32.288 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.067 * * * [progress]: [2/2] Setting up program. 0.072 * [progress]: [Phase 2 of 3] Improving. 0.072 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.072 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.073 * * [simplify]: iteration 0: 6 enodes 0.075 * * [simplify]: iteration 1: 11 enodes 0.077 * * [simplify]: iteration 2: 12 enodes 0.080 * * [simplify]: iteration complete: 12 enodes 0.081 * * [simplify]: Extracting #0: cost 1 inf + 0 0.081 * * [simplify]: Extracting #1: cost 4 inf + 0 0.081 * * [simplify]: Extracting #2: cost 6 inf + 0 0.081 * * [simplify]: Extracting #3: cost 4 inf + 253 0.081 * * [simplify]: Extracting #4: cost 0 inf + 735 0.081 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.126 * * * [progress]: generating rewritten candidates 0.126 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.138 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.141 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.141 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.141 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.141 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.142 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.142 * [taylor]: Taking taylor expansion of (atan N) in N 0.142 * [backup-simplify]: Simplify (atan N) into (atan N) 0.142 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.143 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.143 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.143 * [taylor]: Taking taylor expansion of (atan N) in N 0.143 * [backup-simplify]: Simplify (atan N) into (atan N) 0.143 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.143 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.143 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.149 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.149 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.149 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.149 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.149 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.149 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.149 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.149 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.149 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.149 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.149 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.149 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.149 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.149 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.150 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.155 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.155 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.155 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.155 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.155 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.155 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.155 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.155 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.155 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.155 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.155 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.155 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.156 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.156 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.156 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.161 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.161 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.161 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.161 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.161 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.162 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.162 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.162 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.162 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.162 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.162 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.162 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.163 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.163 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.163 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.163 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.163 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.163 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.164 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.164 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.164 * * * [progress]: simplifying candidates 0.164 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.164 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.164 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.164 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.164 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.165 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.165 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.166 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.166 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.166 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.166 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.166 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.166 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.166 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.166 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.166 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.167 * [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)) 0.167 * * [simplify]: iteration 0: 41 enodes 0.182 * * [simplify]: iteration 1: 77 enodes 0.211 * * [simplify]: iteration 2: 151 enodes 0.272 * * [simplify]: iteration 3: 313 enodes 0.375 * * [simplify]: iteration 4: 719 enodes 0.747 * * [simplify]: iteration 5: 2018 enodes 1.414 * * [simplify]: iteration complete: 5000 enodes 1.414 * * [simplify]: Extracting #0: cost 25 inf + 0 1.415 * * [simplify]: Extracting #1: cost 269 inf + 1 1.417 * * [simplify]: Extracting #2: cost 935 inf + 2406 1.424 * * [simplify]: Extracting #3: cost 1349 inf + 26197 1.473 * * [simplify]: Extracting #4: cost 626 inf + 229978 1.568 * * [simplify]: Extracting #5: cost 178 inf + 466126 1.678 * * [simplify]: Extracting #6: cost 74 inf + 530805 1.773 * * [simplify]: Extracting #7: cost 12 inf + 552590 1.892 * * [simplify]: Extracting #8: cost 0 inf + 556886 1.982 * [simplify]: Simplified to: 1 (+ (+ (* N N) N) 1) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (atan N) (* (atan N) (atan N)))) (+ (* (atan N) (atan N)) (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N))))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan N) (atan (+ 1 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (log (atan (+ 1 N))) (exp (atan (+ 1 N))) (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (real->posit16 (atan (+ 1 N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan (+ 1 N)) (atan (+ 1 N)) 1.983 * * * [progress]: adding candidates to table 2.105 * * [progress]: iteration 2 / 4 2.105 * * * [progress]: picking best candidate 2.109 * * * * [pick]: Picked # 2.109 * * * [progress]: localizing error 2.133 * * * [progress]: generating rewritten candidates 2.133 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.134 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.171 * * * [progress]: generating series expansions 2.171 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.172 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.172 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.172 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.172 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.172 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.172 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.172 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.173 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.173 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.173 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.173 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.173 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.173 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.174 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.174 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.174 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.174 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.175 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.175 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.175 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.175 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.176 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.176 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 2.176 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 2.176 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.176 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.176 * [taylor]: Taking taylor expansion of N in N 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [taylor]: Taking taylor expansion of 1 in N 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [taylor]: Taking taylor expansion of N in N 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.176 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.176 * [taylor]: Taking taylor expansion of N in N 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [taylor]: Taking taylor expansion of 1 in N 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [taylor]: Taking taylor expansion of N in N 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (+ 0 1) into 1 2.177 * [backup-simplify]: Simplify (* 1 0) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (+ 1 0) into 1 2.179 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.186 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 2.191 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 2.191 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 2.191 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.191 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.191 * [taylor]: Taking taylor expansion of N in N 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.191 * [taylor]: Taking taylor expansion of 1 in N 2.191 * [backup-simplify]: Simplify 1 into 1 2.191 * [taylor]: Taking taylor expansion of N in N 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (+ 1 0) into 1 2.192 * [backup-simplify]: Simplify (/ 1 1) into 1 2.192 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.192 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.192 * [taylor]: Taking taylor expansion of N in N 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [taylor]: Taking taylor expansion of 1 in N 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [taylor]: Taking taylor expansion of N in N 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (+ 1 0) into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (+ 0 1) into 1 2.195 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.195 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify (+ 0 0) into 0 2.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.206 * [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 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [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 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [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 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 2.209 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 2.209 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 2.209 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.209 * [taylor]: Taking taylor expansion of -1 in N 2.209 * [backup-simplify]: Simplify -1 into -1 2.209 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.209 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.209 * [taylor]: Taking taylor expansion of 1 in N 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.209 * [taylor]: Taking taylor expansion of N in N 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (/ 1 1) into 1 2.210 * [taylor]: Taking taylor expansion of N in N 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (- 1) into -1 2.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.211 * [backup-simplify]: Simplify (/ -1 1) into -1 2.211 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.211 * [taylor]: Taking taylor expansion of -1 in N 2.211 * [backup-simplify]: Simplify -1 into -1 2.211 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.211 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.211 * [taylor]: Taking taylor expansion of 1 in N 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.211 * [taylor]: Taking taylor expansion of N in N 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [backup-simplify]: Simplify (/ 1 1) into 1 2.212 * [taylor]: Taking taylor expansion of N in N 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [backup-simplify]: Simplify (- 1) into -1 2.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.213 * [backup-simplify]: Simplify (/ -1 1) into -1 2.213 * [backup-simplify]: Simplify (* -1 -1) into 1 2.213 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (- 0) into 0 2.215 * [backup-simplify]: Simplify (+ 1 0) into 1 2.216 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 2.216 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.216 * [backup-simplify]: Simplify -1 into -1 2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (- 0) into 0 2.218 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (- 0) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (- 0) into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (- 0) into 0 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [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 2.238 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.239 * [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 2.240 * [backup-simplify]: Simplify (- 0) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [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 2.244 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 2.245 * * * [progress]: simplifying candidates 2.245 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.245 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 2.245 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 2.246 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 2.247 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 2.247 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 2.247 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 2.247 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 2.247 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 2.247 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 2.247 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 2.248 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) (* (+ N 1) N) (+ (log (+ N 1)) (log N)) (log (* (+ N 1) N)) (exp (* (+ N 1) N)) (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)) (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)) (* (+ N 1) (* (cbrt N) (cbrt N))) (* (+ N 1) (sqrt N)) (* (+ N 1) 1) (* (cbrt (+ N 1)) N) (* (sqrt (+ N 1)) N) (* (+ N 1) N) (* (+ N 1) N) (* (+ (pow N 3) (pow 1 3)) N) (* (- (* N N) (* 1 1)) N) (real->posit16 (* (+ N 1) N)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 2.248 * * [simplify]: iteration 0: 55 enodes 2.263 * * [simplify]: iteration 1: 121 enodes 2.299 * * [simplify]: iteration 2: 266 enodes 2.426 * * [simplify]: iteration 3: 706 enodes 3.167 * * [simplify]: iteration 4: 2728 enodes 4.508 * * [simplify]: iteration complete: 5008 enodes 4.508 * * [simplify]: Extracting #0: cost 25 inf + 0 4.509 * * [simplify]: Extracting #1: cost 369 inf + 0 4.514 * * [simplify]: Extracting #2: cost 1238 inf + 5618 4.538 * * [simplify]: Extracting #3: cost 1185 inf + 80716 4.590 * * [simplify]: Extracting #4: cost 386 inf + 267801 4.649 * * [simplify]: Extracting #5: cost 29 inf + 379578 4.709 * * [simplify]: Extracting #6: cost 3 inf + 388627 4.782 * * [simplify]: Extracting #7: cost 0 inf + 389508 4.887 * [simplify]: Simplified to: (log (atan2 1 (+ (* (+ 1 N) N) 1))) (exp (atan2 1 (+ (* (+ 1 N) N) 1))) (* (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1)))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (atan2 1 (+ (* (+ 1 N) N) 1)))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (real->posit16 (atan2 1 (+ (* (+ 1 N) N) 1))) (* (+ 1 N) N) (log (* (+ 1 N) N)) (log (* (+ 1 N) N)) (exp (* (+ 1 N) N)) (* (* (+ 1 N) N) (* (* (+ 1 N) N) (* (+ 1 N) N))) (* (cbrt (* (+ 1 N) N)) (cbrt (* (+ 1 N) N))) (cbrt (* (+ 1 N) N)) (* (* (+ 1 N) N) (* (* (+ 1 N) N) (* (+ 1 N) N))) (sqrt (* (+ 1 N) N)) (sqrt (* (+ 1 N) N)) (* (sqrt N) (sqrt (+ 1 N))) (* (sqrt N) (sqrt (+ 1 N))) (* (* (+ 1 N) (cbrt N)) (cbrt N)) (* (sqrt N) (+ 1 N)) (+ 1 N) (* (cbrt (+ 1 N)) N) (* N (sqrt (+ 1 N))) (* (+ 1 N) N) (* (+ 1 N) N) (+ N (* (* N N) (* N N))) (* (- (* N N) 1) N) (real->posit16 (* (+ 1 N) N)) (atan2 1 (+ (+ 1 N) (* N N))) (atan2 1 (+ (+ 1 N) (* N N))) (atan2 1 (+ (+ 1 N) (* N N))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 4.890 * * * [progress]: adding candidates to table 4.988 * * [progress]: iteration 3 / 4 4.988 * * * [progress]: picking best candidate 5.006 * * * * [pick]: Picked # 5.006 * * * [progress]: localizing error 5.016 * * * [progress]: generating rewritten candidates 5.016 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.017 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 5.039 * * * [progress]: generating series expansions 5.039 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.040 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* N (+ N 1)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.040 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 5.040 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.040 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.040 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.040 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.040 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.041 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (/ 1 N) (+ (/ 1 N) 1)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.041 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 5.041 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.041 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.041 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.041 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.041 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.042 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.043 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 5.043 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.043 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.043 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.043 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.043 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.044 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 5.044 * [backup-simplify]: Simplify (* N (+ N 1)) into (* N (+ N 1)) 5.044 * [approximate]: Taking taylor expansion of (* N (+ N 1)) in (N) around 0 5.044 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.044 * [taylor]: Taking taylor expansion of N in N 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.044 * [taylor]: Taking taylor expansion of N in N 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [taylor]: Taking taylor expansion of 1 in N 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.044 * [taylor]: Taking taylor expansion of N in N 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.044 * [taylor]: Taking taylor expansion of N in N 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [taylor]: Taking taylor expansion of 1 in N 5.044 * [backup-simplify]: Simplify 1 into 1 5.045 * [backup-simplify]: Simplify (+ 0 1) into 1 5.045 * [backup-simplify]: Simplify (* 0 1) into 0 5.045 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify (+ 1 0) into 1 5.046 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.046 * [backup-simplify]: Simplify 1 into 1 5.047 * [backup-simplify]: Simplify (+ 0 0) into 0 5.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.047 * [backup-simplify]: Simplify 1 into 1 5.048 * [backup-simplify]: Simplify (+ 0 0) into 0 5.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify (+ 0 0) into 0 5.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify (+ 0 0) into 0 5.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify (+ 0 0) into 0 5.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (+ 0 0) into 0 5.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (+ 0 0) into 0 5.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 5.058 * [backup-simplify]: Simplify (* (/ 1 N) (+ (/ 1 N) 1)) into (/ (+ (/ 1 N) 1) N) 5.058 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 5.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.058 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.058 * [taylor]: Taking taylor expansion of N in N 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (/ 1 1) into 1 5.059 * [taylor]: Taking taylor expansion of 1 in N 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [taylor]: Taking taylor expansion of N in N 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (+ 1 0) into 1 5.060 * [backup-simplify]: Simplify (/ 1 1) into 1 5.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.060 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.060 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.060 * [taylor]: Taking taylor expansion of N in N 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (/ 1 1) into 1 5.060 * [taylor]: Taking taylor expansion of 1 in N 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [taylor]: Taking taylor expansion of N in N 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.061 * [backup-simplify]: Simplify (+ 1 0) into 1 5.061 * [backup-simplify]: Simplify (/ 1 1) into 1 5.061 * [backup-simplify]: Simplify 1 into 1 5.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.062 * [backup-simplify]: Simplify (+ 0 1) into 1 5.063 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.063 * [backup-simplify]: Simplify 1 into 1 5.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.064 * [backup-simplify]: Simplify (+ 0 0) into 0 5.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.064 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.065 * [backup-simplify]: Simplify (+ 0 0) into 0 5.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.067 * [backup-simplify]: Simplify (+ 0 0) into 0 5.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.067 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.068 * [backup-simplify]: Simplify (+ 0 0) into 0 5.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.069 * [backup-simplify]: Simplify 0 into 0 5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.070 * [backup-simplify]: Simplify (+ 0 0) into 0 5.070 * [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 5.070 * [backup-simplify]: Simplify 0 into 0 5.071 * [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 5.071 * [backup-simplify]: Simplify (+ 0 0) into 0 5.072 * [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 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 5.072 * [backup-simplify]: Simplify (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) into (* -1 (/ (- 1 (/ 1 N)) N)) 5.072 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 5.072 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 5.072 * [taylor]: Taking taylor expansion of -1 in N 5.072 * [backup-simplify]: Simplify -1 into -1 5.072 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.072 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.072 * [taylor]: Taking taylor expansion of 1 in N 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.072 * [taylor]: Taking taylor expansion of N in N 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify (/ 1 1) into 1 5.072 * [taylor]: Taking taylor expansion of N in N 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (- 1) into -1 5.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.073 * [backup-simplify]: Simplify (/ -1 1) into -1 5.073 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 5.073 * [taylor]: Taking taylor expansion of -1 in N 5.073 * [backup-simplify]: Simplify -1 into -1 5.073 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.073 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.073 * [taylor]: Taking taylor expansion of 1 in N 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.073 * [taylor]: Taking taylor expansion of N in N 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ 1 1) into 1 5.074 * [taylor]: Taking taylor expansion of N in N 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (- 1) into -1 5.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.074 * [backup-simplify]: Simplify (/ -1 1) into -1 5.075 * [backup-simplify]: Simplify (* -1 -1) into 1 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.075 * [backup-simplify]: Simplify (- 0) into 0 5.076 * [backup-simplify]: Simplify (+ 1 0) into 1 5.076 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 5.077 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 5.077 * [backup-simplify]: Simplify -1 into -1 5.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.077 * [backup-simplify]: Simplify (- 0) into 0 5.078 * [backup-simplify]: Simplify (+ 0 0) into 0 5.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (- 0) into 0 5.080 * [backup-simplify]: Simplify (+ 0 0) into 0 5.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (- 0) into 0 5.082 * [backup-simplify]: Simplify (+ 0 0) into 0 5.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (- 0) into 0 5.085 * [backup-simplify]: Simplify (+ 0 0) into 0 5.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.086 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify (- 0) into 0 5.090 * [backup-simplify]: Simplify (+ 0 0) into 0 5.091 * [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 5.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [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 5.093 * [backup-simplify]: Simplify (- 0) into 0 5.093 * [backup-simplify]: Simplify (+ 0 0) into 0 5.094 * [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 5.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 5.095 * * * [progress]: simplifying candidates 5.095 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 8 / 40 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* N (+ N 1)))))))> 5.095 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 5.095 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #real (real->posit16 (* N (+ N 1)))))))> 5.096 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 5.096 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 5.097 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* N (+ N 1))))) (exp (atan2 1 (+ 1 (* N (+ N 1))))) (* (cbrt (atan2 1 (+ 1 (* N (+ N 1))))) (cbrt (atan2 1 (+ 1 (* N (+ N 1)))))) (cbrt (atan2 1 (+ 1 (* N (+ N 1))))) (* (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (+ 1 (* N (+ N 1))))) (atan2 1 (+ 1 (* N (+ N 1))))) (sqrt (atan2 1 (+ 1 (* N (+ N 1))))) (sqrt (atan2 1 (+ 1 (* N (+ N 1))))) (real->posit16 (atan2 1 (+ 1 (* N (+ N 1))))) (* N (+ N 1)) (+ (log N) (log (+ N 1))) (log (* N (+ N 1))) (exp (* N (+ N 1))) (* (* (* N N) N) (* (* (+ N 1) (+ N 1)) (+ N 1))) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1))) (* (* (* N (+ N 1)) (* N (+ N 1))) (* N (+ N 1))) (sqrt (* N (+ N 1))) (sqrt (* N (+ N 1))) (* (sqrt N) (sqrt (+ N 1))) (* (sqrt N) (sqrt (+ N 1))) (* N N) (* N 1) (* N 1) (* N N) (* N N) (* 1 N) (* 1 N) (* N N) (* N (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* N (sqrt (+ N 1))) (* N 1) (* N 1) (* (cbrt N) (+ N 1)) (* (sqrt N) (+ N 1)) (* N (+ N 1)) (* N (+ (pow N 3) (pow 1 3))) (* N (- (* N N) (* 1 1))) (real->posit16 (* N (+ N 1))) (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)) 5.097 * * [simplify]: iteration 0: 56 enodes 5.123 * * [simplify]: iteration 1: 149 enodes 5.168 * * [simplify]: iteration 2: 504 enodes 5.594 * * [simplify]: iteration 3: 2512 enodes 6.324 * * [simplify]: iteration complete: 5733 enodes 6.324 * * [simplify]: Extracting #0: cost 26 inf + 0 6.325 * * [simplify]: Extracting #1: cost 248 inf + 123 6.330 * * [simplify]: Extracting #2: cost 1994 inf + 9129 6.357 * * [simplify]: Extracting #3: cost 1282 inf + 183581 6.413 * * [simplify]: Extracting #4: cost 75 inf + 361190 6.472 * * [simplify]: Extracting #5: cost 10 inf + 374924 6.532 * * [simplify]: Extracting #6: cost 0 inf + 377894 6.593 * [simplify]: Simplified to: (log (atan2 1 (+ 1 (+ (* N N) N)))) (exp (atan2 1 (+ 1 (+ (* N N) N)))) (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (atan2 1 (+ 1 (+ (* N N) N))) (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (real->posit16 (atan2 1 (+ 1 (+ (* N 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 (+ 1 N)) (sqrt N)) (* (sqrt (+ 1 N)) (sqrt N)) (* N N) N N (* N N) (* N N) N N (* N N) (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (* (sqrt (+ 1 N)) N) N N (+ (cbrt N) (* (cbrt N) N)) (+ (sqrt N) (* N (sqrt N))) (+ (* N N) N) (+ (* (* N N) (* N N)) N) (* (- (* N N) 1) N) (real->posit16 (+ (* N N) N)) (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N))) (atan2 1 (+ (* N N) (+ 1 N))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 6.595 * * * [progress]: adding candidates to table 6.686 * * [progress]: iteration 4 / 4 6.686 * * * [progress]: picking best candidate 6.696 * * * * [pick]: Picked # 6.696 * * * [progress]: localizing error 6.717 * * * [progress]: generating rewritten candidates 6.717 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 6.735 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 6.752 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 6.772 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 6.886 * * * [progress]: generating series expansions 6.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 6.887 * [backup-simplify]: Simplify (cbrt (* N (+ N 1))) into (pow (* N (+ N 1)) 1/3) 6.887 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1)) 1/3) in (N) around 0 6.887 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1)) 1/3) in N 6.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1))))) in N 6.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1)))) in N 6.887 * [taylor]: Taking taylor expansion of 1/3 in N 6.887 * [backup-simplify]: Simplify 1/3 into 1/3 6.887 * [taylor]: Taking taylor expansion of (log (* N (+ N 1))) in N 6.887 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 6.887 * [taylor]: Taking taylor expansion of N in N 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify 1 into 1 6.887 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.887 * [taylor]: Taking taylor expansion of N in N 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify 1 into 1 6.887 * [taylor]: Taking taylor expansion of 1 in N 6.887 * [backup-simplify]: Simplify 1 into 1 6.888 * [backup-simplify]: Simplify (+ 0 1) into 1 6.888 * [backup-simplify]: Simplify (* 0 1) into 0 6.888 * [backup-simplify]: Simplify (+ 1 0) into 1 6.889 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.889 * [backup-simplify]: Simplify (log 1) into 0 6.889 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.889 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.890 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.890 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1)) 1/3) in N 6.890 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1))))) in N 6.890 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1)))) in N 6.890 * [taylor]: Taking taylor expansion of 1/3 in N 6.890 * [backup-simplify]: Simplify 1/3 into 1/3 6.890 * [taylor]: Taking taylor expansion of (log (* N (+ N 1))) in N 6.890 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 6.890 * [taylor]: Taking taylor expansion of N in N 6.890 * [backup-simplify]: Simplify 0 into 0 6.890 * [backup-simplify]: Simplify 1 into 1 6.890 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.890 * [taylor]: Taking taylor expansion of N in N 6.890 * [backup-simplify]: Simplify 0 into 0 6.890 * [backup-simplify]: Simplify 1 into 1 6.890 * [taylor]: Taking taylor expansion of 1 in N 6.890 * [backup-simplify]: Simplify 1 into 1 6.890 * [backup-simplify]: Simplify (+ 0 1) into 1 6.890 * [backup-simplify]: Simplify (* 0 1) into 0 6.891 * [backup-simplify]: Simplify (+ 1 0) into 1 6.891 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.891 * [backup-simplify]: Simplify (log 1) into 0 6.892 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.892 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.892 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.892 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.892 * [backup-simplify]: Simplify (+ 0 0) into 0 6.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.894 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.895 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 6.896 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 6.896 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 6.896 * [backup-simplify]: Simplify (+ 0 0) into 0 6.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.899 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.899 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.900 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 6.901 * [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)) 6.901 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 6.901 * [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))) 6.901 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (+ (/ 1 N) 1))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 6.901 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 6.901 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 6.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 6.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 6.901 * [taylor]: Taking taylor expansion of 1/3 in N 6.901 * [backup-simplify]: Simplify 1/3 into 1/3 6.901 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 6.901 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 6.901 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.901 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.901 * [taylor]: Taking taylor expansion of N in N 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 1 into 1 6.902 * [backup-simplify]: Simplify (/ 1 1) into 1 6.902 * [taylor]: Taking taylor expansion of 1 in N 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [taylor]: Taking taylor expansion of N in N 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [backup-simplify]: Simplify (+ 1 0) into 1 6.902 * [backup-simplify]: Simplify (/ 1 1) into 1 6.902 * [backup-simplify]: Simplify (log 1) into 0 6.903 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.903 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.903 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.903 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 6.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 6.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 6.903 * [taylor]: Taking taylor expansion of 1/3 in N 6.903 * [backup-simplify]: Simplify 1/3 into 1/3 6.903 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 6.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 6.903 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.903 * [taylor]: Taking taylor expansion of N in N 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify 1 into 1 6.903 * [backup-simplify]: Simplify (/ 1 1) into 1 6.903 * [taylor]: Taking taylor expansion of 1 in N 6.903 * [backup-simplify]: Simplify 1 into 1 6.903 * [taylor]: Taking taylor expansion of N in N 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (+ 1 0) into 1 6.904 * [backup-simplify]: Simplify (/ 1 1) into 1 6.904 * [backup-simplify]: Simplify (log 1) into 0 6.904 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.904 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.905 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.905 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (+ 0 1) into 1 6.906 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.907 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.907 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 6.908 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 6.908 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 6.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.909 * [backup-simplify]: Simplify (+ 0 0) into 0 6.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.911 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.912 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 6.912 * [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)) 6.913 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 6.913 * [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))) 6.913 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 6.913 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 6.913 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 6.913 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 6.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 6.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 6.914 * [taylor]: Taking taylor expansion of 1/3 in N 6.914 * [backup-simplify]: Simplify 1/3 into 1/3 6.914 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 6.914 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 6.914 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.914 * [taylor]: Taking taylor expansion of 1 in N 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.914 * [taylor]: Taking taylor expansion of N in N 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [backup-simplify]: Simplify (/ 1 1) into 1 6.914 * [taylor]: Taking taylor expansion of N in N 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [backup-simplify]: Simplify (- 1) into -1 6.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.915 * [backup-simplify]: Simplify (/ -1 1) into -1 6.915 * [backup-simplify]: Simplify (log -1) into (log -1) 6.915 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.916 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.916 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.916 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.916 * [taylor]: Taking taylor expansion of -1 in N 6.916 * [backup-simplify]: Simplify -1 into -1 6.917 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.917 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.917 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 6.917 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 6.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 6.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 6.917 * [taylor]: Taking taylor expansion of 1/3 in N 6.917 * [backup-simplify]: Simplify 1/3 into 1/3 6.917 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 6.917 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 6.917 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.917 * [taylor]: Taking taylor expansion of 1 in N 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.917 * [taylor]: Taking taylor expansion of N in N 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [backup-simplify]: Simplify (/ 1 1) into 1 6.918 * [taylor]: Taking taylor expansion of N in N 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 1 into 1 6.918 * [backup-simplify]: Simplify (- 1) into -1 6.918 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.918 * [backup-simplify]: Simplify (/ -1 1) into -1 6.919 * [backup-simplify]: Simplify (log -1) into (log -1) 6.919 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.919 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.920 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.920 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.920 * [taylor]: Taking taylor expansion of -1 in N 6.920 * [backup-simplify]: Simplify -1 into -1 6.920 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.920 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.921 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.922 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.922 * [backup-simplify]: Simplify (- 0) into 0 6.923 * [backup-simplify]: Simplify (+ 1 0) into 1 6.924 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 6.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 6.925 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.925 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 6.926 * [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)))))) 6.927 * [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)))))))) 6.928 * [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)))))))) 6.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.930 * [backup-simplify]: Simplify (- 0) into 0 6.930 * [backup-simplify]: Simplify (+ 0 0) into 0 6.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.932 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 6.932 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.933 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 6.934 * [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)))))) 6.936 * [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)))))))) 6.936 * [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)))))))) 6.939 * [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)))) 6.939 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 6.939 * [backup-simplify]: Simplify (cbrt (* N (+ N 1))) into (pow (* N (+ N 1)) 1/3) 6.939 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1)) 1/3) in (N) around 0 6.939 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1)) 1/3) in N 6.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1))))) in N 6.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1)))) in N 6.939 * [taylor]: Taking taylor expansion of 1/3 in N 6.939 * [backup-simplify]: Simplify 1/3 into 1/3 6.939 * [taylor]: Taking taylor expansion of (log (* N (+ N 1))) in N 6.939 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 6.939 * [taylor]: Taking taylor expansion of N in N 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.939 * [taylor]: Taking taylor expansion of N in N 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [taylor]: Taking taylor expansion of 1 in N 6.939 * [backup-simplify]: Simplify 1 into 1 6.940 * [backup-simplify]: Simplify (+ 0 1) into 1 6.940 * [backup-simplify]: Simplify (* 0 1) into 0 6.940 * [backup-simplify]: Simplify (+ 1 0) into 1 6.940 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.941 * [backup-simplify]: Simplify (log 1) into 0 6.941 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.941 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.941 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.941 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1)) 1/3) in N 6.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1))))) in N 6.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1)))) in N 6.941 * [taylor]: Taking taylor expansion of 1/3 in N 6.941 * [backup-simplify]: Simplify 1/3 into 1/3 6.941 * [taylor]: Taking taylor expansion of (log (* N (+ N 1))) in N 6.941 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 6.941 * [taylor]: Taking taylor expansion of N in N 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.941 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.941 * [taylor]: Taking taylor expansion of N in N 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.941 * [taylor]: Taking taylor expansion of 1 in N 6.941 * [backup-simplify]: Simplify 1 into 1 6.942 * [backup-simplify]: Simplify (+ 0 1) into 1 6.942 * [backup-simplify]: Simplify (* 0 1) into 0 6.942 * [backup-simplify]: Simplify (+ 1 0) into 1 6.942 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.943 * [backup-simplify]: Simplify (log 1) into 0 6.943 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.943 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.943 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.943 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.943 * [backup-simplify]: Simplify (+ 0 0) into 0 6.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.945 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.945 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 6.946 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 6.946 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 6.946 * [backup-simplify]: Simplify (+ 0 0) into 0 6.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.948 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.948 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.949 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 6.950 * [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)) 6.950 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 6.950 * [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))) 6.950 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (+ (/ 1 N) 1))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 6.950 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 6.950 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 6.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 6.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 6.950 * [taylor]: Taking taylor expansion of 1/3 in N 6.951 * [backup-simplify]: Simplify 1/3 into 1/3 6.951 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 6.951 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 6.951 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.951 * [taylor]: Taking taylor expansion of N in N 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.951 * [backup-simplify]: Simplify (/ 1 1) into 1 6.951 * [taylor]: Taking taylor expansion of 1 in N 6.951 * [backup-simplify]: Simplify 1 into 1 6.951 * [taylor]: Taking taylor expansion of N in N 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.951 * [backup-simplify]: Simplify (+ 1 0) into 1 6.951 * [backup-simplify]: Simplify (/ 1 1) into 1 6.952 * [backup-simplify]: Simplify (log 1) into 0 6.952 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.952 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.952 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.952 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 6.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 6.952 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 6.952 * [taylor]: Taking taylor expansion of 1/3 in N 6.952 * [backup-simplify]: Simplify 1/3 into 1/3 6.952 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 6.952 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 6.952 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.952 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.952 * [taylor]: Taking taylor expansion of N in N 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (/ 1 1) into 1 6.953 * [taylor]: Taking taylor expansion of 1 in N 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [taylor]: Taking taylor expansion of N in N 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (+ 1 0) into 1 6.953 * [backup-simplify]: Simplify (/ 1 1) into 1 6.953 * [backup-simplify]: Simplify (log 1) into 0 6.954 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.954 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 6.954 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 6.954 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.955 * [backup-simplify]: Simplify (+ 0 1) into 1 6.955 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.956 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.956 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 6.957 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 6.957 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.958 * [backup-simplify]: Simplify (+ 0 0) into 0 6.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.960 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 6.961 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 6.962 * [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)) 6.962 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 6.962 * [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))) 6.962 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 6.962 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 6.962 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 6.962 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 6.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 6.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 6.963 * [taylor]: Taking taylor expansion of 1/3 in N 6.963 * [backup-simplify]: Simplify 1/3 into 1/3 6.963 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 6.963 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 6.963 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.963 * [taylor]: Taking taylor expansion of 1 in N 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.963 * [taylor]: Taking taylor expansion of N in N 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [backup-simplify]: Simplify (/ 1 1) into 1 6.963 * [taylor]: Taking taylor expansion of N in N 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [backup-simplify]: Simplify (- 1) into -1 6.964 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.964 * [backup-simplify]: Simplify (/ -1 1) into -1 6.967 * [backup-simplify]: Simplify (log -1) into (log -1) 6.967 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.968 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.968 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.968 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.968 * [taylor]: Taking taylor expansion of -1 in N 6.968 * [backup-simplify]: Simplify -1 into -1 6.968 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.969 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.969 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 6.969 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 6.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 6.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 6.969 * [taylor]: Taking taylor expansion of 1/3 in N 6.969 * [backup-simplify]: Simplify 1/3 into 1/3 6.969 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 6.969 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 6.969 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.969 * [taylor]: Taking taylor expansion of 1 in N 6.969 * [backup-simplify]: Simplify 1 into 1 6.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.969 * [taylor]: Taking taylor expansion of N in N 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 1 into 1 6.969 * [backup-simplify]: Simplify (/ 1 1) into 1 6.969 * [taylor]: Taking taylor expansion of N in N 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 1 into 1 6.970 * [backup-simplify]: Simplify (- 1) into -1 6.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.970 * [backup-simplify]: Simplify (/ -1 1) into -1 6.970 * [backup-simplify]: Simplify (log -1) into (log -1) 6.971 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.971 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 6.971 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 6.971 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.972 * [taylor]: Taking taylor expansion of -1 in N 6.972 * [backup-simplify]: Simplify -1 into -1 6.972 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.972 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.973 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.973 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 6.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.974 * [backup-simplify]: Simplify (- 0) into 0 6.975 * [backup-simplify]: Simplify (+ 1 0) into 1 6.975 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 6.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 6.976 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.977 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 6.978 * [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)))))) 6.979 * [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)))))))) 6.979 * [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)))))))) 6.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (- 0) into 0 6.981 * [backup-simplify]: Simplify (+ 0 0) into 0 6.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 6.984 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 6.985 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 6.986 * [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)))))) 6.987 * [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)))))))) 6.988 * [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)))))))) 6.990 * [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)))) 6.990 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 6.990 * [backup-simplify]: Simplify (cbrt (* N (+ N 1))) into (pow (* N (+ N 1)) 1/3) 6.990 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1)) 1/3) in (N) around 0 6.990 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1)) 1/3) in N 6.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1))))) in N 6.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1)))) in N 6.990 * [taylor]: Taking taylor expansion of 1/3 in N 6.990 * [backup-simplify]: Simplify 1/3 into 1/3 6.990 * [taylor]: Taking taylor expansion of (log (* N (+ N 1))) in N 6.990 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 6.991 * [taylor]: Taking taylor expansion of N in N 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.991 * [taylor]: Taking taylor expansion of N in N 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [taylor]: Taking taylor expansion of 1 in N 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [backup-simplify]: Simplify (+ 0 1) into 1 6.991 * [backup-simplify]: Simplify (* 0 1) into 0 6.991 * [backup-simplify]: Simplify (+ 1 0) into 1 6.992 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.992 * [backup-simplify]: Simplify (log 1) into 0 6.992 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.992 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.992 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.992 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1)) 1/3) in N 6.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1))))) in N 6.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1)))) in N 6.992 * [taylor]: Taking taylor expansion of 1/3 in N 6.992 * [backup-simplify]: Simplify 1/3 into 1/3 6.993 * [taylor]: Taking taylor expansion of (log (* N (+ N 1))) in N 6.993 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 6.993 * [taylor]: Taking taylor expansion of N in N 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 1 into 1 6.993 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.993 * [taylor]: Taking taylor expansion of N in N 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 1 into 1 6.993 * [taylor]: Taking taylor expansion of 1 in N 6.993 * [backup-simplify]: Simplify 1 into 1 6.993 * [backup-simplify]: Simplify (+ 0 1) into 1 6.993 * [backup-simplify]: Simplify (* 0 1) into 0 6.993 * [backup-simplify]: Simplify (+ 1 0) into 1 6.994 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.994 * [backup-simplify]: Simplify (log 1) into 0 6.994 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.994 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 6.994 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 6.995 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 6.995 * [backup-simplify]: Simplify (+ 0 0) into 0 6.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.996 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.997 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 6.997 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 6.997 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 6.997 * [backup-simplify]: Simplify (+ 0 0) into 0 6.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.000 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.000 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 7.001 * [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)) 7.001 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 7.002 * [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))) 7.002 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (+ (/ 1 N) 1))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 7.002 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 7.002 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 7.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 7.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 7.002 * [taylor]: Taking taylor expansion of 1/3 in N 7.002 * [backup-simplify]: Simplify 1/3 into 1/3 7.002 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 7.002 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 7.002 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.002 * [taylor]: Taking taylor expansion of N in N 7.002 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify 1 into 1 7.002 * [backup-simplify]: Simplify (/ 1 1) into 1 7.002 * [taylor]: Taking taylor expansion of 1 in N 7.002 * [backup-simplify]: Simplify 1 into 1 7.002 * [taylor]: Taking taylor expansion of N in N 7.002 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify 1 into 1 7.003 * [backup-simplify]: Simplify (+ 1 0) into 1 7.003 * [backup-simplify]: Simplify (/ 1 1) into 1 7.003 * [backup-simplify]: Simplify (log 1) into 0 7.003 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.003 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.004 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.004 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 7.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 7.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 7.004 * [taylor]: Taking taylor expansion of 1/3 in N 7.004 * [backup-simplify]: Simplify 1/3 into 1/3 7.004 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 7.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 7.004 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.004 * [taylor]: Taking taylor expansion of N in N 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (/ 1 1) into 1 7.004 * [taylor]: Taking taylor expansion of 1 in N 7.004 * [backup-simplify]: Simplify 1 into 1 7.004 * [taylor]: Taking taylor expansion of N in N 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (+ 1 0) into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.005 * [backup-simplify]: Simplify (log 1) into 0 7.005 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.005 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.005 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.005 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.006 * [backup-simplify]: Simplify (+ 0 1) into 1 7.007 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.008 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.008 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 7.008 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.009 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.011 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.012 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.012 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 7.013 * [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)) 7.013 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 7.014 * [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))) 7.014 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 7.014 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 7.014 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.014 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 7.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 7.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 7.014 * [taylor]: Taking taylor expansion of 1/3 in N 7.014 * [backup-simplify]: Simplify 1/3 into 1/3 7.014 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 7.014 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 7.014 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.014 * [taylor]: Taking taylor expansion of 1 in N 7.014 * [backup-simplify]: Simplify 1 into 1 7.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.014 * [taylor]: Taking taylor expansion of N in N 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.014 * [backup-simplify]: Simplify (/ 1 1) into 1 7.014 * [taylor]: Taking taylor expansion of N in N 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.015 * [backup-simplify]: Simplify (- 1) into -1 7.015 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.015 * [backup-simplify]: Simplify (/ -1 1) into -1 7.015 * [backup-simplify]: Simplify (log -1) into (log -1) 7.016 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.016 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.017 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.017 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.017 * [taylor]: Taking taylor expansion of -1 in N 7.017 * [backup-simplify]: Simplify -1 into -1 7.017 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.017 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.017 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.017 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 7.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 7.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 7.017 * [taylor]: Taking taylor expansion of 1/3 in N 7.017 * [backup-simplify]: Simplify 1/3 into 1/3 7.017 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 7.017 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 7.017 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.017 * [taylor]: Taking taylor expansion of 1 in N 7.017 * [backup-simplify]: Simplify 1 into 1 7.018 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.018 * [taylor]: Taking taylor expansion of N in N 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify 1 into 1 7.018 * [backup-simplify]: Simplify (/ 1 1) into 1 7.018 * [taylor]: Taking taylor expansion of N in N 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify 1 into 1 7.018 * [backup-simplify]: Simplify (- 1) into -1 7.018 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.019 * [backup-simplify]: Simplify (/ -1 1) into -1 7.019 * [backup-simplify]: Simplify (log -1) into (log -1) 7.019 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.020 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.020 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.020 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.020 * [taylor]: Taking taylor expansion of -1 in N 7.020 * [backup-simplify]: Simplify -1 into -1 7.020 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.021 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.021 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.022 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.023 * [backup-simplify]: Simplify (- 0) into 0 7.023 * [backup-simplify]: Simplify (+ 1 0) into 1 7.024 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 7.025 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 7.025 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.026 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 7.026 * [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)))))) 7.027 * [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)))))))) 7.028 * [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)))))))) 7.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.030 * [backup-simplify]: Simplify (- 0) into 0 7.030 * [backup-simplify]: Simplify (+ 0 0) into 0 7.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 7.032 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.033 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 7.034 * [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)))))) 7.036 * [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)))))))) 7.036 * [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)))))))) 7.039 * [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)))) 7.039 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 7.039 * [backup-simplify]: Simplify (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) into (pow (* (pow N 2) (pow (+ N 1) 2)) 1/3) 7.039 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1) 2)) 1/3) in (N) around 0 7.039 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1) 2)) 1/3) in N 7.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1) 2))))) in N 7.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1) 2)))) in N 7.039 * [taylor]: Taking taylor expansion of 1/3 in N 7.039 * [backup-simplify]: Simplify 1/3 into 1/3 7.039 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1) 2))) in N 7.039 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1) 2)) in N 7.039 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.039 * [taylor]: Taking taylor expansion of N in N 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 7.039 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.039 * [taylor]: Taking taylor expansion of N in N 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [taylor]: Taking taylor expansion of 1 in N 7.039 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify (+ 0 1) into 1 7.040 * [backup-simplify]: Simplify (* 1 1) into 1 7.040 * [backup-simplify]: Simplify (* 1 1) into 1 7.040 * [backup-simplify]: Simplify (* 1 1) into 1 7.040 * [backup-simplify]: Simplify (log 1) into 0 7.041 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.041 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.041 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.041 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1) 2)) 1/3) in N 7.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1) 2))))) in N 7.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1) 2)))) in N 7.041 * [taylor]: Taking taylor expansion of 1/3 in N 7.041 * [backup-simplify]: Simplify 1/3 into 1/3 7.041 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1) 2))) in N 7.041 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1) 2)) in N 7.041 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.041 * [taylor]: Taking taylor expansion of N in N 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 7.041 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.041 * [taylor]: Taking taylor expansion of N in N 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [taylor]: Taking taylor expansion of 1 in N 7.041 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify (+ 0 1) into 1 7.042 * [backup-simplify]: Simplify (* 1 1) into 1 7.042 * [backup-simplify]: Simplify (* 1 1) into 1 7.042 * [backup-simplify]: Simplify (* 1 1) into 1 7.042 * [backup-simplify]: Simplify (log 1) into 0 7.043 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.043 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.043 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.043 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 7.043 * [backup-simplify]: Simplify (+ 1 0) into 1 7.044 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.044 * [backup-simplify]: Simplify (+ (* 1 2) (* 0 1)) into 2 7.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 7.046 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.046 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (* 2 (log N)))) into 2/3 7.047 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (pow N 2) 1/3)) 7.047 * [backup-simplify]: Simplify (* 2/3 (pow (pow N 2) 1/3)) into (* 2/3 (pow (pow N 2) 1/3)) 7.047 * [backup-simplify]: Simplify (+ 0 0) into 0 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.049 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2) (* 0 1))) into 1 7.050 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 7.051 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.051 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (* 2 (log N))))) into (- 1/3) 7.054 * [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)) 7.054 * [backup-simplify]: Simplify (* -1/9 (pow (pow N 2) 1/3)) into (* -1/9 (pow (pow N 2) 1/3)) 7.054 * [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))) 7.055 * [backup-simplify]: Simplify (* (cbrt (* (/ 1 N) (+ (/ 1 N) 1))) (cbrt (* (/ 1 N) (+ (/ 1 N) 1)))) into (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) 7.055 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in (N) around 0 7.055 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in N 7.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))))) in N 7.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)))) in N 7.055 * [taylor]: Taking taylor expansion of 1/3 in N 7.055 * [backup-simplify]: Simplify 1/3 into 1/3 7.055 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))) in N 7.055 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) in N 7.055 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 7.055 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.055 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.055 * [taylor]: Taking taylor expansion of N in N 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.055 * [backup-simplify]: Simplify (/ 1 1) into 1 7.055 * [taylor]: Taking taylor expansion of 1 in N 7.055 * [backup-simplify]: Simplify 1 into 1 7.056 * [backup-simplify]: Simplify (+ 1 0) into 1 7.056 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.056 * [taylor]: Taking taylor expansion of N in N 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [backup-simplify]: Simplify (* 1 1) into 1 7.056 * [backup-simplify]: Simplify (* 1 1) into 1 7.056 * [backup-simplify]: Simplify (/ 1 1) into 1 7.057 * [backup-simplify]: Simplify (log 1) into 0 7.057 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.057 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.057 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.057 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in N 7.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))))) in N 7.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)))) in N 7.057 * [taylor]: Taking taylor expansion of 1/3 in N 7.057 * [backup-simplify]: Simplify 1/3 into 1/3 7.057 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))) in N 7.057 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) in N 7.057 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 7.057 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.057 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.057 * [taylor]: Taking taylor expansion of N in N 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (/ 1 1) into 1 7.058 * [taylor]: Taking taylor expansion of 1 in N 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (+ 1 0) into 1 7.058 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.058 * [taylor]: Taking taylor expansion of N in N 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (* 1 1) into 1 7.058 * [backup-simplify]: Simplify (* 1 1) into 1 7.059 * [backup-simplify]: Simplify (/ 1 1) into 1 7.059 * [backup-simplify]: Simplify (log 1) into 0 7.059 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.059 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.059 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.059 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 7.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.060 * [backup-simplify]: Simplify (+ 0 1) into 1 7.061 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 7.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.062 * [backup-simplify]: Simplify (- (/ 2 1) (+ (* 1 (/ 0 1)))) into 2 7.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 7.063 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.063 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 4 (log N))))) into 2/3 7.063 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 7.064 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.065 * [backup-simplify]: Simplify (+ 0 0) into 0 7.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 7.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.067 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)) (* 2 (/ 0 1)))) into 1 7.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 7.069 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.070 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 4 (log N)))))) into (- 1/3) 7.071 * [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)) 7.071 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) 7.071 * [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))) 7.071 * [backup-simplify]: Simplify (* (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1))) (cbrt (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)))) into (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) 7.072 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 7.072 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 7.072 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) in N 7.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))))) in N 7.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)))) in N 7.072 * [taylor]: Taking taylor expansion of 1/3 in N 7.072 * [backup-simplify]: Simplify 1/3 into 1/3 7.072 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))) in N 7.072 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) in N 7.072 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 7.072 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.072 * [taylor]: Taking taylor expansion of 1 in N 7.072 * [backup-simplify]: Simplify 1 into 1 7.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.072 * [taylor]: Taking taylor expansion of N in N 7.072 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify 1 into 1 7.072 * [backup-simplify]: Simplify (/ 1 1) into 1 7.072 * [backup-simplify]: Simplify (- 1) into -1 7.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.073 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.073 * [taylor]: Taking taylor expansion of N in N 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify 1 into 1 7.073 * [backup-simplify]: Simplify (* -1 -1) into 1 7.073 * [backup-simplify]: Simplify (* 1 1) into 1 7.073 * [backup-simplify]: Simplify (/ 1 1) into 1 7.074 * [backup-simplify]: Simplify (log 1) into 0 7.074 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.074 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.074 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.074 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 7.074 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.074 * [taylor]: Taking taylor expansion of -1 in N 7.074 * [backup-simplify]: Simplify -1 into -1 7.075 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.075 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.075 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 7.075 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) in N 7.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))))) in N 7.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)))) in N 7.075 * [taylor]: Taking taylor expansion of 1/3 in N 7.075 * [backup-simplify]: Simplify 1/3 into 1/3 7.075 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))) in N 7.075 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) in N 7.075 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 7.075 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.075 * [taylor]: Taking taylor expansion of 1 in N 7.075 * [backup-simplify]: Simplify 1 into 1 7.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.075 * [taylor]: Taking taylor expansion of N in N 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify (/ 1 1) into 1 7.076 * [backup-simplify]: Simplify (- 1) into -1 7.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.076 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.076 * [taylor]: Taking taylor expansion of N in N 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify (* -1 -1) into 1 7.077 * [backup-simplify]: Simplify (* 1 1) into 1 7.077 * [backup-simplify]: Simplify (/ 1 1) into 1 7.077 * [backup-simplify]: Simplify (log 1) into 0 7.077 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.077 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 7.077 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 7.077 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 7.078 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.078 * [taylor]: Taking taylor expansion of -1 in N 7.078 * [backup-simplify]: Simplify -1 into -1 7.078 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.078 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.079 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 7.080 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) 7.081 * [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)) 7.081 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 7.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.082 * [backup-simplify]: Simplify (- 0) into 0 7.082 * [backup-simplify]: Simplify (+ 1 0) into 1 7.083 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 7.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.084 * [backup-simplify]: Simplify (- (/ -2 1) (+ (* 1 (/ 0 1)))) into -2 7.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 7.085 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.085 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 4 (log N))))) into (- 2/3) 7.086 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) 7.087 * [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)))) 7.088 * [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)))) 7.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.089 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.090 * [backup-simplify]: Simplify (- 0) into 0 7.090 * [backup-simplify]: Simplify (+ 0 0) into 0 7.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 7.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.092 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)) (* -2 (/ 0 1)))) into 1 7.093 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 7.094 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 7.094 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 4 (log N)))))) into (- 1/3) 7.095 * [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)) 7.097 * [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)))) 7.098 * [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)))) 7.101 * [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)))) 7.101 * * * [progress]: simplifying candidates 7.101 * * * * [progress]: [ 1 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 2 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 3 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 4 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 5 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 6 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 7 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 8 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 9 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 10 / 175 ] simplifiying candidate # 7.101 * * * * [progress]: [ 11 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 12 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 13 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 14 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 15 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 16 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 17 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 18 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 19 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 20 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 21 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 22 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 23 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 24 / 175 ] simplifiying candidate #real (real->posit16 (cbrt (* N (+ N 1)))))))))> 7.102 * * * * [progress]: [ 25 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 26 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 27 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 28 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 29 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 30 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 31 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 32 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 33 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 34 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 35 / 175 ] simplifiying candidate # 7.102 * * * * [progress]: [ 36 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 37 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 38 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 39 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 40 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 41 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 42 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 43 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 44 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 45 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 46 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 47 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 48 / 175 ] simplifiying candidate #real (real->posit16 (cbrt (* N (+ N 1)))))) (cbrt (* N (+ N 1)))))))> 7.103 * * * * [progress]: [ 49 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 50 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 51 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 52 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 53 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 54 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 55 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 56 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 57 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 58 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 59 / 175 ] simplifiying candidate # 7.103 * * * * [progress]: [ 60 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 61 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 62 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 63 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 64 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 65 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 66 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 67 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 68 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 69 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 70 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 71 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 72 / 175 ] simplifiying candidate #real (real->posit16 (cbrt (* N (+ N 1))))) (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))))))> 7.104 * * * * [progress]: [ 73 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 74 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 75 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 76 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 77 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 78 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 79 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 80 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 81 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 82 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 83 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 84 / 175 ] simplifiying candidate # 7.104 * * * * [progress]: [ 85 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 86 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 87 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 88 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 89 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 90 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 91 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 92 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 93 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 94 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 95 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 96 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 97 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 98 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 99 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 100 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 101 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 102 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 103 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 104 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 105 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 106 / 175 ] simplifiying candidate # 7.105 * * * * [progress]: [ 107 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 108 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 109 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 110 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 111 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 112 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 113 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 114 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 115 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 116 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 117 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 118 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 119 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 120 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 121 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 122 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 123 / 175 ] simplifiying candidate # 7.106 * * * * [progress]: [ 124 / 175 ] 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7.107 * * * * [progress]: [ 140 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 141 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 142 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 143 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 144 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 145 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 146 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 147 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 148 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 149 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 150 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 151 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 152 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 153 / 175 ] simplifiying candidate # 7.107 * * * * [progress]: [ 154 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 155 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 156 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 157 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 158 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 159 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 160 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 161 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 162 / 175 ] simplifiying candidate #real (real->posit16 (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))))) (cbrt (* N (+ N 1)))))))> 7.108 * * * * [progress]: [ 163 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 164 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 165 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 166 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 167 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 168 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 169 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 170 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 171 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 172 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 173 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 174 / 175 ] simplifiying candidate # 7.108 * * * * [progress]: [ 175 / 175 ] simplifiying candidate # 7.110 * [simplify]: Simplifying: (log (cbrt (* N (+ N 1)))) (exp (cbrt (* N (+ N 1)))) (cbrt N) (cbrt (+ N 1)) (cbrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (cbrt (cbrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1)))) (cbrt 1) (cbrt (* N (+ N 1))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* N (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (cbrt (+ N 1))) (cbrt (* N (sqrt (+ N 1)))) (cbrt (sqrt (+ N 1))) (cbrt (* N 1)) (cbrt (+ N 1)) (cbrt (* N 1)) (cbrt (+ N 1)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (+ N 1))) (cbrt (sqrt N)) (cbrt (* (sqrt N) (+ N 1))) (cbrt 1) (cbrt (* N (+ N 1))) (cbrt (+ N 1)) (cbrt N) (cbrt (* N (+ (pow N 3) (pow 1 3)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* N (- (* N N) (* 1 1)))) (cbrt (- N 1)) (* (cbrt (cbrt (* N (+ N 1)))) (cbrt (cbrt (* N (+ N 1))))) (cbrt (cbrt (* N (+ N 1)))) (* (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1)))) (real->posit16 (cbrt (* N (+ N 1)))) (log (cbrt (* N (+ N 1)))) (exp (cbrt (* N (+ N 1)))) (cbrt N) (cbrt (+ N 1)) (cbrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (cbrt (cbrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1)))) (cbrt 1) (cbrt (* N (+ N 1))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* N (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (cbrt (+ N 1))) (cbrt (* N (sqrt (+ N 1)))) (cbrt (sqrt (+ N 1))) (cbrt (* N 1)) (cbrt (+ N 1)) (cbrt (* N 1)) (cbrt (+ N 1)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (+ N 1))) (cbrt (sqrt N)) (cbrt (* (sqrt N) (+ N 1))) (cbrt 1) (cbrt (* N (+ N 1))) (cbrt (+ N 1)) (cbrt N) (cbrt (* N (+ (pow N 3) (pow 1 3)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* N (- (* N N) (* 1 1)))) (cbrt (- N 1)) (* (cbrt (cbrt (* N (+ N 1)))) (cbrt (cbrt (* N (+ N 1))))) (cbrt (cbrt (* N (+ N 1)))) (* (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1)))) (real->posit16 (cbrt (* N (+ N 1)))) (log (cbrt (* N (+ N 1)))) (exp (cbrt (* N (+ N 1)))) (cbrt N) (cbrt (+ N 1)) (cbrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (cbrt (cbrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1)))) (cbrt 1) (cbrt (* N (+ N 1))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* N (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (cbrt (+ N 1))) (cbrt (* N (sqrt (+ N 1)))) (cbrt (sqrt (+ N 1))) (cbrt (* N 1)) (cbrt (+ N 1)) (cbrt (* N 1)) (cbrt (+ N 1)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (+ N 1))) (cbrt (sqrt N)) (cbrt (* (sqrt N) (+ N 1))) (cbrt 1) (cbrt (* N (+ N 1))) (cbrt (+ N 1)) (cbrt N) (cbrt (* N (+ (pow N 3) (pow 1 3)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* N (- (* N N) (* 1 1)))) (cbrt (- N 1)) (* (cbrt (cbrt (* N (+ N 1)))) (cbrt (cbrt (* N (+ N 1))))) (cbrt (cbrt (* N (+ N 1)))) (* (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1)))) (real->posit16 (cbrt (* N (+ N 1)))) (+ 1/3 1/3) (+ 1 1) (* (* N (+ N 1)) (* N (+ N 1))) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (+ 1 1) (+ (log (cbrt (* N (+ N 1)))) (log (cbrt (* N (+ N 1))))) (log (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (exp (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (* (* N (+ N 1)) (* N (+ N 1))) (* (* N (+ N 1)) (* (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1))))) (* (* (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))) (* N (+ N 1))) (* (* (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))) (* (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1))))) (* (cbrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (cbrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))))) (cbrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (* (* (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (sqrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (sqrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (* (cbrt (* N (+ (pow N 3) (pow 1 3)))) (cbrt (* N (+ (pow N 3) (pow 1 3))))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (* (cbrt (* N (+ (pow N 3) (pow 1 3)))) (cbrt (* N (- (* N N) (* 1 1))))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1))) (* (cbrt (* N (- (* N N) (* 1 1)))) (cbrt (* N (+ (pow N 3) (pow 1 3))))) (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (* (cbrt (* N (- (* N N) (* 1 1)))) (cbrt (* N (- (* N N) (* 1 1))))) (* (cbrt (- N 1)) (cbrt (- N 1))) (* (cbrt N) (cbrt N)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (cbrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))))) (* (cbrt (cbrt (* N (+ N 1)))) (cbrt (cbrt (* N (+ N 1))))) (* (cbrt (sqrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1))))) (* (cbrt (sqrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1))))) (* (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1))))) (* (cbrt (* N (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (* N (* (cbrt (+ N 1)) (cbrt (+ N 1)))))) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (cbrt (* N (sqrt (+ N 1)))) (cbrt (* N (sqrt (+ N 1))))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt 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1 1) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt (sqrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1))))) (* (cbrt (sqrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1))))) (* (cbrt (sqrt (* N (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1))))) (* (cbrt (sqrt (* N (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1))))) (* (cbrt (sqrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1))))) (* (cbrt (sqrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1))))) (* (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (sqrt (* N (+ N 1))))) (* (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (sqrt (* N (+ N 1))))) (* (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1))))) (* (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1))))) (* (cbrt (* (sqrt N) (sqrt (+ N 1)))) (sqrt (cbrt (* N (+ N 1))))) (* (cbrt (* (sqrt N) (sqrt (+ N 1)))) (sqrt (cbrt (* N (+ N 1))))) (* (sqrt (cbrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1))))) (* (sqrt (cbrt (* N (+ N 1)))) (cbrt (sqrt (* N (+ N 1))))) (* (sqrt (cbrt (* N (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1))))) (* (sqrt (cbrt (* N (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1))))) (* (sqrt (cbrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1))))) (* (sqrt (cbrt (* N (+ N 1)))) (sqrt (cbrt (* N (+ N 1))))) (* 2 1/3) (* 2 1) (* (cbrt (* N (+ N 1))) (cbrt N)) (* (cbrt (* N (+ N 1))) (cbrt (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))))) (* (cbrt (* N (+ N 1))) (cbrt (sqrt (* N (+ N 1))))) (* (cbrt (* N (+ N 1))) (cbrt 1)) (* (cbrt (* N (+ N 1))) (cbrt (* (sqrt N) (sqrt (+ N 1))))) (* (cbrt (* N (+ N 1))) (cbrt (* N (* (cbrt (+ N 1)) (cbrt (+ N 1)))))) (* (cbrt (* N (+ N 1))) (cbrt (* N (sqrt (+ N 1))))) (* (cbrt (* N (+ N 1))) (cbrt (* N 1))) (* (cbrt (* N (+ N 1))) (cbrt (* N 1))) (* (cbrt (* N (+ N 1))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (* N (+ N 1))) (cbrt (sqrt N))) (* (cbrt (* N (+ N 1))) (cbrt 1)) (* (cbrt (* N (+ N 1))) (cbrt (+ N 1))) (* (cbrt (* N (+ N 1))) (* (cbrt (cbrt (* N (+ N 1)))) (cbrt (cbrt (* N (+ N 1)))))) (* (cbrt (* N (+ N 1))) (sqrt (cbrt (* N (+ N 1))))) (* (cbrt (* N (+ N 1))) 1) (* (cbrt (+ N 1)) (cbrt (* N (+ N 1)))) (* (cbrt (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))) (* (cbrt (sqrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* N (+ N 1)))) (* (cbrt (cbrt (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt (sqrt (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt (+ N 1)) (cbrt (* N (+ N 1)))) (* (cbrt (+ N 1)) (cbrt (* N (+ N 1)))) (* (cbrt (* (cbrt N) (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt (* (sqrt N) (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt N) (cbrt (* N (+ N 1)))) (* (cbrt (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))) (* (sqrt (cbrt (* N (+ N 1)))) (cbrt (* N (+ N 1)))) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1)))) (* (cbrt (* N (+ N 1))) (cbrt (* N (+ (pow N 3) (pow 1 3))))) (* (cbrt (* N (+ N 1))) (cbrt (* N (- (* N N) (* 1 1))))) (* (cbrt (* N (+ (pow N 3) (pow 1 3)))) (cbrt (* N (+ N 1)))) (* (cbrt (* N (- (* N N) (* 1 1)))) (cbrt (* N (+ N 1)))) (real->posit16 (* (cbrt (* N (+ N 1))) (cbrt (* N (+ N 1))))) (- (+ (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)))) 7.113 * * [simplify]: iteration 0: 196 enodes 7.170 * * [simplify]: iteration 1: 464 enodes 7.330 * * [simplify]: iteration 2: 1284 enodes 8.023 * * [simplify]: iteration 3: 4005 enodes 8.770 * * [simplify]: iteration complete: 5000 enodes 8.770 * * [simplify]: Extracting #0: cost 80 inf + 0 8.771 * * [simplify]: Extracting #1: cost 367 inf + 3 8.775 * * [simplify]: Extracting #2: cost 925 inf + 7145 8.784 * * [simplify]: Extracting #3: cost 850 inf + 51528 8.808 * * [simplify]: Extracting #4: cost 574 inf + 159963 8.846 * * [simplify]: Extracting #5: cost 243 inf + 234218 8.883 * * [simplify]: Extracting #6: cost 133 inf + 279198 8.926 * * [simplify]: Extracting #7: cost 52 inf + 316909 8.972 * * [simplify]: Extracting #8: cost 7 inf + 332654 9.019 * * [simplify]: Extracting #9: cost 0 inf + 333219 9.066 * [simplify]: Simplified to: (log (cbrt (+ N (* N N)))) (exp (cbrt (+ N (* N N)))) (cbrt N) (cbrt (+ N 1)) (cbrt (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) (cbrt (cbrt (+ N (* N N)))) (cbrt (sqrt (+ N (* N N)))) (cbrt (sqrt (+ N (* N N)))) 1 (cbrt (+ N (* N N))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* N (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (cbrt (+ N 1))) (cbrt (* N (sqrt (+ N 1)))) (cbrt (sqrt (+ N 1))) (cbrt N) (cbrt (+ N 1)) (cbrt N) (cbrt (+ N 1)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (+ (* N (cbrt N)) (cbrt N))) (cbrt (sqrt N)) (cbrt (+ (* (sqrt N) N) (sqrt N))) 1 (cbrt (+ N (* N N))) (cbrt (+ N 1)) (cbrt N) (cbrt (+ (* (* N N) (* N N)) N)) (cbrt (+ 1 (- (* N N) N))) (cbrt (* N (- (* N N) 1))) (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 N) (cbrt (+ N 1)) (cbrt (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) (cbrt (cbrt (+ N (* N N)))) (cbrt (sqrt (+ N (* N N)))) (cbrt (sqrt (+ N (* N N)))) 1 (cbrt (+ N (* N N))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* (sqrt N) (sqrt (+ N 1)))) (cbrt (* N (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (cbrt (cbrt (+ N 1))) (cbrt (* N (sqrt (+ N 1)))) (cbrt (sqrt (+ N 1))) (cbrt N) (cbrt (+ N 1)) (cbrt N) (cbrt (+ N 1)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (+ (* N (cbrt N)) (cbrt N))) (cbrt (sqrt N)) (cbrt (+ (* (sqrt N) N) (sqrt N))) 1 (cbrt (+ N (* N N))) (cbrt (+ N 1)) (cbrt 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N) -2/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) -1/9)) (+ (+ (/ (* (* (cbrt -1) (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3)))) -1/9) (* N N)) (* (cbrt -1) (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3))))) (* (/ (cbrt -1) N) (* (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3))) 1/3))) (+ (+ (* (cbrt (pow N 7)) -1/9) (cbrt N)) (* (cbrt (* (* N N) (* N N))) 1/3)) (+ (+ (* 1/3 (cbrt (/ 1 N))) (pow (/ 1 N) -2/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) -1/9)) (+ (+ (/ (* (* (cbrt -1) (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3)))) -1/9) (* N N)) (* (cbrt -1) (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3))))) (* (/ (cbrt -1) N) (* (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3))) 1/3))) (+ (+ (* (cbrt (pow N 7)) -1/9) (cbrt N)) (* (cbrt (* (* N N) (* N N))) 1/3)) (+ (+ (* 1/3 (cbrt (/ 1 N))) (pow (/ 1 N) -2/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) -1/9)) (+ (+ (/ (* (* (cbrt -1) (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3)))) -1/9) (* N N)) (* (cbrt -1) (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3))))) (* (/ (cbrt -1) N) (* (exp (+ (* (log -1) 1/3) (* (log (/ -1 N)) -2/3))) 1/3))) (- (* (cbrt N) (cbrt N)) (- (* (cbrt (* (* (* N N) (* N N)) (* (* N N) (* N N)))) 1/9) (* 2/3 (cbrt (pow N 5))))) (- (pow (/ 1 N) -4/3) (- (* 1/9 (cbrt (/ 1 (* N N)))) (* 2/3 (cbrt N)))) (* (* (cbrt -1) (cbrt -1)) (- (+ (* 2/3 (cbrt N)) (cbrt (* (* N N) (* N N)))) (* 1/9 (cbrt (/ 1 (* N N)))))) 9.084 * * * [progress]: adding candidates to table 9.672 * [progress]: [Phase 3 of 3] Extracting. 9.672 * * [regime]: Finding splitpoints for: (# # # # # #) 9.672 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.672 * * * * [regimes]: Trying to branch on N from (# # # # # #) 9.701 * * * [regime]: Found split indices: #