29.448 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.044 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.044 * * [simplify]: iteration 0: 6 enodes 0.045 * * [simplify]: iteration 1: 11 enodes 0.047 * * [simplify]: iteration 2: 12 enodes 0.048 * * [simplify]: iteration complete: 12 enodes 0.048 * * [simplify]: Extracting #0: cost 1 inf + 0 0.048 * * [simplify]: Extracting #1: cost 4 inf + 0 0.048 * * [simplify]: Extracting #2: cost 6 inf + 0 0.048 * * [simplify]: Extracting #3: cost 4 inf + 253 0.048 * * [simplify]: Extracting #4: cost 0 inf + 735 0.048 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.082 * * * [progress]: generating rewritten candidates 0.082 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.087 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.088 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.088 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.088 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.089 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.089 * [taylor]: Taking taylor expansion of (atan N) in N 0.089 * [backup-simplify]: Simplify (atan N) into (atan N) 0.089 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.089 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.089 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.089 * [taylor]: Taking taylor expansion of (atan N) in N 0.089 * [backup-simplify]: Simplify (atan N) into (atan N) 0.089 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.089 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.089 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.093 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.093 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.093 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.093 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.093 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.093 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.093 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.093 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.093 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.093 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.093 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.093 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.094 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.097 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.097 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.097 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.097 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.097 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.097 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.097 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.097 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.097 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.097 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.097 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.097 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.101 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.101 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.101 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.101 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.101 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.101 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.101 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.101 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.101 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.101 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.101 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.101 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.101 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.101 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.101 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.102 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.102 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.102 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.102 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.102 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.102 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.102 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.102 * * * [progress]: simplifying candidates 0.102 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.102 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.102 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.102 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.102 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.102 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.103 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.103 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.103 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.104 * [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)) 0.104 * * [simplify]: iteration 0: 41 enodes 0.116 * * [simplify]: iteration 1: 77 enodes 0.145 * * [simplify]: iteration 2: 151 enodes 0.187 * * [simplify]: iteration 3: 313 enodes 0.285 * * [simplify]: iteration 4: 719 enodes 0.642 * * [simplify]: iteration 5: 2018 enodes 1.570 * * [simplify]: iteration complete: 5000 enodes 1.570 * * [simplify]: Extracting #0: cost 25 inf + 0 1.571 * * [simplify]: Extracting #1: cost 269 inf + 1 1.573 * * [simplify]: Extracting #2: cost 935 inf + 2406 1.580 * * [simplify]: Extracting #3: cost 1349 inf + 26197 1.633 * * [simplify]: Extracting #4: cost 626 inf + 229978 1.734 * * [simplify]: Extracting #5: cost 178 inf + 466126 1.875 * * [simplify]: Extracting #6: cost 74 inf + 530805 2.008 * * [simplify]: Extracting #7: cost 12 inf + 552590 2.083 * * [simplify]: Extracting #8: cost 0 inf + 556886 2.159 * [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)) 2.161 * * * [progress]: adding candidates to table 2.252 * * [progress]: iteration 2 / 4 2.252 * * * [progress]: picking best candidate 2.255 * * * * [pick]: Picked # 2.256 * * * [progress]: localizing error 2.278 * * * [progress]: generating rewritten candidates 2.278 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.278 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.299 * * * [progress]: generating series expansions 2.299 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.299 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.299 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.299 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.299 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.299 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.299 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.299 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.300 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.300 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.300 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.300 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.300 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.300 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.300 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.301 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.301 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.301 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.301 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.301 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.301 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.301 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.302 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.302 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 2.302 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 2.302 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.302 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.302 * [taylor]: Taking taylor expansion of N in N 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [taylor]: Taking taylor expansion of 1 in N 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [taylor]: Taking taylor expansion of N in N 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.302 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.302 * [taylor]: Taking taylor expansion of N in N 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [taylor]: Taking taylor expansion of 1 in N 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [taylor]: Taking taylor expansion of N in N 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.303 * [backup-simplify]: Simplify (+ 0 1) into 1 2.303 * [backup-simplify]: Simplify (* 1 0) into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (+ 1 0) into 1 2.304 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ 0 0) into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify (+ 0 0) into 0 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 2.312 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 2.312 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 2.312 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.312 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.312 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.312 * [taylor]: Taking taylor expansion of N in N 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [taylor]: Taking taylor expansion of 1 in N 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [taylor]: Taking taylor expansion of N in N 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (+ 1 0) into 1 2.313 * [backup-simplify]: Simplify (/ 1 1) into 1 2.313 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.313 * [taylor]: Taking taylor expansion of N in N 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify (/ 1 1) into 1 2.314 * [taylor]: Taking taylor expansion of 1 in N 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [taylor]: Taking taylor expansion of N in N 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify (+ 1 0) into 1 2.314 * [backup-simplify]: Simplify (/ 1 1) into 1 2.314 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (+ 0 1) into 1 2.316 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.320 * [backup-simplify]: Simplify (+ 0 0) into 0 2.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (+ 0 0) into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [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 2.325 * [backup-simplify]: Simplify 0 into 0 2.326 * [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 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [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 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 2.328 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 2.328 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 2.328 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.328 * [taylor]: Taking taylor expansion of -1 in N 2.328 * [backup-simplify]: Simplify -1 into -1 2.328 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.328 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.328 * [taylor]: Taking taylor expansion of 1 in N 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.329 * [taylor]: Taking taylor expansion of N in N 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (/ 1 1) into 1 2.329 * [taylor]: Taking taylor expansion of N in N 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (- 1) into -1 2.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.330 * [backup-simplify]: Simplify (/ -1 1) into -1 2.331 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.331 * [taylor]: Taking taylor expansion of -1 in N 2.331 * [backup-simplify]: Simplify -1 into -1 2.331 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.331 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.331 * [taylor]: Taking taylor expansion of 1 in N 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (/ 1 1) into 1 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (- 1) into -1 2.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.332 * [backup-simplify]: Simplify (/ -1 1) into -1 2.333 * [backup-simplify]: Simplify (* -1 -1) into 1 2.333 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (- 0) into 0 2.334 * [backup-simplify]: Simplify (+ 1 0) into 1 2.335 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 2.336 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.336 * [backup-simplify]: Simplify -1 into -1 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (- 0) into 0 2.338 * [backup-simplify]: Simplify (+ 0 0) into 0 2.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (- 0) into 0 2.342 * [backup-simplify]: Simplify (+ 0 0) into 0 2.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.346 * [backup-simplify]: Simplify (+ 0 0) into 0 2.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (- 0) into 0 2.351 * [backup-simplify]: Simplify (+ 0 0) into 0 2.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (- 0) into 0 2.355 * [backup-simplify]: Simplify (+ 0 0) into 0 2.356 * [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 2.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.358 * [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 2.358 * [backup-simplify]: Simplify (- 0) into 0 2.358 * [backup-simplify]: Simplify (+ 0 0) into 0 2.359 * [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 2.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 2.361 * * * [progress]: simplifying candidates 2.361 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.361 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 2.361 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 2.362 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 2.362 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 2.362 * [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)) 2.363 * * [simplify]: iteration 0: 55 enodes 2.374 * * [simplify]: iteration 1: 121 enodes 2.428 * * [simplify]: iteration 2: 266 enodes 2.567 * * [simplify]: iteration 3: 706 enodes 3.845 * * [simplify]: iteration 4: 2728 enodes 5.119 * * [simplify]: iteration complete: 5008 enodes 5.120 * * [simplify]: Extracting #0: cost 25 inf + 0 5.120 * * [simplify]: Extracting #1: cost 369 inf + 0 5.124 * * [simplify]: Extracting #2: cost 1238 inf + 5618 5.139 * * [simplify]: Extracting #3: cost 1185 inf + 80716 5.179 * * [simplify]: Extracting #4: cost 386 inf + 267801 5.251 * * [simplify]: Extracting #5: cost 29 inf + 379578 5.337 * * [simplify]: Extracting #6: cost 3 inf + 388627 5.396 * * [simplify]: Extracting #7: cost 0 inf + 389508 5.460 * [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)) 5.462 * * * [progress]: adding candidates to table 5.615 * * [progress]: iteration 3 / 4 5.615 * * * [progress]: picking best candidate 5.630 * * * * [pick]: Picked # 5.630 * * * [progress]: localizing error 5.643 * * * [progress]: generating rewritten candidates 5.643 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.644 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 5.658 * * * [progress]: generating series expansions 5.658 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.658 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* N (+ N 1)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.658 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 5.658 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.658 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.658 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.658 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.658 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.659 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (/ 1 N) (+ (/ 1 N) 1)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.659 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 5.659 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.659 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.659 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.659 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.659 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.659 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.659 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 5.659 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.660 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.660 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 5.660 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.660 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.660 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 5.660 * [backup-simplify]: Simplify (* N (+ N 1)) into (* N (+ N 1)) 5.660 * [approximate]: Taking taylor expansion of (* N (+ N 1)) in (N) around 0 5.660 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.660 * [taylor]: Taking taylor expansion of N in N 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.660 * [taylor]: Taking taylor expansion of N in N 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [taylor]: Taking taylor expansion of 1 in N 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 5.660 * [taylor]: Taking taylor expansion of N in N 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.660 * [taylor]: Taking taylor expansion of N in N 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify 1 into 1 5.661 * [taylor]: Taking taylor expansion of 1 in N 5.661 * [backup-simplify]: Simplify 1 into 1 5.661 * [backup-simplify]: Simplify (+ 0 1) into 1 5.661 * [backup-simplify]: Simplify (* 0 1) into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify (+ 1 0) into 1 5.662 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.662 * [backup-simplify]: Simplify 1 into 1 5.662 * [backup-simplify]: Simplify (+ 0 0) into 0 5.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.663 * [backup-simplify]: Simplify 1 into 1 5.663 * [backup-simplify]: Simplify (+ 0 0) into 0 5.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (+ 0 0) into 0 5.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify (+ 0 0) into 0 5.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify (+ 0 0) into 0 5.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify (+ 0 0) into 0 5.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 5.669 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 5.670 * [backup-simplify]: Simplify (* (/ 1 N) (+ (/ 1 N) 1)) into (/ (+ (/ 1 N) 1) N) 5.670 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 5.670 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.670 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.670 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.670 * [taylor]: Taking taylor expansion of N in N 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.670 * [backup-simplify]: Simplify (/ 1 1) into 1 5.670 * [taylor]: Taking taylor expansion of 1 in N 5.670 * [backup-simplify]: Simplify 1 into 1 5.670 * [taylor]: Taking taylor expansion of N in N 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.670 * [backup-simplify]: Simplify (+ 1 0) into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.671 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 5.671 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.671 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.671 * [taylor]: Taking taylor expansion of N in N 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.671 * [taylor]: Taking taylor expansion of 1 in N 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [taylor]: Taking taylor expansion of N in N 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (+ 1 0) into 1 5.672 * [backup-simplify]: Simplify (/ 1 1) into 1 5.672 * [backup-simplify]: Simplify 1 into 1 5.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.672 * [backup-simplify]: Simplify (+ 0 1) into 1 5.673 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.673 * [backup-simplify]: Simplify 1 into 1 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.674 * [backup-simplify]: Simplify (+ 0 0) into 0 5.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.675 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.676 * [backup-simplify]: Simplify (+ 0 0) into 0 5.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (+ 0 0) into 0 5.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [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 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [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 5.681 * [backup-simplify]: Simplify (+ 0 0) into 0 5.681 * [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 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 5.682 * [backup-simplify]: Simplify (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) into (* -1 (/ (- 1 (/ 1 N)) N)) 5.682 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 5.682 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 5.682 * [taylor]: Taking taylor expansion of -1 in N 5.682 * [backup-simplify]: Simplify -1 into -1 5.682 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.682 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.682 * [taylor]: Taking taylor expansion of 1 in N 5.682 * [backup-simplify]: Simplify 1 into 1 5.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.682 * [taylor]: Taking taylor expansion of N in N 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.682 * [backup-simplify]: Simplify (/ 1 1) into 1 5.682 * [taylor]: Taking taylor expansion of N in N 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.682 * [backup-simplify]: Simplify (- 1) into -1 5.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.683 * [backup-simplify]: Simplify (/ -1 1) into -1 5.683 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 5.683 * [taylor]: Taking taylor expansion of -1 in N 5.683 * [backup-simplify]: Simplify -1 into -1 5.683 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 5.683 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.683 * [taylor]: Taking taylor expansion of 1 in N 5.683 * [backup-simplify]: Simplify 1 into 1 5.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.683 * [taylor]: Taking taylor expansion of N in N 5.683 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify 1 into 1 5.683 * [backup-simplify]: Simplify (/ 1 1) into 1 5.683 * [taylor]: Taking taylor expansion of N in N 5.683 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify 1 into 1 5.684 * [backup-simplify]: Simplify (- 1) into -1 5.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.684 * [backup-simplify]: Simplify (/ -1 1) into -1 5.684 * [backup-simplify]: Simplify (* -1 -1) into 1 5.684 * [backup-simplify]: Simplify 1 into 1 5.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.685 * [backup-simplify]: Simplify (- 0) into 0 5.685 * [backup-simplify]: Simplify (+ 1 0) into 1 5.686 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 5.686 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 5.686 * [backup-simplify]: Simplify -1 into -1 5.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.688 * [backup-simplify]: Simplify (- 0) into 0 5.688 * [backup-simplify]: Simplify (+ 0 0) into 0 5.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 5.690 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.692 * [backup-simplify]: Simplify (- 0) into 0 5.692 * [backup-simplify]: Simplify (+ 0 0) into 0 5.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 5.694 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.696 * [backup-simplify]: Simplify (- 0) into 0 5.696 * [backup-simplify]: Simplify (+ 0 0) into 0 5.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.699 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.699 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.700 * [backup-simplify]: Simplify (- 0) into 0 5.701 * [backup-simplify]: Simplify (+ 0 0) into 0 5.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 5.704 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.705 * [backup-simplify]: Simplify (- 0) into 0 5.706 * [backup-simplify]: Simplify (+ 0 0) into 0 5.707 * [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 5.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.710 * [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 5.710 * [backup-simplify]: Simplify (- 0) into 0 5.711 * [backup-simplify]: Simplify (+ 0 0) into 0 5.712 * [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 5.714 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 5.714 * * * [progress]: simplifying candidates 5.714 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 8 / 38 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* N (+ N 1)))))))> 5.715 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 16 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 19 / 38 ] simplifiying candidate # 5.715 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 31 / 38 ] simplifiying candidate #real (real->posit16 (* N (+ N 1)))))))> 5.716 * * * * [progress]: [ 32 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 5.716 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 5.717 * [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 N) (* 1 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)) 5.718 * * [simplify]: iteration 0: 56 enodes 5.747 * * [simplify]: iteration 1: 149 enodes 5.791 * * [simplify]: iteration 2: 504 enodes 6.367 * * [simplify]: iteration 3: 2512 enodes 7.287 * * [simplify]: iteration complete: 5733 enodes 7.287 * * [simplify]: Extracting #0: cost 26 inf + 0 7.288 * * [simplify]: Extracting #1: cost 248 inf + 123 7.294 * * [simplify]: Extracting #2: cost 1994 inf + 9129 7.322 * * [simplify]: Extracting #3: cost 1282 inf + 183581 7.383 * * [simplify]: Extracting #4: cost 75 inf + 361190 7.459 * * [simplify]: Extracting #5: cost 10 inf + 374924 7.537 * * [simplify]: Extracting #6: cost 0 inf + 377894 7.621 * [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 (* (* (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)) 7.622 * * * [progress]: adding candidates to table 7.773 * * [progress]: iteration 4 / 4 7.773 * * * [progress]: picking best candidate 7.790 * * * * [pick]: Picked # 7.790 * * * [progress]: localizing error 7.834 * * * [progress]: generating rewritten candidates 7.834 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 7.843 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 7.854 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 7.864 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 7.902 * * * [progress]: generating series expansions 7.902 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 7.902 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3) 7.902 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 7.902 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 7.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 7.902 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 7.902 * [taylor]: Taking taylor expansion of 1/3 in N 7.902 * [backup-simplify]: Simplify 1/3 into 1/3 7.903 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 7.903 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 7.903 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.903 * [taylor]: Taking taylor expansion of N in N 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.903 * [taylor]: Taking taylor expansion of 1 in N 7.903 * [backup-simplify]: Simplify 1 into 1 7.903 * [taylor]: Taking taylor expansion of N in N 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.904 * [backup-simplify]: Simplify (+ 0 1) into 1 7.904 * [backup-simplify]: Simplify (* 1 0) into 0 7.905 * [backup-simplify]: Simplify (+ 1 0) into 1 7.905 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 7.906 * [backup-simplify]: Simplify (log 1) into 0 7.906 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.906 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.906 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.906 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 7.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 7.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 7.907 * [taylor]: Taking taylor expansion of 1/3 in N 7.907 * [backup-simplify]: Simplify 1/3 into 1/3 7.907 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 7.907 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 7.907 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.907 * [taylor]: Taking taylor expansion of N in N 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [taylor]: Taking taylor expansion of 1 in N 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [taylor]: Taking taylor expansion of N in N 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [backup-simplify]: Simplify (+ 0 1) into 1 7.908 * [backup-simplify]: Simplify (* 1 0) into 0 7.908 * [backup-simplify]: Simplify (+ 1 0) into 1 7.909 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 7.909 * [backup-simplify]: Simplify (log 1) into 0 7.910 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.910 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.910 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.910 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.910 * [backup-simplify]: Simplify (+ 0 0) into 0 7.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 7.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.913 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.914 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 7.914 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 7.914 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 7.915 * [backup-simplify]: Simplify (+ 0 0) into 0 7.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.917 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.917 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.918 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 7.919 * [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)) 7.919 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 7.919 * [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))) 7.919 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 7.919 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 7.919 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 7.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 7.919 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 7.919 * [taylor]: Taking taylor expansion of 1/3 in N 7.919 * [backup-simplify]: Simplify 1/3 into 1/3 7.919 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 7.919 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 7.919 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.919 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.919 * [taylor]: Taking taylor expansion of N in N 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (/ 1 1) into 1 7.920 * [taylor]: Taking taylor expansion of 1 in N 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [taylor]: Taking taylor expansion of N in N 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (+ 1 0) into 1 7.920 * [backup-simplify]: Simplify (/ 1 1) into 1 7.920 * [backup-simplify]: Simplify (log 1) into 0 7.921 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.921 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.921 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.921 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 7.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 7.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 7.921 * [taylor]: Taking taylor expansion of 1/3 in N 7.921 * [backup-simplify]: Simplify 1/3 into 1/3 7.921 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 7.921 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 7.921 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.921 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.921 * [taylor]: Taking taylor expansion of N in N 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 1 into 1 7.921 * [backup-simplify]: Simplify (/ 1 1) into 1 7.921 * [taylor]: Taking taylor expansion of 1 in N 7.921 * [backup-simplify]: Simplify 1 into 1 7.921 * [taylor]: Taking taylor expansion of N in N 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 1 into 1 7.922 * [backup-simplify]: Simplify (+ 1 0) into 1 7.922 * [backup-simplify]: Simplify (/ 1 1) into 1 7.922 * [backup-simplify]: Simplify (log 1) into 0 7.922 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.922 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.923 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.923 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (+ 0 1) into 1 7.924 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.925 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.925 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 7.926 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.926 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.927 * [backup-simplify]: Simplify (+ 0 0) into 0 7.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.929 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.929 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 7.930 * [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)) 7.931 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 7.931 * [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))) 7.931 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 7.931 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 7.931 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.931 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 7.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 7.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 7.931 * [taylor]: Taking taylor expansion of 1/3 in N 7.931 * [backup-simplify]: Simplify 1/3 into 1/3 7.931 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 7.931 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 7.931 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.931 * [taylor]: Taking taylor expansion of 1 in N 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.931 * [taylor]: Taking taylor expansion of N in N 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify 1 into 1 7.932 * [backup-simplify]: Simplify (/ 1 1) into 1 7.932 * [taylor]: Taking taylor expansion of N in N 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.932 * [backup-simplify]: Simplify (- 1) into -1 7.932 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.932 * [backup-simplify]: Simplify (/ -1 1) into -1 7.933 * [backup-simplify]: Simplify (log -1) into (log -1) 7.936 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.936 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.936 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.936 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.936 * [taylor]: Taking taylor expansion of -1 in N 7.936 * [backup-simplify]: Simplify -1 into -1 7.937 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.937 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.937 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.937 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 7.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 7.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 7.937 * [taylor]: Taking taylor expansion of 1/3 in N 7.937 * [backup-simplify]: Simplify 1/3 into 1/3 7.937 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 7.937 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 7.937 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.937 * [taylor]: Taking taylor expansion of 1 in N 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.938 * [taylor]: Taking taylor expansion of N in N 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [backup-simplify]: Simplify (/ 1 1) into 1 7.938 * [taylor]: Taking taylor expansion of N in N 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [backup-simplify]: Simplify (- 1) into -1 7.938 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.939 * [backup-simplify]: Simplify (/ -1 1) into -1 7.939 * [backup-simplify]: Simplify (log -1) into (log -1) 7.939 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.940 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.940 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.940 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.940 * [taylor]: Taking taylor expansion of -1 in N 7.940 * [backup-simplify]: Simplify -1 into -1 7.940 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.941 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.941 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.942 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.943 * [backup-simplify]: Simplify (- 0) into 0 7.943 * [backup-simplify]: Simplify (+ 1 0) into 1 7.944 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 7.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 7.947 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.947 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 7.949 * [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)))))) 7.950 * [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)))))))) 7.951 * [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)))))))) 7.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.955 * [backup-simplify]: Simplify (- 0) into 0 7.955 * [backup-simplify]: Simplify (+ 0 0) into 0 7.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.959 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 7.959 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.960 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 7.961 * [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)))))) 7.962 * [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)))))))) 7.963 * [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)))))))) 7.966 * [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)))) 7.966 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 7.966 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3) 7.966 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 7.966 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 7.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 7.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 7.966 * [taylor]: Taking taylor expansion of 1/3 in N 7.966 * [backup-simplify]: Simplify 1/3 into 1/3 7.966 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 7.966 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 7.966 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.966 * [taylor]: Taking taylor expansion of N in N 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.966 * [taylor]: Taking taylor expansion of 1 in N 7.966 * [backup-simplify]: Simplify 1 into 1 7.966 * [taylor]: Taking taylor expansion of N in N 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.966 * [backup-simplify]: Simplify (+ 0 1) into 1 7.967 * [backup-simplify]: Simplify (* 1 0) into 0 7.967 * [backup-simplify]: Simplify (+ 1 0) into 1 7.967 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 7.967 * [backup-simplify]: Simplify (log 1) into 0 7.968 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.968 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.968 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.968 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 7.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 7.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 7.968 * [taylor]: Taking taylor expansion of 1/3 in N 7.968 * [backup-simplify]: Simplify 1/3 into 1/3 7.968 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 7.968 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 7.968 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.968 * [taylor]: Taking taylor expansion of N in N 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [taylor]: Taking taylor expansion of 1 in N 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [taylor]: Taking taylor expansion of N in N 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [backup-simplify]: Simplify (+ 0 1) into 1 7.969 * [backup-simplify]: Simplify (* 1 0) into 0 7.969 * [backup-simplify]: Simplify (+ 1 0) into 1 7.969 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 7.969 * [backup-simplify]: Simplify (log 1) into 0 7.970 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.970 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.970 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.970 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.970 * [backup-simplify]: Simplify (+ 0 0) into 0 7.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 7.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.972 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.972 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 7.972 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 7.973 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 7.973 * [backup-simplify]: Simplify (+ 0 0) into 0 7.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.975 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.975 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.976 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 7.977 * [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)) 7.977 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 7.977 * [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))) 7.977 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 7.977 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 7.977 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 7.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 7.977 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 7.977 * [taylor]: Taking taylor expansion of 1/3 in N 7.977 * [backup-simplify]: Simplify 1/3 into 1/3 7.977 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 7.977 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 7.977 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.977 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.977 * [taylor]: Taking taylor expansion of N in N 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 1 into 1 7.978 * [backup-simplify]: Simplify (/ 1 1) into 1 7.978 * [taylor]: Taking taylor expansion of 1 in N 7.978 * [backup-simplify]: Simplify 1 into 1 7.978 * [taylor]: Taking taylor expansion of N in N 7.978 * [backup-simplify]: Simplify 0 into 0 7.978 * [backup-simplify]: Simplify 1 into 1 7.978 * [backup-simplify]: Simplify (+ 1 0) into 1 7.978 * [backup-simplify]: Simplify (/ 1 1) into 1 7.978 * [backup-simplify]: Simplify (log 1) into 0 7.979 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.979 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.979 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.979 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 7.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 7.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 7.979 * [taylor]: Taking taylor expansion of 1/3 in N 7.979 * [backup-simplify]: Simplify 1/3 into 1/3 7.979 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 7.979 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 7.979 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.979 * [taylor]: Taking taylor expansion of N in N 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (/ 1 1) into 1 7.979 * [taylor]: Taking taylor expansion of 1 in N 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [taylor]: Taking taylor expansion of N in N 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.980 * [backup-simplify]: Simplify (+ 1 0) into 1 7.980 * [backup-simplify]: Simplify (/ 1 1) into 1 7.980 * [backup-simplify]: Simplify (log 1) into 0 7.980 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.980 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.981 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.981 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.981 * [backup-simplify]: Simplify (+ 0 1) into 1 7.982 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.983 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.983 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 7.984 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.984 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 7.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.985 * [backup-simplify]: Simplify (+ 0 0) into 0 7.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.988 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.989 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 7.990 * [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)) 7.990 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 7.991 * [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))) 7.991 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 7.991 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 7.991 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.991 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 7.991 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 7.991 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 7.992 * [taylor]: Taking taylor expansion of 1/3 in N 7.992 * [backup-simplify]: Simplify 1/3 into 1/3 7.992 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 7.992 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 7.992 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.992 * [taylor]: Taking taylor expansion of 1 in N 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.992 * [taylor]: Taking taylor expansion of N in N 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [backup-simplify]: Simplify (/ 1 1) into 1 7.992 * [taylor]: Taking taylor expansion of N in N 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 1 into 1 7.993 * [backup-simplify]: Simplify (- 1) into -1 7.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.994 * [backup-simplify]: Simplify (/ -1 1) into -1 7.994 * [backup-simplify]: Simplify (log -1) into (log -1) 7.995 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.995 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.996 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.996 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.996 * [taylor]: Taking taylor expansion of -1 in N 7.996 * [backup-simplify]: Simplify -1 into -1 7.997 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.997 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.997 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.997 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 7.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 7.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 7.997 * [taylor]: Taking taylor expansion of 1/3 in N 7.997 * [backup-simplify]: Simplify 1/3 into 1/3 7.997 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 7.998 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 7.998 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.998 * [taylor]: Taking taylor expansion of 1 in N 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.998 * [taylor]: Taking taylor expansion of N in N 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [backup-simplify]: Simplify (/ 1 1) into 1 7.998 * [taylor]: Taking taylor expansion of N in N 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.999 * [backup-simplify]: Simplify (- 1) into -1 7.999 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.999 * [backup-simplify]: Simplify (/ -1 1) into -1 8.000 * [backup-simplify]: Simplify (log -1) into (log -1) 8.001 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.001 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.002 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.002 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.002 * [taylor]: Taking taylor expansion of -1 in N 8.002 * [backup-simplify]: Simplify -1 into -1 8.002 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.003 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.004 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.005 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.006 * [backup-simplify]: Simplify (- 0) into 0 8.007 * [backup-simplify]: Simplify (+ 1 0) into 1 8.008 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 8.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.010 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.011 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 8.012 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.014 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.015 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (- 0) into 0 8.018 * [backup-simplify]: Simplify (+ 0 0) into 0 8.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.023 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.024 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 8.027 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.029 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.030 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.033 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.033 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 8.033 * [backup-simplify]: Simplify (cbrt (* (+ N 1) N)) into (pow (* (+ N 1) N) 1/3) 8.033 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 8.033 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 8.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 8.033 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 8.033 * [taylor]: Taking taylor expansion of 1/3 in N 8.033 * [backup-simplify]: Simplify 1/3 into 1/3 8.033 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 8.033 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.033 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.033 * [taylor]: Taking taylor expansion of N in N 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 1 into 1 8.033 * [taylor]: Taking taylor expansion of 1 in N 8.033 * [backup-simplify]: Simplify 1 into 1 8.033 * [taylor]: Taking taylor expansion of N in N 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 1 into 1 8.033 * [backup-simplify]: Simplify (+ 0 1) into 1 8.034 * [backup-simplify]: Simplify (* 1 0) into 0 8.034 * [backup-simplify]: Simplify (+ 1 0) into 1 8.034 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 8.035 * [backup-simplify]: Simplify (log 1) into 0 8.035 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.035 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.035 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.035 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 8.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 8.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 8.035 * [taylor]: Taking taylor expansion of 1/3 in N 8.035 * [backup-simplify]: Simplify 1/3 into 1/3 8.035 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 8.035 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 8.035 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.035 * [taylor]: Taking taylor expansion of N in N 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [taylor]: Taking taylor expansion of 1 in N 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [taylor]: Taking taylor expansion of N in N 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.036 * [backup-simplify]: Simplify (+ 0 1) into 1 8.036 * [backup-simplify]: Simplify (* 1 0) into 0 8.036 * [backup-simplify]: Simplify (+ 1 0) into 1 8.036 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 8.037 * [backup-simplify]: Simplify (log 1) into 0 8.037 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.037 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.037 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.037 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 8.037 * [backup-simplify]: Simplify (+ 0 0) into 0 8.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 8.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.039 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.039 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 8.040 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) 8.040 * [backup-simplify]: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) 8.040 * [backup-simplify]: Simplify (+ 0 0) into 0 8.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.043 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.043 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.044 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) 8.045 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) 8.045 * [backup-simplify]: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) 8.045 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) 8.045 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1) N) 1/3) 8.045 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 8.045 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 8.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 8.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 8.045 * [taylor]: Taking taylor expansion of 1/3 in N 8.045 * [backup-simplify]: Simplify 1/3 into 1/3 8.045 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 8.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.045 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.045 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.045 * [taylor]: Taking taylor expansion of N in N 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify (/ 1 1) into 1 8.046 * [taylor]: Taking taylor expansion of 1 in N 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [taylor]: Taking taylor expansion of N in N 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify (+ 1 0) into 1 8.049 * [backup-simplify]: Simplify (/ 1 1) into 1 8.049 * [backup-simplify]: Simplify (log 1) into 0 8.049 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.049 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.049 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.049 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 8.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 8.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 8.049 * [taylor]: Taking taylor expansion of 1/3 in N 8.049 * [backup-simplify]: Simplify 1/3 into 1/3 8.049 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 8.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 8.050 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.050 * [taylor]: Taking taylor expansion of N in N 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (/ 1 1) into 1 8.050 * [taylor]: Taking taylor expansion of 1 in N 8.050 * [backup-simplify]: Simplify 1 into 1 8.050 * [taylor]: Taking taylor expansion of N in N 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (+ 1 0) into 1 8.050 * [backup-simplify]: Simplify (/ 1 1) into 1 8.051 * [backup-simplify]: Simplify (log 1) into 0 8.051 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.051 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.051 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.051 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.052 * [backup-simplify]: Simplify (+ 0 1) into 1 8.053 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.054 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.054 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 8.055 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 8.055 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.056 * [backup-simplify]: Simplify (+ 0 0) into 0 8.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.058 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.059 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) 8.060 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 8.060 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 8.060 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 8.060 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) 8.060 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 8.060 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.060 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 8.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 8.060 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 8.060 * [taylor]: Taking taylor expansion of 1/3 in N 8.060 * [backup-simplify]: Simplify 1/3 into 1/3 8.060 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 8.060 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 8.060 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.061 * [taylor]: Taking taylor expansion of 1 in N 8.061 * [backup-simplify]: Simplify 1 into 1 8.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.061 * [taylor]: Taking taylor expansion of N in N 8.061 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify 1 into 1 8.061 * [backup-simplify]: Simplify (/ 1 1) into 1 8.061 * [taylor]: Taking taylor expansion of N in N 8.061 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify 1 into 1 8.061 * [backup-simplify]: Simplify (- 1) into -1 8.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.062 * [backup-simplify]: Simplify (/ -1 1) into -1 8.062 * [backup-simplify]: Simplify (log -1) into (log -1) 8.063 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.063 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.063 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.063 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.063 * [taylor]: Taking taylor expansion of -1 in N 8.063 * [backup-simplify]: Simplify -1 into -1 8.064 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.064 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.064 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.064 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 8.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 8.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 8.064 * [taylor]: Taking taylor expansion of 1/3 in N 8.064 * [backup-simplify]: Simplify 1/3 into 1/3 8.064 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 8.064 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 8.064 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.065 * [taylor]: Taking taylor expansion of 1 in N 8.065 * [backup-simplify]: Simplify 1 into 1 8.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.065 * [taylor]: Taking taylor expansion of N in N 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 1 into 1 8.065 * [backup-simplify]: Simplify (/ 1 1) into 1 8.065 * [taylor]: Taking taylor expansion of N in N 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 1 into 1 8.066 * [backup-simplify]: Simplify (- 1) into -1 8.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.066 * [backup-simplify]: Simplify (/ -1 1) into -1 8.067 * [backup-simplify]: Simplify (log -1) into (log -1) 8.067 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.068 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.068 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.068 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.068 * [taylor]: Taking taylor expansion of -1 in N 8.068 * [backup-simplify]: Simplify -1 into -1 8.068 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.069 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.069 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.070 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.071 * [backup-simplify]: Simplify (- 0) into 0 8.071 * [backup-simplify]: Simplify (+ 1 0) into 1 8.072 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 8.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.073 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.074 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (* 2 (log N))))) into (- 1/3) 8.074 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.075 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.076 * [backup-simplify]: Simplify (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (- 0) into 0 8.078 * [backup-simplify]: Simplify (+ 0 0) into 0 8.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.080 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.081 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.082 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/6) 8.083 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.084 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.085 * [backup-simplify]: Simplify (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.087 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.088 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 8.088 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) into (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) 8.088 * [approximate]: Taking taylor expansion of (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) in (N) around 0 8.088 * [taylor]: Taking taylor expansion of (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) in N 8.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2))))) in N 8.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2)))) in N 8.088 * [taylor]: Taking taylor expansion of 1/3 in N 8.088 * [backup-simplify]: Simplify 1/3 into 1/3 8.088 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 2) (pow N 2))) in N 8.088 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 2) (pow N 2)) in N 8.088 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 8.088 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.088 * [taylor]: Taking taylor expansion of N in N 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 1 into 1 8.088 * [taylor]: Taking taylor expansion of 1 in N 8.088 * [backup-simplify]: Simplify 1 into 1 8.088 * [backup-simplify]: Simplify (+ 0 1) into 1 8.088 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.088 * [taylor]: Taking taylor expansion of N in N 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 1 into 1 8.089 * [backup-simplify]: Simplify (* 1 1) into 1 8.089 * [backup-simplify]: Simplify (* 1 1) into 1 8.089 * [backup-simplify]: Simplify (* 1 1) into 1 8.089 * [backup-simplify]: Simplify (log 1) into 0 8.090 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.090 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 8.090 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 8.090 * [taylor]: Taking taylor expansion of (pow (* (pow (+ N 1) 2) (pow N 2)) 1/3) in N 8.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2))))) in N 8.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (+ N 1) 2) (pow N 2)))) in N 8.090 * [taylor]: Taking taylor expansion of 1/3 in N 8.090 * [backup-simplify]: Simplify 1/3 into 1/3 8.090 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 2) (pow N 2))) in N 8.090 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 2) (pow N 2)) in N 8.090 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 8.090 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.090 * [taylor]: Taking taylor expansion of N in N 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify 1 into 1 8.090 * [taylor]: Taking taylor expansion of 1 in N 8.090 * [backup-simplify]: Simplify 1 into 1 8.090 * [backup-simplify]: Simplify (+ 0 1) into 1 8.090 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.090 * [taylor]: Taking taylor expansion of N in N 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify 1 into 1 8.091 * [backup-simplify]: Simplify (* 1 1) into 1 8.091 * [backup-simplify]: Simplify (* 1 1) into 1 8.091 * [backup-simplify]: Simplify (* 1 1) into 1 8.091 * [backup-simplify]: Simplify (log 1) into 0 8.092 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.092 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 8.092 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 8.092 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 8.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.093 * [backup-simplify]: Simplify (+ 1 0) into 1 8.093 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 8.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 2 1)) into 2 8.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 8.094 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.095 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (* 2 (log N)))) into 2/3 8.095 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (pow N 2) 1/3)) 8.095 * [backup-simplify]: Simplify (* 2/3 (pow (pow N 2) 1/3)) into (* 2/3 (pow (pow N 2) 1/3)) 8.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.096 * [backup-simplify]: Simplify (+ 0 0) into 0 8.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 8.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 2 0) (* 1 1))) into 1 8.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 8.099 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.100 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (* 2 (log N))))) into (- 1/3) 8.101 * [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)) 8.101 * [backup-simplify]: Simplify (* -1/9 (pow (pow N 2) 1/3)) into (* -1/9 (pow (pow N 2) 1/3)) 8.101 * [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))) 8.102 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) 8.102 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in (N) around 0 8.102 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in N 8.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))))) in N 8.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)))) in N 8.102 * [taylor]: Taking taylor expansion of 1/3 in N 8.102 * [backup-simplify]: Simplify 1/3 into 1/3 8.102 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))) in N 8.102 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) in N 8.102 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 8.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.102 * [taylor]: Taking taylor expansion of N in N 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [backup-simplify]: Simplify (/ 1 1) into 1 8.102 * [taylor]: Taking taylor expansion of 1 in N 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [backup-simplify]: Simplify (+ 1 0) into 1 8.102 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.102 * [taylor]: Taking taylor expansion of N in N 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.103 * [backup-simplify]: Simplify (* 1 1) into 1 8.103 * [backup-simplify]: Simplify (* 1 1) into 1 8.103 * [backup-simplify]: Simplify (/ 1 1) into 1 8.103 * [backup-simplify]: Simplify (log 1) into 0 8.104 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 8.104 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 8.104 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 8.104 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) 1/3) in N 8.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))))) in N 8.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)))) in N 8.104 * [taylor]: Taking taylor expansion of 1/3 in N 8.104 * [backup-simplify]: Simplify 1/3 into 1/3 8.104 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1) 2) (pow N 2))) in N 8.104 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1) 2) (pow N 2)) in N 8.104 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 8.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.104 * [taylor]: Taking taylor expansion of N in N 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 1 into 1 8.104 * [backup-simplify]: Simplify (/ 1 1) into 1 8.104 * [taylor]: Taking taylor expansion of 1 in N 8.104 * [backup-simplify]: Simplify 1 into 1 8.105 * [backup-simplify]: Simplify (+ 1 0) into 1 8.105 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.105 * [taylor]: Taking taylor expansion of N in N 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.105 * [backup-simplify]: Simplify (* 1 1) into 1 8.105 * [backup-simplify]: Simplify (* 1 1) into 1 8.105 * [backup-simplify]: Simplify (/ 1 1) into 1 8.106 * [backup-simplify]: Simplify (log 1) into 0 8.106 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 8.106 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 8.106 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 8.106 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 8.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.107 * [backup-simplify]: Simplify (+ 0 1) into 1 8.107 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 8.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.108 * [backup-simplify]: Simplify (- (/ 2 1) (+ (* 1 (/ 0 1)))) into 2 8.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 8.109 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 8.110 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 4 (log N))))) into 2/3 8.110 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 8.110 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 8.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.111 * [backup-simplify]: Simplify (+ 0 0) into 0 8.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 8.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.113 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)) (* 2 (/ 0 1)))) into 1 8.114 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 8.115 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 8.115 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 4 (log N)))))) into (- 1/3) 8.116 * [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)) 8.116 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 4)) 1/3)) 8.117 * [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))) 8.117 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) 8.117 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 8.117 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 8.117 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) in N 8.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))))) in N 8.117 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)))) in N 8.117 * [taylor]: Taking taylor expansion of 1/3 in N 8.117 * [backup-simplify]: Simplify 1/3 into 1/3 8.117 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))) in N 8.117 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) in N 8.117 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 8.117 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.117 * [taylor]: Taking taylor expansion of 1 in N 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.117 * [taylor]: Taking taylor expansion of N in N 8.117 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * [backup-simplify]: Simplify (/ 1 1) into 1 8.118 * [backup-simplify]: Simplify (- 1) into -1 8.118 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.118 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.118 * [taylor]: Taking taylor expansion of N in N 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [backup-simplify]: Simplify (* -1 -1) into 1 8.119 * [backup-simplify]: Simplify (* 1 1) into 1 8.119 * [backup-simplify]: Simplify (/ 1 1) into 1 8.119 * [backup-simplify]: Simplify (log 1) into 0 8.119 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 8.119 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 8.119 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 8.119 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 8.120 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.120 * [taylor]: Taking taylor expansion of -1 in N 8.120 * [backup-simplify]: Simplify -1 into -1 8.120 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.120 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.120 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 8.120 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) 1/3) in N 8.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))))) in N 8.120 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)))) in N 8.120 * [taylor]: Taking taylor expansion of 1/3 in N 8.120 * [backup-simplify]: Simplify 1/3 into 1/3 8.120 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1 (/ 1 N)) 2) (pow N 2))) in N 8.120 * [taylor]: Taking taylor expansion of (/ (pow (- 1 (/ 1 N)) 2) (pow N 2)) in N 8.120 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 8.120 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.120 * [taylor]: Taking taylor expansion of 1 in N 8.120 * [backup-simplify]: Simplify 1 into 1 8.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.121 * [taylor]: Taking taylor expansion of N in N 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify 1 into 1 8.121 * [backup-simplify]: Simplify (/ 1 1) into 1 8.121 * [backup-simplify]: Simplify (- 1) into -1 8.121 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.121 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.121 * [taylor]: Taking taylor expansion of N in N 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify 1 into 1 8.122 * [backup-simplify]: Simplify (* -1 -1) into 1 8.122 * [backup-simplify]: Simplify (* 1 1) into 1 8.122 * [backup-simplify]: Simplify (/ 1 1) into 1 8.122 * [backup-simplify]: Simplify (log 1) into 0 8.123 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 8.123 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 8.123 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 8.123 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 8.123 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.123 * [taylor]: Taking taylor expansion of -1 in N 8.123 * [backup-simplify]: Simplify -1 into -1 8.123 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.124 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.125 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 8.125 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) 8.126 * [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)) 8.127 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.128 * [backup-simplify]: Simplify (- 0) into 0 8.128 * [backup-simplify]: Simplify (+ 1 0) into 1 8.128 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 8.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.129 * [backup-simplify]: Simplify (- (/ -2 1) (+ (* 1 (/ 0 1)))) into -2 8.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 8.131 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 8.131 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 4 (log N))))) into (- 2/3) 8.132 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) 8.133 * [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)))) 8.133 * [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)))) 8.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.135 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.136 * [backup-simplify]: Simplify (- 0) into 0 8.136 * [backup-simplify]: Simplify (+ 0 0) into 0 8.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 8.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.138 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)) (* -2 (/ 0 1)))) into 1 8.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 8.143 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 8.143 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 4 (log N)))))) into (- 1/3) 8.144 * [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)) 8.145 * [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)))) 8.147 * [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)))) 8.152 * [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)))) 8.152 * * * [progress]: simplifying candidates 8.152 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 8.152 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 12 / 88 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) N))))))))> 8.153 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 16 / 88 ] simplifiying candidate # 8.153 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 24 / 88 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))> 8.154 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 8.154 * * * * [progress]: [ 32 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 36 / 88 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ N 1) N)))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))> 8.155 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 8.155 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 8.156 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 8.157 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #real (real->posit16 (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (+ N 1) N))))))> 8.158 * * * * [progress]: [ 76 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 8.158 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 8.160 * [simplify]: Simplifying: (log (cbrt (* (+ N 1) N))) (exp (cbrt (* (+ N 1) N))) (cbrt (+ N 1)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (- N 1)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (cbrt (* (+ N 1) N))) (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (real->posit16 (cbrt (* (+ N 1) N))) (log (cbrt (* (+ N 1) N))) (exp (cbrt (* (+ N 1) N))) (cbrt (+ N 1)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (- N 1)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (cbrt (* (+ N 1) N))) (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (real->posit16 (cbrt (* (+ N 1) N))) (log (cbrt (* (+ N 1) N))) (exp (cbrt (* (+ N 1) N))) (cbrt (+ N 1)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (- N 1)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (cbrt (cbrt (* (+ N 1) N))) (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N))) (real->posit16 (cbrt (* (+ N 1) N))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1) N) (* (+ N 1) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1) N))) (log (cbrt (* (+ N 1) N)))) (log (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (exp (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (* (+ N 1) N) (* (+ N 1) N)) (* (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (- (* N N) (* 1 1)) N))) (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1))) (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (- (* N N) (* 1 1)) N))) (* (cbrt (- N 1)) (cbrt (- N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* 1 1) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* (sqrt (cbrt (* (+ N 1) N))) (sqrt (cbrt (* (+ N 1) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1) N)) (cbrt (+ N 1))) (* (cbrt (* (+ N 1) N)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))) (* (cbrt (* (+ N 1) N)) (sqrt (cbrt (* (+ N 1) N)))) (* (cbrt (* (+ N 1) N)) 1) (* (cbrt N) (cbrt (* (+ N 1) N))) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (* (sqrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (- (* N N) (* 1 1)) N))) (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ N 1) N))) (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ N 1) N))) (real->posit16 (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (pow N 1/3) (* 1/3 (pow (pow N 4) 1/3))) (* 1/9 (pow (pow N 7) 1/3))) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 1/9 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (* 2/3 (pow (pow N 5) 1/3)) (pow N 2/3)) (* 1/9 (pow (pow N 8) 1/3))) (- (+ (* 2/3 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 2/3 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 1/9 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)))) 8.163 * * [simplify]: iteration 0: 138 enodes 8.210 * * [simplify]: iteration 1: 345 enodes 8.405 * * [simplify]: iteration 2: 952 enodes 9.118 * * [simplify]: iteration 3: 2993 enodes 9.932 * * [simplify]: iteration complete: 5006 enodes 9.932 * * [simplify]: Extracting #0: cost 46 inf + 0 9.933 * * [simplify]: Extracting #1: cost 289 inf + 3 9.939 * * [simplify]: Extracting #2: cost 842 inf + 2992 9.965 * * [simplify]: Extracting #3: cost 977 inf + 27811 9.995 * * [simplify]: Extracting #4: cost 809 inf + 100318 10.047 * * [simplify]: Extracting #5: cost 628 inf + 199838 10.104 * * [simplify]: Extracting #6: cost 419 inf + 267233 10.163 * * [simplify]: Extracting #7: cost 208 inf + 351954 10.234 * * [simplify]: Extracting #8: cost 67 inf + 423404 10.342 * * [simplify]: Extracting #9: cost 10 inf + 446229 10.415 * * [simplify]: Extracting #10: cost 0 inf + 447439 10.488 * [simplify]: Simplified to: (log (cbrt (+ N (* N N)))) (exp (cbrt (+ N (* N N)))) (cbrt (+ N 1)) (cbrt N) (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ 1 (- (* N N) N))) (cbrt (* (+ (* N N) -1) N)) (cbrt (- N 1)) (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) (cbrt (cbrt (+ N (* N N)))) (+ N (* N N)) (sqrt (cbrt (+ N (* N N)))) (sqrt (cbrt (+ N (* N N)))) (real->posit16 (cbrt (+ N (* N N)))) (log (cbrt (+ N (* N N)))) (exp (cbrt (+ N (* N N)))) (cbrt (+ N 1)) (cbrt N) (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ 1 (- (* N N) N))) (cbrt (* (+ (* N N) -1) N)) (cbrt (- N 1)) (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) (cbrt (cbrt (+ N (* N N)))) (+ N (* N N)) (sqrt (cbrt (+ N (* N N)))) (sqrt (cbrt (+ N (* N N)))) (real->posit16 (cbrt (+ N (* N N)))) (log (cbrt (+ N (* N N)))) (exp (cbrt (+ N (* N N)))) (cbrt (+ N 1)) (cbrt N) (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ 1 (- (* N N) N))) (cbrt (* (+ (* N N) -1) N)) (cbrt (- N 1)) (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) (cbrt (cbrt (+ N (* N N)))) (+ N (* N N)) (sqrt (cbrt (+ N (* N N)))) (sqrt (cbrt (+ N (* N N)))) (real->posit16 (cbrt (+ N (* N N)))) 2/3 2 (* (+ N (* N N)) (+ N (* N N))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) 2 (log (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) (log (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) (exp (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) (* (+ N (* N N)) (+ N (* N N))) (* (cbrt (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) (cbrt (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))))) (cbrt (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) (* (+ N (* N N)) (+ N (* N N))) (fabs (cbrt (+ N (* N N)))) (fabs (cbrt (+ N (* N N)))) (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ N (* (* N N) (* N N))))) (* (cbrt (+ 1 (- (* N N) N))) (cbrt (+ 1 (- (* N N) N)))) (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (* (+ (* N N) -1) N))) (* (cbrt (- N 1)) (cbrt (+ 1 (- (* N N) N)))) (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (* (+ (* N N) -1) N))) (* (cbrt (- N 1)) (cbrt (+ 1 (- (* N N) N)))) (* (cbrt (* (+ (* N N) -1) N)) (cbrt (* (+ (* N N) -1) N))) (* (cbrt (- N 1)) (cbrt (- N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt (+ N (* N N)))) (cbrt (+ N (* N N)))) (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) (cbrt (+ N (* N N))) (cbrt (+ N (* N N))) 1 (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (cbrt (+ N (* N N))) (cbrt (+ N (* N N))) 2/3 2 (* (cbrt (+ N (* N N))) (cbrt (+ N 1))) (* (cbrt (cbrt (+ N (* N N)))) (* (cbrt (cbrt (+ N (* N N)))) (cbrt (+ N (* N N))))) (* (cbrt (+ N (* N N))) (sqrt (cbrt (+ N (* N N))))) (cbrt (+ N (* N N))) (* (cbrt (+ N (* N N))) (cbrt N)) (* (cbrt (cbrt (+ N (* N N)))) (cbrt (+ N (* N N)))) (* (cbrt (+ N (* N N))) (sqrt (cbrt (+ N (* N N))))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ N (* N N)))) (* (cbrt (* (+ (* N N) -1) N)) (cbrt (+ N (* N N)))) (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ N (* N N)))) (* (cbrt (* (+ (* N N) -1) N)) (cbrt (+ N (* N N)))) (real->posit16 (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) (+ (- (cbrt N) (* (cbrt (pow N 7)) 1/9)) (* (cbrt (* (* N N) (* N N))) 1/3)) (+ (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 1/3)) (* -1/9 (cbrt (/ 1 (* (* N N) (* N N)))))) (- (+ (* (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))) (cbrt -1)) (* (/ (* 1/3 (cbrt -1)) N) (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))))) (/ (/ (* (* 1/9 (cbrt -1)) (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N)))))) N) N)) (+ (- (cbrt N) (* (cbrt (pow N 7)) 1/9)) (* (cbrt (* (* N N) (* N N))) 1/3)) (+ (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 1/3)) (* -1/9 (cbrt (/ 1 (* (* N N) (* N N)))))) (- (+ (* (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))) (cbrt -1)) (* (/ (* 1/3 (cbrt -1)) N) (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))))) (/ (/ (* (* 1/9 (cbrt -1)) (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N)))))) N) N)) (+ (- (cbrt N) (* (cbrt (pow N 7)) 1/9)) (* (cbrt (* (* N N) (* N N))) 1/3)) (+ (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 1/3)) (* -1/9 (cbrt (/ 1 (* (* N N) (* N N)))))) (- (+ (* (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))) (cbrt -1)) (* (/ (* 1/3 (cbrt -1)) N) (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N))))))) (/ (/ (* (* 1/9 (cbrt -1)) (exp (+ (* 1/3 (log -1)) (* -2/3 (- (log -1) (log N)))))) N) N)) (+ (- (* (cbrt N) (cbrt N)) (* 1/9 (cbrt (* (* (* N N) (* N N)) (* (* N N) (* N N)))))) (* 2/3 (cbrt (pow N 5)))) (+ (* -1/9 (cbrt (/ 1 (* N N)))) (+ (* (cbrt N) 2/3) (pow (/ 1 N) -4/3))) (* (* (cbrt -1) (cbrt -1)) (+ (cbrt (* (* N N) (* N N))) (+ (* (cbrt N) 2/3) (* -1/9 (cbrt (/ 1 (* N N))))))) 10.497 * * * [progress]: adding candidates to table 10.842 * [progress]: [Phase 3 of 3] Extracting. 10.843 * * [regime]: Finding splitpoints for: (# # # # # #) 10.843 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.843 * * * * [regimes]: Trying to branch on N from (# # # # # #) 10.875 * * * [regime]: Found split indices: #