164.984 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.169 * * * [progress]: [2/2] Setting up program. 0.197 * [progress]: [Phase 2 of 3] Improving. 0.199 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.204 * * [simplify]: iteration 0: 6 enodes 0.220 * * [simplify]: iteration 1: 9 enodes 0.223 * * [simplify]: iteration 2: 10 enodes 0.233 * * [simplify]: iteration complete: 10 enodes 0.233 * * [simplify]: Extracting #0: cost 1 inf + 0 0.233 * * [simplify]: Extracting #1: cost 4 inf + 0 0.233 * * [simplify]: Extracting #2: cost 6 inf + 0 0.233 * * [simplify]: Extracting #3: cost 6 inf + 1 0.233 * * [simplify]: Extracting #4: cost 2 inf + 296 0.234 * * [simplify]: Extracting #5: cost 0 inf + 735 0.234 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.237 * * [progress]: iteration 1 / 4 0.237 * * * [progress]: picking best candidate 0.744 * * * * [pick]: Picked # 0.744 * * * [progress]: localizing error 0.829 * * * [progress]: generating rewritten candidates 0.829 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.877 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.921 * * * [progress]: generating series expansions 0.922 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.941 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.941 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.941 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.949 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 1.003 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 1.004 * [taylor]: Taking taylor expansion of (atan N) in N 1.004 * [backup-simplify]: Simplify (atan N) into (atan N) 1.004 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 1.004 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 1.004 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 1.004 * [taylor]: Taking taylor expansion of (atan N) in N 1.004 * [backup-simplify]: Simplify (atan N) into (atan N) 1.006 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 1.006 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 1.006 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (- 0) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (- 0) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (- 0) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify (- 0) into 0 1.054 * [backup-simplify]: Simplify (+ 0 0) into 0 1.054 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify (- 0) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 1.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 1.074 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 1.074 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 1.074 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 1.074 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 1.074 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 1.074 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1.074 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 1.074 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 1.079 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 1.079 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 1.079 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1.079 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 1.079 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 1.080 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 1.081 * [backup-simplify]: Simplify (- 0) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (- 0) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify (+ 0 0) into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 1.095 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 1.095 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 1.095 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 1.095 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 1.095 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 1.095 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 1.096 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1.096 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 1.096 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 1.096 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 1.100 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 1.100 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1.101 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 1.101 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 1.101 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (- 0) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (- 0) into 0 1.118 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (- 0) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 1.121 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.121 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 1.121 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 1.121 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 1.121 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 1.121 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 1.121 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 1.122 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 1.122 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 1.122 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 1.122 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 1.122 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 1.122 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 1.122 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 1.123 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0)) 1.123 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N))) 1.123 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 1.123 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 1.123 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 1.123 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 1.124 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 1.124 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0)) 1.125 * * * [progress]: simplifying candidates 1.126 * [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)) 1.128 * * [simplify]: iteration 0: 40 enodes 1.148 * * [simplify]: iteration 1: 76 enodes 1.227 * * [simplify]: iteration 2: 150 enodes 1.596 * * [simplify]: iteration 3: 274 enodes 2.024 * * [simplify]: iteration 4: 574 enodes 3.440 * * [simplify]: iteration 5: 1470 enodes 9.981 * * [simplify]: iteration 6: 4894 enodes 17.552 * * [simplify]: iteration complete: 5005 enodes 17.553 * * [simplify]: Extracting #0: cost 23 inf + 0 17.553 * * [simplify]: Extracting #1: cost 242 inf + 1 17.558 * * [simplify]: Extracting #2: cost 892 inf + 5 17.573 * * [simplify]: Extracting #3: cost 835 inf + 53339 17.671 * * [simplify]: Extracting #4: cost 345 inf + 310916 17.823 * * [simplify]: Extracting #5: cost 52 inf + 548225 18.110 * * [simplify]: Extracting #6: cost 1 inf + 588018 18.421 * * [simplify]: Extracting #7: cost 0 inf + 588262 18.848 * [simplify]: Simplified to: 1.0 (+ 1 (* N (+ N 1.0))) (exp (- (atan (+ N 1.0)) (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))) (- (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (* (* (atan N) (atan N)) (atan N))) (+ (* (atan (+ N 1.0)) (+ (atan N) (atan (+ N 1.0)))) (* (atan N) (atan N))) (- (atan N)) (* (+ (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (+ (atan N) (atan (+ N 1.0))) (+ (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)) 18.882 * * * [progress]: adding candidates to table 19.249 * * [progress]: iteration 2 / 4 19.250 * * * [progress]: picking best candidate 19.270 * * * * [pick]: Picked # 19.277 * * * [progress]: localizing error 19.319 * * * [progress]: generating rewritten candidates 19.319 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 19.331 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 19.548 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 19.575 * * * [progress]: generating series expansions 19.590 * * * * [progress]: [ 1 / 3 ] generating series at (2) 19.590 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 19.590 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 19.590 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 19.596 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 19.596 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 19.597 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 19.599 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 19.599 * [backup-simplify]: Simplify 0 into 0 19.600 * [backup-simplify]: Simplify 0 into 0 19.600 * [backup-simplify]: Simplify 0 into 0 19.600 * [backup-simplify]: Simplify 0 into 0 19.600 * [backup-simplify]: Simplify 0 into 0 19.600 * [backup-simplify]: Simplify 0 into 0 19.600 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 19.600 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 19.600 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 19.600 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 19.601 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 19.601 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 19.601 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 19.602 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 19.602 * [backup-simplify]: Simplify 0 into 0 19.602 * [backup-simplify]: Simplify 0 into 0 19.602 * [backup-simplify]: Simplify 0 into 0 19.602 * [backup-simplify]: Simplify 0 into 0 19.602 * [backup-simplify]: Simplify 0 into 0 19.602 * [backup-simplify]: Simplify 0 into 0 19.603 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 19.603 * [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)))) 19.603 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 19.603 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 19.603 * [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)))) 19.603 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 19.604 * [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)))) 19.604 * [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)))) 19.604 * [backup-simplify]: Simplify 0 into 0 19.604 * [backup-simplify]: Simplify 0 into 0 19.604 * [backup-simplify]: Simplify 0 into 0 19.604 * [backup-simplify]: Simplify 0 into 0 19.604 * [backup-simplify]: Simplify 0 into 0 19.604 * [backup-simplify]: Simplify 0 into 0 19.605 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 19.605 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 19.605 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 19.605 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 19.605 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 19.605 * [taylor]: Taking taylor expansion of N in N 19.605 * [backup-simplify]: Simplify 0 into 0 19.605 * [backup-simplify]: Simplify 1 into 1 19.605 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 19.605 * [taylor]: Taking taylor expansion of N in N 19.605 * [backup-simplify]: Simplify 0 into 0 19.605 * [backup-simplify]: Simplify 1 into 1 19.605 * [taylor]: Taking taylor expansion of 1.0 in N 19.605 * [backup-simplify]: Simplify 1.0 into 1.0 19.605 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 19.605 * [taylor]: Taking taylor expansion of N in N 19.605 * [backup-simplify]: Simplify 0 into 0 19.605 * [backup-simplify]: Simplify 1 into 1 19.605 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 19.606 * [taylor]: Taking taylor expansion of N in N 19.606 * [backup-simplify]: Simplify 0 into 0 19.606 * [backup-simplify]: Simplify 1 into 1 19.606 * [taylor]: Taking taylor expansion of 1.0 in N 19.606 * [backup-simplify]: Simplify 1.0 into 1.0 19.607 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 19.616 * [backup-simplify]: Simplify (* 0 1.0) into 0 19.616 * [backup-simplify]: Simplify 0 into 0 19.617 * [backup-simplify]: Simplify (+ 1 0) into 1 19.619 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 19.619 * [backup-simplify]: Simplify 1.0 into 1.0 19.625 * [backup-simplify]: Simplify (+ 0 0) into 0 19.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 19.626 * [backup-simplify]: Simplify 1 into 1 19.627 * [backup-simplify]: Simplify (+ 0 0) into 0 19.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 19.629 * [backup-simplify]: Simplify 0 into 0 19.630 * [backup-simplify]: Simplify (+ 0 0) into 0 19.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 19.640 * [backup-simplify]: Simplify 0 into 0 19.641 * [backup-simplify]: Simplify (+ 0 0) into 0 19.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 19.642 * [backup-simplify]: Simplify 0 into 0 19.643 * [backup-simplify]: Simplify (+ 0 0) into 0 19.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 19.645 * [backup-simplify]: Simplify 0 into 0 19.645 * [backup-simplify]: Simplify (+ 0 0) into 0 19.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 19.647 * [backup-simplify]: Simplify 0 into 0 19.647 * [backup-simplify]: Simplify (+ 0 0) into 0 19.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 19.650 * [backup-simplify]: Simplify 0 into 0 19.650 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 19.650 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 19.650 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 19.650 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 19.650 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 19.650 * [taylor]: Taking taylor expansion of (/ 1 N) in N 19.650 * [taylor]: Taking taylor expansion of N in N 19.650 * [backup-simplify]: Simplify 0 into 0 19.650 * [backup-simplify]: Simplify 1 into 1 19.651 * [backup-simplify]: Simplify (/ 1 1) into 1 19.651 * [taylor]: Taking taylor expansion of 1.0 in N 19.651 * [backup-simplify]: Simplify 1.0 into 1.0 19.651 * [taylor]: Taking taylor expansion of N in N 19.651 * [backup-simplify]: Simplify 0 into 0 19.651 * [backup-simplify]: Simplify 1 into 1 19.651 * [backup-simplify]: Simplify (+ 1 0) into 1 19.651 * [backup-simplify]: Simplify (/ 1 1) into 1 19.651 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 19.651 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 19.651 * [taylor]: Taking taylor expansion of (/ 1 N) in N 19.651 * [taylor]: Taking taylor expansion of N in N 19.651 * [backup-simplify]: Simplify 0 into 0 19.651 * [backup-simplify]: Simplify 1 into 1 19.652 * [backup-simplify]: Simplify (/ 1 1) into 1 19.652 * [taylor]: Taking taylor expansion of 1.0 in N 19.652 * [backup-simplify]: Simplify 1.0 into 1.0 19.652 * [taylor]: Taking taylor expansion of N in N 19.652 * [backup-simplify]: Simplify 0 into 0 19.652 * [backup-simplify]: Simplify 1 into 1 19.653 * [backup-simplify]: Simplify (+ 1 0) into 1 19.654 * [backup-simplify]: Simplify (/ 1 1) into 1 19.654 * [backup-simplify]: Simplify 1 into 1 19.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.655 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 19.656 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 19.656 * [backup-simplify]: Simplify 1.0 into 1.0 19.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.657 * [backup-simplify]: Simplify (+ 0 0) into 0 19.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 19.658 * [backup-simplify]: Simplify 0 into 0 19.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.658 * [backup-simplify]: Simplify (+ 0 0) into 0 19.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.659 * [backup-simplify]: Simplify 0 into 0 19.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.660 * [backup-simplify]: Simplify (+ 0 0) into 0 19.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.660 * [backup-simplify]: Simplify 0 into 0 19.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.661 * [backup-simplify]: Simplify (+ 0 0) into 0 19.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.662 * [backup-simplify]: Simplify 0 into 0 19.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.663 * [backup-simplify]: Simplify (+ 0 0) into 0 19.664 * [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 19.664 * [backup-simplify]: Simplify 0 into 0 19.664 * [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 19.665 * [backup-simplify]: Simplify (+ 0 0) into 0 19.666 * [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 19.666 * [backup-simplify]: Simplify 0 into 0 19.666 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 19.667 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 19.667 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 19.667 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 19.667 * [taylor]: Taking taylor expansion of -1 in N 19.667 * [backup-simplify]: Simplify -1 into -1 19.667 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 19.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 19.667 * [taylor]: Taking taylor expansion of 1.0 in N 19.667 * [backup-simplify]: Simplify 1.0 into 1.0 19.667 * [taylor]: Taking taylor expansion of (/ 1 N) in N 19.667 * [taylor]: Taking taylor expansion of N in N 19.667 * [backup-simplify]: Simplify 0 into 0 19.667 * [backup-simplify]: Simplify 1 into 1 19.667 * [backup-simplify]: Simplify (/ 1 1) into 1 19.668 * [taylor]: Taking taylor expansion of N in N 19.668 * [backup-simplify]: Simplify 0 into 0 19.668 * [backup-simplify]: Simplify 1 into 1 19.668 * [backup-simplify]: Simplify (- 1) into -1 19.668 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.669 * [backup-simplify]: Simplify (/ -1 1) into -1 19.669 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 19.669 * [taylor]: Taking taylor expansion of -1 in N 19.669 * [backup-simplify]: Simplify -1 into -1 19.669 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 19.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 19.669 * [taylor]: Taking taylor expansion of 1.0 in N 19.669 * [backup-simplify]: Simplify 1.0 into 1.0 19.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 19.669 * [taylor]: Taking taylor expansion of N in N 19.669 * [backup-simplify]: Simplify 0 into 0 19.669 * [backup-simplify]: Simplify 1 into 1 19.669 * [backup-simplify]: Simplify (/ 1 1) into 1 19.669 * [taylor]: Taking taylor expansion of N in N 19.669 * [backup-simplify]: Simplify 0 into 0 19.669 * [backup-simplify]: Simplify 1 into 1 19.670 * [backup-simplify]: Simplify (- 1) into -1 19.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.670 * [backup-simplify]: Simplify (/ -1 1) into -1 19.671 * [backup-simplify]: Simplify (* -1 -1) into 1 19.671 * [backup-simplify]: Simplify 1 into 1 19.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.672 * [backup-simplify]: Simplify (- 0) into 0 19.673 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.676 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 19.677 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 19.678 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 19.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.679 * [backup-simplify]: Simplify (- 0) into 0 19.680 * [backup-simplify]: Simplify (+ 0 0) into 0 19.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 19.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 19.683 * [backup-simplify]: Simplify 0 into 0 19.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.685 * [backup-simplify]: Simplify (- 0) into 0 19.685 * [backup-simplify]: Simplify (+ 0 0) into 0 19.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.688 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 19.688 * [backup-simplify]: Simplify 0 into 0 19.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.690 * [backup-simplify]: Simplify (- 0) into 0 19.691 * [backup-simplify]: Simplify (+ 0 0) into 0 19.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.694 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 19.695 * [backup-simplify]: Simplify 0 into 0 19.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.698 * [backup-simplify]: Simplify (- 0) into 0 19.699 * [backup-simplify]: Simplify (+ 0 0) into 0 19.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.703 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 19.703 * [backup-simplify]: Simplify 0 into 0 19.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.705 * [backup-simplify]: Simplify (- 0) into 0 19.706 * [backup-simplify]: Simplify (+ 0 0) into 0 19.707 * [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 19.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 19.709 * [backup-simplify]: Simplify 0 into 0 19.711 * [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 19.711 * [backup-simplify]: Simplify (- 0) into 0 19.712 * [backup-simplify]: Simplify (+ 0 0) into 0 19.713 * [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 19.716 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 19.716 * [backup-simplify]: Simplify 0 into 0 19.717 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 19.717 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 19.717 * [backup-simplify]: Simplify (+ 1 (* (+ N 1.0) N)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 19.717 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 19.717 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 19.718 * [taylor]: Taking taylor expansion of (pow N 2) in N 19.718 * [taylor]: Taking taylor expansion of N in N 19.718 * [backup-simplify]: Simplify 0 into 0 19.718 * [backup-simplify]: Simplify 1 into 1 19.718 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 19.718 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 19.718 * [taylor]: Taking taylor expansion of 1.0 in N 19.718 * [backup-simplify]: Simplify 1.0 into 1.0 19.718 * [taylor]: Taking taylor expansion of N in N 19.718 * [backup-simplify]: Simplify 0 into 0 19.718 * [backup-simplify]: Simplify 1 into 1 19.718 * [taylor]: Taking taylor expansion of 1 in N 19.718 * [backup-simplify]: Simplify 1 into 1 19.718 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 19.718 * [taylor]: Taking taylor expansion of (pow N 2) in N 19.718 * [taylor]: Taking taylor expansion of N in N 19.718 * [backup-simplify]: Simplify 0 into 0 19.718 * [backup-simplify]: Simplify 1 into 1 19.718 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 19.718 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 19.718 * [taylor]: Taking taylor expansion of 1.0 in N 19.718 * [backup-simplify]: Simplify 1.0 into 1.0 19.718 * [taylor]: Taking taylor expansion of N in N 19.718 * [backup-simplify]: Simplify 0 into 0 19.718 * [backup-simplify]: Simplify 1 into 1 19.718 * [taylor]: Taking taylor expansion of 1 in N 19.718 * [backup-simplify]: Simplify 1 into 1 19.720 * [backup-simplify]: Simplify (* 1.0 0) into 0 19.721 * [backup-simplify]: Simplify (+ 0 1) into 1 19.721 * [backup-simplify]: Simplify (+ 0 1) into 1 19.721 * [backup-simplify]: Simplify 1 into 1 19.723 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 19.724 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.724 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 19.725 * [backup-simplify]: Simplify 1.0 into 1.0 19.726 * [backup-simplify]: Simplify (* 1 1) into 1 19.727 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 19.728 * [backup-simplify]: Simplify (+ 0 0) into 0 19.729 * [backup-simplify]: Simplify (+ 1 0) into 1 19.729 * [backup-simplify]: Simplify 1 into 1 19.729 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 19.730 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))) into (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 19.730 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 19.730 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 19.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 19.730 * [taylor]: Taking taylor expansion of 1.0 in N 19.730 * [backup-simplify]: Simplify 1.0 into 1.0 19.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 19.730 * [taylor]: Taking taylor expansion of N in N 19.730 * [backup-simplify]: Simplify 0 into 0 19.730 * [backup-simplify]: Simplify 1 into 1 19.731 * [backup-simplify]: Simplify (/ 1 1) into 1 19.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 19.731 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 19.731 * [taylor]: Taking taylor expansion of (pow N 2) in N 19.731 * [taylor]: Taking taylor expansion of N in N 19.731 * [backup-simplify]: Simplify 0 into 0 19.731 * [backup-simplify]: Simplify 1 into 1 19.731 * [backup-simplify]: Simplify (* 1 1) into 1 19.732 * [backup-simplify]: Simplify (/ 1 1) into 1 19.732 * [taylor]: Taking taylor expansion of 1 in N 19.732 * [backup-simplify]: Simplify 1 into 1 19.732 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 19.732 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 19.732 * [taylor]: Taking taylor expansion of 1.0 in N 19.732 * [backup-simplify]: Simplify 1.0 into 1.0 19.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 19.732 * [taylor]: Taking taylor expansion of N in N 19.732 * [backup-simplify]: Simplify 0 into 0 19.732 * [backup-simplify]: Simplify 1 into 1 19.733 * [backup-simplify]: Simplify (/ 1 1) into 1 19.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 19.733 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 19.733 * [taylor]: Taking taylor expansion of (pow N 2) in N 19.733 * [taylor]: Taking taylor expansion of N in N 19.733 * [backup-simplify]: Simplify 0 into 0 19.733 * [backup-simplify]: Simplify 1 into 1 19.733 * [backup-simplify]: Simplify (* 1 1) into 1 19.734 * [backup-simplify]: Simplify (/ 1 1) into 1 19.734 * [taylor]: Taking taylor expansion of 1 in N 19.734 * [backup-simplify]: Simplify 1 into 1 19.734 * [backup-simplify]: Simplify (+ 1 0) into 1 19.735 * [backup-simplify]: Simplify (+ 0 1) into 1 19.735 * [backup-simplify]: Simplify 1 into 1 19.735 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 19.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.737 * [backup-simplify]: Simplify (+ 0 0) into 0 19.738 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 19.738 * [backup-simplify]: Simplify 1.0 into 1.0 19.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.739 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 19.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.746 * [backup-simplify]: Simplify (+ 0 1) into 1 19.747 * [backup-simplify]: Simplify (+ 0 1) into 1 19.747 * [backup-simplify]: Simplify 1 into 1 19.748 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 19.748 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 19.748 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 19.748 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 19.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 19.748 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 19.748 * [taylor]: Taking taylor expansion of (pow N 2) in N 19.748 * [taylor]: Taking taylor expansion of N in N 19.748 * [backup-simplify]: Simplify 0 into 0 19.748 * [backup-simplify]: Simplify 1 into 1 19.749 * [backup-simplify]: Simplify (* 1 1) into 1 19.749 * [backup-simplify]: Simplify (/ 1 1) into 1 19.749 * [taylor]: Taking taylor expansion of 1 in N 19.749 * [backup-simplify]: Simplify 1 into 1 19.749 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 19.749 * [taylor]: Taking taylor expansion of 1.0 in N 19.749 * [backup-simplify]: Simplify 1.0 into 1.0 19.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 19.749 * [taylor]: Taking taylor expansion of N in N 19.749 * [backup-simplify]: Simplify 0 into 0 19.750 * [backup-simplify]: Simplify 1 into 1 19.750 * [backup-simplify]: Simplify (/ 1 1) into 1 19.750 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 19.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 19.750 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 19.750 * [taylor]: Taking taylor expansion of (pow N 2) in N 19.750 * [taylor]: Taking taylor expansion of N in N 19.750 * [backup-simplify]: Simplify 0 into 0 19.750 * [backup-simplify]: Simplify 1 into 1 19.751 * [backup-simplify]: Simplify (* 1 1) into 1 19.751 * [backup-simplify]: Simplify (/ 1 1) into 1 19.751 * [taylor]: Taking taylor expansion of 1 in N 19.751 * [backup-simplify]: Simplify 1 into 1 19.751 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 19.751 * [taylor]: Taking taylor expansion of 1.0 in N 19.751 * [backup-simplify]: Simplify 1.0 into 1.0 19.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 19.751 * [taylor]: Taking taylor expansion of N in N 19.751 * [backup-simplify]: Simplify 0 into 0 19.751 * [backup-simplify]: Simplify 1 into 1 19.752 * [backup-simplify]: Simplify (/ 1 1) into 1 19.752 * [backup-simplify]: Simplify (+ 1 0) into 1 19.753 * [backup-simplify]: Simplify (+ 1 0) into 1 19.753 * [backup-simplify]: Simplify 1 into 1 19.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.755 * [backup-simplify]: Simplify (+ 0 0) into 0 19.755 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 19.756 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 19.756 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 19.757 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 19.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.759 * [backup-simplify]: Simplify (+ 0 1) into 1 19.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.761 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 19.761 * [backup-simplify]: Simplify (- 0) into 0 19.762 * [backup-simplify]: Simplify (+ 1 0) into 1 19.762 * [backup-simplify]: Simplify 1 into 1 19.763 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 19.763 * * * [progress]: simplifying candidates 19.764 * [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)))) (* (+ 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) (* (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)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 19.766 * * [simplify]: iteration 0: 73 enodes 19.812 * * [simplify]: iteration 1: 187 enodes 20.030 * * [simplify]: iteration 2: 523 enodes 21.640 * * [simplify]: iteration 3: 1524 enodes 26.591 * * [simplify]: iteration complete: 5001 enodes 26.591 * * [simplify]: Extracting #0: cost 34 inf + 0 26.592 * * [simplify]: Extracting #1: cost 366 inf + 0 26.600 * * [simplify]: Extracting #2: cost 1334 inf + 6028 26.639 * * [simplify]: Extracting #3: cost 1312 inf + 95789 26.915 * * [simplify]: Extracting #4: cost 292 inf + 307928 27.139 * * [simplify]: Extracting #5: cost 31 inf + 368320 27.361 * * [simplify]: Extracting #6: cost 4 inf + 372486 27.505 * * [simplify]: Extracting #7: cost 0 inf + 373498 27.987 * [simplify]: Simplified to: (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))))) (* N (+ 1.0 N)) (log (* N (+ 1.0 N))) (log (* N (+ 1.0 N))) (exp (* N (+ 1.0 N))) (* (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* N (+ 1.0 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) (sqrt (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* (* (cbrt N) (cbrt N)) (+ 1.0 N)) (* (sqrt N) (+ 1.0 N)) (+ 1.0 N) (* (cbrt (+ 1.0 N)) N) (* (sqrt (+ 1.0 N)) N) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (+ (* (* N N) (* N N)) (* (* 1.0 (* 1.0 1.0)) N)) (* (* (+ 1.0 N) N) (- N 1.0)) (exp (+ 1 (* 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)))) (+ 1 (* (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* N (+ 1.0 N)))) (+ (- 1 (* N (+ 1.0 N))) (* (* N (+ 1.0 N)) (* N (+ 1.0 N)))) (- 1 (* (* N (+ 1.0 N)) (* N (+ 1.0 N)))) (- 1 (* N (+ 1.0 N))) (atan2 1.0 (+ (* 1.0 N) (+ (* N N) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (* N N) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (* N N) 1))) (+ (* 1.0 N) (* N N)) (+ (* 1.0 N) (* N N)) (+ (* 1.0 N) (* N N)) (+ (* 1.0 N) (+ (* N N) 1)) (+ (* 1.0 N) (+ (* N N) 1)) (+ (* 1.0 N) (+ (* N N) 1)) 28.043 * * * [progress]: adding candidates to table 29.103 * * [progress]: iteration 3 / 4 29.103 * * * [progress]: picking best candidate 29.158 * * * * [pick]: Picked # 29.158 * * * [progress]: localizing error 29.189 * * * [progress]: generating rewritten candidates 29.189 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 29.190 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 29.208 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 29.267 * * * [progress]: generating series expansions 29.268 * * * * [progress]: [ 1 / 3 ] generating series at (2) 29.269 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (+ (* 1.0 N) (* N N)))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 29.269 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 29.269 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 29.284 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 29.285 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 29.285 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 29.288 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 29.289 * [backup-simplify]: Simplify 0 into 0 29.289 * [backup-simplify]: Simplify 0 into 0 29.289 * [backup-simplify]: Simplify 0 into 0 29.289 * [backup-simplify]: Simplify 0 into 0 29.289 * [backup-simplify]: Simplify 0 into 0 29.289 * [backup-simplify]: Simplify 0 into 0 29.289 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 29.290 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (+ (* 1.0 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 29.290 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 29.290 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 29.290 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 29.290 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 29.291 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 29.291 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 29.291 * [backup-simplify]: Simplify 0 into 0 29.291 * [backup-simplify]: Simplify 0 into 0 29.291 * [backup-simplify]: Simplify 0 into 0 29.292 * [backup-simplify]: Simplify 0 into 0 29.292 * [backup-simplify]: Simplify 0 into 0 29.292 * [backup-simplify]: Simplify 0 into 0 29.295 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 29.296 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (+ (* 1.0 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 29.296 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 29.296 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 29.297 * [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)))) 29.297 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 29.297 * [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)))) 29.298 * [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)))) 29.298 * [backup-simplify]: Simplify 0 into 0 29.298 * [backup-simplify]: Simplify 0 into 0 29.298 * [backup-simplify]: Simplify 0 into 0 29.298 * [backup-simplify]: Simplify 0 into 0 29.298 * [backup-simplify]: Simplify 0 into 0 29.298 * [backup-simplify]: Simplify 0 into 0 29.298 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 29.298 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 29.299 * [backup-simplify]: Simplify (+ (* 1.0 N) (* N N)) into (+ (pow N 2) (* 1.0 N)) 29.299 * [approximate]: Taking taylor expansion of (+ (pow N 2) (* 1.0 N)) in (N) around 0 29.299 * [taylor]: Taking taylor expansion of (+ (pow N 2) (* 1.0 N)) in N 29.299 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.299 * [taylor]: Taking taylor expansion of N in N 29.299 * [backup-simplify]: Simplify 0 into 0 29.299 * [backup-simplify]: Simplify 1 into 1 29.299 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 29.299 * [taylor]: Taking taylor expansion of 1.0 in N 29.299 * [backup-simplify]: Simplify 1.0 into 1.0 29.299 * [taylor]: Taking taylor expansion of N in N 29.299 * [backup-simplify]: Simplify 0 into 0 29.299 * [backup-simplify]: Simplify 1 into 1 29.299 * [taylor]: Taking taylor expansion of (+ (pow N 2) (* 1.0 N)) in N 29.299 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.299 * [taylor]: Taking taylor expansion of N in N 29.299 * [backup-simplify]: Simplify 0 into 0 29.299 * [backup-simplify]: Simplify 1 into 1 29.299 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 29.299 * [taylor]: Taking taylor expansion of 1.0 in N 29.299 * [backup-simplify]: Simplify 1.0 into 1.0 29.299 * [taylor]: Taking taylor expansion of N in N 29.299 * [backup-simplify]: Simplify 0 into 0 29.299 * [backup-simplify]: Simplify 1 into 1 29.304 * [backup-simplify]: Simplify (* 1.0 0) into 0 29.305 * [backup-simplify]: Simplify (+ 0 0) into 0 29.305 * [backup-simplify]: Simplify 0 into 0 29.307 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 29.308 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 29.308 * [backup-simplify]: Simplify 1.0 into 1.0 29.308 * [backup-simplify]: Simplify (* 1 1) into 1 29.309 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 29.310 * [backup-simplify]: Simplify (+ 1 0) into 1 29.310 * [backup-simplify]: Simplify 1 into 1 29.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.312 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.313 * [backup-simplify]: Simplify (+ 0 0) into 0 29.313 * [backup-simplify]: Simplify 0 into 0 29.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.315 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 29.316 * [backup-simplify]: Simplify (+ 0 0) into 0 29.316 * [backup-simplify]: Simplify 0 into 0 29.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.319 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 29.320 * [backup-simplify]: Simplify (+ 0 0) into 0 29.320 * [backup-simplify]: Simplify 0 into 0 29.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.324 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 29.325 * [backup-simplify]: Simplify (+ 0 0) into 0 29.325 * [backup-simplify]: Simplify 0 into 0 29.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 29.329 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 29.330 * [backup-simplify]: Simplify (+ 0 0) into 0 29.330 * [backup-simplify]: Simplify 0 into 0 29.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 29.334 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 29.335 * [backup-simplify]: Simplify (+ 0 0) into 0 29.335 * [backup-simplify]: Simplify 0 into 0 29.336 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N)) 29.336 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (+ (* 1.0 (/ 1 N)) (/ 1 (pow N 2))) 29.336 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (/ 1 (pow N 2))) in (N) around 0 29.336 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (/ 1 (pow N 2))) in N 29.336 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 29.336 * [taylor]: Taking taylor expansion of 1.0 in N 29.336 * [backup-simplify]: Simplify 1.0 into 1.0 29.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 29.336 * [taylor]: Taking taylor expansion of N in N 29.336 * [backup-simplify]: Simplify 0 into 0 29.336 * [backup-simplify]: Simplify 1 into 1 29.338 * [backup-simplify]: Simplify (/ 1 1) into 1 29.338 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 29.338 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.338 * [taylor]: Taking taylor expansion of N in N 29.338 * [backup-simplify]: Simplify 0 into 0 29.338 * [backup-simplify]: Simplify 1 into 1 29.339 * [backup-simplify]: Simplify (* 1 1) into 1 29.340 * [backup-simplify]: Simplify (/ 1 1) into 1 29.340 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (/ 1 (pow N 2))) in N 29.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 29.341 * [taylor]: Taking taylor expansion of 1.0 in N 29.341 * [backup-simplify]: Simplify 1.0 into 1.0 29.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 29.341 * [taylor]: Taking taylor expansion of N in N 29.341 * [backup-simplify]: Simplify 0 into 0 29.341 * [backup-simplify]: Simplify 1 into 1 29.342 * [backup-simplify]: Simplify (/ 1 1) into 1 29.342 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 29.342 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.342 * [taylor]: Taking taylor expansion of N in N 29.342 * [backup-simplify]: Simplify 0 into 0 29.342 * [backup-simplify]: Simplify 1 into 1 29.342 * [backup-simplify]: Simplify (* 1 1) into 1 29.343 * [backup-simplify]: Simplify (/ 1 1) into 1 29.344 * [backup-simplify]: Simplify (+ 0 1) into 1 29.344 * [backup-simplify]: Simplify 1 into 1 29.344 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.346 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 29.346 * [backup-simplify]: Simplify 1.0 into 1.0 29.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.347 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 29.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.349 * [backup-simplify]: Simplify (+ 0 0) into 0 29.349 * [backup-simplify]: Simplify 0 into 0 29.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.351 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 29.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.353 * [backup-simplify]: Simplify (+ 0 0) into 0 29.353 * [backup-simplify]: Simplify 0 into 0 29.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.355 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.357 * [backup-simplify]: Simplify (+ 0 0) into 0 29.357 * [backup-simplify]: Simplify 0 into 0 29.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.360 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 29.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.364 * [backup-simplify]: Simplify (+ 0 0) into 0 29.364 * [backup-simplify]: Simplify 0 into 0 29.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.366 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 29.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 29.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.369 * [backup-simplify]: Simplify (+ 0 0) into 0 29.369 * [backup-simplify]: Simplify 0 into 0 29.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.372 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 29.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 29.376 * [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 29.376 * [backup-simplify]: Simplify (+ 0 0) into 0 29.376 * [backup-simplify]: Simplify 0 into 0 29.376 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N)) 29.376 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (- (/ 1 (pow N 2)) (* 1.0 (/ 1 N))) 29.376 * [approximate]: Taking taylor expansion of (- (/ 1 (pow N 2)) (* 1.0 (/ 1 N))) in (N) around 0 29.376 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (* 1.0 (/ 1 N))) in N 29.377 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 29.377 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.377 * [taylor]: Taking taylor expansion of N in N 29.377 * [backup-simplify]: Simplify 0 into 0 29.377 * [backup-simplify]: Simplify 1 into 1 29.377 * [backup-simplify]: Simplify (* 1 1) into 1 29.377 * [backup-simplify]: Simplify (/ 1 1) into 1 29.377 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 29.377 * [taylor]: Taking taylor expansion of 1.0 in N 29.377 * [backup-simplify]: Simplify 1.0 into 1.0 29.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 29.377 * [taylor]: Taking taylor expansion of N in N 29.377 * [backup-simplify]: Simplify 0 into 0 29.377 * [backup-simplify]: Simplify 1 into 1 29.377 * [backup-simplify]: Simplify (/ 1 1) into 1 29.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (* 1.0 (/ 1 N))) in N 29.378 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 29.378 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.378 * [taylor]: Taking taylor expansion of N in N 29.378 * [backup-simplify]: Simplify 0 into 0 29.378 * [backup-simplify]: Simplify 1 into 1 29.378 * [backup-simplify]: Simplify (* 1 1) into 1 29.378 * [backup-simplify]: Simplify (/ 1 1) into 1 29.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 29.378 * [taylor]: Taking taylor expansion of 1.0 in N 29.378 * [backup-simplify]: Simplify 1.0 into 1.0 29.378 * [taylor]: Taking taylor expansion of (/ 1 N) in N 29.378 * [taylor]: Taking taylor expansion of N in N 29.378 * [backup-simplify]: Simplify 0 into 0 29.378 * [backup-simplify]: Simplify 1 into 1 29.378 * [backup-simplify]: Simplify (/ 1 1) into 1 29.379 * [backup-simplify]: Simplify (+ 1 0) into 1 29.379 * [backup-simplify]: Simplify 1 into 1 29.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.381 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.381 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 29.382 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 29.382 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 29.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.384 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 29.384 * [backup-simplify]: Simplify (- 0) into 0 29.384 * [backup-simplify]: Simplify (+ 0 0) into 0 29.385 * [backup-simplify]: Simplify 0 into 0 29.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.389 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 29.390 * [backup-simplify]: Simplify (- 0) into 0 29.390 * [backup-simplify]: Simplify (+ 0 0) into 0 29.390 * [backup-simplify]: Simplify 0 into 0 29.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.397 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.399 * [backup-simplify]: Simplify (- 0) into 0 29.400 * [backup-simplify]: Simplify (+ 0 0) into 0 29.400 * [backup-simplify]: Simplify 0 into 0 29.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 29.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.406 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 29.407 * [backup-simplify]: Simplify (- 0) into 0 29.407 * [backup-simplify]: Simplify (+ 0 0) into 0 29.408 * [backup-simplify]: Simplify 0 into 0 29.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 29.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.414 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 29.415 * [backup-simplify]: Simplify (- 0) into 0 29.415 * [backup-simplify]: Simplify (+ 0 0) into 0 29.415 * [backup-simplify]: Simplify 0 into 0 29.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 29.420 * [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 29.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.423 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 29.424 * [backup-simplify]: Simplify (- 0) into 0 29.425 * [backup-simplify]: Simplify (+ 0 0) into 0 29.425 * [backup-simplify]: Simplify 0 into 0 29.426 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N)) 29.427 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 29.427 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 N) (* N N))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 29.427 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 29.427 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 29.427 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.427 * [taylor]: Taking taylor expansion of N in N 29.427 * [backup-simplify]: Simplify 0 into 0 29.427 * [backup-simplify]: Simplify 1 into 1 29.427 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 29.428 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 29.428 * [taylor]: Taking taylor expansion of 1.0 in N 29.428 * [backup-simplify]: Simplify 1.0 into 1.0 29.428 * [taylor]: Taking taylor expansion of N in N 29.428 * [backup-simplify]: Simplify 0 into 0 29.428 * [backup-simplify]: Simplify 1 into 1 29.428 * [taylor]: Taking taylor expansion of 1 in N 29.428 * [backup-simplify]: Simplify 1 into 1 29.428 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 29.428 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.428 * [taylor]: Taking taylor expansion of N in N 29.428 * [backup-simplify]: Simplify 0 into 0 29.428 * [backup-simplify]: Simplify 1 into 1 29.428 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 29.428 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 29.428 * [taylor]: Taking taylor expansion of 1.0 in N 29.428 * [backup-simplify]: Simplify 1.0 into 1.0 29.428 * [taylor]: Taking taylor expansion of N in N 29.428 * [backup-simplify]: Simplify 0 into 0 29.428 * [backup-simplify]: Simplify 1 into 1 29.428 * [taylor]: Taking taylor expansion of 1 in N 29.428 * [backup-simplify]: Simplify 1 into 1 29.429 * [backup-simplify]: Simplify (* 1.0 0) into 0 29.430 * [backup-simplify]: Simplify (+ 0 1) into 1 29.431 * [backup-simplify]: Simplify (+ 0 1) into 1 29.431 * [backup-simplify]: Simplify 1 into 1 29.433 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 29.434 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 29.434 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 29.434 * [backup-simplify]: Simplify 1.0 into 1.0 29.435 * [backup-simplify]: Simplify (* 1 1) into 1 29.436 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 29.437 * [backup-simplify]: Simplify (+ 0 0) into 0 29.437 * [backup-simplify]: Simplify (+ 1 0) into 1 29.437 * [backup-simplify]: Simplify 1 into 1 29.438 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (pow N 2) (+ (* 1.0 N) 1)) 29.438 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) 29.438 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 29.438 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 29.438 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 29.438 * [taylor]: Taking taylor expansion of 1.0 in N 29.438 * [backup-simplify]: Simplify 1.0 into 1.0 29.438 * [taylor]: Taking taylor expansion of (/ 1 N) in N 29.438 * [taylor]: Taking taylor expansion of N in N 29.438 * [backup-simplify]: Simplify 0 into 0 29.438 * [backup-simplify]: Simplify 1 into 1 29.439 * [backup-simplify]: Simplify (/ 1 1) into 1 29.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 29.439 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 29.439 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.439 * [taylor]: Taking taylor expansion of N in N 29.439 * [backup-simplify]: Simplify 0 into 0 29.439 * [backup-simplify]: Simplify 1 into 1 29.440 * [backup-simplify]: Simplify (* 1 1) into 1 29.440 * [backup-simplify]: Simplify (/ 1 1) into 1 29.440 * [taylor]: Taking taylor expansion of 1 in N 29.440 * [backup-simplify]: Simplify 1 into 1 29.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 29.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 29.441 * [taylor]: Taking taylor expansion of 1.0 in N 29.441 * [backup-simplify]: Simplify 1.0 into 1.0 29.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 29.441 * [taylor]: Taking taylor expansion of N in N 29.441 * [backup-simplify]: Simplify 0 into 0 29.441 * [backup-simplify]: Simplify 1 into 1 29.441 * [backup-simplify]: Simplify (/ 1 1) into 1 29.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 29.441 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 29.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.441 * [taylor]: Taking taylor expansion of N in N 29.441 * [backup-simplify]: Simplify 0 into 0 29.441 * [backup-simplify]: Simplify 1 into 1 29.442 * [backup-simplify]: Simplify (* 1 1) into 1 29.442 * [backup-simplify]: Simplify (/ 1 1) into 1 29.442 * [taylor]: Taking taylor expansion of 1 in N 29.442 * [backup-simplify]: Simplify 1 into 1 29.443 * [backup-simplify]: Simplify (+ 1 0) into 1 29.443 * [backup-simplify]: Simplify (+ 0 1) into 1 29.443 * [backup-simplify]: Simplify 1 into 1 29.444 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.446 * [backup-simplify]: Simplify (+ 0 0) into 0 29.447 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 29.447 * [backup-simplify]: Simplify 1.0 into 1.0 29.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.449 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 29.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.453 * [backup-simplify]: Simplify (+ 0 1) into 1 29.454 * [backup-simplify]: Simplify (+ 0 1) into 1 29.454 * [backup-simplify]: Simplify 1 into 1 29.454 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 29.455 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) 29.455 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 29.455 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 29.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 29.455 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 29.455 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.455 * [taylor]: Taking taylor expansion of N in N 29.455 * [backup-simplify]: Simplify 0 into 0 29.455 * [backup-simplify]: Simplify 1 into 1 29.456 * [backup-simplify]: Simplify (* 1 1) into 1 29.456 * [backup-simplify]: Simplify (/ 1 1) into 1 29.456 * [taylor]: Taking taylor expansion of 1 in N 29.456 * [backup-simplify]: Simplify 1 into 1 29.456 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 29.456 * [taylor]: Taking taylor expansion of 1.0 in N 29.456 * [backup-simplify]: Simplify 1.0 into 1.0 29.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 29.456 * [taylor]: Taking taylor expansion of N in N 29.456 * [backup-simplify]: Simplify 0 into 0 29.456 * [backup-simplify]: Simplify 1 into 1 29.457 * [backup-simplify]: Simplify (/ 1 1) into 1 29.457 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 29.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 29.457 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 29.457 * [taylor]: Taking taylor expansion of (pow N 2) in N 29.457 * [taylor]: Taking taylor expansion of N in N 29.457 * [backup-simplify]: Simplify 0 into 0 29.457 * [backup-simplify]: Simplify 1 into 1 29.458 * [backup-simplify]: Simplify (* 1 1) into 1 29.458 * [backup-simplify]: Simplify (/ 1 1) into 1 29.458 * [taylor]: Taking taylor expansion of 1 in N 29.458 * [backup-simplify]: Simplify 1 into 1 29.458 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 29.458 * [taylor]: Taking taylor expansion of 1.0 in N 29.458 * [backup-simplify]: Simplify 1.0 into 1.0 29.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 29.459 * [taylor]: Taking taylor expansion of N in N 29.459 * [backup-simplify]: Simplify 0 into 0 29.459 * [backup-simplify]: Simplify 1 into 1 29.459 * [backup-simplify]: Simplify (/ 1 1) into 1 29.460 * [backup-simplify]: Simplify (+ 1 0) into 1 29.460 * [backup-simplify]: Simplify (+ 1 0) into 1 29.460 * [backup-simplify]: Simplify 1 into 1 29.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.462 * [backup-simplify]: Simplify (+ 0 0) into 0 29.463 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.463 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 29.464 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 29.465 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 29.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.468 * [backup-simplify]: Simplify (+ 0 1) into 1 29.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.470 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 29.471 * [backup-simplify]: Simplify (- 0) into 0 29.471 * [backup-simplify]: Simplify (+ 1 0) into 1 29.471 * [backup-simplify]: Simplify 1 into 1 29.473 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (pow N 2) (+ (* 1.0 N) 1)) 29.473 * * * [progress]: simplifying candidates 29.474 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (+ (* 1.0 N) (* N N))))) (exp (atan2 1.0 (+ 1 (+ (* 1.0 N) (* N N))))) (* (cbrt (atan2 1.0 (+ 1 (+ (* 1.0 N) (* N N))))) (cbrt (atan2 1.0 (+ 1 (+ (* 1.0 N) (* N N)))))) (cbrt (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))))) (atan2 1.0 (+ 1 (+ (* 1.0 N) (* N N))))) (sqrt (atan2 1.0 (+ 1 (+ (* 1.0 N) (* N N))))) (sqrt (atan2 1.0 (+ 1 (+ (* 1.0 N) (* N N))))) (* (exp (* 1.0 N)) (exp (* N N))) (log (+ (* 1.0 N) (* N N))) (exp (+ (* 1.0 N) (* N N))) (* (cbrt (+ (* 1.0 N) (* N N))) (cbrt (+ (* 1.0 N) (* N N)))) (cbrt (+ (* 1.0 N) (* N N))) (* (* (+ (* 1.0 N) (* N N)) (+ (* 1.0 N) (* N N))) (+ (* 1.0 N) (* N N))) (sqrt (+ (* 1.0 N) (* N N))) (sqrt (+ (* 1.0 N) (* N N))) (+ (pow (* 1.0 N) 3) (pow (* N N) 3)) (+ (* (* 1.0 N) (* 1.0 N)) (- (* (* N N) (* N N)) (* (* 1.0 N) (* N N)))) (- (* (* 1.0 N) (* 1.0 N)) (* (* N N) (* N N))) (- (* 1.0 N) (* N N)) (+ 1.0 N) (* (exp 1) (* (exp (* 1.0 N)) (exp (* N N)))) (* (exp 1) (exp (+ (* 1.0 N) (* N N)))) (log (+ 1 (+ (* 1.0 N) (* N N)))) (exp (+ 1 (+ (* 1.0 N) (* N N)))) (* (cbrt (+ 1 (+ (* 1.0 N) (* N N)))) (cbrt (+ 1 (+ (* 1.0 N) (* N N))))) (cbrt (+ 1 (+ (* 1.0 N) (* N N)))) (* (* (+ 1 (+ (* 1.0 N) (* N N))) (+ 1 (+ (* 1.0 N) (* N N)))) (+ 1 (+ (* 1.0 N) (* N N)))) (sqrt (+ 1 (+ (* 1.0 N) (* N N)))) (sqrt (+ 1 (+ (* 1.0 N) (* N N)))) (+ (pow 1 3) (pow (+ (* 1.0 N) (* N N)) 3)) (+ (* 1 1) (- (* (+ (* 1.0 N) (* N N)) (+ (* 1.0 N) (* N N))) (* 1 (+ (* 1.0 N) (* N N))))) (- (* 1 1) (* (+ (* 1.0 N) (* N N)) (+ (* 1.0 N) (* N N)))) (- 1 (+ (* 1.0 N) (* N N))) (+ 1 (+ (* 1.0 N) (* N N))) (+ 1 (* 1.0 N)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 29.477 * * [simplify]: iteration 0: 63 enodes 29.605 * * [simplify]: iteration 1: 192 enodes 29.986 * * [simplify]: iteration 2: 649 enodes 32.567 * * [simplify]: iteration 3: 2341 enodes 36.930 * * [simplify]: iteration complete: 5004 enodes 36.931 * * [simplify]: Extracting #0: cost 31 inf + 0 36.932 * * [simplify]: Extracting #1: cost 350 inf + 0 36.941 * * [simplify]: Extracting #2: cost 1219 inf + 5033 36.980 * * [simplify]: Extracting #3: cost 1254 inf + 77488 37.158 * * [simplify]: Extracting #4: cost 441 inf + 263306 37.335 * * [simplify]: Extracting #5: cost 92 inf + 352000 37.477 * * [simplify]: Extracting #6: cost 14 inf + 367050 37.696 * * [simplify]: Extracting #7: cost 0 inf + 371401 37.928 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (* N (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (* (* N (+ N 1.0)) (* (* N (+ N 1.0)) (* N (+ N 1.0)))) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (* (* N N) N) (+ (* (* 1.0 1.0) 1.0) (* (* N N) N))) (+ (* (- (* N N) (* 1.0 N)) (* N N)) (* (* 1.0 N) (* 1.0 N))) (* (- (* 1.0 1.0) (* N N)) (* N N)) (* N (- 1.0 N)) (+ N 1.0) (exp (+ 1 (* N (+ N 1.0)))) (exp (+ 1 (* N (+ N 1.0)))) (log (+ 1 (* N (+ N 1.0)))) (exp (+ 1 (* N (+ N 1.0)))) (* (cbrt (+ 1 (* N (+ N 1.0)))) (cbrt (+ 1 (* N (+ N 1.0))))) (cbrt (+ 1 (* N (+ N 1.0)))) (* (+ 1 (* N (+ N 1.0))) (* (+ 1 (* N (+ N 1.0))) (+ 1 (* N (+ N 1.0))))) (sqrt (+ 1 (* N (+ N 1.0)))) (sqrt (+ 1 (* N (+ N 1.0)))) (+ 1 (* (* N (+ N 1.0)) (* (* N (+ N 1.0)) (* N (+ N 1.0))))) (+ (* (* N (+ N 1.0)) (* N (+ N 1.0))) (- 1 (* N (+ N 1.0)))) (- 1 (* (* N (+ N 1.0)) (* N (+ N 1.0)))) (- 1 (* N (+ N 1.0))) (+ 1 (* N (+ N 1.0))) (+ (* 1.0 N) 1) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (* N (+ N 1.0)) (* N (+ N 1.0)) (* N (+ N 1.0)) (+ 1 (* N (+ N 1.0))) (+ 1 (* N (+ N 1.0))) (+ 1 (* N (+ N 1.0))) 38.011 * * * [progress]: adding candidates to table 38.772 * * [progress]: iteration 4 / 4 38.776 * * * [progress]: picking best candidate 38.903 * * * * [pick]: Picked # 38.907 * * * [progress]: localizing error 38.987 * * * [progress]: generating rewritten candidates 38.987 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 38.994 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 38.995 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 39.007 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 39.298 * * * [progress]: generating series expansions 39.300 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 39.301 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 39.301 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 39.301 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 39.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 39.301 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 39.301 * [taylor]: Taking taylor expansion of 1/3 in N 39.301 * [backup-simplify]: Simplify 1/3 into 1/3 39.301 * [taylor]: Taking taylor expansion of (log N) in N 39.301 * [taylor]: Taking taylor expansion of N in N 39.301 * [backup-simplify]: Simplify 0 into 0 39.301 * [backup-simplify]: Simplify 1 into 1 39.302 * [backup-simplify]: Simplify (log 1) into 0 39.303 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 39.303 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 39.303 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 39.303 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 39.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 39.303 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 39.303 * [taylor]: Taking taylor expansion of 1/3 in N 39.303 * [backup-simplify]: Simplify 1/3 into 1/3 39.303 * [taylor]: Taking taylor expansion of (log N) in N 39.303 * [taylor]: Taking taylor expansion of N in N 39.303 * [backup-simplify]: Simplify 0 into 0 39.303 * [backup-simplify]: Simplify 1 into 1 39.304 * [backup-simplify]: Simplify (log 1) into 0 39.304 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 39.304 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 39.305 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 39.305 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 39.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 39.308 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 39.308 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 39.310 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 39.310 * [backup-simplify]: Simplify 0 into 0 39.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 39.326 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 39.327 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 39.337 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 39.337 * [backup-simplify]: Simplify 0 into 0 39.368 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 39.370 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 39.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 39.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 39.374 * [backup-simplify]: Simplify 0 into 0 39.399 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 39.399 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 39.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 39.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 39.403 * [backup-simplify]: Simplify 0 into 0 39.419 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 39.420 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 39.422 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 39.426 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 39.426 * [backup-simplify]: Simplify 0 into 0 39.466 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 39.467 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 39.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 39.475 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 39.476 * [backup-simplify]: Simplify 0 into 0 39.476 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 39.476 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 39.476 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 39.476 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 39.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 39.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 39.476 * [taylor]: Taking taylor expansion of 1/3 in N 39.477 * [backup-simplify]: Simplify 1/3 into 1/3 39.477 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 39.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 39.477 * [taylor]: Taking taylor expansion of N in N 39.477 * [backup-simplify]: Simplify 0 into 0 39.477 * [backup-simplify]: Simplify 1 into 1 39.477 * [backup-simplify]: Simplify (/ 1 1) into 1 39.478 * [backup-simplify]: Simplify (log 1) into 0 39.478 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.478 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 39.479 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 39.479 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 39.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 39.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 39.479 * [taylor]: Taking taylor expansion of 1/3 in N 39.479 * [backup-simplify]: Simplify 1/3 into 1/3 39.479 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 39.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 39.479 * [taylor]: Taking taylor expansion of N in N 39.479 * [backup-simplify]: Simplify 0 into 0 39.479 * [backup-simplify]: Simplify 1 into 1 39.480 * [backup-simplify]: Simplify (/ 1 1) into 1 39.480 * [backup-simplify]: Simplify (log 1) into 0 39.481 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.481 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 39.481 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 39.481 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 39.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 39.484 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.485 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 39.486 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 39.486 * [backup-simplify]: Simplify 0 into 0 39.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 39.491 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.492 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 39.493 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 39.493 * [backup-simplify]: Simplify 0 into 0 39.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.500 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 39.500 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.501 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 39.503 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 39.503 * [backup-simplify]: Simplify 0 into 0 39.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.515 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 39.516 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.518 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 39.661 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 39.667 * [backup-simplify]: Simplify 0 into 0 39.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.745 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 39.746 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.750 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 39.755 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 39.755 * [backup-simplify]: Simplify 0 into 0 39.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.813 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 39.814 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 39.822 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 39.822 * [backup-simplify]: Simplify 0 into 0 39.832 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 39.844 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 39.845 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 39.845 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 39.845 * [taylor]: Taking taylor expansion of (cbrt -1) in N 39.845 * [taylor]: Taking taylor expansion of -1 in N 39.845 * [backup-simplify]: Simplify -1 into -1 39.858 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 39.861 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 39.861 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 39.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 39.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 39.861 * [taylor]: Taking taylor expansion of 1/3 in N 39.861 * [backup-simplify]: Simplify 1/3 into 1/3 39.861 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 39.861 * [taylor]: Taking taylor expansion of (/ 1 N) in N 39.861 * [taylor]: Taking taylor expansion of N in N 39.861 * [backup-simplify]: Simplify 0 into 0 39.861 * [backup-simplify]: Simplify 1 into 1 39.862 * [backup-simplify]: Simplify (/ 1 1) into 1 39.863 * [backup-simplify]: Simplify (log 1) into 0 39.864 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.864 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 39.865 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 39.865 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 39.865 * [taylor]: Taking taylor expansion of (cbrt -1) in N 39.865 * [taylor]: Taking taylor expansion of -1 in N 39.865 * [backup-simplify]: Simplify -1 into -1 39.866 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 39.867 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 39.868 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 39.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 39.868 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 39.868 * [taylor]: Taking taylor expansion of 1/3 in N 39.868 * [backup-simplify]: Simplify 1/3 into 1/3 39.868 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 39.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 39.868 * [taylor]: Taking taylor expansion of N in N 39.868 * [backup-simplify]: Simplify 0 into 0 39.868 * [backup-simplify]: Simplify 1 into 1 39.869 * [backup-simplify]: Simplify (/ 1 1) into 1 39.869 * [backup-simplify]: Simplify (log 1) into 0 39.870 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.870 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 39.870 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 39.877 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 39.878 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 39.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 39.881 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 39.883 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 39.884 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 39.884 * [backup-simplify]: Simplify 0 into 0 39.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 39.888 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.889 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 39.890 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 39.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 39.892 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 39.893 * [backup-simplify]: Simplify 0 into 0 39.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.900 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 39.900 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.902 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 39.904 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 39.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 39.907 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 39.907 * [backup-simplify]: Simplify 0 into 0 39.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.921 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 39.923 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.926 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 39.929 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 39.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 39.934 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 39.934 * [backup-simplify]: Simplify 0 into 0 39.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.952 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 39.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 39.955 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 39.963 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 39.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 39.969 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 39.969 * [backup-simplify]: Simplify 0 into 0 39.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.003 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 40.004 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.007 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 40.014 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 40.019 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 40.019 * [backup-simplify]: Simplify 0 into 0 40.020 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 40.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 40.020 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 40.020 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 40.020 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 40.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 40.020 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 40.020 * [taylor]: Taking taylor expansion of 1/3 in N 40.020 * [backup-simplify]: Simplify 1/3 into 1/3 40.021 * [taylor]: Taking taylor expansion of (log N) in N 40.021 * [taylor]: Taking taylor expansion of N in N 40.021 * [backup-simplify]: Simplify 0 into 0 40.021 * [backup-simplify]: Simplify 1 into 1 40.021 * [backup-simplify]: Simplify (log 1) into 0 40.021 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.022 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 40.022 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 40.022 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 40.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 40.022 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 40.022 * [taylor]: Taking taylor expansion of 1/3 in N 40.022 * [backup-simplify]: Simplify 1/3 into 1/3 40.022 * [taylor]: Taking taylor expansion of (log N) in N 40.022 * [taylor]: Taking taylor expansion of N in N 40.022 * [backup-simplify]: Simplify 0 into 0 40.022 * [backup-simplify]: Simplify 1 into 1 40.022 * [backup-simplify]: Simplify (log 1) into 0 40.023 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.023 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 40.023 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 40.023 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 40.025 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 40.025 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 40.027 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 40.027 * [backup-simplify]: Simplify 0 into 0 40.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 40.031 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.032 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 40.034 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.035 * [backup-simplify]: Simplify 0 into 0 40.040 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 40.041 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 40.045 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.045 * [backup-simplify]: Simplify 0 into 0 40.055 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 40.056 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.057 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 40.060 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.060 * [backup-simplify]: Simplify 0 into 0 40.076 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 40.077 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.081 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 40.085 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.086 * [backup-simplify]: Simplify 0 into 0 40.128 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 40.129 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 40.226 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.226 * [backup-simplify]: Simplify 0 into 0 40.227 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 40.227 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 40.227 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 40.227 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 40.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 40.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 40.227 * [taylor]: Taking taylor expansion of 1/3 in N 40.227 * [backup-simplify]: Simplify 1/3 into 1/3 40.227 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 40.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 40.227 * [taylor]: Taking taylor expansion of N in N 40.227 * [backup-simplify]: Simplify 0 into 0 40.227 * [backup-simplify]: Simplify 1 into 1 40.228 * [backup-simplify]: Simplify (/ 1 1) into 1 40.228 * [backup-simplify]: Simplify (log 1) into 0 40.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.229 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 40.229 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 40.229 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 40.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 40.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 40.229 * [taylor]: Taking taylor expansion of 1/3 in N 40.229 * [backup-simplify]: Simplify 1/3 into 1/3 40.229 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 40.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 40.229 * [taylor]: Taking taylor expansion of N in N 40.229 * [backup-simplify]: Simplify 0 into 0 40.229 * [backup-simplify]: Simplify 1 into 1 40.230 * [backup-simplify]: Simplify (/ 1 1) into 1 40.230 * [backup-simplify]: Simplify (log 1) into 0 40.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.231 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 40.231 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 40.232 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 40.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 40.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 40.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 40.237 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 40.237 * [backup-simplify]: Simplify 0 into 0 40.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 40.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.244 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 40.246 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.246 * [backup-simplify]: Simplify 0 into 0 40.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.254 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 40.255 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.256 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 40.258 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.258 * [backup-simplify]: Simplify 0 into 0 40.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.279 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 40.280 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 40.285 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.286 * [backup-simplify]: Simplify 0 into 0 40.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.308 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 40.309 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 40.316 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.316 * [backup-simplify]: Simplify 0 into 0 40.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.360 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 40.361 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 40.371 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.371 * [backup-simplify]: Simplify 0 into 0 40.372 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 40.372 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 40.372 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 40.372 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 40.372 * [taylor]: Taking taylor expansion of (cbrt -1) in N 40.372 * [taylor]: Taking taylor expansion of -1 in N 40.372 * [backup-simplify]: Simplify -1 into -1 40.373 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 40.373 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 40.373 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 40.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 40.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 40.374 * [taylor]: Taking taylor expansion of 1/3 in N 40.374 * [backup-simplify]: Simplify 1/3 into 1/3 40.374 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 40.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 40.374 * [taylor]: Taking taylor expansion of N in N 40.374 * [backup-simplify]: Simplify 0 into 0 40.374 * [backup-simplify]: Simplify 1 into 1 40.374 * [backup-simplify]: Simplify (/ 1 1) into 1 40.374 * [backup-simplify]: Simplify (log 1) into 0 40.375 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.375 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 40.375 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 40.375 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 40.375 * [taylor]: Taking taylor expansion of (cbrt -1) in N 40.375 * [taylor]: Taking taylor expansion of -1 in N 40.375 * [backup-simplify]: Simplify -1 into -1 40.375 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 40.376 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 40.376 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 40.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 40.376 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 40.376 * [taylor]: Taking taylor expansion of 1/3 in N 40.376 * [backup-simplify]: Simplify 1/3 into 1/3 40.376 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 40.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 40.376 * [taylor]: Taking taylor expansion of N in N 40.376 * [backup-simplify]: Simplify 0 into 0 40.376 * [backup-simplify]: Simplify 1 into 1 40.377 * [backup-simplify]: Simplify (/ 1 1) into 1 40.377 * [backup-simplify]: Simplify (log 1) into 0 40.378 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.378 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 40.378 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 40.378 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 40.379 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 40.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 40.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 40.381 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.381 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 40.382 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 40.382 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 40.382 * [backup-simplify]: Simplify 0 into 0 40.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 40.385 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 40.387 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 40.389 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 40.389 * [backup-simplify]: Simplify 0 into 0 40.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.395 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 40.396 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.397 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 40.400 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 40.580 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 40.581 * [backup-simplify]: Simplify 0 into 0 40.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.608 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 40.610 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.619 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 40.623 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 40.630 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 40.630 * [backup-simplify]: Simplify 0 into 0 40.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.660 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 40.661 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 40.668 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 40.673 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 40.673 * [backup-simplify]: Simplify 0 into 0 40.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.720 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 40.723 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.730 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 40.741 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 40.761 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 40.761 * [backup-simplify]: Simplify 0 into 0 40.761 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 40.763 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 40.765 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 40.765 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 40.765 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 40.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 40.765 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 40.765 * [taylor]: Taking taylor expansion of 1/3 in N 40.765 * [backup-simplify]: Simplify 1/3 into 1/3 40.765 * [taylor]: Taking taylor expansion of (log N) in N 40.765 * [taylor]: Taking taylor expansion of N in N 40.765 * [backup-simplify]: Simplify 0 into 0 40.765 * [backup-simplify]: Simplify 1 into 1 40.767 * [backup-simplify]: Simplify (log 1) into 0 40.768 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.769 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 40.769 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 40.769 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 40.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 40.769 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 40.769 * [taylor]: Taking taylor expansion of 1/3 in N 40.769 * [backup-simplify]: Simplify 1/3 into 1/3 40.769 * [taylor]: Taking taylor expansion of (log N) in N 40.769 * [taylor]: Taking taylor expansion of N in N 40.769 * [backup-simplify]: Simplify 0 into 0 40.769 * [backup-simplify]: Simplify 1 into 1 40.770 * [backup-simplify]: Simplify (log 1) into 0 40.770 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.770 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 40.770 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 40.771 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 40.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 40.773 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.773 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 40.774 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 40.774 * [backup-simplify]: Simplify 0 into 0 40.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 40.777 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.778 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 40.779 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.779 * [backup-simplify]: Simplify 0 into 0 40.785 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 40.785 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.786 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 40.789 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.789 * [backup-simplify]: Simplify 0 into 0 40.801 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 40.802 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.804 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 40.806 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.806 * [backup-simplify]: Simplify 0 into 0 40.831 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 40.831 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.833 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 40.837 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.837 * [backup-simplify]: Simplify 0 into 0 40.873 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 40.873 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 40.875 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 40.882 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.882 * [backup-simplify]: Simplify 0 into 0 40.882 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 40.883 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 40.883 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 40.883 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 40.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 40.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 40.883 * [taylor]: Taking taylor expansion of 1/3 in N 40.883 * [backup-simplify]: Simplify 1/3 into 1/3 40.883 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 40.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 40.883 * [taylor]: Taking taylor expansion of N in N 40.883 * [backup-simplify]: Simplify 0 into 0 40.883 * [backup-simplify]: Simplify 1 into 1 40.883 * [backup-simplify]: Simplify (/ 1 1) into 1 40.884 * [backup-simplify]: Simplify (log 1) into 0 40.884 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.884 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 40.884 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 40.884 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 40.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 40.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 40.885 * [taylor]: Taking taylor expansion of 1/3 in N 40.885 * [backup-simplify]: Simplify 1/3 into 1/3 40.885 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 40.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N 40.885 * [taylor]: Taking taylor expansion of N in N 40.885 * [backup-simplify]: Simplify 0 into 0 40.885 * [backup-simplify]: Simplify 1 into 1 40.885 * [backup-simplify]: Simplify (/ 1 1) into 1 40.886 * [backup-simplify]: Simplify (log 1) into 0 40.886 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.886 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 40.886 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 40.886 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 40.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 40.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 40.890 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 40.891 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 40.891 * [backup-simplify]: Simplify 0 into 0 40.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.895 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 40.896 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 40.901 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.901 * [backup-simplify]: Simplify 0 into 0 40.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.908 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 40.908 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.910 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 40.911 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.912 * [backup-simplify]: Simplify 0 into 0 40.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.925 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 40.926 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 40.930 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 40.930 * [backup-simplify]: Simplify 0 into 0 40.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 40.951 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 40.951 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 40.953 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 40.957 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 40.957 * [backup-simplify]: Simplify 0 into 0 40.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.144 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 41.145 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 41.148 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 41.156 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.156 * [backup-simplify]: Simplify 0 into 0 41.158 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 41.159 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 41.159 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 41.159 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 41.159 * [taylor]: Taking taylor expansion of (cbrt -1) in N 41.159 * [taylor]: Taking taylor expansion of -1 in N 41.159 * [backup-simplify]: Simplify -1 into -1 41.160 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 41.161 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 41.161 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 41.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 41.161 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 41.161 * [taylor]: Taking taylor expansion of 1/3 in N 41.161 * [backup-simplify]: Simplify 1/3 into 1/3 41.161 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 41.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 41.161 * [taylor]: Taking taylor expansion of N in N 41.161 * [backup-simplify]: Simplify 0 into 0 41.161 * [backup-simplify]: Simplify 1 into 1 41.161 * [backup-simplify]: Simplify (/ 1 1) into 1 41.162 * [backup-simplify]: Simplify (log 1) into 0 41.162 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 41.162 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 41.162 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 41.162 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 41.162 * [taylor]: Taking taylor expansion of (cbrt -1) in N 41.162 * [taylor]: Taking taylor expansion of -1 in N 41.162 * [backup-simplify]: Simplify -1 into -1 41.163 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 41.163 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 41.163 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 41.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 41.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 41.164 * [taylor]: Taking taylor expansion of 1/3 in N 41.164 * [backup-simplify]: Simplify 1/3 into 1/3 41.164 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 41.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 41.164 * [taylor]: Taking taylor expansion of N in N 41.164 * [backup-simplify]: Simplify 0 into 0 41.164 * [backup-simplify]: Simplify 1 into 1 41.164 * [backup-simplify]: Simplify (/ 1 1) into 1 41.164 * [backup-simplify]: Simplify (log 1) into 0 41.165 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 41.165 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 41.165 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 41.166 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 41.166 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 41.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 41.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 41.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 41.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 41.170 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 41.171 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 41.171 * [backup-simplify]: Simplify 0 into 0 41.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.174 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 41.175 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 41.175 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 41.176 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 41.179 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 41.179 * [backup-simplify]: Simplify 0 into 0 41.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.190 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 41.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 41.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 41.194 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 41.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 41.199 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 41.200 * [backup-simplify]: Simplify 0 into 0 41.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.221 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 41.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 41.224 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 41.228 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 41.232 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 41.232 * [backup-simplify]: Simplify 0 into 0 41.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.252 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 41.253 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 41.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 41.263 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 41.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 41.270 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 41.270 * [backup-simplify]: Simplify 0 into 0 41.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.322 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 41.324 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 41.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 41.336 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 41.349 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 41.349 * [backup-simplify]: Simplify 0 into 0 41.351 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 41.364 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 41.365 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3) 41.365 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 41.365 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 41.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 41.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 41.365 * [taylor]: Taking taylor expansion of 1/3 in N 41.365 * [backup-simplify]: Simplify 1/3 into 1/3 41.365 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 41.365 * [taylor]: Taking taylor expansion of (pow N 2) in N 41.365 * [taylor]: Taking taylor expansion of N in N 41.365 * [backup-simplify]: Simplify 0 into 0 41.365 * [backup-simplify]: Simplify 1 into 1 41.366 * [backup-simplify]: Simplify (* 1 1) into 1 41.367 * [backup-simplify]: Simplify (log 1) into 0 41.367 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 41.367 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 41.368 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 41.368 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 41.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 41.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 41.368 * [taylor]: Taking taylor expansion of 1/3 in N 41.368 * [backup-simplify]: Simplify 1/3 into 1/3 41.368 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 41.372 * [taylor]: Taking taylor expansion of (pow N 2) in N 41.372 * [taylor]: Taking taylor expansion of N in N 41.372 * [backup-simplify]: Simplify 0 into 0 41.372 * [backup-simplify]: Simplify 1 into 1 41.374 * [backup-simplify]: Simplify (* 1 1) into 1 41.375 * [backup-simplify]: Simplify (log 1) into 0 41.381 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 41.382 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 41.382 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 41.382 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 41.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 41.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 41.386 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 41.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 41.387 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 41.387 * [backup-simplify]: Simplify 0 into 0 41.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 41.451 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 41.465 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 41.467 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 41.470 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.470 * [backup-simplify]: Simplify 0 into 0 41.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 41.501 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 41.502 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 41.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 41.504 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 41.504 * [backup-simplify]: Simplify 0 into 0 41.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 41.515 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 41.516 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 41.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 41.520 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.520 * [backup-simplify]: Simplify 0 into 0 41.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 41.541 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 41.542 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 41.553 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 41.559 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 41.559 * [backup-simplify]: Simplify 0 into 0 41.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 41.599 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 41.601 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 41.603 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 41.620 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.621 * [backup-simplify]: Simplify 0 into 0 41.621 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 41.627 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 41.627 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 41.627 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 41.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 41.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 41.627 * [taylor]: Taking taylor expansion of 1/3 in N 41.627 * [backup-simplify]: Simplify 1/3 into 1/3 41.627 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 41.628 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 41.628 * [taylor]: Taking taylor expansion of (pow N 2) in N 41.628 * [taylor]: Taking taylor expansion of N in N 41.628 * [backup-simplify]: Simplify 0 into 0 41.628 * [backup-simplify]: Simplify 1 into 1 41.630 * [backup-simplify]: Simplify (* 1 1) into 1 41.631 * [backup-simplify]: Simplify (/ 1 1) into 1 41.632 * [backup-simplify]: Simplify (log 1) into 0 41.633 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.634 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 41.634 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 41.634 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 41.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 41.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 41.634 * [taylor]: Taking taylor expansion of 1/3 in N 41.634 * [backup-simplify]: Simplify 1/3 into 1/3 41.634 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 41.634 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 41.634 * [taylor]: Taking taylor expansion of (pow N 2) in N 41.634 * [taylor]: Taking taylor expansion of N in N 41.634 * [backup-simplify]: Simplify 0 into 0 41.634 * [backup-simplify]: Simplify 1 into 1 41.636 * [backup-simplify]: Simplify (* 1 1) into 1 41.637 * [backup-simplify]: Simplify (/ 1 1) into 1 41.638 * [backup-simplify]: Simplify (log 1) into 0 41.639 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.639 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 41.639 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 41.640 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 41.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 41.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 41.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 41.658 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.659 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 41.661 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 41.662 * [backup-simplify]: Simplify 0 into 0 41.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 41.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 41.668 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.669 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 41.671 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.671 * [backup-simplify]: Simplify 0 into 0 41.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 41.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.679 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 41.680 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.682 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 41.684 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 41.684 * [backup-simplify]: Simplify 0 into 0 41.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 41.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.700 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 41.702 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 41.709 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.709 * [backup-simplify]: Simplify 0 into 0 41.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 41.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.809 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 41.829 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.832 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 41.843 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 41.843 * [backup-simplify]: Simplify 0 into 0 41.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 41.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 41.913 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 41.914 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.917 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 41.924 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 41.924 * [backup-simplify]: Simplify 0 into 0 41.926 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 41.928 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) 41.928 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in (N) around 0 41.928 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 41.928 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 41.928 * [taylor]: Taking taylor expansion of (cbrt -1) in N 41.928 * [taylor]: Taking taylor expansion of -1 in N 41.928 * [backup-simplify]: Simplify -1 into -1 41.948 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 41.952 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 41.952 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 41.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 41.952 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 41.953 * [taylor]: Taking taylor expansion of 1/3 in N 41.953 * [backup-simplify]: Simplify 1/3 into 1/3 41.953 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 41.953 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 41.953 * [taylor]: Taking taylor expansion of (pow N 2) in N 41.953 * [taylor]: Taking taylor expansion of N in N 41.953 * [backup-simplify]: Simplify 0 into 0 41.953 * [backup-simplify]: Simplify 1 into 1 41.954 * [backup-simplify]: Simplify (* 1 1) into 1 41.954 * [backup-simplify]: Simplify (/ 1 1) into 1 41.955 * [backup-simplify]: Simplify (log 1) into 0 41.955 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.955 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 41.956 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 41.956 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) in N 41.956 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 41.956 * [taylor]: Taking taylor expansion of (cbrt -1) in N 41.956 * [taylor]: Taking taylor expansion of -1 in N 41.956 * [backup-simplify]: Simplify -1 into -1 41.957 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 41.958 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 41.958 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 41.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 41.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 41.959 * [taylor]: Taking taylor expansion of 1/3 in N 41.959 * [backup-simplify]: Simplify 1/3 into 1/3 41.959 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 41.959 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 41.959 * [taylor]: Taking taylor expansion of (pow N 2) in N 41.959 * [taylor]: Taking taylor expansion of N in N 41.959 * [backup-simplify]: Simplify 0 into 0 41.959 * [backup-simplify]: Simplify 1 into 1 41.959 * [backup-simplify]: Simplify (* 1 1) into 1 41.960 * [backup-simplify]: Simplify (/ 1 1) into 1 41.961 * [backup-simplify]: Simplify (log 1) into 0 41.961 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.961 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 41.961 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 41.963 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 41.964 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow N -2/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) 41.965 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) into (* (pow (cbrt -1) 2) (pow (/ 1 (pow N 2)) 1/3)) 41.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 41.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 41.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 41.969 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 41.969 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 41.970 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 41.979 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 41.998 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (* 0 (pow N -2/3))) into 0 41.998 * [backup-simplify]: Simplify 0 into 0 41.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 42.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 42.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 42.004 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 42.005 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 42.006 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 42.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 42.009 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 42.010 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (* 0 (pow N -2/3)))) into 0 42.010 * [backup-simplify]: Simplify 0 into 0 42.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 42.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 42.037 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 42.039 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 42.043 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 42.046 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 42.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 42.050 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 42.052 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -2/3))))) into 0 42.052 * [backup-simplify]: Simplify 0 into 0 42.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 42.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 42.065 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 42.066 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 42.068 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 42.071 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 42.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 42.075 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 42.077 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -2/3)))))) into 0 42.077 * [backup-simplify]: Simplify 0 into 0 42.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 42.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 42.274 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 42.296 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 42.299 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 42.312 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 42.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 42.324 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 42.327 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -2/3))))))) into 0 42.327 * [backup-simplify]: Simplify 0 into 0 42.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 42.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 42.382 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 42.383 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 42.385 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 42.391 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 42.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 42.395 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 42.398 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -2/3)))))))) into 0 42.398 * [backup-simplify]: Simplify 0 into 0 42.399 * [backup-simplify]: Simplify (* (pow (cbrt -1) 2) (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) into (* (pow (cbrt -1) 2) (pow (pow N 2) 1/3)) 42.400 * * * [progress]: simplifying candidates 42.401 * [simplify]: Simplifying: (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (cbrt -1) 2) (pow (pow N 2) 1/3)) 42.403 * * [simplify]: iteration 0: 61 enodes 42.449 * * [simplify]: iteration 1: 137 enodes 42.682 * * [simplify]: iteration 2: 372 enodes 43.316 * * [simplify]: iteration 3: 1001 enodes 47.323 * * [simplify]: iteration 4: 3625 enodes 53.775 * * [simplify]: iteration complete: 5002 enodes 53.784 * * [simplify]: Extracting #0: cost 29 inf + 0 53.786 * * [simplify]: Extracting #1: cost 448 inf + 750 53.796 * * [simplify]: Extracting #2: cost 986 inf + 3749 53.813 * * [simplify]: Extracting #3: cost 1011 inf + 24322 53.855 * * [simplify]: Extracting #4: cost 468 inf + 242912 53.956 * * [simplify]: Extracting #5: cost 37 inf + 458878 54.048 * * [simplify]: Extracting #6: cost 0 inf + 483260 54.184 * [simplify]: Simplified to: (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) 2/3 2 (* N N) (* (cbrt N) (cbrt N)) 2 (* 2/3 (log N)) (* 2/3 (log N)) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* N N) (fabs (cbrt N)) (fabs (cbrt N)) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) 1 (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N) (cbrt N) 1 (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (cbrt N) (cbrt N) 2/3 2 (* (cbrt (* (cbrt N) (cbrt N))) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (cbrt N) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (cbrt N) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt -1) (cbrt (- N))) (* (cbrt N) (cbrt N)) (pow (/ 1 N) -2/3) (* (* (cbrt N) (cbrt N)) (* (cbrt -1) (cbrt -1))) 54.196 * * * [progress]: adding candidates to table 54.858 * [progress]: [Phase 3 of 3] Extracting. 54.859 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 54.865 * * * [regime-changes]: Trying 1 branch expressions: (N) 54.865 * * * * [regimes]: Trying to branch on N from (# # # # # # # # #) 54.968 * * * [regime]: Found split indices: #