.718 * [taylor]: Taking taylor expansion of N in N 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify 1 into 1 8.718 * [taylor]: Taking taylor expansion of 1 in N 8.718 * [backup-simplify]: Simplify 1 into 1 8.718 * [taylor]: Taking taylor expansion of N in N 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify 1 into 1 8.718 * [backup-simplify]: Simplify (+ 0 1) into 1 8.718 * [backup-simplify]: Simplify (* 1 0) into 0 8.719 * [backup-simplify]: Simplify (+ 1 0) into 1 8.719 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 8.719 * [backup-simplify]: Simplify (log 1) into 0 8.720 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.720 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.720 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.720 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 8.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 8.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 8.720 * [taylor]: Taking taylor expansion of 1/3 in N 8.720 * [backup-simplify]: Simplify 1/3 into 1/3 8.720 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 8.720 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.720 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.720 * [taylor]: Taking taylor expansion of N in N 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [taylor]: Taking taylor expansion of 1 in N 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [taylor]: Taking taylor expansion of N in N 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (+ 0 1) into 1 8.720 * [backup-simplify]: Simplify (* 1 0) into 0 8.721 * [backup-simplify]: Simplify (+ 1 0) into 1 8.721 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 8.721 * [backup-simplify]: Simplify (log 1) into 0 8.722 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.722 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.722 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.722 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.722 * [backup-simplify]: Simplify (+ 0 0) into 0 8.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 8.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.723 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.724 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 8.724 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 8.724 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 8.725 * [backup-simplify]: Simplify (+ 0 0) into 0 8.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.727 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.728 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 8.728 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) 8.728 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 8.729 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) 8.729 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 8.729 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 8.729 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 8.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 8.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 8.729 * [taylor]: Taking taylor expansion of 1/3 in N 8.729 * [backup-simplify]: Simplify 1/3 into 1/3 8.729 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 8.729 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.729 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.729 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.729 * [taylor]: Taking taylor expansion of N in N 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify 1 into 1 8.729 * [backup-simplify]: Simplify (/ 1 1) into 1 8.729 * [taylor]: Taking taylor expansion of 1 in N 8.729 * [backup-simplify]: Simplify 1 into 1 8.729 * [taylor]: Taking taylor expansion of N in N 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (+ 1 0) into 1 8.730 * [backup-simplify]: Simplify (/ 1 1) into 1 8.730 * [backup-simplify]: Simplify (log 1) into 0 8.730 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.730 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.730 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.730 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 8.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 8.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 8.731 * [taylor]: Taking taylor expansion of 1/3 in N 8.731 * [backup-simplify]: Simplify 1/3 into 1/3 8.731 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 8.731 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.731 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.731 * [taylor]: Taking taylor expansion of N in N 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [backup-simplify]: Simplify (/ 1 1) into 1 8.731 * [taylor]: Taking taylor expansion of 1 in N 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [taylor]: Taking taylor expansion of N in N 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [backup-simplify]: Simplify (+ 1 0) into 1 8.731 * [backup-simplify]: Simplify (/ 1 1) into 1 8.732 * [backup-simplify]: Simplify (log 1) into 0 8.732 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.732 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.732 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.732 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.733 * [backup-simplify]: Simplify (+ 0 1) into 1 8.733 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.734 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.735 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 8.735 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 8.735 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 8.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.739 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.743 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 8.744 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 8.744 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 8.745 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 8.745 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 8.745 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 8.745 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.745 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 8.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 8.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 8.745 * [taylor]: Taking taylor expansion of 1/3 in N 8.745 * [backup-simplify]: Simplify 1/3 into 1/3 8.745 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 8.745 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 8.745 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.745 * [taylor]: Taking taylor expansion of 1 in N 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.745 * [taylor]: Taking taylor expansion of N in N 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [backup-simplify]: Simplify (/ 1 1) into 1 8.745 * [taylor]: Taking taylor expansion of N in N 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.746 * [backup-simplify]: Simplify (- 1) into -1 8.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.746 * [backup-simplify]: Simplify (/ -1 1) into -1 8.747 * [backup-simplify]: Simplify (log -1) into (log -1) 8.747 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.747 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.748 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.748 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.748 * [taylor]: Taking taylor expansion of -1 in N 8.748 * [backup-simplify]: Simplify -1 into -1 8.748 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.748 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.748 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.748 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 8.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 8.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 8.748 * [taylor]: Taking taylor expansion of 1/3 in N 8.749 * [backup-simplify]: Simplify 1/3 into 1/3 8.749 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 8.749 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 8.749 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.749 * [taylor]: Taking taylor expansion of 1 in N 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.749 * [taylor]: Taking taylor expansion of N in N 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (/ 1 1) into 1 8.749 * [taylor]: Taking taylor expansion of N in N 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (- 1) into -1 8.749 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.750 * [backup-simplify]: Simplify (/ -1 1) into -1 8.750 * [backup-simplify]: Simplify (log -1) into (log -1) 8.750 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.751 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.751 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.751 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.751 * [taylor]: Taking taylor expansion of -1 in N 8.751 * [backup-simplify]: Simplify -1 into -1 8.751 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.752 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.752 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.753 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.754 * [backup-simplify]: Simplify (- 0) into 0 8.754 * [backup-simplify]: Simplify (+ 1 0) into 1 8.755 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 8.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.756 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.756 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 8.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.758 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.759 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.761 * [backup-simplify]: Simplify (- 0) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.763 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.764 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 8.766 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.767 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.768 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.770 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.770 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.770 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.770 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 8.770 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.771 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.771 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.771 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.771 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.771 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1) (/ 1 N)))) (cbrt (* (+ (/ 1 N) 1) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.771 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 8.771 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.771 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.771 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.772 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.772 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.773 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) 8.773 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 8.773 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 8.774 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.774 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 8.775 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.776 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.776 * * * [progress]: simplifying candidates 8.776 * * * * [progress]: [ 1 / 56 ] simplifiying candidate # 8.776 * * * * [progress]: [ 2 / 56 ] simplifiying candidate # 8.776 * * * * [progress]: [ 3 / 56 ] simplifiying candidate # 8.776 * * * * [progress]: [ 4 / 56 ] simplifiying candidate # 8.776 * * * * [progress]: [ 5 / 56 ] simplifiying candidate # 8.776 * * * * [progress]: [ 6 / 56 ] simplifiying candidate # 8.776 * * * * [progress]: [ 7 / 56 ] simplifiying candidate # 8.776 * * * * [progress]: [ 8 / 56 ] simplifiying candidate # 8.776 * * * * [progress]: [ 9 / 56 ] simplifiying candidate # 8.776 * * * * [progress]: [ 10 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 11 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 12 / 56 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) N))))))))> 8.777 * * * * [progress]: [ 13 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 14 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 15 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 16 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 17 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 18 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 19 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 20 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 21 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 22 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 23 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 24 / 56 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))> 8.777 * * * * [progress]: [ 25 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 26 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 27 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 28 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 29 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 30 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 31 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 32 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 33 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 34 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 35 / 56 ] simplifiying candidate # 8.777 * * * * [progress]: [ 36 / 56 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))> 8.778 * * * * [progress]: [ 37 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 38 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 39 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 40 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 41 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 42 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 43 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 44 / 56 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))))> 8.778 * * * * [progress]: [ 45 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 46 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 47 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 48 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 49 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 50 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 51 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 52 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 53 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 54 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 55 / 56 ] simplifiying candidate # 8.778 * * * * [progress]: [ 56 / 56 ] simplifiying candidate # 8.779 * [simplify]: Simplifying: (log (cbrt (* (+ N 1) N))) (exp (cbrt (* (+ N 1) N))) (cbrt (+ N 1)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (- N 1)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (cbrt (* (+ N 1) N))) (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (real->posit16 (cbrt (* (+ N 1) N))) (log (cbrt (* (+ N 1) N))) (exp (cbrt (* (+ N 1) N))) (cbrt (+ N 1)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (- N 1)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (cbrt (* (+ N 1) N))) (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (real->posit16 (cbrt (* (+ N 1) N))) (log (cbrt (* (+ N 1) N))) (exp (cbrt (* (+ N 1) N))) (cbrt (+ N 1)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (- N 1)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (cbrt (* (+ N 1) N))) (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (real->posit16 (cbrt (* (+ N 1) N))) (log (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))))) (exp (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))))) (* (cbrt (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))))) (* (* (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))))) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))))) (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)))))) (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) 8.780 * * [simplify]: iteration 1: (86 enodes) 8.799 * * [simplify]: iteration 2: (183 enodes) 8.856 * * [simplify]: iteration 3: (424 enodes) 8.991 * * [simplify]: iteration 4: (982 enodes) 9.647 * * [simplify]: Extracting #0: cost 24 inf + 0 9.647 * * [simplify]: Extracting #1: cost 71 inf + 0 9.651 * * [simplify]: Extracting #2: cost 411 inf + 127 9.654 * * [simplify]: Extracting #3: cost 639 inf + 6783 9.660 * * [simplify]: Extracting #4: cost 518 inf + 34516 9.670 * * [simplify]: Extracting #5: cost 375 inf + 82031 9.688 * * [simplify]: Extracting #6: cost 210 inf + 158663 9.727 * * [simplify]: Extracting #7: cost 20 inf + 273022 9.769 * * [simplify]: Extracting #8: cost 0 inf + 283910 9.813 * [simplify]: Simplified to: (log (cbrt (+ (* N N) N))) (exp (cbrt (+ (* N N) N))) (cbrt (+ 1 N)) (cbrt N) (cbrt (+ (* (* N N) (* N N)) N)) (cbrt (- 1 (- N (* N N)))) (cbrt (- (* (* N N) N) N)) (cbrt (- N 1)) (* (cbrt (cbrt (+ (* N N) N))) (cbrt (cbrt (+ (* N N) N)))) (cbrt (cbrt (+ (* N N) N))) (+ (* N N) N) (sqrt (cbrt (+ (* N N) N))) (sqrt (cbrt (+ (* N N) N))) (real->posit16 (cbrt (+ (* N N) N))) (log (cbrt (+ (* N N) N))) (exp (cbrt (+ (* N N) N))) (cbrt (+ 1 N)) (cbrt N) (cbrt (+ (* (* N N) (* N N)) N)) (cbrt (- 1 (- N (* N N)))) (cbrt (- (* (* N N) N) N)) (cbrt (- N 1)) (* (cbrt (cbrt (+ (* N N) N))) (cbrt (cbrt (+ (* N N) N)))) (cbrt (cbrt (+ (* N N) N))) (+ (* N N) N) (sqrt (cbrt (+ (* N N) N))) (sqrt (cbrt (+ (* N N) N))) (real->posit16 (cbrt (+ (* N N) N))) (log (cbrt (+ (* N N) N))) (exp (cbrt (+ (* N N) N))) (cbrt (+ 1 N)) (cbrt N) (cbrt (+ (* (* N N) (* N N)) N)) (cbrt (- 1 (- N (* N N)))) (cbrt (- (* (* N N) N) N)) (cbrt (- N 1)) (* (cbrt (cbrt (+ (* N N) N))) (cbrt (cbrt (+ (* N N) N)))) (cbrt (cbrt (+ (* N N) N))) (+ (* N N) N) (sqrt (cbrt (+ (* N N) N))) (sqrt (cbrt (+ (* N N) N))) (real->posit16 (cbrt (+ (* N N) N))) (log (atan2 1 (+ (* N N) (+ 1 N)))) (exp (atan2 1 (+ (* N N) (+ 1 N)))) (* (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (cbrt (atan2 1 (+ (* N N) (+ 1 N))))) (cbrt (atan2 1 (+ (* N N) (+ 1 N)))) (* (* (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N)))) (atan2 1 (+ (* N N) (+ 1 N)))) (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) (sqrt (atan2 1 (+ (* N N) (+ 1 N)))) (real->posit16 (atan2 1 (+ (* N N) (+ 1 N)))) (- (* (cbrt (* (* N N) (* N N))) 1/3) (- (* 1/9 (cbrt (pow N 7))) (cbrt N))) (+ (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ 1 N) -2/3)) (* -1/9 (cbrt (/ 1 (* (* N N) (* N N)))))) (+ (* (* (/ (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))) N) (cbrt -1)) (- 1/3 (/ 1/9 N))) (* (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))) (cbrt -1))) (- (* (cbrt (* (* N N) (* N N))) 1/3) (- (* 1/9 (cbrt (pow N 7))) (cbrt N))) (+ (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ 1 N) -2/3)) (* -1/9 (cbrt (/ 1 (* (* N N) (* N N)))))) (+ (* (* (/ (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))) N) (cbrt -1)) (- 1/3 (/ 1/9 N))) (* (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))) (cbrt -1))) (- (* (cbrt (* (* N N) (* N N))) 1/3) (- (* 1/9 (cbrt (pow N 7))) (cbrt N))) (+ (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ 1 N) -2/3)) (* -1/9 (cbrt (/ 1 (* (* N N) (* N N)))))) (+ (* (* (/ (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))) N) (cbrt -1)) (- 1/3 (/ 1/9 N))) (* (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))) (cbrt -1))) (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N))) 9.818 * * * [progress]: adding candidates to table 10.214 * * [progress]: iteration 4 / 4 10.214 * * * [progress]: picking best candidate 10.224 * * * * [pick]: Picked # 10.224 * * * [progress]: localizing error 10.244 * * * [progress]: generating rewritten candidates 10.244 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 10.245 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 10.245 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 10.246 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 10.246 * * * [progress]: generating series expansions 10.246 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 10.246 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 10.246 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 10.247 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 10.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 10.247 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 10.247 * [taylor]: Taking taylor expansion of 1/3 in N 10.247 * [backup-simplify]: Simplify 1/3 into 1/3 10.247 * [taylor]: Taking taylor expansion of (log N) in N 10.247 * [taylor]: Taking taylor expansion of N in N 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify 1 into 1 10.247 * [backup-simplify]: Simplify (log 1) into 0 10.247 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.247 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.247 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.247 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 10.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 10.248 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 10.248 * [taylor]: Taking taylor expansion of 1/3 in N 10.248 * [backup-simplify]: Simplify 1/3 into 1/3 10.248 * [taylor]: Taking taylor expansion of (log N) in N 10.248 * [taylor]: Taking taylor expansion of N in N 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify 1 into 1 10.248 * [backup-simplify]: Simplify (log 1) into 0 10.248 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.248 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.248 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.248 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 10.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.249 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.250 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 10.250 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.252 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 10.253 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.259 * [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 10.260 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.260 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 10.261 * [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 10.261 * [backup-simplify]: Simplify 0 into 0 10.267 * [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 10.268 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.269 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 10.270 * [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 10.270 * [backup-simplify]: Simplify 0 into 0 10.280 * [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 10.280 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.281 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 10.283 * [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 10.283 * [backup-simplify]: Simplify 0 into 0 10.300 * [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 10.300 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 10.305 * [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 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 10.305 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 10.305 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 10.305 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.305 * [taylor]: Taking taylor expansion of 1/3 in N 10.305 * [backup-simplify]: Simplify 1/3 into 1/3 10.305 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.305 * [taylor]: Taking taylor expansion of N in N 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [backup-simplify]: Simplify 1 into 1 10.305 * [backup-simplify]: Simplify (/ 1 1) into 1 10.305 * [backup-simplify]: Simplify (log 1) into 0 10.306 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.306 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.306 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.306 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.306 * [taylor]: Taking taylor expansion of 1/3 in N 10.306 * [backup-simplify]: Simplify 1/3 into 1/3 10.306 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.306 * [taylor]: Taking taylor expansion of N in N 10.306 * [backup-simplify]: Simplify 0 into 0 10.306 * [backup-simplify]: Simplify 1 into 1 10.306 * [backup-simplify]: Simplify (/ 1 1) into 1 10.306 * [backup-simplify]: Simplify (log 1) into 0 10.307 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.307 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.307 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.307 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 10.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.309 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 10.309 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.309 * [backup-simplify]: Simplify 0 into 0 10.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.312 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.313 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.313 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.316 * [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 10.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.318 * [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 10.318 * [backup-simplify]: Simplify 0 into 0 10.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.325 * [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 10.325 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.326 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 10.327 * [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 10.327 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.340 * [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 10.340 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 10.343 * [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 10.344 * [backup-simplify]: Simplify 0 into 0 10.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.360 * [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 10.361 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.362 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 10.365 * [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 10.365 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 10.366 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 10.366 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 10.366 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 10.366 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.366 * [taylor]: Taking taylor expansion of 1/3 in N 10.366 * [backup-simplify]: Simplify 1/3 into 1/3 10.366 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.366 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.366 * [taylor]: Taking taylor expansion of N in N 10.366 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify 1 into 1 10.366 * [backup-simplify]: Simplify (/ 1 1) into 1 10.366 * [backup-simplify]: Simplify (log 1) into 0 10.367 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.367 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.367 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.367 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.367 * [taylor]: Taking taylor expansion of -1 in N 10.367 * [backup-simplify]: Simplify -1 into -1 10.367 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.368 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.368 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 10.368 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.368 * [taylor]: Taking taylor expansion of 1/3 in N 10.368 * [backup-simplify]: Simplify 1/3 into 1/3 10.368 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.368 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.368 * [taylor]: Taking taylor expansion of N in N 10.368 * [backup-simplify]: Simplify 0 into 0 10.368 * [backup-simplify]: Simplify 1 into 1 10.368 * [backup-simplify]: Simplify (/ 1 1) into 1 10.369 * [backup-simplify]: Simplify (log 1) into 0 10.369 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.369 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.369 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.369 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.369 * [taylor]: Taking taylor expansion of -1 in N 10.369 * [backup-simplify]: Simplify -1 into -1 10.369 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.370 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.370 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 10.370 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 10.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.372 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 10.373 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.373 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 10.373 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.378 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.378 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 10.378 * [backup-simplify]: Simplify 0 into 0 10.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.383 * [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 10.383 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.385 * [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 10.385 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 10.385 * [backup-simplify]: Simplify 0 into 0 10.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.393 * [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 10.393 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 10.396 * [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 10.396 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 10.396 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.407 * [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 10.407 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 10.410 * [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 10.411 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 10.411 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.432 * [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 10.432 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 10.437 * [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 10.438 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 10.438 * [backup-simplify]: Simplify 0 into 0 10.438 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 10.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 10.438 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 10.438 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 10.438 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 10.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 10.438 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 10.438 * [taylor]: Taking taylor expansion of 1/3 in N 10.438 * [backup-simplify]: Simplify 1/3 into 1/3 10.438 * [taylor]: Taking taylor expansion of (log N) in N 10.438 * [taylor]: Taking taylor expansion of N in N 10.439 * [backup-simplify]: Simplify 0 into 0 10.439 * [backup-simplify]: Simplify 1 into 1 10.439 * [backup-simplify]: Simplify (log 1) into 0 10.439 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.439 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.439 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.439 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 10.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 10.439 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 10.439 * [taylor]: Taking taylor expansion of 1/3 in N 10.439 * [backup-simplify]: Simplify 1/3 into 1/3 10.439 * [taylor]: Taking taylor expansion of (log N) in N 10.439 * [taylor]: Taking taylor expansion of N in N 10.439 * [backup-simplify]: Simplify 0 into 0 10.439 * [backup-simplify]: Simplify 1 into 1 10.440 * [backup-simplify]: Simplify (log 1) into 0 10.440 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.440 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.440 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.440 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 10.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.441 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.441 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 10.442 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.442 * [backup-simplify]: Simplify 0 into 0 10.443 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.444 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 10.445 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.445 * [backup-simplify]: Simplify 0 into 0 10.448 * [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 10.448 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 10.449 * [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 10.449 * [backup-simplify]: Simplify 0 into 0 10.455 * [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 10.455 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.456 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 10.458 * [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 10.458 * [backup-simplify]: Simplify 0 into 0 10.467 * [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 10.467 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 10.470 * [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 10.470 * [backup-simplify]: Simplify 0 into 0 10.487 * [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 10.487 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 10.491 * [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 10.492 * [backup-simplify]: Simplify 0 into 0 10.492 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 10.492 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 10.492 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 10.492 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.492 * [taylor]: Taking taylor expansion of 1/3 in N 10.492 * [backup-simplify]: Simplify 1/3 into 1/3 10.492 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.492 * [taylor]: Taking taylor expansion of N in N 10.492 * [backup-simplify]: Simplify 0 into 0 10.492 * [backup-simplify]: Simplify 1 into 1 10.492 * [backup-simplify]: Simplify (/ 1 1) into 1 10.492 * [backup-simplify]: Simplify (log 1) into 0 10.493 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.493 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.493 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.493 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.493 * [taylor]: Taking taylor expansion of 1/3 in N 10.493 * [backup-simplify]: Simplify 1/3 into 1/3 10.493 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.493 * [taylor]: Taking taylor expansion of N in N 10.493 * [backup-simplify]: Simplify 0 into 0 10.493 * [backup-simplify]: Simplify 1 into 1 10.493 * [backup-simplify]: Simplify (/ 1 1) into 1 10.493 * [backup-simplify]: Simplify (log 1) into 0 10.494 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.494 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.494 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.494 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 10.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.495 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 10.496 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.496 * [backup-simplify]: Simplify 0 into 0 10.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.498 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.499 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.504 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.505 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.508 * [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 10.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.510 * [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 10.510 * [backup-simplify]: Simplify 0 into 0 10.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.516 * [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 10.516 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 10.519 * [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 10.519 * [backup-simplify]: Simplify 0 into 0 10.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.528 * [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 10.529 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.530 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 10.532 * [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 10.532 * [backup-simplify]: Simplify 0 into 0 10.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.550 * [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 10.550 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.552 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 10.555 * [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 10.555 * [backup-simplify]: Simplify 0 into 0 10.555 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 10.555 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 10.555 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 10.555 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 10.555 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.555 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.555 * [taylor]: Taking taylor expansion of 1/3 in N 10.555 * [backup-simplify]: Simplify 1/3 into 1/3 10.555 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.555 * [taylor]: Taking taylor expansion of N in N 10.555 * [backup-simplify]: Simplify 0 into 0 10.555 * [backup-simplify]: Simplify 1 into 1 10.556 * [backup-simplify]: Simplify (/ 1 1) into 1 10.556 * [backup-simplify]: Simplify (log 1) into 0 10.556 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.556 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.556 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.556 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.556 * [taylor]: Taking taylor expansion of -1 in N 10.556 * [backup-simplify]: Simplify -1 into -1 10.557 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.557 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.557 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 10.557 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.557 * [taylor]: Taking taylor expansion of 1/3 in N 10.557 * [backup-simplify]: Simplify 1/3 into 1/3 10.557 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.557 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.557 * [taylor]: Taking taylor expansion of N in N 10.557 * [backup-simplify]: Simplify 0 into 0 10.557 * [backup-simplify]: Simplify 1 into 1 10.558 * [backup-simplify]: Simplify (/ 1 1) into 1 10.558 * [backup-simplify]: Simplify (log 1) into 0 10.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.558 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.558 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.558 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.558 * [taylor]: Taking taylor expansion of -1 in N 10.558 * [backup-simplify]: Simplify -1 into -1 10.558 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.559 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.559 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 10.560 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 10.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.561 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 10.562 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.562 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 10.562 * [backup-simplify]: Simplify 0 into 0 10.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.565 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.566 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.566 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.567 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.568 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 10.568 * [backup-simplify]: Simplify 0 into 0 10.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.572 * [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 10.572 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.573 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.574 * [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 10.575 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 10.575 * [backup-simplify]: Simplify 0 into 0 10.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.582 * [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 10.582 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.587 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 10.589 * [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 10.590 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 10.590 * [backup-simplify]: Simplify 0 into 0 10.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.600 * [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 10.601 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 10.604 * [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 10.605 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 10.605 * [backup-simplify]: Simplify 0 into 0 10.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.622 * [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 10.623 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 10.627 * [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 10.628 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 10.628 * [backup-simplify]: Simplify 0 into 0 10.629 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 10.629 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 10.629 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 10.629 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 10.629 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 10.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 10.629 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 10.629 * [taylor]: Taking taylor expansion of 1/3 in N 10.629 * [backup-simplify]: Simplify 1/3 into 1/3 10.629 * [taylor]: Taking taylor expansion of (log N) in N 10.629 * [taylor]: Taking taylor expansion of N in N 10.629 * [backup-simplify]: Simplify 0 into 0 10.629 * [backup-simplify]: Simplify 1 into 1 10.629 * [backup-simplify]: Simplify (log 1) into 0 10.630 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.630 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.630 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.630 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 10.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 10.630 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 10.630 * [taylor]: Taking taylor expansion of 1/3 in N 10.630 * [backup-simplify]: Simplify 1/3 into 1/3 10.630 * [taylor]: Taking taylor expansion of (log N) in N 10.630 * [taylor]: Taking taylor expansion of N in N 10.630 * [backup-simplify]: Simplify 0 into 0 10.630 * [backup-simplify]: Simplify 1 into 1 10.630 * [backup-simplify]: Simplify (log 1) into 0 10.630 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.630 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.630 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.630 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 10.631 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.632 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.632 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 10.632 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.632 * [backup-simplify]: Simplify 0 into 0 10.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.634 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.635 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 10.636 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.636 * [backup-simplify]: Simplify 0 into 0 10.638 * [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 10.639 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.639 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 10.640 * [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 10.640 * [backup-simplify]: Simplify 0 into 0 10.646 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 10.646 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 10.649 * [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 10.649 * [backup-simplify]: Simplify 0 into 0 10.657 * [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 10.658 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.659 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 10.661 * [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 10.661 * [backup-simplify]: Simplify 0 into 0 10.682 * [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 10.682 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.684 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 10.687 * [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 10.687 * [backup-simplify]: Simplify 0 into 0 10.687 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 10.687 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 10.687 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 10.687 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.687 * [taylor]: Taking taylor expansion of 1/3 in N 10.687 * [backup-simplify]: Simplify 1/3 into 1/3 10.687 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.687 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.687 * [taylor]: Taking taylor expansion of N in N 10.687 * [backup-simplify]: Simplify 0 into 0 10.687 * [backup-simplify]: Simplify 1 into 1 10.688 * [backup-simplify]: Simplify (/ 1 1) into 1 10.688 * [backup-simplify]: Simplify (log 1) into 0 10.688 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.688 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.688 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.688 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.688 * [taylor]: Taking taylor expansion of 1/3 in N 10.688 * [backup-simplify]: Simplify 1/3 into 1/3 10.688 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.688 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.688 * [taylor]: Taking taylor expansion of N in N 10.688 * [backup-simplify]: Simplify 0 into 0 10.688 * [backup-simplify]: Simplify 1 into 1 10.689 * [backup-simplify]: Simplify (/ 1 1) into 1 10.689 * [backup-simplify]: Simplify (log 1) into 0 10.689 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.689 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.689 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.689 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 10.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.691 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.691 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 10.691 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.692 * [backup-simplify]: Simplify 0 into 0 10.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.694 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.696 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.696 * [backup-simplify]: Simplify 0 into 0 10.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.699 * [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 10.699 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.700 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.701 * [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 10.701 * [backup-simplify]: Simplify 0 into 0 10.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.707 * [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 10.707 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.708 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 10.709 * [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 10.710 * [backup-simplify]: Simplify 0 into 0 10.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.719 * [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 10.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 10.723 * [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 10.723 * [backup-simplify]: Simplify 0 into 0 10.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.739 * [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 10.740 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.741 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 10.744 * [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 10.744 * [backup-simplify]: Simplify 0 into 0 10.744 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 10.744 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 10.744 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 10.744 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 10.744 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.745 * [taylor]: Taking taylor expansion of 1/3 in N 10.745 * [backup-simplify]: Simplify 1/3 into 1/3 10.745 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.745 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.745 * [taylor]: Taking taylor expansion of N in N 10.745 * [backup-simplify]: Simplify 0 into 0 10.745 * [backup-simplify]: Simplify 1 into 1 10.745 * [backup-simplify]: Simplify (/ 1 1) into 1 10.745 * [backup-simplify]: Simplify (log 1) into 0 10.745 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.745 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.745 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.746 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.746 * [taylor]: Taking taylor expansion of -1 in N 10.746 * [backup-simplify]: Simplify -1 into -1 10.746 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.746 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.746 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 10.746 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 10.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 10.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 10.746 * [taylor]: Taking taylor expansion of 1/3 in N 10.746 * [backup-simplify]: Simplify 1/3 into 1/3 10.746 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.746 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.746 * [taylor]: Taking taylor expansion of N in N 10.746 * [backup-simplify]: Simplify 0 into 0 10.746 * [backup-simplify]: Simplify 1 into 1 10.747 * [backup-simplify]: Simplify (/ 1 1) into 1 10.747 * [backup-simplify]: Simplify (log 1) into 0 10.747 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.747 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 10.747 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 10.747 * [taylor]: Taking taylor expansion of (cbrt -1) in N 10.747 * [taylor]: Taking taylor expansion of -1 in N 10.747 * [backup-simplify]: Simplify -1 into -1 10.748 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 10.748 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 10.748 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 10.749 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 10.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.755 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.755 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 10.756 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 10.757 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 10.757 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.760 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.760 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.760 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 10.761 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.762 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 10.762 * [backup-simplify]: Simplify 0 into 0 10.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.766 * [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 10.766 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.767 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 10.768 * [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 10.768 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 10.768 * [backup-simplify]: Simplify 0 into 0 10.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.776 * [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 10.776 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.777 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 10.778 * [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 10.779 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 10.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.789 * [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 10.790 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.791 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 10.793 * [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 10.794 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 10.794 * [backup-simplify]: Simplify 0 into 0 10.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 10.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.813 * [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 10.814 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.815 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 10.818 * [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 10.819 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 10.819 * [backup-simplify]: Simplify 0 into 0 10.820 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 10.820 * * * * [progress]: [ 4 / 4 ] generating series at (2) 10.820 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 10.820 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 10.820 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 10.820 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 10.820 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 10.820 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 10.821 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 10.821 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ (/ 1 N) 1) (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (cbrt (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 10.821 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 10.821 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 10.821 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 10.821 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 10.821 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 10.821 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.821 * [backup-simplify]: Simplify 0 into 0 10.822 * [backup-simplify]: Simplify 0 into 0 10.822 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 10.822 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ (/ 1 (- N)) 1) (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N))))) (cbrt (/ 1 (- N)))))) into (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) 10.822 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 10.822 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 10.823 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 10.824 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 10.825 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 10.825 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 10.825 * * * [progress]: simplifying candidates 10.825 * * * * [progress]: [ 1 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 2 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 3 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 4 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 5 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 6 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 7 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 8 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 9 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 10 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 11 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 12 / 56 ] simplifiying candidate #real (real->posit16 (cbrt N)))))))> 10.826 * * * * [progress]: [ 13 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 14 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 15 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 16 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 17 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 18 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 19 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 20 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 21 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 22 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 23 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 24 / 56 ] simplifiying candidate #real (real->posit16 (cbrt N))))) (cbrt N)))))> 10.826 * * * * [progress]: [ 25 / 56 ] simplifiying candidate # 10.826 * * * * [progress]: [ 26 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 27 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 28 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 29 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 30 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 31 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 32 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 33 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 34 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 35 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 36 / 56 ] simplifiying candidate #real (real->posit16 (cbrt N))) (cbrt N))) (cbrt N)))))> 10.827 * * * * [progress]: [ 37 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 38 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 39 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 40 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 41 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 42 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 43 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 44 / 56 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))))> 10.827 * * * * [progress]: [ 45 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 46 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 47 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 48 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 49 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 50 / 56 ] simplifiying candidate # 10.827 * * * * [progress]: [ 51 / 56 ] simplifiying candidate # 10.828 * * * * [progress]: [ 52 / 56 ] simplifiying candidate # 10.828 * * * * [progress]: [ 53 / 56 ] simplifiying candidate # 10.828 * * * * [progress]: [ 54 / 56 ] simplifiying candidate # 10.828 * * * * [progress]: [ 55 / 56 ] simplifiying candidate # 10.828 * * * * [progress]: [ 56 / 56 ] simplifiying candidate # 10.828 * [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)) (log (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (exp (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))) (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (* (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) 10.829 * * [simplify]: iteration 1: (43 enodes) 10.842 * * [simplify]: iteration 2: (79 enodes) 10.858 * * [simplify]: iteration 3: (157 enodes) 10.894 * * [simplify]: iteration 4: (383 enodes) 11.063 * * [simplify]: iteration 5: (987 enodes) 11.996 * * [simplify]: Extracting #0: cost 21 inf + 0 11.996 * * [simplify]: Extracting #1: cost 104 inf + 2 11.998 * * [simplify]: Extracting #2: cost 199 inf + 2169 11.999 * * [simplify]: Extracting #3: cost 266 inf + 9062 12.009 * * [simplify]: Extracting #4: cost 309 inf + 74113 12.039 * * [simplify]: Extracting #5: cost 37 inf + 245564 12.075 * * [simplify]: Extracting #6: cost 2 inf + 263718 12.108 * * [simplify]: Extracting #7: cost 0 inf + 264846 12.142 * [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)) (log (atan2 1 (+ N (+ (* N N) 1)))) (exp (atan2 1 (+ N (+ (* N N) 1)))) (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (* (* (atan2 1 (+ N (+ (* N N) 1))) (atan2 1 (+ N (+ (* N N) 1)))) (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (real->posit16 (atan2 1 (+ N (+ (* N N) 1)))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (atan2 1 (+ N (+ (* N N) 1))) (atan2 1 (+ N (+ (* N N) 1))) (atan2 1 (+ N (+ (* N N) 1))) 12.145 * * * [progress]: adding candidates to table 12.505 * [progress]: [Phase 3 of 3] Extracting. 12.505 * * [regime]: Finding splitpoints for: (# # # # # #) 12.506 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1)) (atan N)) N) 12.506 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # #) 12.535 * * * * [regimes]: Trying to branch on N from (# # # # # #) 12.560 * * * [regime]: Found split indices: #