40.453 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.052 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.052 * * [simplify]: iteration 1: (6 enodes) 0.054 * * [simplify]: iteration 2: (9 enodes) 0.057 * * [simplify]: iteration 3: (10 enodes) 0.059 * * [simplify]: Extracting #0: cost 1 inf + 0 0.059 * * [simplify]: Extracting #1: cost 4 inf + 0 0.059 * * [simplify]: Extracting #2: cost 6 inf + 0 0.059 * * [simplify]: Extracting #3: cost 6 inf + 1 0.060 * * [simplify]: Extracting #4: cost 0 inf + 735 0.060 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.109 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.119 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.122 * * * [progress]: generating series expansions 0.122 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.122 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.122 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.122 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.124 * [taylor]: Taking taylor expansion of (atan N) in N 0.124 * [backup-simplify]: Simplify (atan N) into (atan N) 0.124 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.124 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.124 * [taylor]: Taking taylor expansion of (atan N) in N 0.124 * [backup-simplify]: Simplify (atan N) into (atan N) 0.124 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.124 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.124 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.131 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.131 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.131 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.131 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.131 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.131 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.131 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.131 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.131 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.131 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.132 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.132 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.132 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.137 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.137 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.137 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.137 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.137 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.138 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.138 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.138 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.138 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.138 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.138 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.138 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.138 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.143 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.144 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.144 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.144 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.144 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.144 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.144 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.144 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.144 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.144 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.144 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.145 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.145 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.145 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.145 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.145 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.145 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.145 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.145 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.146 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.146 * * * [progress]: simplifying candidates 0.146 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.146 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.146 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.146 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.146 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.146 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.146 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.146 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.146 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.146 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.147 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.147 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.147 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.148 * [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)) 0.149 * * [simplify]: iteration 1: (41 enodes) 0.164 * * [simplify]: iteration 2: (75 enodes) 0.192 * * [simplify]: iteration 3: (149 enodes) 0.231 * * [simplify]: iteration 4: (287 enodes) 0.344 * * [simplify]: iteration 5: (618 enodes) 0.663 * * [simplify]: iteration 6: (1652 enodes) 1.940 * * [simplify]: Extracting #0: cost 25 inf + 0 1.940 * * [simplify]: Extracting #1: cost 235 inf + 1 1.944 * * [simplify]: Extracting #2: cost 973 inf + 3955 1.962 * * [simplify]: Extracting #3: cost 826 inf + 118648 2.069 * * [simplify]: Extracting #4: cost 292 inf + 419159 2.188 * * [simplify]: Extracting #5: cost 9 inf + 649574 2.332 * * [simplify]: Extracting #6: cost 0 inf + 655834 2.486 * * [simplify]: Extracting #7: cost 0 inf + 655472 2.633 * [simplify]: Simplified to: 1 (+ 1 (* N (+ 1 N))) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (atan N) (* (atan N) (atan N)))) (+ (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N)))) (* (atan N) (atan N))) (- (atan N)) (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) (+ (atan N) (atan (+ 1 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (log (atan (+ 1 N))) (exp (atan (+ 1 N))) (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (real->posit16 (atan (+ 1 N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan (+ 1 N)) (atan (+ 1 N)) 2.635 * * * [progress]: adding candidates to table 2.914 * * [progress]: iteration 2 / 4 2.914 * * * [progress]: picking best candidate 2.918 * * * * [pick]: Picked # 2.918 * * * [progress]: localizing error 2.944 * * * [progress]: generating rewritten candidates 2.944 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.945 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.962 * * * [progress]: generating series expansions 2.962 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.962 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.962 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.962 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.962 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.962 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.963 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.963 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.963 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.963 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.963 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.963 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.963 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.963 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.963 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.964 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.964 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.964 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.964 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.964 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.964 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.964 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.965 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.965 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 2.965 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 2.965 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.965 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.965 * [taylor]: Taking taylor expansion of N in N 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of 1 in N 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of N in N 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.965 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.965 * [taylor]: Taking taylor expansion of N in N 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of 1 in N 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of N in N 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (+ 0 1) into 1 2.966 * [backup-simplify]: Simplify (* 1 0) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (+ 1 0) into 1 2.967 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (+ 0 0) into 0 2.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (+ 0 0) into 0 2.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 2.975 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 2.975 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 2.975 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.975 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.975 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.975 * [taylor]: Taking taylor expansion of N in N 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [taylor]: Taking taylor expansion of 1 in N 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [taylor]: Taking taylor expansion of N in N 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (+ 1 0) into 1 2.976 * [backup-simplify]: Simplify (/ 1 1) into 1 2.976 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.976 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.976 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.976 * [taylor]: Taking taylor expansion of N in N 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (/ 1 1) into 1 2.976 * [taylor]: Taking taylor expansion of 1 in N 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [taylor]: Taking taylor expansion of N in N 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (+ 1 0) into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 1) into 1 2.978 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (+ 0 0) into 0 2.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.986 * [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 2.986 * [backup-simplify]: Simplify 0 into 0 2.987 * [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 2.987 * [backup-simplify]: Simplify (+ 0 0) into 0 2.988 * [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 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 2.989 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 2.989 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 2.989 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.989 * [taylor]: Taking taylor expansion of -1 in N 2.989 * [backup-simplify]: Simplify -1 into -1 2.989 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.989 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.989 * [taylor]: Taking taylor expansion of 1 in N 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.989 * [taylor]: Taking taylor expansion of N in N 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (/ 1 1) into 1 2.989 * [taylor]: Taking taylor expansion of N in N 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (- 1) into -1 2.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.991 * [backup-simplify]: Simplify (/ -1 1) into -1 2.991 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.991 * [taylor]: Taking taylor expansion of -1 in N 2.991 * [backup-simplify]: Simplify -1 into -1 2.991 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.991 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.991 * [taylor]: Taking taylor expansion of 1 in N 2.991 * [backup-simplify]: Simplify 1 into 1 2.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.991 * [taylor]: Taking taylor expansion of N in N 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 1 into 1 2.991 * [backup-simplify]: Simplify (/ 1 1) into 1 2.991 * [taylor]: Taking taylor expansion of N in N 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (- 1) into -1 2.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.993 * [backup-simplify]: Simplify (/ -1 1) into -1 2.993 * [backup-simplify]: Simplify (* -1 -1) into 1 2.993 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (- 0) into 0 2.995 * [backup-simplify]: Simplify (+ 1 0) into 1 2.996 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 2.997 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.997 * [backup-simplify]: Simplify -1 into -1 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (- 0) into 0 2.998 * [backup-simplify]: Simplify (+ 0 0) into 0 2.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 3.000 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (- 0) into 0 3.002 * [backup-simplify]: Simplify (+ 0 0) into 0 3.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (- 0) into 0 3.007 * [backup-simplify]: Simplify (+ 0 0) into 0 3.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (- 0) into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (- 0) into 0 3.016 * [backup-simplify]: Simplify (+ 0 0) into 0 3.017 * [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 3.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.020 * [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 3.021 * [backup-simplify]: Simplify (- 0) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [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 3.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.024 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 3.025 * * * [progress]: simplifying candidates 3.025 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 3.025 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 3.025 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 3.026 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 3.026 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 3.027 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 3.027 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 3.027 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 3.027 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 3.027 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 3.027 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 3.027 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) (* (+ N 1) N) (+ (log (+ N 1)) (log N)) (log (* (+ N 1) N)) (exp (* (+ N 1) N)) (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)) (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)) (* (+ N 1) (* (cbrt N) (cbrt N))) (* (+ N 1) (sqrt N)) (* (+ N 1) 1) (* (cbrt (+ N 1)) N) (* (sqrt (+ N 1)) N) (* (+ N 1) N) (* (+ N 1) N) (* (+ (pow N 3) (pow 1 3)) N) (* (- (* N N) (* 1 1)) N) (real->posit16 (* (+ N 1) N)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 3.028 * * [simplify]: iteration 1: (55 enodes) 3.053 * * [simplify]: iteration 2: (119 enodes) 3.114 * * [simplify]: iteration 3: (305 enodes) 3.358 * * [simplify]: iteration 4: (832 enodes) 4.951 * * [simplify]: Extracting #0: cost 24 inf + 0 4.952 * * [simplify]: Extracting #1: cost 172 inf + 0 4.956 * * [simplify]: Extracting #2: cost 482 inf + 3683 4.967 * * [simplify]: Extracting #3: cost 275 inf + 32759 4.998 * * [simplify]: Extracting #4: cost 24 inf + 96217 5.036 * * [simplify]: Extracting #5: cost 0 inf + 102893 5.074 * * [simplify]: Extracting #6: cost 0 inf + 102813 5.093 * [simplify]: Simplified to: (log (atan2 1 (+ (+ N 1) (* N N)))) (exp (atan2 1 (+ (+ N 1) (* N N)))) (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (* (atan2 1 (+ (+ N 1) (* N N))) (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (real->posit16 (atan2 1 (+ (+ N 1) (* N N)))) (+ N (* N N)) (log (+ N (* N N))) (log (+ N (* N N))) (exp (+ (* N N) N)) (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N)))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (cbrt (+ N (* N N))) (* (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N)))) (sqrt (+ N (* N N))) (sqrt (+ N (* N N))) (* (sqrt N) (sqrt (+ N 1))) (* (sqrt N) (sqrt (+ N 1))) (+ (* (cbrt N) (cbrt N)) (* N (* (cbrt N) (cbrt N)))) (+ (* (sqrt N) N) (sqrt N)) (+ N 1) (* (cbrt (+ N 1)) N) (* N (sqrt (+ N 1))) (+ N (* N N)) (+ N (* N N)) (+ N (* (* N N) (* N N))) (- (* (* N N) N) N) (real->posit16 (+ N (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 5.094 * * * [progress]: adding candidates to table 5.362 * * [progress]: iteration 3 / 4 5.362 * * * [progress]: picking best candidate 5.368 * * * * [pick]: Picked # 5.368 * * * [progress]: localizing error 5.391 * * * [progress]: generating rewritten candidates 5.391 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 5.396 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 5.401 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 5.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 5.425 * * * [progress]: generating series expansions 5.425 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 5.425 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3) 5.425 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 5.425 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 5.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 5.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 5.425 * [taylor]: Taking taylor expansion of 1/3 in N 5.425 * [backup-simplify]: Simplify 1/3 into 1/3 5.425 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 5.425 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 5.425 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.425 * [taylor]: Taking taylor expansion of N in N 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify 1 into 1 5.425 * [taylor]: Taking taylor expansion of 1 in N 5.425 * [backup-simplify]: Simplify 1 into 1 5.425 * [taylor]: Taking taylor expansion of N in N 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify 1 into 1 5.426 * [backup-simplify]: Simplify (+ 0 1) into 1 5.426 * [backup-simplify]: Simplify (* 1 0) into 0 5.426 * [backup-simplify]: Simplify (+ 1 0) into 1 5.427 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 5.427 * [backup-simplify]: Simplify (log 1) into 0 5.427 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.427 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.428 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.428 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 5.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 5.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 5.428 * [taylor]: Taking taylor expansion of 1/3 in N 5.428 * [backup-simplify]: Simplify 1/3 into 1/3 5.428 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 5.428 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 5.428 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.428 * [taylor]: Taking taylor expansion of N in N 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [taylor]: Taking taylor expansion of 1 in N 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [taylor]: Taking taylor expansion of N in N 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [backup-simplify]: Simplify (+ 0 1) into 1 5.429 * [backup-simplify]: Simplify (* 1 0) into 0 5.429 * [backup-simplify]: Simplify (+ 1 0) into 1 5.430 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 5.430 * [backup-simplify]: Simplify (log 1) into 0 5.431 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.431 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.431 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.431 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.431 * [backup-simplify]: Simplify (+ 0 0) into 0 5.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 5.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.434 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.434 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 5.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 5.435 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 5.436 * [backup-simplify]: Simplify (+ 0 0) into 0 5.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.440 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.441 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 5.442 * [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)) 5.443 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 5.443 * [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))) 5.443 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 5.443 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 5.443 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 5.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 5.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 5.443 * [taylor]: Taking taylor expansion of 1/3 in N 5.443 * [backup-simplify]: Simplify 1/3 into 1/3 5.443 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 5.443 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.443 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.443 * [taylor]: Taking taylor expansion of N in N 5.443 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify 1 into 1 5.444 * [backup-simplify]: Simplify (/ 1 1) into 1 5.444 * [taylor]: Taking taylor expansion of 1 in N 5.444 * [backup-simplify]: Simplify 1 into 1 5.444 * [taylor]: Taking taylor expansion of N in N 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify 1 into 1 5.444 * [backup-simplify]: Simplify (+ 1 0) into 1 5.444 * [backup-simplify]: Simplify (/ 1 1) into 1 5.445 * [backup-simplify]: Simplify (log 1) into 0 5.445 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.445 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.445 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.445 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 5.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 5.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 5.445 * [taylor]: Taking taylor expansion of 1/3 in N 5.445 * [backup-simplify]: Simplify 1/3 into 1/3 5.445 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 5.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.445 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.445 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.445 * [taylor]: Taking taylor expansion of N in N 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 1 into 1 5.445 * [backup-simplify]: Simplify (/ 1 1) into 1 5.446 * [taylor]: Taking taylor expansion of 1 in N 5.446 * [backup-simplify]: Simplify 1 into 1 5.446 * [taylor]: Taking taylor expansion of N in N 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify 1 into 1 5.446 * [backup-simplify]: Simplify (+ 1 0) into 1 5.446 * [backup-simplify]: Simplify (/ 1 1) into 1 5.446 * [backup-simplify]: Simplify (log 1) into 0 5.447 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.447 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.447 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.447 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.448 * [backup-simplify]: Simplify (+ 0 1) into 1 5.448 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.449 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.449 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 5.450 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.450 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.453 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.453 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.454 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 5.458 * [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)) 5.458 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.458 * [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))) 5.458 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 5.458 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 5.458 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 5.458 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 5.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 5.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 5.458 * [taylor]: Taking taylor expansion of 1/3 in N 5.458 * [backup-simplify]: Simplify 1/3 into 1/3 5.458 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 5.458 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.458 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.458 * [taylor]: Taking taylor expansion of 1 in N 5.458 * [backup-simplify]: Simplify 1 into 1 5.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.459 * [taylor]: Taking taylor expansion of N in N 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (/ 1 1) into 1 5.459 * [taylor]: Taking taylor expansion of N in N 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (- 1) into -1 5.459 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.460 * [backup-simplify]: Simplify (/ -1 1) into -1 5.460 * [backup-simplify]: Simplify (log -1) into (log -1) 5.460 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.461 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.461 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.461 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.461 * [taylor]: Taking taylor expansion of -1 in N 5.461 * [backup-simplify]: Simplify -1 into -1 5.461 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.462 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.462 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 5.462 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 5.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 5.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 5.462 * [taylor]: Taking taylor expansion of 1/3 in N 5.462 * [backup-simplify]: Simplify 1/3 into 1/3 5.462 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 5.462 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.462 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.462 * [taylor]: Taking taylor expansion of 1 in N 5.462 * [backup-simplify]: Simplify 1 into 1 5.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.462 * [taylor]: Taking taylor expansion of N in N 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.462 * [backup-simplify]: Simplify (/ 1 1) into 1 5.462 * [taylor]: Taking taylor expansion of N in N 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (- 1) into -1 5.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.463 * [backup-simplify]: Simplify (/ -1 1) into -1 5.464 * [backup-simplify]: Simplify (log -1) into (log -1) 5.464 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.464 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.465 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.465 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.465 * [taylor]: Taking taylor expansion of -1 in N 5.465 * [backup-simplify]: Simplify -1 into -1 5.465 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.465 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.466 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.467 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (- 0) into 0 5.468 * [backup-simplify]: Simplify (+ 1 0) into 1 5.468 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 5.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.470 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.470 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 5.471 * [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)))))) 5.473 * [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)))))))) 5.474 * [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)))))))) 5.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.477 * [backup-simplify]: Simplify (- 0) into 0 5.478 * [backup-simplify]: Simplify (+ 0 0) into 0 5.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.483 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.484 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 5.485 * [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)))))) 5.487 * [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)))))))) 5.487 * [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)))))))) 5.490 * [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)))) 5.490 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 5.490 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3) 5.490 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 5.490 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 5.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 5.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 5.490 * [taylor]: Taking taylor expansion of 1/3 in N 5.490 * [backup-simplify]: Simplify 1/3 into 1/3 5.490 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 5.490 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 5.490 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.490 * [taylor]: Taking taylor expansion of N in N 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.490 * [taylor]: Taking taylor expansion of 1 in N 5.490 * [backup-simplify]: Simplify 1 into 1 5.490 * [taylor]: Taking taylor expansion of N in N 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.490 * [backup-simplify]: Simplify (+ 0 1) into 1 5.491 * [backup-simplify]: Simplify (* 1 0) into 0 5.491 * [backup-simplify]: Simplify (+ 1 0) into 1 5.491 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 5.492 * [backup-simplify]: Simplify (log 1) into 0 5.492 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.492 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.492 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.492 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 5.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 5.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 5.492 * [taylor]: Taking taylor expansion of 1/3 in N 5.492 * [backup-simplify]: Simplify 1/3 into 1/3 5.492 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 5.492 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 5.492 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.492 * [taylor]: Taking taylor expansion of N in N 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.492 * [taylor]: Taking taylor expansion of 1 in N 5.492 * [backup-simplify]: Simplify 1 into 1 5.492 * [taylor]: Taking taylor expansion of N in N 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.492 * [backup-simplify]: Simplify (+ 0 1) into 1 5.493 * [backup-simplify]: Simplify (* 1 0) into 0 5.493 * [backup-simplify]: Simplify (+ 1 0) into 1 5.493 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 5.494 * [backup-simplify]: Simplify (log 1) into 0 5.494 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.494 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.494 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.494 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.494 * [backup-simplify]: Simplify (+ 0 0) into 0 5.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 5.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.496 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.496 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 5.497 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 5.497 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 5.497 * [backup-simplify]: Simplify (+ 0 0) into 0 5.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.499 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.500 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 5.501 * [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)) 5.501 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 5.501 * [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))) 5.501 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 5.501 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 5.501 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 5.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 5.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 5.501 * [taylor]: Taking taylor expansion of 1/3 in N 5.501 * [backup-simplify]: Simplify 1/3 into 1/3 5.501 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 5.501 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.502 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.502 * [taylor]: Taking taylor expansion of N in N 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 1 into 1 5.502 * [backup-simplify]: Simplify (/ 1 1) into 1 5.502 * [taylor]: Taking taylor expansion of 1 in N 5.502 * [backup-simplify]: Simplify 1 into 1 5.502 * [taylor]: Taking taylor expansion of N in N 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 1 into 1 5.502 * [backup-simplify]: Simplify (+ 1 0) into 1 5.502 * [backup-simplify]: Simplify (/ 1 1) into 1 5.503 * [backup-simplify]: Simplify (log 1) into 0 5.503 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.503 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.503 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.503 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 5.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 5.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 5.503 * [taylor]: Taking taylor expansion of 1/3 in N 5.503 * [backup-simplify]: Simplify 1/3 into 1/3 5.503 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 5.503 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.503 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.503 * [taylor]: Taking taylor expansion of N in N 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify 1 into 1 5.504 * [backup-simplify]: Simplify (/ 1 1) into 1 5.504 * [taylor]: Taking taylor expansion of 1 in N 5.504 * [backup-simplify]: Simplify 1 into 1 5.504 * [taylor]: Taking taylor expansion of N in N 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 1 into 1 5.504 * [backup-simplify]: Simplify (+ 1 0) into 1 5.504 * [backup-simplify]: Simplify (/ 1 1) into 1 5.504 * [backup-simplify]: Simplify (log 1) into 0 5.505 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.505 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.505 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.505 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.506 * [backup-simplify]: Simplify (+ 0 1) into 1 5.506 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.507 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.507 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 5.508 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.508 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.509 * [backup-simplify]: Simplify (+ 0 0) into 0 5.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.511 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.511 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.512 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 5.513 * [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)) 5.514 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.514 * [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))) 5.514 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 5.514 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 5.514 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 5.514 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 5.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 5.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 5.515 * [taylor]: Taking taylor expansion of 1/3 in N 5.515 * [backup-simplify]: Simplify 1/3 into 1/3 5.515 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 5.515 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.515 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.515 * [taylor]: Taking taylor expansion of 1 in N 5.515 * [backup-simplify]: Simplify 1 into 1 5.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.515 * [taylor]: Taking taylor expansion of N in N 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 1 into 1 5.515 * [backup-simplify]: Simplify (/ 1 1) into 1 5.515 * [taylor]: Taking taylor expansion of N in N 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 1 into 1 5.516 * [backup-simplify]: Simplify (- 1) into -1 5.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.516 * [backup-simplify]: Simplify (/ -1 1) into -1 5.517 * [backup-simplify]: Simplify (log -1) into (log -1) 5.517 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.518 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.518 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.518 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.518 * [taylor]: Taking taylor expansion of -1 in N 5.518 * [backup-simplify]: Simplify -1 into -1 5.519 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.519 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.520 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 5.520 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 5.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 5.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 5.520 * [taylor]: Taking taylor expansion of 1/3 in N 5.520 * [backup-simplify]: Simplify 1/3 into 1/3 5.520 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 5.520 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.520 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.520 * [taylor]: Taking taylor expansion of 1 in N 5.520 * [backup-simplify]: Simplify 1 into 1 5.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.520 * [taylor]: Taking taylor expansion of N in N 5.520 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 1 into 1 5.520 * [backup-simplify]: Simplify (/ 1 1) into 1 5.520 * [taylor]: Taking taylor expansion of N in N 5.520 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 1 into 1 5.521 * [backup-simplify]: Simplify (- 1) into -1 5.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.521 * [backup-simplify]: Simplify (/ -1 1) into -1 5.522 * [backup-simplify]: Simplify (log -1) into (log -1) 5.522 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.523 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.524 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.524 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.524 * [taylor]: Taking taylor expansion of -1 in N 5.524 * [backup-simplify]: Simplify -1 into -1 5.524 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.525 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.526 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.527 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.528 * [backup-simplify]: Simplify (- 0) into 0 5.528 * [backup-simplify]: Simplify (+ 1 0) into 1 5.529 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 5.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.531 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.532 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 5.533 * [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)))))) 5.534 * [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)))))))) 5.535 * [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)))))))) 5.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.537 * [backup-simplify]: Simplify (- 0) into 0 5.537 * [backup-simplify]: Simplify (+ 0 0) into 0 5.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.540 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.541 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 5.542 * [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)))))) 5.544 * [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)))))))) 5.544 * [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)))))))) 5.547 * [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)))) 5.547 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 5.547 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3) 5.547 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 5.547 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 5.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 5.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 5.547 * [taylor]: Taking taylor expansion of 1/3 in N 5.547 * [backup-simplify]: Simplify 1/3 into 1/3 5.547 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 5.547 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 5.547 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.547 * [taylor]: Taking taylor expansion of N in N 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [taylor]: Taking taylor expansion of 1 in N 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [taylor]: Taking taylor expansion of N in N 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [backup-simplify]: Simplify (+ 0 1) into 1 5.548 * [backup-simplify]: Simplify (* 1 0) into 0 5.548 * [backup-simplify]: Simplify (+ 1 0) into 1 5.548 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 5.549 * [backup-simplify]: Simplify (log 1) into 0 5.549 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.549 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.549 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.549 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 5.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 5.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 5.549 * [taylor]: Taking taylor expansion of 1/3 in N 5.549 * [backup-simplify]: Simplify 1/3 into 1/3 5.549 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 5.549 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 5.549 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.549 * [taylor]: Taking taylor expansion of N in N 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 1 into 1 5.549 * [taylor]: Taking taylor expansion of 1 in N 5.549 * [backup-simplify]: Simplify 1 into 1 5.549 * [taylor]: Taking taylor expansion of N in N 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 1 into 1 5.549 * [backup-simplify]: Simplify (+ 0 1) into 1 5.550 * [backup-simplify]: Simplify (* 1 0) into 0 5.550 * [backup-simplify]: Simplify (+ 1 0) into 1 5.550 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 5.551 * [backup-simplify]: Simplify (log 1) into 0 5.551 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.551 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.551 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.551 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.552 * [backup-simplify]: Simplify (+ 0 0) into 0 5.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 5.553 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.554 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.554 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 5.555 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 5.555 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 5.555 * [backup-simplify]: Simplify (+ 0 0) into 0 5.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.558 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.564 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 5.565 * [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)) 5.565 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 5.565 * [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))) 5.565 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 5.566 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 5.566 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 5.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 5.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 5.566 * [taylor]: Taking taylor expansion of 1/3 in N 5.566 * [backup-simplify]: Simplify 1/3 into 1/3 5.566 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 5.566 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.566 * [taylor]: Taking taylor expansion of N in N 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify 1 into 1 5.566 * [backup-simplify]: Simplify (/ 1 1) into 1 5.566 * [taylor]: Taking taylor expansion of 1 in N 5.566 * [backup-simplify]: Simplify 1 into 1 5.566 * [taylor]: Taking taylor expansion of N in N 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify 1 into 1 5.566 * [backup-simplify]: Simplify (+ 1 0) into 1 5.567 * [backup-simplify]: Simplify (/ 1 1) into 1 5.567 * [backup-simplify]: Simplify (log 1) into 0 5.567 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.567 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.567 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.568 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 5.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 5.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 5.568 * [taylor]: Taking taylor expansion of 1/3 in N 5.568 * [backup-simplify]: Simplify 1/3 into 1/3 5.568 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 5.568 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.568 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.568 * [taylor]: Taking taylor expansion of N in N 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [backup-simplify]: Simplify (/ 1 1) into 1 5.568 * [taylor]: Taking taylor expansion of 1 in N 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [taylor]: Taking taylor expansion of N in N 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [backup-simplify]: Simplify (+ 1 0) into 1 5.569 * [backup-simplify]: Simplify (/ 1 1) into 1 5.570 * [backup-simplify]: Simplify (log 1) into 0 5.570 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.570 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.570 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.571 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.572 * [backup-simplify]: Simplify (+ 0 1) into 1 5.573 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.575 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.575 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 5.576 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.577 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.578 * [backup-simplify]: Simplify (+ 0 0) into 0 5.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.582 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.583 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.584 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 5.585 * [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)) 5.585 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.585 * [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))) 5.585 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 5.585 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 5.585 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 5.585 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 5.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 5.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 5.585 * [taylor]: Taking taylor expansion of 1/3 in N 5.585 * [backup-simplify]: Simplify 1/3 into 1/3 5.585 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 5.585 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.585 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.585 * [taylor]: Taking taylor expansion of 1 in N 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.585 * [taylor]: Taking taylor expansion of N in N 5.585 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [taylor]: Taking taylor expansion of N in N 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (- 1) into -1 5.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.587 * [backup-simplify]: Simplify (/ -1 1) into -1 5.587 * [backup-simplify]: Simplify (log -1) into (log -1) 5.587 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.588 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.588 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.588 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.588 * [taylor]: Taking taylor expansion of -1 in N 5.588 * [backup-simplify]: Simplify -1 into -1 5.588 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.589 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.589 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 5.589 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 5.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 5.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 5.589 * [taylor]: Taking taylor expansion of 1/3 in N 5.589 * [backup-simplify]: Simplify 1/3 into 1/3 5.589 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 5.589 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.589 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.589 * [taylor]: Taking taylor expansion of 1 in N 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.589 * [taylor]: Taking taylor expansion of N in N 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (/ 1 1) into 1 5.589 * [taylor]: Taking taylor expansion of N in N 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (- 1) into -1 5.590 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.590 * [backup-simplify]: Simplify (/ -1 1) into -1 5.590 * [backup-simplify]: Simplify (log -1) into (log -1) 5.591 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.591 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 5.591 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 5.591 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.591 * [taylor]: Taking taylor expansion of -1 in N 5.591 * [backup-simplify]: Simplify -1 into -1 5.592 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.592 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.593 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.594 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 5.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (- 0) into 0 5.595 * [backup-simplify]: Simplify (+ 1 0) into 1 5.595 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 5.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.596 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.597 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 5.598 * [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)))))) 5.599 * [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)))))))) 5.599 * [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)))))))) 5.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (- 0) into 0 5.601 * [backup-simplify]: Simplify (+ 0 0) into 0 5.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.604 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 5.605 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 5.606 * [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)))))) 5.607 * [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)))))))) 5.608 * [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)))))))) 5.610 * [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)))) 5.610 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 5.610 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) into (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) 5.610 * [approximate]: Taking taylor expansion of (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) in (N) around 0 5.610 * [taylor]: Taking taylor expansion of (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) in N 5.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2))))) in N 5.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2)))) in N 5.611 * [taylor]: Taking taylor expansion of 1/3 in N 5.611 * [backup-simplify]: Simplify 1/3 into 1/3 5.611 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 2) (pow N 2))) in N 5.611 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 2) (pow N 2)) in N 5.611 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.611 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.611 * [taylor]: Taking taylor expansion of N in N 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [taylor]: Taking taylor expansion of 1 in N 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (+ 0 1) into 1 5.611 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.611 * [taylor]: Taking taylor expansion of N in N 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (* 1 1) into 1 5.611 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (log 1) into 0 5.612 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.612 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 5.612 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 5.612 * [taylor]: Taking taylor expansion of (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) in N 5.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2))))) in N 5.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2)))) in N 5.612 * [taylor]: Taking taylor expansion of 1/3 in N 5.612 * [backup-simplify]: Simplify 1/3 into 1/3 5.612 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 2) (pow N 2))) in N 5.612 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 2) (pow N 2)) in N 5.613 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.613 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.613 * [taylor]: Taking taylor expansion of N in N 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [taylor]: Taking taylor expansion of 1 in N 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [backup-simplify]: Simplify (+ 0 1) into 1 5.613 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.613 * [taylor]: Taking taylor expansion of N in N 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [backup-simplify]: Simplify (* 1 1) into 1 5.613 * [backup-simplify]: Simplify (* 1 1) into 1 5.614 * [backup-simplify]: Simplify (* 1 1) into 1 5.614 * [backup-simplify]: Simplify (log 1) into 0 5.614 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.614 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 5.614 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 5.614 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 5.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.615 * [backup-simplify]: Simplify (+ 1 0) into 1 5.615 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 2 1)) into 2 5.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.618 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.618 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (* 2 (log N)))) into 2/3 5.619 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (pow N 2) 1/3)) 5.619 * [backup-simplify]: Simplify (* 2/3 (pow (pow N 2) 1/3)) into (* 2/3 (pow (pow N 2) 1/3)) 5.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 2 0) (* 1 1))) into 1 5.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.625 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.626 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (* 2 (log N))))) into (- 1/3) 5.628 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (pow N 2) 1/3)) 5.628 * [backup-simplify]: Simplify (* -1/9 (pow (pow N 2) 1/3)) into (* -1/9 (pow (pow N 2) 1/3)) 5.628 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (pow N 2) 1/3)) (pow N 2)) (+ (* (* 2/3 (pow (pow N 2) 1/3)) N) (pow N 2/3))) into (- (+ (* 2/3 (pow (pow N 5) 1/3)) (pow N 2/3)) (* 1/9 (pow (pow N 8) 1/3))) 5.629 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) 5.629 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in (N) around 0 5.629 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in N 5.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))))) in N 5.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)))) in N 5.629 * [taylor]: Taking taylor expansion of 1/3 in N 5.629 * [backup-simplify]: Simplify 1/3 into 1/3 5.629 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))) in N 5.629 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) in N 5.629 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.629 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.629 * [taylor]: Taking taylor expansion of N in N 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify (/ 1 1) into 1 5.629 * [taylor]: Taking taylor expansion of 1 in N 5.629 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (+ 1 0) into 1 5.630 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.630 * [taylor]: Taking taylor expansion of N in N 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (* 1 1) into 1 5.631 * [backup-simplify]: Simplify (* 1 1) into 1 5.631 * [backup-simplify]: Simplify (/ 1 1) into 1 5.631 * [backup-simplify]: Simplify (log 1) into 0 5.632 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.632 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.632 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.632 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in N 5.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))))) in N 5.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)))) in N 5.632 * [taylor]: Taking taylor expansion of 1/3 in N 5.632 * [backup-simplify]: Simplify 1/3 into 1/3 5.632 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))) in N 5.632 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) in N 5.632 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.632 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.632 * [taylor]: Taking taylor expansion of N in N 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [taylor]: Taking taylor expansion of 1 in N 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (+ 1 0) into 1 5.633 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.633 * [taylor]: Taking taylor expansion of N in N 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.634 * [backup-simplify]: Simplify (* 1 1) into 1 5.634 * [backup-simplify]: Simplify (* 1 1) into 1 5.634 * [backup-simplify]: Simplify (/ 1 1) into 1 5.635 * [backup-simplify]: Simplify (log 1) into 0 5.635 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.635 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.635 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.635 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify (+ 0 1) into 1 5.637 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.639 * [backup-simplify]: Simplify (- (/ 2 1) (+ (* 1 (/ 0 1)))) into 2 5.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.641 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.642 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 4 (log N))))) into 2/3 5.642 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 5.643 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 5.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.644 * [backup-simplify]: Simplify (+ 0 0) into 0 5.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.648 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)) (* 2 (/ 0 1)))) into 1 5.649 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.650 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.650 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 4 (log N)))))) into (- 1/3) 5.651 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) 5.651 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) 5.651 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 2/3 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) 5.652 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) 5.652 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 5.652 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 5.652 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) in N 5.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))))) in N 5.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)))) in N 5.652 * [taylor]: Taking taylor expansion of 1/3 in N 5.652 * [backup-simplify]: Simplify 1/3 into 1/3 5.652 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))) in N 5.652 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) in N 5.652 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.652 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.652 * [taylor]: Taking taylor expansion of 1 in N 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.652 * [taylor]: Taking taylor expansion of N in N 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (/ 1 1) into 1 5.653 * [backup-simplify]: Simplify (- 1) into -1 5.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.653 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.653 * [taylor]: Taking taylor expansion of N in N 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 1 into 1 5.653 * [backup-simplify]: Simplify (* -1 -1) into 1 5.653 * [backup-simplify]: Simplify (* 1 1) into 1 5.654 * [backup-simplify]: Simplify (/ 1 1) into 1 5.654 * [backup-simplify]: Simplify (log 1) into 0 5.654 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.654 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.654 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.654 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.654 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.654 * [taylor]: Taking taylor expansion of -1 in N 5.654 * [backup-simplify]: Simplify -1 into -1 5.655 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.655 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.655 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 5.655 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) in N 5.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))))) in N 5.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)))) in N 5.655 * [taylor]: Taking taylor expansion of 1/3 in N 5.655 * [backup-simplify]: Simplify 1/3 into 1/3 5.655 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))) in N 5.655 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) in N 5.655 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.655 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.655 * [taylor]: Taking taylor expansion of 1 in N 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.655 * [taylor]: Taking taylor expansion of N in N 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [backup-simplify]: Simplify (/ 1 1) into 1 5.656 * [backup-simplify]: Simplify (- 1) into -1 5.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.656 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.656 * [taylor]: Taking taylor expansion of N in N 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (* -1 -1) into 1 5.657 * [backup-simplify]: Simplify (* 1 1) into 1 5.657 * [backup-simplify]: Simplify (/ 1 1) into 1 5.657 * [backup-simplify]: Simplify (log 1) into 0 5.657 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.657 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 5.658 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 5.658 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.658 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.658 * [taylor]: Taking taylor expansion of -1 in N 5.658 * [backup-simplify]: Simplify -1 into -1 5.658 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.658 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.659 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.660 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) 5.661 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) 5.661 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.662 * [backup-simplify]: Simplify (- 0) into 0 5.662 * [backup-simplify]: Simplify (+ 1 0) into 1 5.662 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 5.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.663 * [backup-simplify]: Simplify (- (/ -2 1) (+ (* 1 (/ 0 1)))) into -2 5.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 5.665 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.665 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 4 (log N))))) into (- 2/3) 5.665 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) 5.666 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (* (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2))) into (- (* 2/3 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 5.667 * [backup-simplify]: Simplify (- (* 2/3 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 2/3 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 5.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.669 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.669 * [backup-simplify]: Simplify (- 0) into 0 5.670 * [backup-simplify]: Simplify (+ 0 0) into 0 5.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 5.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.673 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)) (* -2 (/ 0 1)))) into 1 5.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.675 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 5.676 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 4 (log N)))))) into (- 1/3) 5.678 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) 5.680 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (+ (* (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) 0) (* (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2)))) into (- (* 1/9 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 5.681 * [backup-simplify]: Simplify (- (* 1/9 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 1/9 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 5.685 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2/3 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (/ 1 (- N))) (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) into (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 2/3 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 1/9 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)))) 5.686 * * * [progress]: simplifying candidates 5.686 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 5.686 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 5.686 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 5.686 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 5.686 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 5.686 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 5.686 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 5.686 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 5.686 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 12 / 88 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) N))))))))> 5.687 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 16 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 5.687 * * * * [progress]: [ 24 / 88 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))> 5.687 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 32 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 36 / 88 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))> 5.688 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 5.688 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 5.689 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 5.690 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #real (real->posit16 (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))> 5.691 * * * * [progress]: [ 76 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 5.691 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 5.692 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 5.693 * [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))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1) N) (* (+ N 1) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1) N))) (log (cbrt (* (+ N 1) N)))) (log (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (exp (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (* (+ N 1) N) (* (+ N 1) N)) (* (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (- (* N N) (* 1 1)) N))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1))) (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (- (* N N) (* 1 1)) N))) (* (cbrt (- N 1)) (cbrt (- N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* 1 1) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1) N)) (cbrt (+ N 1))) (* (cbrt (* (+ N 1) N)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))) (* (cbrt (* (+ N 1) N)) (sqrt (cbrt (* (+ N 1) N)))) (* (cbrt (* (+ N 1) N)) 1) (* (cbrt N) (cbrt (* (+ N 1) N))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (* (sqrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (- (* N N) (* 1 1)) N))) (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ N 1) N))) (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ N 1) N))) (real->posit16 (* (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)))) (- (+ (* 2/3 (pow (pow N 5) 1/3)) (pow N 2/3)) (* 1/9 (pow (pow N 8) 1/3))) (- (+ (* 2/3 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 2/3 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 1/9 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)))) 5.696 * * [simplify]: iteration 1: (138 enodes) 5.745 * * [simplify]: iteration 2: (325 enodes) 5.917 * * [simplify]: iteration 3: (916 enodes) 6.448 * * [simplify]: Extracting #0: cost 46 inf + 0 6.449 * * [simplify]: Extracting #1: cost 191 inf + 3 6.450 * * [simplify]: Extracting #2: cost 361 inf + 623 6.453 * * [simplify]: Extracting #3: cost 433 inf + 8230 6.462 * * [simplify]: Extracting #4: cost 321 inf + 45952 6.478 * * [simplify]: Extracting #5: cost 179 inf + 104053 6.495 * * [simplify]: Extracting #6: cost 115 inf + 126391 6.516 * * [simplify]: Extracting #7: cost 88 inf + 136199 6.536 * * [simplify]: Extracting #8: cost 44 inf + 155311 6.568 * * [simplify]: Extracting #9: cost 4 inf + 177614 6.593 * * [simplify]: Extracting #10: cost 0 inf + 178769 6.626 * * [simplify]: Extracting #11: cost 0 inf + 178529 6.662 * [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) 1) 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) 1) 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) 1) 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))) 2/3 2 (* (+ (* N N) N) (+ (* N N) N)) (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) 2 (log (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) (log (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) (exp (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) (* (+ (* N N) N) (+ (* N N) N)) (* (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))))) (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) (* (+ (* N N) N) (+ (* N N) N)) (fabs (cbrt (+ (* N N) N))) (fabs (cbrt (+ (* N N) N))) (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ N (* (* N N) (* N N))))) (* (cbrt (+ (- 1 N) (* N N))) (cbrt (+ (- 1 N) (* N N)))) (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (* (- (* N N) 1) N))) (* (cbrt (- N 1)) (cbrt (+ (- 1 N) (* N N)))) (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (* (- (* N N) 1) N))) (* (cbrt (- N 1)) (cbrt (+ (- 1 N) (* N N)))) (* (cbrt (* (- (* N N) 1) N)) (cbrt (* (- (* N N) 1) N))) (* (cbrt (- N 1)) (cbrt (- N 1))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)) (* (cbrt (+ (* N N) N)) (cbrt (cbrt (+ (* N N) N)))) (* (cbrt (cbrt (+ (* N N) N))) (cbrt (cbrt (+ (* N N) N)))) (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)) 1 (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)) 2/3 2 (* (cbrt (+ 1 N)) (cbrt (+ (* N N) N))) (* (* (cbrt (+ (* N N) N)) (cbrt (cbrt (+ (* N N) N)))) (cbrt (cbrt (+ (* N N) N)))) (* (cbrt (+ (* N N) N)) (sqrt (cbrt (+ (* N N) N)))) (cbrt (+ (* N N) N)) (* (cbrt (+ (* N N) N)) (cbrt N)) (* (cbrt (+ (* N N) N)) (cbrt (cbrt (+ (* N N) N)))) (* (cbrt (+ (* N N) N)) (sqrt (cbrt (+ (* N N) N)))) (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) (* (cbrt (+ (* N N) N)) (cbrt (+ N (* (* N N) (* N N))))) (* (cbrt (* (- (* N N) 1) N)) (cbrt (+ (* N N) N))) (* (cbrt (+ (* N N) N)) (cbrt (+ N (* (* N N) (* N N))))) (* (cbrt (* (- (* N N) 1) N)) (cbrt (+ (* N N) N))) (real->posit16 (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) 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) (* (cbrt (/ (/ 1 (* N N)) (* N N))) 1/9))) (+ (- (* (/ (* 1/3 (cbrt -1)) N) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (/ (* N N) (cbrt -1))))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -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) (* (cbrt (/ (/ 1 (* N N)) (* N N))) 1/9))) (+ (- (* (/ (* 1/3 (cbrt -1)) N) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (/ (* N N) (cbrt -1))))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -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) (* (cbrt (/ (/ 1 (* N N)) (* N N))) 1/9))) (+ (- (* (/ (* 1/3 (cbrt -1)) N) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (/ (* N N) (cbrt -1))))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))) (+ (+ (* (cbrt N) (cbrt N)) (* 2/3 (cbrt (pow N 5)))) (* -1/9 (cbrt (* (* (* N N) (* N N)) (* (* N N) (* N N)))))) (- (+ (* 2/3 (cbrt N)) (pow (/ 1 N) -4/3)) (* 1/9 (cbrt (/ 1 (* N N))))) (* (* (cbrt -1) (cbrt -1)) (+ (+ (* 2/3 (cbrt N)) (* -1/9 (cbrt (/ 1 (* N N))))) (cbrt (* (* N N) (* N N))))) 6.677 * * * [progress]: adding candidates to table 7.468 * * [progress]: iteration 4 / 4 7.468 * * * [progress]: picking best candidate 7.473 * * * * [pick]: Picked # 7.473 * * * [progress]: localizing error 7.490 * * * [progress]: generating rewritten candidates 7.490 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.495 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.496 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.505 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.506 * * * [progress]: generating series expansions 7.506 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.506 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.506 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 7.506 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 7.506 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.506 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.506 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.506 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 7.506 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.507 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.507 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.507 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.507 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.508 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.509 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.510 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.510 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.511 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 7.511 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 7.511 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 7.511 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.511 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.511 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 7.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.511 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 7.511 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.511 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.511 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 7.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.512 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 7.512 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.514 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.516 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.517 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.518 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 7.518 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 7.518 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 7.518 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.518 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.518 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 7.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.518 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 7.519 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.519 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.519 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 7.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.519 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 7.519 * [backup-simplify]: Simplify 0 into 0 7.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.520 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.521 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.523 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.524 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.525 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.525 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 7.525 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 7.525 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.525 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.525 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.525 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 7.525 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.525 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.525 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.525 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.525 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.526 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.527 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.528 * [backup-simplify]: Simplify 0 into 0 7.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.529 * [backup-simplify]: Simplify 0 into 0 7.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 7.529 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.530 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 7.530 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 7.530 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 7.530 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.530 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.530 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 7.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.530 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 7.530 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.530 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.530 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 7.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.531 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 7.531 * [backup-simplify]: Simplify 0 into 0 7.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.531 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.532 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.533 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.533 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 7.534 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.534 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 7.534 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 7.534 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 7.534 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.534 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.534 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 7.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.535 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 7.535 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.535 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.535 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 7.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.535 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 7.535 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.536 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.537 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 7.539 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.539 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.539 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 7.539 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.539 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.539 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.539 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.539 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.540 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.540 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 7.540 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.540 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.540 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.540 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.540 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.541 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.541 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 7.541 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.541 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.541 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.541 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.541 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.542 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.542 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.542 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 7.542 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.542 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.542 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.542 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.542 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.542 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.542 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 7.542 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.543 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.543 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.543 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.543 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.543 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.543 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 7.543 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.543 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.543 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 7.543 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.544 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.544 * * * [progress]: simplifying candidates 7.544 * * * * [progress]: [ 1 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 2 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 3 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 4 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 5 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 6 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 7 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 8 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 9 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 10 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 11 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 12 / 98 ] simplifiying candidate # 7.544 * * * * [progress]: [ 13 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 14 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 7.545 * * * * [progress]: [ 15 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 16 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 17 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 18 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 19 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 20 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 21 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 22 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 23 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 24 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 25 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 26 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 27 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 28 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> 7.545 * * * * [progress]: [ 29 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 30 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 31 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 32 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 33 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 34 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 35 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 36 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 37 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 38 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 39 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 40 / 98 ] simplifiying candidate # 7.545 * * * * [progress]: [ 41 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 42 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 43 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 44 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 45 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 46 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 47 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 48 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 49 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 50 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 51 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 52 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 53 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 54 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 55 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 56 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 57 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 58 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 59 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 60 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 61 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 62 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 63 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 64 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 65 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 66 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 67 / 98 ] simplifiying candidate # 7.546 * * * * [progress]: [ 68 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 69 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 70 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 71 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 72 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 73 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 74 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 75 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 76 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 77 / 98 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 7.547 * * * * [progress]: [ 78 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 79 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 80 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 81 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 82 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 83 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 84 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 85 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 86 / 98 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))> 7.547 * * * * [progress]: [ 87 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 88 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 89 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 90 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 91 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 92 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 93 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 94 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 95 / 98 ] simplifiying candidate # 7.547 * * * * [progress]: [ 96 / 98 ] simplifiying candidate # 7.548 * * * * [progress]: [ 97 / 98 ] simplifiying candidate # 7.548 * * * * [progress]: [ 98 / 98 ] simplifiying candidate # 7.548 * [simplify]: Simplifying: (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (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))))) (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1) (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* 1 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (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)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) 7.550 * * [simplify]: iteration 1: (65 enodes) 7.568 * * [simplify]: iteration 2: (123 enodes) 7.593 * * [simplify]: iteration 3: (237 enodes) 7.664 * * [simplify]: iteration 4: (416 enodes) 7.820 * * [simplify]: iteration 5: (872 enodes) 9.321 * * [simplify]: Extracting #0: cost 26 inf + 0 9.322 * * [simplify]: Extracting #1: cost 245 inf + 3 9.324 * * [simplify]: Extracting #2: cost 515 inf + 11 9.327 * * [simplify]: Extracting #3: cost 510 inf + 3766 9.334 * * [simplify]: Extracting #4: cost 420 inf + 47556 9.398 * * [simplify]: Extracting #5: cost 74 inf + 290231 9.467 * * [simplify]: Extracting #6: cost 0 inf + 352511 9.530 * [simplify]: Simplified to: (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1))) (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) 1 (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1/2 (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (real->posit16 (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1))) (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) 1 (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1/2 (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (real->posit16 (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) 1 1 2 1 1 (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) 2 (log (atan2 1 (+ (* (+ N 1) N) 1))) (log (atan2 1 (+ (* (+ N 1) N) 1))) (exp (atan2 1 (+ (* (+ N 1) N) 1))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))) (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1 (atan2 1 (+ (* (+ N 1) N) 1)) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1 (atan2 1 (+ (* (+ N 1) N) 1)) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1 2 1 (* (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (atan2 1 (+ (* (+ N 1) N) 1)) (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (atan2 1 (+ (* (+ N 1) N) 1)) (real->posit16 (atan2 1 (+ (* (+ N 1) N) 1))) (log (atan2 1 (+ (* (+ N 1) N) 1))) (exp (atan2 1 (+ (* (+ N 1) N) 1))) (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (real->posit16 (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) 9.535 * * * [progress]: adding candidates to table 10.228 * [progress]: [Phase 3 of 3] Extracting. 10.228 * * [regime]: Finding splitpoints for: (# # # #) 10.229 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.229 * * * * [regimes]: Trying to branch on N from (# # # #) 10.263 * * * [regime]: Found split indices: #