19.636 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.058 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.058 * * [simplify]: iteration 0: 6 enodes 0.060 * * [simplify]: iteration 1: 9 enodes 0.063 * * [simplify]: iteration 2: 10 enodes 0.065 * * [simplify]: iteration complete: 10 enodes 0.065 * * [simplify]: Extracting #0: cost 1 inf + 0 0.065 * * [simplify]: Extracting #1: cost 4 inf + 0 0.065 * * [simplify]: Extracting #2: cost 6 inf + 0 0.065 * * [simplify]: Extracting #3: cost 6 inf + 1 0.066 * * [simplify]: Extracting #4: cost 0 inf + 735 0.066 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.084 * * * [progress]: generating rewritten candidates 0.084 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.089 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.092 * * * [progress]: generating series expansions 0.092 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.092 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.092 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.092 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.092 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.094 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.094 * [taylor]: Taking taylor expansion of (atan N) in N 0.094 * [backup-simplify]: Simplify (atan N) into (atan N) 0.094 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.094 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.094 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.094 * [taylor]: Taking taylor expansion of (atan N) in N 0.094 * [backup-simplify]: Simplify (atan N) into (atan N) 0.094 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.094 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.094 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 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 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [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 (- 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 0.098 * [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 (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.100 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.100 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.100 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.100 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.100 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.100 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.100 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.100 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.100 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.100 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.101 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.101 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.106 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.106 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.106 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.106 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.107 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.107 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.107 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.107 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.107 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.107 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.107 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.107 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.107 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.108 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.113 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.113 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.113 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.113 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.113 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.113 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.113 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.113 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.114 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.114 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.114 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.114 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.114 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.114 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.114 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 0.115 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 0.115 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.115 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.115 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.115 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.115 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.115 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 0.116 * * * [progress]: simplifying candidates 0.117 * [simplify]: Simplifying: (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.117 * * [simplify]: iteration 0: 40 enodes 0.131 * * [simplify]: iteration 1: 76 enodes 0.158 * * [simplify]: iteration 2: 150 enodes 0.206 * * [simplify]: iteration 3: 284 enodes 0.299 * * [simplify]: iteration 4: 611 enodes 0.591 * * [simplify]: iteration 5: 1579 enodes 1.459 * * [simplify]: iteration complete: 5000 enodes 1.459 * * [simplify]: Extracting #0: cost 23 inf + 0 1.460 * * [simplify]: Extracting #1: cost 293 inf + 1 1.467 * * [simplify]: Extracting #2: cost 1150 inf + 46 1.478 * * [simplify]: Extracting #3: cost 1231 inf + 13638 1.506 * * [simplify]: Extracting #4: cost 809 inf + 247992 1.612 * * [simplify]: Extracting #5: cost 161 inf + 656102 1.794 * * [simplify]: Extracting #6: cost 8 inf + 750455 1.935 * * [simplify]: Extracting #7: cost 0 inf + 753183 2.069 * [simplify]: Simplified to: 1.0 (+ (* N (+ 1.0 N)) 1) (exp (- (atan (+ 1.0 N)) (atan N))) (log (- (atan (+ 1.0 N)) (atan N))) (exp (- (atan (+ 1.0 N)) (atan N))) (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N)))) (cbrt (- (atan (+ 1.0 N)) (atan N))) (* (- (atan (+ 1.0 N)) (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N))) (* (atan N) (* (atan N) (atan N)))) (+ (* (atan N) (atan N)) (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N))))) (- (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (+ (atan N) (atan (+ 1.0 N)))) (+ (atan N) (atan (+ 1.0 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1.0 N)))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (log (atan (+ 1.0 N))) (exp (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N)))) (cbrt (atan (+ 1.0 N))) (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N))) (sqrt (atan (+ 1.0 N))) (sqrt (atan (+ 1.0 N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (atan (+ 1.0 N)) (atan (+ 1.0 N)) (atan (+ 1.0 N)) 2.071 * * * [progress]: adding candidates to table 2.207 * * [progress]: iteration 2 / 4 2.207 * * * [progress]: picking best candidate 2.211 * * * * [pick]: Picked # 2.211 * * * [progress]: localizing error 2.223 * * * [progress]: generating rewritten candidates 2.223 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.223 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.229 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 2.246 * * * [progress]: generating series expansions 2.246 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.246 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.246 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 2.246 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.246 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.246 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.247 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.247 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.247 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.247 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 2.247 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.247 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.248 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.248 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.248 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.248 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.248 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.248 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.249 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.249 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.249 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.249 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.250 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.250 * [backup-simplify]: Simplify (+ 1 (* (+ N 1.0) N)) into (+ (* 1.0 N) (+ (pow N 2) 1)) 2.250 * [approximate]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in (N) around 0 2.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N 2.251 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.251 * [taylor]: Taking taylor expansion of 1.0 in N 2.251 * [backup-simplify]: Simplify 1.0 into 1.0 2.251 * [taylor]: Taking taylor expansion of N in N 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.251 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.251 * [taylor]: Taking taylor expansion of N in N 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [taylor]: Taking taylor expansion of 1 in N 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N 2.251 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.251 * [taylor]: Taking taylor expansion of 1.0 in N 2.251 * [backup-simplify]: Simplify 1.0 into 1.0 2.251 * [taylor]: Taking taylor expansion of N in N 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.251 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.251 * [taylor]: Taking taylor expansion of N in N 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [taylor]: Taking taylor expansion of 1 in N 2.251 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.252 * [backup-simplify]: Simplify (+ 0 1) into 1 2.253 * [backup-simplify]: Simplify (+ 0 1) into 1 2.253 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.257 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.257 * [backup-simplify]: Simplify 1.0 into 1.0 2.258 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.258 * [backup-simplify]: Simplify (* 1 1) into 1 2.258 * [backup-simplify]: Simplify (+ 1 0) into 1 2.259 * [backup-simplify]: Simplify (+ 0 1) into 1 2.259 * [backup-simplify]: Simplify 1 into 1 2.259 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (* 1.0 N) (+ (pow N 2) 1)) 2.259 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))) into (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 2.259 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in (N) around 0 2.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N 2.259 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.259 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.259 * [taylor]: Taking taylor expansion of N in N 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.259 * [backup-simplify]: Simplify (* 1 1) into 1 2.260 * [backup-simplify]: Simplify (/ 1 1) into 1 2.260 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 2.260 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.260 * [taylor]: Taking taylor expansion of 1.0 in N 2.260 * [backup-simplify]: Simplify 1.0 into 1.0 2.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.260 * [taylor]: Taking taylor expansion of N in N 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (/ 1 1) into 1 2.260 * [taylor]: Taking taylor expansion of 1 in N 2.260 * [backup-simplify]: Simplify 1 into 1 2.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N 2.260 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.260 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.260 * [taylor]: Taking taylor expansion of N in N 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (* 1 1) into 1 2.261 * [backup-simplify]: Simplify (/ 1 1) into 1 2.261 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 2.261 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.261 * [taylor]: Taking taylor expansion of 1.0 in N 2.261 * [backup-simplify]: Simplify 1.0 into 1.0 2.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.261 * [taylor]: Taking taylor expansion of N in N 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (/ 1 1) into 1 2.261 * [taylor]: Taking taylor expansion of 1 in N 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (+ 1 0) into 1 2.261 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.262 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.263 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.263 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.263 * [backup-simplify]: Simplify 1.0 into 1.0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.265 * [backup-simplify]: Simplify (+ 0 1) into 1 2.266 * [backup-simplify]: Simplify (+ 0 1) into 1 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (* 1.0 N) (+ (pow N 2) 1)) 2.266 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 2.266 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 2.266 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.266 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [taylor]: Taking taylor expansion of 1 in N 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.267 * [taylor]: Taking taylor expansion of 1.0 in N 2.267 * [backup-simplify]: Simplify 1.0 into 1.0 2.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.267 * [taylor]: Taking taylor expansion of N in N 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 2.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.267 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.267 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.267 * [taylor]: Taking taylor expansion of N in N 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (* 1 1) into 1 2.268 * [backup-simplify]: Simplify (/ 1 1) into 1 2.268 * [taylor]: Taking taylor expansion of 1 in N 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.268 * [taylor]: Taking taylor expansion of 1.0 in N 2.268 * [backup-simplify]: Simplify 1.0 into 1.0 2.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.268 * [taylor]: Taking taylor expansion of N in N 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (/ 1 1) into 1 2.268 * [backup-simplify]: Simplify (+ 1 0) into 1 2.269 * [backup-simplify]: Simplify (+ 1 0) into 1 2.269 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.270 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.270 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.271 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.271 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ 0 1) into 1 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.273 * [backup-simplify]: Simplify (- 0) into 0 2.274 * [backup-simplify]: Simplify (+ 1 0) into 1 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (* 1.0 N) (+ (pow N 2) 1)) 2.274 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 2.274 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.274 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.274 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.274 * [taylor]: Taking taylor expansion of N in N 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.274 * [taylor]: Taking taylor expansion of N in N 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of 1.0 in N 2.275 * [backup-simplify]: Simplify 1.0 into 1.0 2.275 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.275 * [taylor]: Taking taylor expansion of N in N 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.275 * [taylor]: Taking taylor expansion of N in N 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of 1.0 in N 2.275 * [backup-simplify]: Simplify 1.0 into 1.0 2.275 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.276 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (+ 1 0) into 1 2.277 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.277 * [backup-simplify]: Simplify 1.0 into 1.0 2.277 * [backup-simplify]: Simplify (+ 0 0) into 0 2.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.278 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (+ 0 0) into 0 2.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 2.292 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.293 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.293 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.293 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.293 * [taylor]: Taking taylor expansion of N in N 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (/ 1 1) into 1 2.293 * [taylor]: Taking taylor expansion of 1.0 in N 2.293 * [backup-simplify]: Simplify 1.0 into 1.0 2.293 * [taylor]: Taking taylor expansion of N in N 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (+ 1 0) into 1 2.294 * [backup-simplify]: Simplify (/ 1 1) into 1 2.294 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.294 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.294 * [taylor]: Taking taylor expansion of N in N 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (/ 1 1) into 1 2.295 * [taylor]: Taking taylor expansion of 1.0 in N 2.295 * [backup-simplify]: Simplify 1.0 into 1.0 2.295 * [taylor]: Taking taylor expansion of N in N 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (+ 1 0) into 1 2.296 * [backup-simplify]: Simplify (/ 1 1) into 1 2.296 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.299 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.299 * [backup-simplify]: Simplify 1.0 into 1.0 2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.308 * [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 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 2.309 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.309 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.309 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.309 * [taylor]: Taking taylor expansion of -1 in N 2.309 * [backup-simplify]: Simplify -1 into -1 2.309 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.309 * [taylor]: Taking taylor expansion of 1.0 in N 2.309 * [backup-simplify]: Simplify 1.0 into 1.0 2.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.309 * [taylor]: Taking taylor expansion of N in N 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.309 * [backup-simplify]: Simplify (/ 1 1) into 1 2.309 * [taylor]: Taking taylor expansion of N in N 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (- 1) into -1 2.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.310 * [backup-simplify]: Simplify (/ -1 1) into -1 2.310 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.310 * [taylor]: Taking taylor expansion of -1 in N 2.310 * [backup-simplify]: Simplify -1 into -1 2.310 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.310 * [taylor]: Taking taylor expansion of 1.0 in N 2.310 * [backup-simplify]: Simplify 1.0 into 1.0 2.310 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.310 * [taylor]: Taking taylor expansion of N in N 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (/ 1 1) into 1 2.311 * [taylor]: Taking taylor expansion of N in N 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (- 1) into -1 2.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.311 * [backup-simplify]: Simplify (/ -1 1) into -1 2.312 * [backup-simplify]: Simplify (* -1 -1) into 1 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (- 0) into 0 2.313 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.314 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.315 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.315 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (- 0) into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- 0) into 0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.320 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (- 0) into 0 2.321 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (+ 0 0) into 0 2.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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)))) into 0 2.326 * [backup-simplify]: Simplify (- 0) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.328 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.329 * [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 2.329 * [backup-simplify]: Simplify (- 0) into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 2.332 * * * [progress]: simplifying candidates 2.332 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (exp 1) (exp (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ (pow 1 3) (pow (* (+ N 1.0) N) 3)) (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N)))) (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 1.0) N)) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (+ (* 1.0 N) (+ (pow N 2) 1)) (+ (* 1.0 N) (+ (pow N 2) 1)) (+ (* 1.0 N) (+ (pow N 2) 1)) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) 2.333 * * [simplify]: iteration 0: 73 enodes 2.349 * * [simplify]: iteration 1: 188 enodes 2.458 * * [simplify]: iteration 2: 512 enodes 2.843 * * [simplify]: iteration 3: 1520 enodes 3.595 * * [simplify]: iteration complete: 5000 enodes 3.595 * * [simplify]: Extracting #0: cost 34 inf + 0 3.596 * * [simplify]: Extracting #1: cost 387 inf + 0 3.600 * * [simplify]: Extracting #2: cost 1386 inf + 1405 3.621 * * [simplify]: Extracting #3: cost 1551 inf + 55339 3.668 * * [simplify]: Extracting #4: cost 472 inf + 247290 3.735 * * [simplify]: Extracting #5: cost 54 inf + 369980 3.811 * * [simplify]: Extracting #6: cost 2 inf + 385275 3.884 * * [simplify]: Extracting #7: cost 0 inf + 385781 3.993 * [simplify]: Simplified to: (log (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* (* (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* E (exp (* N (+ N 1.0)))) (log (+ (* N (+ N 1.0)) 1)) (* E (exp (* N (+ N 1.0)))) (* (cbrt (+ (* N (+ N 1.0)) 1)) (cbrt (+ (* N (+ N 1.0)) 1))) (cbrt (+ (* N (+ N 1.0)) 1)) (* (+ (* N (+ N 1.0)) 1) (* (+ (* N (+ N 1.0)) 1) (+ (* N (+ N 1.0)) 1))) (sqrt (+ (* N (+ N 1.0)) 1)) (sqrt (+ (* N (+ N 1.0)) 1)) (+ (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) 1) (+ (* (* N (+ N 1.0)) (- (* N (+ N 1.0)) 1)) 1) (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* N (+ N 1.0))) (* N (+ N 1.0)) (log (* N (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (* (cbrt N) (+ N 1.0)) (cbrt N)) (* (sqrt N) (+ N 1.0)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* N (sqrt (+ N 1.0))) (* N (+ N 1.0)) (* N (+ N 1.0)) (+ (* (* N (* 1.0 1.0)) 1.0) (* (* N N) (* N N))) (* (* N (- N 1.0)) (+ N 1.0)) (atan2 1.0 (+ (+ 1 (* 1.0 N)) (* N N))) (atan2 1.0 (+ (+ 1 (* 1.0 N)) (* N N))) (atan2 1.0 (+ (+ 1 (* 1.0 N)) (* N N))) (+ (+ 1 (* 1.0 N)) (* N N)) (+ (+ 1 (* 1.0 N)) (* N N)) (+ (+ 1 (* 1.0 N)) (* N N)) (+ (* N N) (* 1.0 N)) (+ (* N N) (* 1.0 N)) (+ (* N N) (* 1.0 N)) 3.997 * * * [progress]: adding candidates to table 4.206 * * [progress]: iteration 3 / 4 4.206 * * * [progress]: picking best candidate 4.229 * * * * [pick]: Picked # 4.230 * * * [progress]: localizing error 4.275 * * * [progress]: generating rewritten candidates 4.275 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 4.280 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 4.285 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 4.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.291 * * * [progress]: generating series expansions 4.291 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 4.292 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ N 1.0) N))) into (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) 4.292 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) in (N) around 0 4.292 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) in N 4.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1))))) in N 4.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1)))) in N 4.292 * [taylor]: Taking taylor expansion of 1/3 in N 4.292 * [backup-simplify]: Simplify 1/3 into 1/3 4.292 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (pow N 2) 1))) in N 4.292 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N 4.292 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.292 * [taylor]: Taking taylor expansion of 1.0 in N 4.292 * [backup-simplify]: Simplify 1.0 into 1.0 4.292 * [taylor]: Taking taylor expansion of N in N 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 4.292 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.292 * [taylor]: Taking taylor expansion of N in N 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [taylor]: Taking taylor expansion of 1 in N 4.292 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.294 * [backup-simplify]: Simplify (+ 0 1) into 1 4.294 * [backup-simplify]: Simplify (+ 0 1) into 1 4.295 * [backup-simplify]: Simplify (log 1) into 0 4.295 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.296 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.297 * [backup-simplify]: Simplify (+ 0 0) into 0 4.297 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.305 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 4.305 * [backup-simplify]: Simplify (exp 0) into 1 4.305 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) in N 4.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1))))) in N 4.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1)))) in N 4.305 * [taylor]: Taking taylor expansion of 1/3 in N 4.305 * [backup-simplify]: Simplify 1/3 into 1/3 4.305 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (pow N 2) 1))) in N 4.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N 4.305 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.305 * [taylor]: Taking taylor expansion of 1.0 in N 4.305 * [backup-simplify]: Simplify 1.0 into 1.0 4.305 * [taylor]: Taking taylor expansion of N in N 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 1 into 1 4.305 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 4.305 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.305 * [taylor]: Taking taylor expansion of N in N 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 1 into 1 4.305 * [taylor]: Taking taylor expansion of 1 in N 4.305 * [backup-simplify]: Simplify 1 into 1 4.306 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.306 * [backup-simplify]: Simplify (+ 0 1) into 1 4.307 * [backup-simplify]: Simplify (+ 0 1) into 1 4.307 * [backup-simplify]: Simplify (log 1) into 0 4.307 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.309 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.317 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 4.318 * [backup-simplify]: Simplify (exp 0) into 1 4.318 * [backup-simplify]: Simplify 1 into 1 4.322 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 4.322 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.322 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.323 * [backup-simplify]: Simplify (* 1 1) into 1 4.323 * [backup-simplify]: Simplify (+ 1 0) into 1 4.323 * [backup-simplify]: Simplify (+ 0 1) into 1 4.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5 4.332 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666 4.335 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222 4.335 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222 4.336 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1)) 4.336 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) 4.336 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) in (N) around 0 4.336 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) in N 4.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N 4.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N 4.336 * [taylor]: Taking taylor expansion of 1/3 in N 4.336 * [backup-simplify]: Simplify 1/3 into 1/3 4.336 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 4.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N 4.336 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.336 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.336 * [taylor]: Taking taylor expansion of N in N 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.340 * [backup-simplify]: Simplify (* 1 1) into 1 4.341 * [backup-simplify]: Simplify (/ 1 1) into 1 4.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 4.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.341 * [taylor]: Taking taylor expansion of 1.0 in N 4.341 * [backup-simplify]: Simplify 1.0 into 1.0 4.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.341 * [taylor]: Taking taylor expansion of N in N 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify (/ 1 1) into 1 4.341 * [taylor]: Taking taylor expansion of 1 in N 4.341 * [backup-simplify]: Simplify 1 into 1 4.342 * [backup-simplify]: Simplify (+ 1 0) into 1 4.342 * [backup-simplify]: Simplify (log 1) into 0 4.342 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.342 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.342 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.342 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) in N 4.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N 4.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N 4.342 * [taylor]: Taking taylor expansion of 1/3 in N 4.342 * [backup-simplify]: Simplify 1/3 into 1/3 4.342 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 4.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N 4.343 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.343 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.343 * [taylor]: Taking taylor expansion of N in N 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (* 1 1) into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 4.343 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.343 * [taylor]: Taking taylor expansion of 1.0 in N 4.343 * [backup-simplify]: Simplify 1.0 into 1.0 4.343 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.343 * [taylor]: Taking taylor expansion of N in N 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [taylor]: Taking taylor expansion of 1 in N 4.343 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (+ 1 0) into 1 4.344 * [backup-simplify]: Simplify (log 1) into 0 4.344 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.344 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.344 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.345 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.346 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.346 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.350 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.351 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.352 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.352 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.354 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.354 * [backup-simplify]: Simplify (+ 0 1) into 1 4.355 * [backup-simplify]: Simplify (+ 0 1) into 1 4.361 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5 4.361 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.362 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666 4.364 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.365 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.365 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) 4.365 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) 4.365 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in (N) around 0 4.365 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 4.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 4.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.365 * [taylor]: Taking taylor expansion of 1/3 in N 4.365 * [backup-simplify]: Simplify 1/3 into 1/3 4.366 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.366 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 4.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 4.366 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.366 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.366 * [taylor]: Taking taylor expansion of N in N 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (/ 1 1) into 1 4.366 * [taylor]: Taking taylor expansion of 1 in N 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.366 * [taylor]: Taking taylor expansion of 1.0 in N 4.366 * [backup-simplify]: Simplify 1.0 into 1.0 4.366 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.366 * [taylor]: Taking taylor expansion of N in N 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (/ 1 1) into 1 4.367 * [backup-simplify]: Simplify (+ 1 0) into 1 4.367 * [backup-simplify]: Simplify (+ 1 0) into 1 4.368 * [backup-simplify]: Simplify (log 1) into 0 4.368 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.368 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.368 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.368 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 4.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 4.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.368 * [taylor]: Taking taylor expansion of 1/3 in N 4.368 * [backup-simplify]: Simplify 1/3 into 1/3 4.368 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.368 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 4.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 4.368 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.368 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.368 * [taylor]: Taking taylor expansion of N in N 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [backup-simplify]: Simplify (* 1 1) into 1 4.369 * [backup-simplify]: Simplify (/ 1 1) into 1 4.369 * [taylor]: Taking taylor expansion of 1 in N 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.369 * [taylor]: Taking taylor expansion of 1.0 in N 4.369 * [backup-simplify]: Simplify 1.0 into 1.0 4.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.369 * [taylor]: Taking taylor expansion of N in N 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [backup-simplify]: Simplify (/ 1 1) into 1 4.369 * [backup-simplify]: Simplify (+ 1 0) into 1 4.370 * [backup-simplify]: Simplify (+ 1 0) into 1 4.370 * [backup-simplify]: Simplify (log 1) into 0 4.370 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.370 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.370 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.371 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.372 * [backup-simplify]: Simplify (+ 0 0) into 0 4.372 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.372 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.373 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.377 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.378 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333) 4.380 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.380 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ 0 1) into 1 4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.382 * [backup-simplify]: Simplify (- 0) into 0 4.383 * [backup-simplify]: Simplify (+ 1 0) into 1 4.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5 4.390 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.391 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666 4.394 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.394 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.395 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) 4.395 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 4.395 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ N 1.0) N))) into (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) 4.395 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) in (N) around 0 4.395 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) in N 4.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1))))) in N 4.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1)))) in N 4.395 * [taylor]: Taking taylor expansion of 1/3 in N 4.395 * [backup-simplify]: Simplify 1/3 into 1/3 4.395 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (pow N 2) 1))) in N 4.395 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N 4.395 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.395 * [taylor]: Taking taylor expansion of 1.0 in N 4.395 * [backup-simplify]: Simplify 1.0 into 1.0 4.395 * [taylor]: Taking taylor expansion of N in N 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 4.395 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.395 * [taylor]: Taking taylor expansion of N in N 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [taylor]: Taking taylor expansion of 1 in N 4.395 * [backup-simplify]: Simplify 1 into 1 4.396 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.396 * [backup-simplify]: Simplify (+ 0 1) into 1 4.396 * [backup-simplify]: Simplify (+ 0 1) into 1 4.396 * [backup-simplify]: Simplify (log 1) into 0 4.397 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.398 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.398 * [backup-simplify]: Simplify (+ 0 0) into 0 4.398 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.403 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 4.403 * [backup-simplify]: Simplify (exp 0) into 1 4.403 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) in N 4.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1))))) in N 4.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1)))) in N 4.403 * [taylor]: Taking taylor expansion of 1/3 in N 4.403 * [backup-simplify]: Simplify 1/3 into 1/3 4.403 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (pow N 2) 1))) in N 4.403 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N 4.403 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.403 * [taylor]: Taking taylor expansion of 1.0 in N 4.403 * [backup-simplify]: Simplify 1.0 into 1.0 4.403 * [taylor]: Taking taylor expansion of N in N 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 4.403 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.403 * [taylor]: Taking taylor expansion of N in N 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [taylor]: Taking taylor expansion of 1 in N 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.404 * [backup-simplify]: Simplify (+ 0 1) into 1 4.404 * [backup-simplify]: Simplify (+ 0 1) into 1 4.404 * [backup-simplify]: Simplify (log 1) into 0 4.404 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.405 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.405 * [backup-simplify]: Simplify (+ 0 0) into 0 4.406 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.410 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 4.410 * [backup-simplify]: Simplify (exp 0) into 1 4.410 * [backup-simplify]: Simplify 1 into 1 4.412 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 4.412 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.413 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.413 * [backup-simplify]: Simplify (* 1 1) into 1 4.413 * [backup-simplify]: Simplify (+ 1 0) into 1 4.414 * [backup-simplify]: Simplify (+ 0 1) into 1 4.419 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5 4.421 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666 4.433 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222 4.433 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222 4.433 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1)) 4.434 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) 4.434 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) in (N) around 0 4.434 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) in N 4.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N 4.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N 4.434 * [taylor]: Taking taylor expansion of 1/3 in N 4.434 * [backup-simplify]: Simplify 1/3 into 1/3 4.434 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 4.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N 4.434 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.434 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.434 * [taylor]: Taking taylor expansion of N in N 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (* 1 1) into 1 4.435 * [backup-simplify]: Simplify (/ 1 1) into 1 4.435 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 4.435 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.435 * [taylor]: Taking taylor expansion of 1.0 in N 4.435 * [backup-simplify]: Simplify 1.0 into 1.0 4.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.435 * [taylor]: Taking taylor expansion of N in N 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify (/ 1 1) into 1 4.436 * [taylor]: Taking taylor expansion of 1 in N 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify (+ 1 0) into 1 4.436 * [backup-simplify]: Simplify (log 1) into 0 4.437 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.437 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.437 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.437 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) in N 4.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N 4.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N 4.437 * [taylor]: Taking taylor expansion of 1/3 in N 4.437 * [backup-simplify]: Simplify 1/3 into 1/3 4.437 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 4.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N 4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.437 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.437 * [taylor]: Taking taylor expansion of N in N 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (* 1 1) into 1 4.438 * [backup-simplify]: Simplify (/ 1 1) into 1 4.438 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 4.438 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.438 * [taylor]: Taking taylor expansion of 1.0 in N 4.438 * [backup-simplify]: Simplify 1.0 into 1.0 4.438 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.438 * [taylor]: Taking taylor expansion of N in N 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.439 * [backup-simplify]: Simplify (/ 1 1) into 1 4.439 * [taylor]: Taking taylor expansion of 1 in N 4.439 * [backup-simplify]: Simplify 1 into 1 4.440 * [backup-simplify]: Simplify (+ 1 0) into 1 4.440 * [backup-simplify]: Simplify (log 1) into 0 4.440 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.441 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.441 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.441 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.443 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.443 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.444 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.451 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.452 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.454 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.455 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.458 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.459 * [backup-simplify]: Simplify (+ 0 1) into 1 4.459 * [backup-simplify]: Simplify (+ 0 1) into 1 4.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5 4.469 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.470 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666 4.473 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.473 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.473 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) 4.473 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) 4.473 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in (N) around 0 4.474 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 4.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 4.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.474 * [taylor]: Taking taylor expansion of 1/3 in N 4.474 * [backup-simplify]: Simplify 1/3 into 1/3 4.474 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.474 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 4.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 4.474 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.474 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.474 * [taylor]: Taking taylor expansion of N in N 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (* 1 1) into 1 4.474 * [backup-simplify]: Simplify (/ 1 1) into 1 4.474 * [taylor]: Taking taylor expansion of 1 in N 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.474 * [taylor]: Taking taylor expansion of 1.0 in N 4.474 * [backup-simplify]: Simplify 1.0 into 1.0 4.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.474 * [taylor]: Taking taylor expansion of N in N 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.475 * [backup-simplify]: Simplify (/ 1 1) into 1 4.475 * [backup-simplify]: Simplify (+ 1 0) into 1 4.475 * [backup-simplify]: Simplify (+ 1 0) into 1 4.475 * [backup-simplify]: Simplify (log 1) into 0 4.476 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.476 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.476 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.476 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 4.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 4.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.476 * [taylor]: Taking taylor expansion of 1/3 in N 4.476 * [backup-simplify]: Simplify 1/3 into 1/3 4.476 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.476 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 4.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 4.476 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.476 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.476 * [taylor]: Taking taylor expansion of N in N 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.476 * [backup-simplify]: Simplify (* 1 1) into 1 4.476 * [backup-simplify]: Simplify (/ 1 1) into 1 4.476 * [taylor]: Taking taylor expansion of 1 in N 4.477 * [backup-simplify]: Simplify 1 into 1 4.477 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.477 * [taylor]: Taking taylor expansion of 1.0 in N 4.477 * [backup-simplify]: Simplify 1.0 into 1.0 4.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.477 * [taylor]: Taking taylor expansion of N in N 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify 1 into 1 4.477 * [backup-simplify]: Simplify (/ 1 1) into 1 4.477 * [backup-simplify]: Simplify (+ 1 0) into 1 4.477 * [backup-simplify]: Simplify (+ 1 0) into 1 4.478 * [backup-simplify]: Simplify (log 1) into 0 4.478 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.478 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.478 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.478 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.479 * [backup-simplify]: Simplify (+ 0 0) into 0 4.480 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.480 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.480 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.485 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.485 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333) 4.487 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.487 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.488 * [backup-simplify]: Simplify (+ 0 1) into 1 4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.490 * [backup-simplify]: Simplify (- 0) into 0 4.490 * [backup-simplify]: Simplify (+ 1 0) into 1 4.496 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5 4.496 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.497 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666 4.500 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.500 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.501 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) 4.501 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 4.501 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ N 1.0) N))) into (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) 4.501 * [approximate]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) in (N) around 0 4.501 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) in N 4.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1))))) in N 4.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1)))) in N 4.501 * [taylor]: Taking taylor expansion of 1/3 in N 4.501 * [backup-simplify]: Simplify 1/3 into 1/3 4.501 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (pow N 2) 1))) in N 4.501 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N 4.501 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.501 * [taylor]: Taking taylor expansion of 1.0 in N 4.501 * [backup-simplify]: Simplify 1.0 into 1.0 4.501 * [taylor]: Taking taylor expansion of N in N 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 1 into 1 4.501 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 4.501 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.501 * [taylor]: Taking taylor expansion of N in N 4.501 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 1 into 1 4.502 * [taylor]: Taking taylor expansion of 1 in N 4.502 * [backup-simplify]: Simplify 1 into 1 4.502 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.502 * [backup-simplify]: Simplify (+ 0 1) into 1 4.502 * [backup-simplify]: Simplify (+ 0 1) into 1 4.503 * [backup-simplify]: Simplify (log 1) into 0 4.503 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.504 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.504 * [backup-simplify]: Simplify (+ 0 0) into 0 4.504 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.509 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 4.509 * [backup-simplify]: Simplify (exp 0) into 1 4.509 * [taylor]: Taking taylor expansion of (pow (+ (* 1.0 N) (+ (pow N 2) 1)) 1/3) in N 4.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1))))) in N 4.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1.0 N) (+ (pow N 2) 1)))) in N 4.509 * [taylor]: Taking taylor expansion of 1/3 in N 4.509 * [backup-simplify]: Simplify 1/3 into 1/3 4.509 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) (+ (pow N 2) 1))) in N 4.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N 4.509 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.509 * [taylor]: Taking taylor expansion of 1.0 in N 4.509 * [backup-simplify]: Simplify 1.0 into 1.0 4.509 * [taylor]: Taking taylor expansion of N in N 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 1 into 1 4.509 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 4.509 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.509 * [taylor]: Taking taylor expansion of N in N 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 1 into 1 4.509 * [taylor]: Taking taylor expansion of 1 in N 4.509 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.510 * [backup-simplify]: Simplify (+ 0 1) into 1 4.510 * [backup-simplify]: Simplify (+ 0 1) into 1 4.510 * [backup-simplify]: Simplify (log 1) into 0 4.511 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.511 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.512 * [backup-simplify]: Simplify (+ 0 0) into 0 4.512 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.516 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 4.516 * [backup-simplify]: Simplify (exp 0) into 1 4.516 * [backup-simplify]: Simplify 1 into 1 4.520 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 4.520 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.521 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.521 * [backup-simplify]: Simplify (* 1 1) into 1 4.522 * [backup-simplify]: Simplify (+ 1 0) into 1 4.522 * [backup-simplify]: Simplify (+ 0 1) into 1 4.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5 4.540 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 0))) into 0.16666666666666666 4.547 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into 0.2222222222222222 4.547 * [backup-simplify]: Simplify 0.2222222222222222 into 0.2222222222222222 4.547 * [backup-simplify]: Simplify (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) into (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1)) 4.547 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) 4.547 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) in (N) around 0 4.548 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) in N 4.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N 4.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N 4.548 * [taylor]: Taking taylor expansion of 1/3 in N 4.548 * [backup-simplify]: Simplify 1/3 into 1/3 4.548 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 4.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N 4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.548 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.548 * [taylor]: Taking taylor expansion of N in N 4.548 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify 1 into 1 4.548 * [backup-simplify]: Simplify (* 1 1) into 1 4.549 * [backup-simplify]: Simplify (/ 1 1) into 1 4.549 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 4.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.549 * [taylor]: Taking taylor expansion of 1.0 in N 4.549 * [backup-simplify]: Simplify 1.0 into 1.0 4.549 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.549 * [taylor]: Taking taylor expansion of N in N 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 1 into 1 4.549 * [backup-simplify]: Simplify (/ 1 1) into 1 4.549 * [taylor]: Taking taylor expansion of 1 in N 4.549 * [backup-simplify]: Simplify 1 into 1 4.550 * [backup-simplify]: Simplify (+ 1 0) into 1 4.550 * [backup-simplify]: Simplify (log 1) into 0 4.551 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.551 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.551 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.551 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) 1/3) in N 4.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))))) in N 4.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))) in N 4.551 * [taylor]: Taking taylor expansion of 1/3 in N 4.551 * [backup-simplify]: Simplify 1/3 into 1/3 4.551 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 4.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N 4.551 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.551 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.551 * [taylor]: Taking taylor expansion of N in N 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 1 into 1 4.551 * [backup-simplify]: Simplify (* 1 1) into 1 4.552 * [backup-simplify]: Simplify (/ 1 1) into 1 4.552 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 4.552 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.552 * [taylor]: Taking taylor expansion of 1.0 in N 4.552 * [backup-simplify]: Simplify 1.0 into 1.0 4.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.552 * [taylor]: Taking taylor expansion of N in N 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify 1 into 1 4.552 * [backup-simplify]: Simplify (/ 1 1) into 1 4.552 * [taylor]: Taking taylor expansion of 1 in N 4.553 * [backup-simplify]: Simplify 1 into 1 4.553 * [backup-simplify]: Simplify (+ 1 0) into 1 4.553 * [backup-simplify]: Simplify (log 1) into 0 4.554 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.554 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.554 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.554 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.556 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.557 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.557 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.564 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.565 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.568 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.568 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.571 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.572 * [backup-simplify]: Simplify (+ 0 1) into 1 4.572 * [backup-simplify]: Simplify (+ 0 1) into 1 4.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5 4.584 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.585 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666 4.590 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.590 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.591 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) 4.592 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) 4.592 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in (N) around 0 4.592 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 4.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 4.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.592 * [taylor]: Taking taylor expansion of 1/3 in N 4.592 * [backup-simplify]: Simplify 1/3 into 1/3 4.592 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.592 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 4.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 4.592 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.592 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.592 * [taylor]: Taking taylor expansion of N in N 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (* 1 1) into 1 4.593 * [backup-simplify]: Simplify (/ 1 1) into 1 4.593 * [taylor]: Taking taylor expansion of 1 in N 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.593 * [taylor]: Taking taylor expansion of 1.0 in N 4.593 * [backup-simplify]: Simplify 1.0 into 1.0 4.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.593 * [taylor]: Taking taylor expansion of N in N 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (/ 1 1) into 1 4.594 * [backup-simplify]: Simplify (+ 1 0) into 1 4.595 * [backup-simplify]: Simplify (+ 1 0) into 1 4.595 * [backup-simplify]: Simplify (log 1) into 0 4.596 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.596 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.596 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.596 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 1/3) in N 4.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 4.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 4.596 * [taylor]: Taking taylor expansion of 1/3 in N 4.596 * [backup-simplify]: Simplify 1/3 into 1/3 4.596 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.596 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 4.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 4.596 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.596 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.596 * [taylor]: Taking taylor expansion of N in N 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.597 * [backup-simplify]: Simplify (* 1 1) into 1 4.597 * [backup-simplify]: Simplify (/ 1 1) into 1 4.597 * [taylor]: Taking taylor expansion of 1 in N 4.597 * [backup-simplify]: Simplify 1 into 1 4.597 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 4.597 * [taylor]: Taking taylor expansion of 1.0 in N 4.597 * [backup-simplify]: Simplify 1.0 into 1.0 4.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.598 * [taylor]: Taking taylor expansion of N in N 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (/ 1 1) into 1 4.598 * [backup-simplify]: Simplify (+ 1 0) into 1 4.599 * [backup-simplify]: Simplify (+ 1 0) into 1 4.599 * [backup-simplify]: Simplify (log 1) into 0 4.600 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.600 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.600 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.600 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.603 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.603 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.604 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.612 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.613 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (* 2 (log N))))) into (- 0.3333333333333333) 4.616 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.617 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.620 * [backup-simplify]: Simplify (+ 0 1) into 1 4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.622 * [backup-simplify]: Simplify (- 0) into 0 4.622 * [backup-simplify]: Simplify (+ 1 0) into 1 4.637 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 0.5 4.637 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.638 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (+ (* 0 -1.0) (* 0 (- (* 2 (log N)))))) into 0.16666666666666666 4.645 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.645 * [backup-simplify]: Simplify (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.2222222222222222 (pow (/ 1 (pow N 2)) 1/3)) 4.646 * [backup-simplify]: Simplify (+ (* (* 0.2222222222222222 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) 4.647 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.647 * [backup-simplify]: Simplify (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4.648 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 4.648 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 4.648 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4.648 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 4.649 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4.649 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4.650 * [backup-simplify]: Simplify (atan2 1.0 (* (* (cbrt (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) (cbrt (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (cbrt (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4.651 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 4.651 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 4.651 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4.651 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 4.651 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4.652 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4.653 * [backup-simplify]: Simplify (atan2 1.0 (* (* (cbrt (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) (cbrt (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (cbrt (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4.653 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 4.653 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.654 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4.654 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 4.654 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4.655 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4.655 * * * [progress]: simplifying candidates 4.657 * [simplify]: Simplifying: (log (cbrt (+ 1 (* (+ N 1.0) N)))) (exp (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (sqrt (+ 1 (* (+ N 1.0) N)))) (cbrt (sqrt (+ 1 (* (+ N 1.0) N)))) (cbrt 1) (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ (pow 1 3) (pow (* (+ N 1.0) N) 3))) (cbrt (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N))))) (cbrt (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)))) (cbrt (- 1 (* (+ N 1.0) N))) (* (cbrt (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (cbrt (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (+ 1 (* (+ N 1.0) N)))) (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))) (sqrt (cbrt (+ 1 (* (+ N 1.0) N)))) (sqrt (cbrt (+ 1 (* (+ N 1.0) N)))) (log (cbrt (+ 1 (* (+ N 1.0) N)))) (exp (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (sqrt (+ 1 (* (+ N 1.0) N)))) (cbrt (sqrt (+ 1 (* (+ N 1.0) N)))) (cbrt 1) (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ (pow 1 3) (pow (* (+ N 1.0) N) 3))) (cbrt (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N))))) (cbrt (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)))) (cbrt (- 1 (* (+ N 1.0) N))) (* (cbrt (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (cbrt (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (+ 1 (* (+ N 1.0) N)))) (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))) (sqrt (cbrt (+ 1 (* (+ N 1.0) N)))) (sqrt (cbrt (+ 1 (* (+ N 1.0) N)))) (log (cbrt (+ 1 (* (+ N 1.0) N)))) (exp (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (sqrt (+ 1 (* (+ N 1.0) N)))) (cbrt (sqrt (+ 1 (* (+ N 1.0) N)))) (cbrt 1) (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ (pow 1 3) (pow (* (+ N 1.0) N) 3))) (cbrt (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N))))) (cbrt (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)))) (cbrt (- 1 (* (+ N 1.0) N))) (* (cbrt (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (cbrt (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (+ 1 (* (+ N 1.0) N)))) (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))) (sqrt (cbrt (+ 1 (* (+ N 1.0) N)))) (sqrt (cbrt (+ 1 (* (+ N 1.0) N)))) (log (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))))) (exp (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))))) (* (* (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))))) (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))))) (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (* (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N)))))) (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1)) (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1)) (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 0.3333333333333333 N) (+ (* 0.2222222222222222 (pow N 2)) 1)) (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 4.659 * * [simplify]: iteration 0: 71 enodes 4.688 * * [simplify]: iteration 1: 152 enodes 4.747 * * [simplify]: iteration 2: 363 enodes 4.932 * * [simplify]: iteration 3: 909 enodes 5.597 * * [simplify]: iteration 4: 3297 enodes 6.714 * * [simplify]: iteration complete: 5001 enodes 6.714 * * [simplify]: Extracting #0: cost 24 inf + 0 6.715 * * [simplify]: Extracting #1: cost 55 inf + 1 6.715 * * [simplify]: Extracting #2: cost 148 inf + 3 6.722 * * [simplify]: Extracting #3: cost 460 inf + 1177 6.729 * * [simplify]: Extracting #4: cost 790 inf + 27740 6.748 * * [simplify]: Extracting #5: cost 738 inf + 105142 6.780 * * [simplify]: Extracting #6: cost 261 inf + 209073 6.834 * * [simplify]: Extracting #7: cost 82 inf + 255631 6.884 * * [simplify]: Extracting #8: cost 16 inf + 269438 6.926 * * [simplify]: Extracting #9: cost 0 inf + 274539 6.969 * [simplify]: Simplified to: (log (cbrt (+ (* (+ N 1.0) N) 1))) (exp (cbrt (+ (* (+ N 1.0) N) 1))) (cbrt (* (cbrt (+ (* (+ N 1.0) N) 1)) (cbrt (+ (* (+ N 1.0) N) 1)))) (cbrt (cbrt (+ (* (+ N 1.0) N) 1))) (cbrt (sqrt (+ (* (+ N 1.0) N) 1))) (cbrt (sqrt (+ (* (+ N 1.0) N) 1))) 1 (cbrt (+ (* (+ N 1.0) N) 1)) (cbrt (+ (* (* (+ N 1.0) N) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) 1)) (cbrt (- (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) -1)) (cbrt (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N)))) (cbrt (- 1 (* (+ N 1.0) N))) (* (cbrt (cbrt (+ (* (+ N 1.0) N) 1))) (cbrt (cbrt (+ (* (+ N 1.0) N) 1)))) (cbrt (cbrt (+ (* (+ N 1.0) N) 1))) (+ (* (+ N 1.0) N) 1) (sqrt (cbrt (+ (* (+ N 1.0) N) 1))) (sqrt (cbrt (+ (* (+ N 1.0) N) 1))) (log (cbrt (+ (* (+ N 1.0) N) 1))) (exp (cbrt (+ (* (+ N 1.0) N) 1))) (cbrt (* (cbrt (+ (* (+ N 1.0) N) 1)) (cbrt (+ (* (+ N 1.0) N) 1)))) (cbrt (cbrt (+ (* (+ N 1.0) N) 1))) (cbrt (sqrt (+ (* (+ N 1.0) N) 1))) (cbrt (sqrt (+ (* (+ N 1.0) N) 1))) 1 (cbrt (+ (* (+ N 1.0) N) 1)) (cbrt (+ (* (* (+ N 1.0) N) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) 1)) (cbrt (- (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) -1)) (cbrt (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N)))) (cbrt (- 1 (* (+ N 1.0) N))) (* (cbrt (cbrt (+ (* (+ N 1.0) N) 1))) (cbrt (cbrt (+ (* (+ N 1.0) N) 1)))) (cbrt (cbrt (+ (* (+ N 1.0) N) 1))) (+ (* (+ N 1.0) N) 1) (sqrt (cbrt (+ (* (+ N 1.0) N) 1))) (sqrt (cbrt (+ (* (+ N 1.0) N) 1))) (log (cbrt (+ (* (+ N 1.0) N) 1))) (exp (cbrt (+ (* (+ N 1.0) N) 1))) (cbrt (* (cbrt (+ (* (+ N 1.0) N) 1)) (cbrt (+ (* (+ N 1.0) N) 1)))) (cbrt (cbrt (+ (* (+ N 1.0) N) 1))) (cbrt (sqrt (+ (* (+ N 1.0) N) 1))) (cbrt (sqrt (+ (* (+ N 1.0) N) 1))) 1 (cbrt (+ (* (+ N 1.0) N) 1)) (cbrt (+ (* (* (+ N 1.0) N) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) 1)) (cbrt (- (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) -1)) (cbrt (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N)))) (cbrt (- 1 (* (+ N 1.0) N))) (* (cbrt (cbrt (+ (* (+ N 1.0) N) 1))) (cbrt (cbrt (+ (* (+ N 1.0) N) 1)))) (cbrt (cbrt (+ (* (+ N 1.0) N) 1))) (+ (* (+ N 1.0) N) 1) (sqrt (cbrt (+ (* (+ N 1.0) N) 1))) (sqrt (cbrt (+ (* (+ N 1.0) N) 1))) (log (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (exp (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (* (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))) (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (* (* (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (+ (* N (+ (* N 0.2222222222222222) 0.3333333333333333)) 1) (+ (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.2222222222222222 (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))))) (+ (+ (* 0.2222222222222222 (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N)))) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (* N (+ (* N 0.2222222222222222) 0.3333333333333333)) 1) (+ (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.2222222222222222 (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))))) (+ (+ (* 0.2222222222222222 (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N)))) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (* N (+ (* N 0.2222222222222222) 0.3333333333333333)) 1) (+ (+ (* (cbrt (/ 1 N)) 0.3333333333333333) (pow (/ 1 N) -2/3)) (* 0.2222222222222222 (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))))) (+ (+ (* 0.2222222222222222 (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N)))) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 N)) 0.3333333333333333)) (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (atan2 1.0 (+ (* (+ N 1.0) N) 1)) 6.975 * * * [progress]: adding candidates to table 7.309 * * [progress]: iteration 4 / 4 7.309 * * * [progress]: picking best candidate 7.338 * * * * [pick]: Picked # 7.338 * * * [progress]: localizing error 7.366 * * * [progress]: generating rewritten candidates 7.366 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.366 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 7.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 7.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 7.382 * * * [progress]: generating series expansions 7.382 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.382 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.382 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 7.382 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 7.382 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.383 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 7.383 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.383 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.383 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) (* (cbrt (+ (/ 1 N) 1.0)) (/ 1 N))))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.384 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 7.384 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 7.384 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.384 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 7.384 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.384 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.385 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) (* (cbrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.385 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 7.385 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.385 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.385 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.385 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.386 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.386 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 7.386 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 7.386 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 7.386 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.386 * [taylor]: Taking taylor expansion of 1/3 in N 7.386 * [backup-simplify]: Simplify 1/3 into 1/3 7.386 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.386 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.386 * [taylor]: Taking taylor expansion of N in N 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.386 * [taylor]: Taking taylor expansion of 1.0 in N 7.386 * [backup-simplify]: Simplify 1.0 into 1.0 7.387 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.387 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.388 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.389 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.389 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.389 * [taylor]: Taking taylor expansion of 1/3 in N 7.389 * [backup-simplify]: Simplify 1/3 into 1/3 7.389 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.389 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.389 * [taylor]: Taking taylor expansion of N in N 7.389 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify 1 into 1 7.389 * [taylor]: Taking taylor expansion of 1.0 in N 7.389 * [backup-simplify]: Simplify 1.0 into 1.0 7.389 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.389 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.390 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.391 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.391 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 7.392 * [backup-simplify]: Simplify (+ 1 0) into 1 7.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.397 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 7.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 7.401 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 7.401 * [backup-simplify]: Simplify (+ 0 0) into 0 7.409 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.411 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.420 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.422 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.426 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 7.427 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 7.427 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 7.427 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.427 * [taylor]: Taking taylor expansion of 1/3 in N 7.427 * [backup-simplify]: Simplify 1/3 into 1/3 7.427 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.427 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.427 * [taylor]: Taking taylor expansion of N in N 7.427 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify 1 into 1 7.427 * [backup-simplify]: Simplify (/ 1 1) into 1 7.427 * [taylor]: Taking taylor expansion of 1.0 in N 7.427 * [backup-simplify]: Simplify 1.0 into 1.0 7.427 * [backup-simplify]: Simplify (+ 1 0) into 1 7.428 * [backup-simplify]: Simplify (log 1) into 0 7.428 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.428 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.428 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.428 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.428 * [taylor]: Taking taylor expansion of 1/3 in N 7.428 * [backup-simplify]: Simplify 1/3 into 1/3 7.428 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.428 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.428 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.428 * [taylor]: Taking taylor expansion of N in N 7.428 * [backup-simplify]: Simplify 0 into 0 7.428 * [backup-simplify]: Simplify 1 into 1 7.428 * [backup-simplify]: Simplify (/ 1 1) into 1 7.428 * [taylor]: Taking taylor expansion of 1.0 in N 7.428 * [backup-simplify]: Simplify 1.0 into 1.0 7.429 * [backup-simplify]: Simplify (+ 1 0) into 1 7.429 * [backup-simplify]: Simplify (log 1) into 0 7.429 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.429 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.429 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.429 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.435 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.435 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 7.438 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 7.438 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify (+ 0 0) into 0 7.446 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.446 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.447 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 7.450 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.450 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.451 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 7.451 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 7.451 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 7.451 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 7.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 7.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 7.451 * [taylor]: Taking taylor expansion of 1/3 in N 7.451 * [backup-simplify]: Simplify 1/3 into 1/3 7.451 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.451 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.451 * [taylor]: Taking taylor expansion of 1.0 in N 7.451 * [backup-simplify]: Simplify 1.0 into 1.0 7.451 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.451 * [taylor]: Taking taylor expansion of N in N 7.451 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify 1 into 1 7.451 * [backup-simplify]: Simplify (/ 1 1) into 1 7.451 * [backup-simplify]: Simplify (- 1) into -1 7.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.452 * [backup-simplify]: Simplify (log -1) into (log -1) 7.452 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.453 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 7.453 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.453 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 7.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 7.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 7.453 * [taylor]: Taking taylor expansion of 1/3 in N 7.453 * [backup-simplify]: Simplify 1/3 into 1/3 7.453 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.453 * [taylor]: Taking taylor expansion of 1.0 in N 7.453 * [backup-simplify]: Simplify 1.0 into 1.0 7.453 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.453 * [taylor]: Taking taylor expansion of N in N 7.453 * [backup-simplify]: Simplify 0 into 0 7.453 * [backup-simplify]: Simplify 1 into 1 7.453 * [backup-simplify]: Simplify (/ 1 1) into 1 7.454 * [backup-simplify]: Simplify (- 1) into -1 7.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.454 * [backup-simplify]: Simplify (log -1) into (log -1) 7.455 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.455 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 7.455 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.456 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.457 * [backup-simplify]: Simplify (- 0) into 0 7.457 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.461 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.462 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 7.464 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 7.464 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 7.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.465 * [backup-simplify]: Simplify (- 0) into 0 7.465 * [backup-simplify]: Simplify (+ 0 0) into 0 7.476 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.476 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.477 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 7.481 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 7.481 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 7.483 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 7.483 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 7.483 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 7.483 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 7.483 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.483 * [taylor]: Taking taylor expansion of 1/3 in N 7.483 * [backup-simplify]: Simplify 1/3 into 1/3 7.483 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.483 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.483 * [taylor]: Taking taylor expansion of N in N 7.483 * [backup-simplify]: Simplify 0 into 0 7.483 * [backup-simplify]: Simplify 1 into 1 7.483 * [taylor]: Taking taylor expansion of 1.0 in N 7.483 * [backup-simplify]: Simplify 1.0 into 1.0 7.483 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.483 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.484 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.485 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.485 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.485 * [taylor]: Taking taylor expansion of 1/3 in N 7.485 * [backup-simplify]: Simplify 1/3 into 1/3 7.485 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.485 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.485 * [taylor]: Taking taylor expansion of N in N 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [taylor]: Taking taylor expansion of 1.0 in N 7.486 * [backup-simplify]: Simplify 1.0 into 1.0 7.486 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.486 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.487 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.489 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.489 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 7.490 * [backup-simplify]: Simplify (+ 1 0) into 1 7.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.495 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 7.498 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 7.499 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 7.499 * [backup-simplify]: Simplify (+ 0 0) into 0 7.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.507 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.515 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.518 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.523 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 7.523 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 7.523 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 7.523 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.523 * [taylor]: Taking taylor expansion of 1/3 in N 7.523 * [backup-simplify]: Simplify 1/3 into 1/3 7.523 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.523 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.523 * [taylor]: Taking taylor expansion of N in N 7.523 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify 1 into 1 7.524 * [backup-simplify]: Simplify (/ 1 1) into 1 7.524 * [taylor]: Taking taylor expansion of 1.0 in N 7.524 * [backup-simplify]: Simplify 1.0 into 1.0 7.524 * [backup-simplify]: Simplify (+ 1 0) into 1 7.525 * [backup-simplify]: Simplify (log 1) into 0 7.525 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.525 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.525 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.525 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.525 * [taylor]: Taking taylor expansion of 1/3 in N 7.525 * [backup-simplify]: Simplify 1/3 into 1/3 7.525 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.525 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.526 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.526 * [taylor]: Taking taylor expansion of N in N 7.526 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify 1 into 1 7.526 * [backup-simplify]: Simplify (/ 1 1) into 1 7.526 * [taylor]: Taking taylor expansion of 1.0 in N 7.526 * [backup-simplify]: Simplify 1.0 into 1.0 7.526 * [backup-simplify]: Simplify (+ 1 0) into 1 7.527 * [backup-simplify]: Simplify (log 1) into 0 7.527 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.527 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.527 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.528 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.529 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.536 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.536 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 7.539 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 7.539 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 7.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.540 * [backup-simplify]: Simplify (+ 0 0) into 0 7.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.549 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.550 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 7.553 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.553 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.554 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 7.554 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 7.554 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 7.554 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 7.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 7.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 7.554 * [taylor]: Taking taylor expansion of 1/3 in N 7.554 * [backup-simplify]: Simplify 1/3 into 1/3 7.554 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.554 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.554 * [taylor]: Taking taylor expansion of 1.0 in N 7.554 * [backup-simplify]: Simplify 1.0 into 1.0 7.554 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.554 * [taylor]: Taking taylor expansion of N in N 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (/ 1 1) into 1 7.555 * [backup-simplify]: Simplify (- 1) into -1 7.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.555 * [backup-simplify]: Simplify (log -1) into (log -1) 7.556 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.556 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 7.556 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.556 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 7.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 7.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 7.557 * [taylor]: Taking taylor expansion of 1/3 in N 7.557 * [backup-simplify]: Simplify 1/3 into 1/3 7.557 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.557 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.557 * [taylor]: Taking taylor expansion of 1.0 in N 7.557 * [backup-simplify]: Simplify 1.0 into 1.0 7.557 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.557 * [taylor]: Taking taylor expansion of N in N 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 1 into 1 7.557 * [backup-simplify]: Simplify (/ 1 1) into 1 7.557 * [backup-simplify]: Simplify (- 1) into -1 7.558 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.558 * [backup-simplify]: Simplify (log -1) into (log -1) 7.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.559 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 7.559 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.559 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.560 * [backup-simplify]: Simplify (- 0) into 0 7.560 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.565 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.565 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 7.572 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 7.575 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 7.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.576 * [backup-simplify]: Simplify (- 0) into 0 7.576 * [backup-simplify]: Simplify (+ 0 0) into 0 7.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.583 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.584 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 7.588 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 7.588 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 7.589 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 7.589 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 7.589 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 7.589 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 7.589 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.589 * [taylor]: Taking taylor expansion of 1/3 in N 7.589 * [backup-simplify]: Simplify 1/3 into 1/3 7.589 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.589 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.590 * [taylor]: Taking taylor expansion of N in N 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [taylor]: Taking taylor expansion of 1.0 in N 7.590 * [backup-simplify]: Simplify 1.0 into 1.0 7.590 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.590 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.591 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.592 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.592 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.592 * [taylor]: Taking taylor expansion of 1/3 in N 7.592 * [backup-simplify]: Simplify 1/3 into 1/3 7.592 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.592 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.592 * [taylor]: Taking taylor expansion of N in N 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [taylor]: Taking taylor expansion of 1.0 in N 7.592 * [backup-simplify]: Simplify 1.0 into 1.0 7.592 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.592 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.593 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.594 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.594 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 7.594 * [backup-simplify]: Simplify (+ 1 0) into 1 7.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.598 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 7.601 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 7.602 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 7.602 * [backup-simplify]: Simplify (+ 0 0) into 0 7.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.610 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.619 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.622 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.626 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 7.626 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 7.626 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 7.626 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.626 * [taylor]: Taking taylor expansion of 1/3 in N 7.626 * [backup-simplify]: Simplify 1/3 into 1/3 7.626 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.626 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.626 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.626 * [taylor]: Taking taylor expansion of N in N 7.626 * [backup-simplify]: Simplify 0 into 0 7.626 * [backup-simplify]: Simplify 1 into 1 7.627 * [backup-simplify]: Simplify (/ 1 1) into 1 7.627 * [taylor]: Taking taylor expansion of 1.0 in N 7.627 * [backup-simplify]: Simplify 1.0 into 1.0 7.627 * [backup-simplify]: Simplify (+ 1 0) into 1 7.627 * [backup-simplify]: Simplify (log 1) into 0 7.628 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.628 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.628 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.628 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.628 * [taylor]: Taking taylor expansion of 1/3 in N 7.628 * [backup-simplify]: Simplify 1/3 into 1/3 7.628 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.628 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.628 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.628 * [taylor]: Taking taylor expansion of N in N 7.628 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify 1 into 1 7.628 * [backup-simplify]: Simplify (/ 1 1) into 1 7.628 * [taylor]: Taking taylor expansion of 1.0 in N 7.628 * [backup-simplify]: Simplify 1.0 into 1.0 7.628 * [backup-simplify]: Simplify (+ 1 0) into 1 7.629 * [backup-simplify]: Simplify (log 1) into 0 7.629 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.629 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.629 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.629 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.630 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.634 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.634 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 7.636 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 7.636 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 7.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.637 * [backup-simplify]: Simplify (+ 0 0) into 0 7.646 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.647 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.648 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 7.653 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.653 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.654 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 7.654 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 7.654 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 7.654 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 7.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 7.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 7.655 * [taylor]: Taking taylor expansion of 1/3 in N 7.655 * [backup-simplify]: Simplify 1/3 into 1/3 7.655 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.655 * [taylor]: Taking taylor expansion of 1.0 in N 7.655 * [backup-simplify]: Simplify 1.0 into 1.0 7.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.655 * [taylor]: Taking taylor expansion of N in N 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [backup-simplify]: Simplify (/ 1 1) into 1 7.656 * [backup-simplify]: Simplify (- 1) into -1 7.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.657 * [backup-simplify]: Simplify (log -1) into (log -1) 7.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.658 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 7.658 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.659 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 7.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 7.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 7.659 * [taylor]: Taking taylor expansion of 1/3 in N 7.659 * [backup-simplify]: Simplify 1/3 into 1/3 7.659 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.659 * [taylor]: Taking taylor expansion of 1.0 in N 7.659 * [backup-simplify]: Simplify 1.0 into 1.0 7.659 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.659 * [taylor]: Taking taylor expansion of N in N 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify (/ 1 1) into 1 7.660 * [backup-simplify]: Simplify (- 1) into -1 7.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.660 * [backup-simplify]: Simplify (log -1) into (log -1) 7.661 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.662 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 7.663 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.663 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 7.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.664 * [backup-simplify]: Simplify (- 0) into 0 7.665 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.679 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.680 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 7.682 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 7.682 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 7.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.683 * [backup-simplify]: Simplify (- 0) into 0 7.683 * [backup-simplify]: Simplify (+ 0 0) into 0 7.689 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.690 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.691 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 7.695 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 7.695 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 7.696 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 7.696 * * * [progress]: simplifying candidates 7.697 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 7.698 * * [simplify]: iteration 0: 92 enodes 7.720 * * [simplify]: iteration 1: 201 enodes 7.813 * * [simplify]: iteration 2: 496 enodes 7.978 * * [simplify]: iteration 3: 1335 enodes 8.751 * * [simplify]: iteration 4: 4147 enodes 9.820 * * [simplify]: iteration complete: 5002 enodes 9.820 * * [simplify]: Extracting #0: cost 24 inf + 0 9.820 * * [simplify]: Extracting #1: cost 71 inf + 1 9.822 * * [simplify]: Extracting #2: cost 560 inf + 87 9.826 * * [simplify]: Extracting #3: cost 1052 inf + 9212 9.838 * * [simplify]: Extracting #4: cost 881 inf + 66024 9.863 * * [simplify]: Extracting #5: cost 675 inf + 165395 9.903 * * [simplify]: Extracting #6: cost 544 inf + 220374 9.946 * * [simplify]: Extracting #7: cost 453 inf + 277894 9.997 * * [simplify]: Extracting #8: cost 130 inf + 455202 10.073 * * [simplify]: Extracting #9: cost 15 inf + 507919 10.146 * * [simplify]: Extracting #10: cost 0 inf + 511714 10.213 * [simplify]: Simplified to: (log (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (exp (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (* (cbrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (cbrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1)))) (cbrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (* (* (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (sqrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (sqrt (atan2 1.0 (+ (* N (+ 1.0 N)) 1))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (* (* N N) N) (* 1.0 (* 1.0 1.0)))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (* (* N N) N) (* 1.0 (* 1.0 1.0)))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N))) (exp (cbrt (+ 1.0 N))) (cbrt (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) (cbrt (sqrt (+ 1.0 N))) 1 (cbrt (+ 1.0 N)) 1 (cbrt (+ 1.0 N)) (cbrt (+ (* (* N N) N) (* 1.0 (* 1.0 1.0)))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ 1.0 N))) (cbrt (cbrt (+ 1.0 N)))) (cbrt (cbrt (+ 1.0 N))) (+ 1.0 N) (sqrt (cbrt (+ 1.0 N))) (sqrt (cbrt (+ 1.0 N))) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) (- (+ (* (* N (cbrt 1.0)) (+ (* N 0.05555555555555555) 0.3333333333333333)) (cbrt 1.0)) (* (/ (* N N) 6) (cbrt (/ 1 (pow 1.0 5))))) (+ (- (* (cbrt (/ 1 (* N N))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5))))) (pow (/ 1 N) -1/3)) (+ (/ (* (cbrt N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) N) (cbrt N)) (- (+ (* (* N (cbrt 1.0)) (+ (* N 0.05555555555555555) 0.3333333333333333)) (cbrt 1.0)) (* (/ (* N N) 6) (cbrt (/ 1 (pow 1.0 5))))) (+ (- (* (cbrt (/ 1 (* N N))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5))))) (pow (/ 1 N) -1/3)) (+ (/ (* (cbrt N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) N) (cbrt N)) (- (+ (* (* N (cbrt 1.0)) (+ (* N 0.05555555555555555) 0.3333333333333333)) (cbrt 1.0)) (* (/ (* N N) 6) (cbrt (/ 1 (pow 1.0 5))))) (+ (- (* (cbrt (/ 1 (* N N))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5))))) (pow (/ 1 N) -1/3)) (+ (/ (* (cbrt N) (- 0.3333333333333333 (/ 0.1111111111111111 N))) N) (cbrt N)) 10.218 * * * [progress]: adding candidates to table 10.534 * [progress]: [Phase 3 of 3] Extracting. 10.534 * * [regime]: Finding splitpoints for: (# # # # # # #) 10.535 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.535 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 10.599 * * * [regime]: Found split indices: #