17.807 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.045 * * [simplify]: iteration 0: 6 enodes 0.046 * * [simplify]: iteration 1: 9 enodes 0.047 * * [simplify]: iteration 2: 10 enodes 0.048 * * [simplify]: iteration complete: 10 enodes 0.048 * * [simplify]: Extracting #0: cost 1 inf + 0 0.048 * * [simplify]: Extracting #1: cost 4 inf + 0 0.048 * * [simplify]: Extracting #2: cost 6 inf + 0 0.048 * * [simplify]: Extracting #3: cost 6 inf + 1 0.048 * * [simplify]: Extracting #4: cost 0 inf + 735 0.048 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.066 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.066 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.066 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.066 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.066 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.066 * [taylor]: Taking taylor expansion of (atan N) in N 0.066 * [backup-simplify]: Simplify (atan N) into (atan N) 0.066 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.066 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.066 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.066 * [taylor]: Taking taylor expansion of (atan N) in N 0.066 * [backup-simplify]: Simplify (atan N) into (atan N) 0.066 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.067 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.067 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.071 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.071 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.071 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.071 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.071 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.071 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.071 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.071 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.071 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.071 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.071 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.071 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.071 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.071 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.071 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.075 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.075 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.075 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.075 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.075 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.075 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.075 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.075 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.075 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.075 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.075 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.075 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.079 * * * [progress]: simplifying candidates 0.079 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.080 * * [simplify]: iteration 0: 36 enodes 0.092 * * [simplify]: iteration 1: 73 enodes 0.118 * * [simplify]: iteration 2: 147 enodes 0.167 * * [simplify]: iteration 3: 281 enodes 0.250 * * [simplify]: iteration 4: 605 enodes 0.543 * * [simplify]: iteration 5: 1546 enodes 1.413 * * [simplify]: iteration complete: 5000 enodes 1.413 * * [simplify]: Extracting #0: cost 16 inf + 0 1.414 * * [simplify]: Extracting #1: cost 247 inf + 1 1.419 * * [simplify]: Extracting #2: cost 1115 inf + 3 1.425 * * [simplify]: Extracting #3: cost 1296 inf + 2135 1.439 * * [simplify]: Extracting #4: cost 1097 inf + 86558 1.510 * * [simplify]: Extracting #5: cost 356 inf + 492666 1.675 * * [simplify]: Extracting #6: cost 18 inf + 746347 1.789 * * [simplify]: Extracting #7: cost 0 inf + 757322 1.946 * * [simplify]: Extracting #8: cost 0 inf + 757060 2.073 * [simplify]: Simplified to: 1.0 (+ (* N (+ 1.0 N)) 1) (exp (- (atan (+ 1.0 N)) (atan N))) (log (- (atan (+ 1.0 N)) (atan N))) (exp (- (atan (+ 1.0 N)) (atan N))) (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N)))) (cbrt (- (atan (+ 1.0 N)) (atan N))) (* (- (atan (+ 1.0 N)) (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N))) (* (* (atan N) (atan N)) (atan N))) (+ (* (atan N) (atan N)) (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N))))) (- (atan N)) (- (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (* (atan N) (atan N))) (+ (atan N) (atan (+ 1.0 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1.0 N)))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) 2.074 * * * [progress]: adding candidates to table 2.147 * * [progress]: iteration 2 / 4 2.147 * * * [progress]: picking best candidate 2.153 * * * * [pick]: Picked # 2.153 * * * [progress]: localizing error 2.171 * * * [progress]: generating rewritten candidates 2.171 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.172 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.208 * * * [progress]: generating series expansions 2.208 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.209 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.209 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 2.209 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.209 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.209 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.209 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.210 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.210 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.211 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 2.211 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.211 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.211 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.211 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.212 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.213 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.213 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.213 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.213 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.213 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.214 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.214 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.215 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.215 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.215 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.215 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.215 * [taylor]: Taking taylor expansion of N in N 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.215 * [taylor]: Taking taylor expansion of N in N 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [taylor]: Taking taylor expansion of 1.0 in N 2.215 * [backup-simplify]: Simplify 1.0 into 1.0 2.215 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.215 * [taylor]: Taking taylor expansion of N in N 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.215 * [taylor]: Taking taylor expansion of N in N 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [taylor]: Taking taylor expansion of 1.0 in N 2.215 * [backup-simplify]: Simplify 1.0 into 1.0 2.216 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.217 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ 1 0) into 1 2.219 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.219 * [backup-simplify]: Simplify 1.0 into 1.0 2.219 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.220 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 2.233 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.234 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.234 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.234 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.234 * [taylor]: Taking taylor expansion of N in N 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (/ 1 1) into 1 2.234 * [taylor]: Taking taylor expansion of 1.0 in N 2.234 * [backup-simplify]: Simplify 1.0 into 1.0 2.234 * [taylor]: Taking taylor expansion of N in N 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.235 * [backup-simplify]: Simplify (+ 1 0) into 1 2.235 * [backup-simplify]: Simplify (/ 1 1) into 1 2.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.235 * [taylor]: Taking taylor expansion of N in N 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (/ 1 1) into 1 2.236 * [taylor]: Taking taylor expansion of 1.0 in N 2.236 * [backup-simplify]: Simplify 1.0 into 1.0 2.236 * [taylor]: Taking taylor expansion of N in N 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (+ 1 0) into 1 2.237 * [backup-simplify]: Simplify (/ 1 1) into 1 2.237 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.240 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.240 * [backup-simplify]: Simplify 1.0 into 1.0 2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ 0 0) into 0 2.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (+ 0 0) into 0 2.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 2.255 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.256 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.256 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.256 * [taylor]: Taking taylor expansion of -1 in N 2.256 * [backup-simplify]: Simplify -1 into -1 2.256 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.256 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.256 * [taylor]: Taking taylor expansion of 1.0 in N 2.256 * [backup-simplify]: Simplify 1.0 into 1.0 2.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.256 * [taylor]: Taking taylor expansion of N in N 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 1 into 1 2.256 * [backup-simplify]: Simplify (/ 1 1) into 1 2.256 * [taylor]: Taking taylor expansion of N in N 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (- 1) into -1 2.257 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.257 * [backup-simplify]: Simplify (/ -1 1) into -1 2.257 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.258 * [taylor]: Taking taylor expansion of -1 in N 2.258 * [backup-simplify]: Simplify -1 into -1 2.258 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.258 * [taylor]: Taking taylor expansion of 1.0 in N 2.258 * [backup-simplify]: Simplify 1.0 into 1.0 2.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.258 * [taylor]: Taking taylor expansion of N in N 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.258 * [backup-simplify]: Simplify (/ 1 1) into 1 2.258 * [taylor]: Taking taylor expansion of N in N 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.259 * [backup-simplify]: Simplify (- 1) into -1 2.259 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.259 * [backup-simplify]: Simplify (/ -1 1) into -1 2.260 * [backup-simplify]: Simplify (* -1 -1) into 1 2.260 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.261 * [backup-simplify]: Simplify (- 0) into 0 2.261 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.264 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.265 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.266 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (- 0) into 0 2.268 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (- 0) into 0 2.271 * [backup-simplify]: Simplify (+ 0 0) into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (- 0) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.283 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (- 0) into 0 2.285 * [backup-simplify]: Simplify (+ 0 0) into 0 2.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (- 0) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 2.294 * * * [progress]: simplifying candidates 2.295 * [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) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) 2.296 * * [simplify]: iteration 0: 55 enodes 2.320 * * [simplify]: iteration 1: 126 enodes 2.395 * * [simplify]: iteration 2: 337 enodes 2.603 * * [simplify]: iteration 3: 1156 enodes 3.505 * * [simplify]: iteration complete: 5001 enodes 3.505 * * [simplify]: Extracting #0: cost 23 inf + 0 3.507 * * [simplify]: Extracting #1: cost 381 inf + 0 3.513 * * [simplify]: Extracting #2: cost 1323 inf + 652 3.531 * * [simplify]: Extracting #3: cost 1631 inf + 36860 3.594 * * [simplify]: Extracting #4: cost 465 inf + 247248 3.683 * * [simplify]: Extracting #5: cost 33 inf + 351026 3.798 * * [simplify]: Extracting #6: cost 2 inf + 356490 3.912 * * [simplify]: Extracting #7: cost 0 inf + 356996 3.997 * [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))))) (* N (+ N 1.0)) (log (* N (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* 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))) (* (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (sqrt N) (+ N 1.0)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 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 1.0))) (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N)))) (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N)))) (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N)))) (+ (* N N) (* 1.0 N)) (+ (* N N) (* 1.0 N)) (+ (* N N) (* 1.0 N)) 3.999 * * * [progress]: adding candidates to table 4.134 * * [progress]: iteration 3 / 4 4.134 * * * [progress]: picking best candidate 4.147 * * * * [pick]: Picked # 4.147 * * * [progress]: localizing error 4.172 * * * [progress]: generating rewritten candidates 4.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.178 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 4.184 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 4.189 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.219 * * * [progress]: generating series expansions 4.219 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.220 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.220 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.220 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.220 * [taylor]: Taking taylor expansion of 1/3 in N 4.220 * [backup-simplify]: Simplify 1/3 into 1/3 4.220 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.220 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.220 * [taylor]: Taking taylor expansion of N in N 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.220 * [taylor]: Taking taylor expansion of N in N 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [taylor]: Taking taylor expansion of 1.0 in N 4.220 * [backup-simplify]: Simplify 1.0 into 1.0 4.221 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.221 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.222 * [backup-simplify]: Simplify (+ 1 0) into 1 4.223 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.224 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.225 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.225 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.226 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.226 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.226 * [taylor]: Taking taylor expansion of 1/3 in N 4.226 * [backup-simplify]: Simplify 1/3 into 1/3 4.226 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.226 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.226 * [taylor]: Taking taylor expansion of N in N 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 1 into 1 4.226 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.226 * [taylor]: Taking taylor expansion of N in N 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 1 into 1 4.226 * [taylor]: Taking taylor expansion of 1.0 in N 4.226 * [backup-simplify]: Simplify 1.0 into 1.0 4.227 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.227 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.228 * [backup-simplify]: Simplify (+ 1 0) into 1 4.229 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.230 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.230 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.231 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.231 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.232 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.233 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.240 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.241 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.244 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.245 * [backup-simplify]: Simplify (+ 0 0) into 0 4.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.257 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.260 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.272 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.277 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.282 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.283 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.283 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.283 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.283 * [taylor]: Taking taylor expansion of 1/3 in N 4.283 * [backup-simplify]: Simplify 1/3 into 1/3 4.283 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.283 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.283 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.283 * [taylor]: Taking taylor expansion of N in N 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (/ 1 1) into 1 4.284 * [taylor]: Taking taylor expansion of 1.0 in N 4.284 * [backup-simplify]: Simplify 1.0 into 1.0 4.284 * [taylor]: Taking taylor expansion of N in N 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (+ 1 0) into 1 4.284 * [backup-simplify]: Simplify (/ 1 1) into 1 4.285 * [backup-simplify]: Simplify (log 1) into 0 4.285 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.285 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.286 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.286 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.286 * [taylor]: Taking taylor expansion of 1/3 in N 4.286 * [backup-simplify]: Simplify 1/3 into 1/3 4.286 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.286 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.286 * [taylor]: Taking taylor expansion of N in N 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify (/ 1 1) into 1 4.286 * [taylor]: Taking taylor expansion of 1.0 in N 4.286 * [backup-simplify]: Simplify 1.0 into 1.0 4.286 * [taylor]: Taking taylor expansion of N in N 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (+ 1 0) into 1 4.287 * [backup-simplify]: Simplify (/ 1 1) into 1 4.288 * [backup-simplify]: Simplify (log 1) into 0 4.288 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.288 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.288 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.289 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.292 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.299 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.299 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.302 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.302 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.316 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.317 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.322 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.323 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.324 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.324 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 4.324 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 4.324 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.324 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.324 * [taylor]: Taking taylor expansion of 1/3 in N 4.324 * [backup-simplify]: Simplify 1/3 into 1/3 4.324 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.324 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.324 * [taylor]: Taking taylor expansion of 1.0 in N 4.324 * [backup-simplify]: Simplify 1.0 into 1.0 4.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.324 * [taylor]: Taking taylor expansion of N in N 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [backup-simplify]: Simplify (/ 1 1) into 1 4.325 * [taylor]: Taking taylor expansion of N in N 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [backup-simplify]: Simplify (- 1) into -1 4.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.326 * [backup-simplify]: Simplify (/ -1 1) into -1 4.327 * [backup-simplify]: Simplify (log -1) into (log -1) 4.328 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.328 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.329 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.329 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.329 * [taylor]: Taking taylor expansion of -1 in N 4.329 * [backup-simplify]: Simplify -1 into -1 4.330 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.330 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.330 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.330 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.330 * [taylor]: Taking taylor expansion of 1/3 in N 4.331 * [backup-simplify]: Simplify 1/3 into 1/3 4.331 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.331 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.331 * [taylor]: Taking taylor expansion of 1.0 in N 4.331 * [backup-simplify]: Simplify 1.0 into 1.0 4.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.331 * [taylor]: Taking taylor expansion of N in N 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.331 * [backup-simplify]: Simplify (/ 1 1) into 1 4.331 * [taylor]: Taking taylor expansion of N in N 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (- 1) into -1 4.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.332 * [backup-simplify]: Simplify (/ -1 1) into -1 4.333 * [backup-simplify]: Simplify (log -1) into (log -1) 4.334 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.334 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.335 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.335 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.335 * [taylor]: Taking taylor expansion of -1 in N 4.335 * [backup-simplify]: Simplify -1 into -1 4.335 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.336 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.337 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.338 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.339 * [backup-simplify]: Simplify (- 0) into 0 4.340 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.346 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.354 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.355 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.360 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.361 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (- 0) into 0 4.365 * [backup-simplify]: Simplify (+ 0 0) into 0 4.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.379 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.380 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.387 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.389 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.390 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.394 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.395 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 4.395 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.395 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.395 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.395 * [taylor]: Taking taylor expansion of 1/3 in N 4.395 * [backup-simplify]: Simplify 1/3 into 1/3 4.395 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.395 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.395 * [taylor]: Taking taylor expansion of N in N 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.395 * [taylor]: Taking taylor expansion of N in N 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [taylor]: Taking taylor expansion of 1.0 in N 4.395 * [backup-simplify]: Simplify 1.0 into 1.0 4.396 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.396 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.397 * [backup-simplify]: Simplify (+ 1 0) into 1 4.398 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.399 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.400 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.400 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.400 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.401 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.401 * [taylor]: Taking taylor expansion of 1/3 in N 4.401 * [backup-simplify]: Simplify 1/3 into 1/3 4.401 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.401 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.401 * [taylor]: Taking taylor expansion of N in N 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.401 * [taylor]: Taking taylor expansion of N in N 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [taylor]: Taking taylor expansion of 1.0 in N 4.401 * [backup-simplify]: Simplify 1.0 into 1.0 4.401 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.402 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.402 * [backup-simplify]: Simplify (+ 1 0) into 1 4.404 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.404 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.405 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.405 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.406 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.407 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.407 * [backup-simplify]: Simplify (+ 0 0) into 0 4.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.414 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.415 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.418 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.418 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.431 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.434 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.445 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.448 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.453 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.454 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.454 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.454 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.454 * [taylor]: Taking taylor expansion of 1/3 in N 4.454 * [backup-simplify]: Simplify 1/3 into 1/3 4.454 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.454 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.454 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.454 * [taylor]: Taking taylor expansion of N in N 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.455 * [backup-simplify]: Simplify (/ 1 1) into 1 4.455 * [taylor]: Taking taylor expansion of 1.0 in N 4.455 * [backup-simplify]: Simplify 1.0 into 1.0 4.455 * [taylor]: Taking taylor expansion of N in N 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify 1 into 1 4.455 * [backup-simplify]: Simplify (+ 1 0) into 1 4.456 * [backup-simplify]: Simplify (/ 1 1) into 1 4.456 * [backup-simplify]: Simplify (log 1) into 0 4.456 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.457 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.457 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.457 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.457 * [taylor]: Taking taylor expansion of 1/3 in N 4.457 * [backup-simplify]: Simplify 1/3 into 1/3 4.457 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.457 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.457 * [taylor]: Taking taylor expansion of N in N 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (/ 1 1) into 1 4.457 * [taylor]: Taking taylor expansion of 1.0 in N 4.457 * [backup-simplify]: Simplify 1.0 into 1.0 4.458 * [taylor]: Taking taylor expansion of N in N 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.458 * [backup-simplify]: Simplify (+ 1 0) into 1 4.458 * [backup-simplify]: Simplify (/ 1 1) into 1 4.459 * [backup-simplify]: Simplify (log 1) into 0 4.459 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.459 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.460 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.460 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.463 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.470 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.470 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.471 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.473 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.473 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.475 * [backup-simplify]: Simplify (+ 0 0) into 0 4.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.490 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.491 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.496 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.497 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.498 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.498 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 4.498 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 4.498 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.498 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.498 * [taylor]: Taking taylor expansion of 1/3 in N 4.498 * [backup-simplify]: Simplify 1/3 into 1/3 4.498 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.498 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.498 * [taylor]: Taking taylor expansion of 1.0 in N 4.498 * [backup-simplify]: Simplify 1.0 into 1.0 4.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.499 * [taylor]: Taking taylor expansion of N in N 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify (/ 1 1) into 1 4.499 * [taylor]: Taking taylor expansion of N in N 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify (- 1) into -1 4.500 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.500 * [backup-simplify]: Simplify (/ -1 1) into -1 4.501 * [backup-simplify]: Simplify (log -1) into (log -1) 4.502 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.502 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.503 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.503 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.503 * [taylor]: Taking taylor expansion of -1 in N 4.503 * [backup-simplify]: Simplify -1 into -1 4.503 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.504 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.504 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.504 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.504 * [taylor]: Taking taylor expansion of 1/3 in N 4.504 * [backup-simplify]: Simplify 1/3 into 1/3 4.504 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.504 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.504 * [taylor]: Taking taylor expansion of 1.0 in N 4.504 * [backup-simplify]: Simplify 1.0 into 1.0 4.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.504 * [taylor]: Taking taylor expansion of N in N 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.505 * [backup-simplify]: Simplify (/ 1 1) into 1 4.505 * [taylor]: Taking taylor expansion of N in N 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify 1 into 1 4.505 * [backup-simplify]: Simplify (- 1) into -1 4.506 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.506 * [backup-simplify]: Simplify (/ -1 1) into -1 4.506 * [backup-simplify]: Simplify (log -1) into (log -1) 4.507 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.507 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.508 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.508 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.508 * [taylor]: Taking taylor expansion of -1 in N 4.508 * [backup-simplify]: Simplify -1 into -1 4.508 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.508 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.510 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.510 * [backup-simplify]: Simplify (- 0) into 0 4.511 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.512 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.516 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.516 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.519 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.520 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.520 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.522 * [backup-simplify]: Simplify (- 0) into 0 4.522 * [backup-simplify]: Simplify (+ 0 0) into 0 4.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.529 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.530 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.531 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.535 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.536 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.537 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.540 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.540 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 4.540 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.540 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.540 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.540 * [taylor]: Taking taylor expansion of 1/3 in N 4.540 * [backup-simplify]: Simplify 1/3 into 1/3 4.540 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.540 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.540 * [taylor]: Taking taylor expansion of N in N 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.540 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.540 * [taylor]: Taking taylor expansion of N in N 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.540 * [taylor]: Taking taylor expansion of 1.0 in N 4.540 * [backup-simplify]: Simplify 1.0 into 1.0 4.541 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.541 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.542 * [backup-simplify]: Simplify (+ 1 0) into 1 4.543 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.544 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.545 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.545 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.546 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.546 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.546 * [taylor]: Taking taylor expansion of 1/3 in N 4.546 * [backup-simplify]: Simplify 1/3 into 1/3 4.546 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.546 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.546 * [taylor]: Taking taylor expansion of N in N 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 1 into 1 4.546 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.546 * [taylor]: Taking taylor expansion of N in N 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 1 into 1 4.546 * [taylor]: Taking taylor expansion of 1.0 in N 4.546 * [backup-simplify]: Simplify 1.0 into 1.0 4.547 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.547 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.547 * [backup-simplify]: Simplify (+ 1 0) into 1 4.549 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.549 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.550 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.551 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.551 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.552 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.552 * [backup-simplify]: Simplify (+ 0 0) into 0 4.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.557 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.558 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.559 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.560 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.560 * [backup-simplify]: Simplify (+ 0 0) into 0 4.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.566 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.567 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.569 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.576 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.582 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.582 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.582 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.582 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.582 * [taylor]: Taking taylor expansion of 1/3 in N 4.582 * [backup-simplify]: Simplify 1/3 into 1/3 4.582 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.582 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.583 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.583 * [taylor]: Taking taylor expansion of N in N 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [backup-simplify]: Simplify (/ 1 1) into 1 4.583 * [taylor]: Taking taylor expansion of 1.0 in N 4.583 * [backup-simplify]: Simplify 1.0 into 1.0 4.583 * [taylor]: Taking taylor expansion of N in N 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [backup-simplify]: Simplify (+ 1 0) into 1 4.583 * [backup-simplify]: Simplify (/ 1 1) into 1 4.584 * [backup-simplify]: Simplify (log 1) into 0 4.584 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.584 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.584 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.584 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.584 * [taylor]: Taking taylor expansion of 1/3 in N 4.584 * [backup-simplify]: Simplify 1/3 into 1/3 4.584 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.584 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.584 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.584 * [taylor]: Taking taylor expansion of N in N 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify (/ 1 1) into 1 4.585 * [taylor]: Taking taylor expansion of 1.0 in N 4.585 * [backup-simplify]: Simplify 1.0 into 1.0 4.585 * [taylor]: Taking taylor expansion of N in N 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify (+ 1 0) into 1 4.585 * [backup-simplify]: Simplify (/ 1 1) into 1 4.585 * [backup-simplify]: Simplify (log 1) into 0 4.586 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.586 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.586 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.586 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.587 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.591 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.598 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.598 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.600 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.600 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.608 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.608 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.611 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.612 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.612 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.612 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 4.612 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 4.612 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.613 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.613 * [taylor]: Taking taylor expansion of 1/3 in N 4.613 * [backup-simplify]: Simplify 1/3 into 1/3 4.613 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.613 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.613 * [taylor]: Taking taylor expansion of 1.0 in N 4.613 * [backup-simplify]: Simplify 1.0 into 1.0 4.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.613 * [taylor]: Taking taylor expansion of N in N 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 1 into 1 4.613 * [backup-simplify]: Simplify (/ 1 1) into 1 4.613 * [taylor]: Taking taylor expansion of N in N 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 1 into 1 4.613 * [backup-simplify]: Simplify (- 1) into -1 4.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.614 * [backup-simplify]: Simplify (/ -1 1) into -1 4.614 * [backup-simplify]: Simplify (log -1) into (log -1) 4.615 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.615 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.615 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.615 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.615 * [taylor]: Taking taylor expansion of -1 in N 4.615 * [backup-simplify]: Simplify -1 into -1 4.616 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.616 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.616 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.616 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.616 * [taylor]: Taking taylor expansion of 1/3 in N 4.616 * [backup-simplify]: Simplify 1/3 into 1/3 4.616 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.616 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.616 * [taylor]: Taking taylor expansion of 1.0 in N 4.616 * [backup-simplify]: Simplify 1.0 into 1.0 4.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.616 * [taylor]: Taking taylor expansion of N in N 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 1 into 1 4.616 * [backup-simplify]: Simplify (/ 1 1) into 1 4.617 * [taylor]: Taking taylor expansion of N in N 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 1 into 1 4.617 * [backup-simplify]: Simplify (- 1) into -1 4.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.617 * [backup-simplify]: Simplify (/ -1 1) into -1 4.618 * [backup-simplify]: Simplify (log -1) into (log -1) 4.618 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.618 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.619 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.619 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.619 * [taylor]: Taking taylor expansion of -1 in N 4.619 * [backup-simplify]: Simplify -1 into -1 4.619 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.620 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.620 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.621 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (- 0) into 0 4.622 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.623 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.627 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.628 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.630 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.631 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.632 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.633 * [backup-simplify]: Simplify (- 0) into 0 4.634 * [backup-simplify]: Simplify (+ 0 0) into 0 4.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.646 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.647 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.648 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.655 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.657 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.659 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.663 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.663 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.663 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) 4.663 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 4.663 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.664 * [taylor]: Taking taylor expansion of 1/3 in N 4.664 * [backup-simplify]: Simplify 1/3 into 1/3 4.664 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.664 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.664 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.664 * [taylor]: Taking taylor expansion of N in N 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.664 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.664 * [taylor]: Taking taylor expansion of N in N 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [taylor]: Taking taylor expansion of 1.0 in N 4.664 * [backup-simplify]: Simplify 1.0 into 1.0 4.664 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.665 * [backup-simplify]: Simplify (* 1 1) into 1 4.665 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.666 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.666 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.667 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.667 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.668 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.668 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.668 * [taylor]: Taking taylor expansion of 1/3 in N 4.668 * [backup-simplify]: Simplify 1/3 into 1/3 4.668 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.668 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.668 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.668 * [taylor]: Taking taylor expansion of N in N 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.668 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.668 * [taylor]: Taking taylor expansion of N in N 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [taylor]: Taking taylor expansion of 1.0 in N 4.669 * [backup-simplify]: Simplify 1.0 into 1.0 4.669 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.669 * [backup-simplify]: Simplify (* 1 1) into 1 4.670 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.670 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.671 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.671 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.672 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.673 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.673 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.674 * [backup-simplify]: Simplify (+ 1 0) into 1 4.675 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 4.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.677 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 4.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 4.682 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.683 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 4.685 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 4.685 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.686 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.687 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 4.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 4.697 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.701 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 4.707 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 4.711 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 4.716 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) N)) (* 0.5555555555555556 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2))))) (* 0.6666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2)) (pow 1.0 2)))) 4.716 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) 4.716 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 4.716 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.717 * [taylor]: Taking taylor expansion of 1/3 in N 4.717 * [backup-simplify]: Simplify 1/3 into 1/3 4.717 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.717 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.717 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.717 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.717 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.717 * [taylor]: Taking taylor expansion of N in N 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (/ 1 1) into 1 4.717 * [taylor]: Taking taylor expansion of 1.0 in N 4.717 * [backup-simplify]: Simplify 1.0 into 1.0 4.718 * [backup-simplify]: Simplify (+ 1 0) into 1 4.718 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.718 * [taylor]: Taking taylor expansion of N in N 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 1 into 1 4.718 * [backup-simplify]: Simplify (* 1 1) into 1 4.719 * [backup-simplify]: Simplify (* 1 1) into 1 4.719 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [backup-simplify]: Simplify (log 1) into 0 4.720 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.720 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.720 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.720 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.720 * [taylor]: Taking taylor expansion of 1/3 in N 4.720 * [backup-simplify]: Simplify 1/3 into 1/3 4.720 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.720 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.720 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.720 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.720 * [taylor]: Taking taylor expansion of N in N 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (/ 1 1) into 1 4.721 * [taylor]: Taking taylor expansion of 1.0 in N 4.721 * [backup-simplify]: Simplify 1.0 into 1.0 4.721 * [backup-simplify]: Simplify (+ 1 0) into 1 4.721 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.721 * [taylor]: Taking taylor expansion of N in N 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (* 1 1) into 1 4.722 * [backup-simplify]: Simplify (* 1 1) into 1 4.723 * [backup-simplify]: Simplify (/ 1 1) into 1 4.723 * [backup-simplify]: Simplify (log 1) into 0 4.723 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.724 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.724 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.724 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.725 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.727 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 4.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.730 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 4.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 4.737 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.738 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 4.741 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.741 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.742 * [backup-simplify]: Simplify (+ 0 0) into 0 4.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 4.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.749 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 4.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 4.763 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.764 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 4.770 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 4.770 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 4.771 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) 4.772 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.772 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 4.772 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.772 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 4.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 4.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 4.772 * [taylor]: Taking taylor expansion of 1/3 in N 4.772 * [backup-simplify]: Simplify 1/3 into 1/3 4.772 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 4.772 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 4.772 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 4.772 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.772 * [taylor]: Taking taylor expansion of 1.0 in N 4.772 * [backup-simplify]: Simplify 1.0 into 1.0 4.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.772 * [taylor]: Taking taylor expansion of N in N 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (/ 1 1) into 1 4.773 * [backup-simplify]: Simplify (- 1) into -1 4.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.774 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.774 * [taylor]: Taking taylor expansion of N in N 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (* -1 -1) into 1 4.774 * [backup-simplify]: Simplify (* 1 1) into 1 4.775 * [backup-simplify]: Simplify (/ 1 1) into 1 4.775 * [backup-simplify]: Simplify (log 1) into 0 4.776 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.776 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.776 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.776 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.776 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.776 * [taylor]: Taking taylor expansion of -1 in N 4.776 * [backup-simplify]: Simplify -1 into -1 4.777 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.777 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.777 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.777 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 4.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 4.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 4.777 * [taylor]: Taking taylor expansion of 1/3 in N 4.777 * [backup-simplify]: Simplify 1/3 into 1/3 4.778 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 4.778 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 4.778 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 4.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.778 * [taylor]: Taking taylor expansion of 1.0 in N 4.778 * [backup-simplify]: Simplify 1.0 into 1.0 4.778 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.778 * [taylor]: Taking taylor expansion of N in N 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [backup-simplify]: Simplify (/ 1 1) into 1 4.779 * [backup-simplify]: Simplify (- 1) into -1 4.779 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.779 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.779 * [taylor]: Taking taylor expansion of N in N 4.779 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify 1 into 1 4.779 * [backup-simplify]: Simplify (* -1 -1) into 1 4.780 * [backup-simplify]: Simplify (* 1 1) into 1 4.780 * [backup-simplify]: Simplify (/ 1 1) into 1 4.781 * [backup-simplify]: Simplify (log 1) into 0 4.781 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.781 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.781 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.781 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.781 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.781 * [taylor]: Taking taylor expansion of -1 in N 4.781 * [backup-simplify]: Simplify -1 into -1 4.782 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.783 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.784 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 4.785 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) 4.787 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) 4.787 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 4.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (- 0) into 0 4.789 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.791 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 4.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.794 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 4.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 4.802 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.803 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 4.806 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.808 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (* (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2))) into (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 4.810 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 4.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.812 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.814 * [backup-simplify]: Simplify (- 0) into 0 4.814 * [backup-simplify]: Simplify (+ 0 0) into 0 4.817 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 4.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.820 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 4.830 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 4.830 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.831 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 4.835 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 4.836 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (+ (* (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 0) (* (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2)))) into (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 4.837 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 4.840 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (/ 1 (- N))) (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) into (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 0.6666666666666666 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 0.1111111111111111 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)))) 4.841 * * * [progress]: simplifying candidates 4.842 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) N)) (* 0.5555555555555556 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2))))) (* 0.6666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 0.6666666666666666 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 0.1111111111111111 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)))) 4.844 * * [simplify]: iteration 0: 152 enodes 4.914 * * [simplify]: iteration 1: 378 enodes 5.059 * * [simplify]: iteration 2: 991 enodes 5.575 * * [simplify]: iteration 3: 2865 enodes 6.353 * * [simplify]: iteration complete: 5001 enodes 6.353 * * [simplify]: Extracting #0: cost 44 inf + 0 6.354 * * [simplify]: Extracting #1: cost 294 inf + 3 6.356 * * [simplify]: Extracting #2: cost 863 inf + 1629 6.362 * * [simplify]: Extracting #3: cost 1431 inf + 8952 6.374 * * [simplify]: Extracting #4: cost 1226 inf + 74156 6.423 * * [simplify]: Extracting #5: cost 718 inf + 237510 6.504 * * [simplify]: Extracting #6: cost 241 inf + 415132 6.600 * * [simplify]: Extracting #7: cost 121 inf + 455216 6.703 * * [simplify]: Extracting #8: cost 45 inf + 498877 6.846 * * [simplify]: Extracting #9: cost 2 inf + 522222 6.941 * * [simplify]: Extracting #10: cost 0 inf + 519331 7.017 * * [simplify]: Extracting #11: cost 0 inf + 518541 7.127 * [simplify]: Simplified to: (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) 2/3 2 (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) 2 (log (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (log (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (exp (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (fabs (cbrt (* N (+ 1.0 N)))) (fabs (cbrt (* N (+ 1.0 N)))) (* (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N))))) (* (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (+ (* (- 1.0 N) 1.0) (* N N)))) (* (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* (- 1.0 N) 1.0) (* N N)))) (* (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* (- 1.0 N) 1.0) (* N N)))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)) (* (cbrt (* N (+ 1.0 N))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))) 1 (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))) 2/3 2 (* (cbrt (* N (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (cbrt (* N (+ 1.0 N)))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))) (* (cbrt N) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (+ (* N N) (* N 1.0))) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ (* N N) (* N 1.0)))) (* (cbrt (+ (* N N) (* N 1.0))) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ (* N N) (* N 1.0)))) (- (* (* (cbrt N) (cbrt 1.0)) (+ (* N 0.3333333333333333) (* 0.05555555555555555 (* N N)))) (- (* 1/6 (* (/ (cbrt N) (/ 1.0 N)) (/ (cbrt 1.0) (/ 1.0 N)))) (* (cbrt N) (cbrt 1.0)))) (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (- (* (cbrt -1) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))) (* (* 0.1111111111111111 (/ (cbrt -1) (* N N))) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N)))))))) (/ 0.3333333333333333 (/ (/ N (cbrt -1)) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))))) (- (* (* (cbrt N) (cbrt 1.0)) (+ (* N 0.3333333333333333) (* 0.05555555555555555 (* N N)))) (- (* 1/6 (* (/ (cbrt N) (/ 1.0 N)) (/ (cbrt 1.0) (/ 1.0 N)))) (* (cbrt N) (cbrt 1.0)))) (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (- (* (cbrt -1) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))) (* (* 0.1111111111111111 (/ (cbrt -1) (* N N))) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N)))))))) (/ 0.3333333333333333 (/ (/ N (cbrt -1)) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))))) (- (* (* (cbrt N) (cbrt 1.0)) (+ (* N 0.3333333333333333) (* 0.05555555555555555 (* N N)))) (- (* 1/6 (* (/ (cbrt N) (/ 1.0 N)) (/ (cbrt 1.0) (/ 1.0 N)))) (* (cbrt N) (cbrt 1.0)))) (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (- (* (cbrt -1) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))) (* (* 0.1111111111111111 (/ (cbrt -1) (* N N))) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N)))))))) (/ 0.3333333333333333 (/ (/ N (cbrt -1)) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))))) (- (* (cbrt (* (* N N) 1.0)) (+ (* 0.6666666666666666 N) (* 0.5555555555555556 (* N N)))) (- (/ (* (cbrt (* (* N N) 1.0)) 0.6666666666666666) (* (/ 1.0 N) (/ 1.0 N))) (cbrt (* (* N N) 1.0)))) (- (+ (pow (/ 1 N) -4/3) (* (cbrt N) 0.6666666666666666)) (* 0.1111111111111111 (cbrt (/ 1 (* N N))))) (* (* (cbrt -1) (cbrt -1)) (+ (cbrt (* (* N N) (* N N))) (- (* (cbrt N) 0.6666666666666666) (* 0.1111111111111111 (cbrt (/ 1 (* N N))))))) 7.136 * * * [progress]: adding candidates to table 7.620 * * [progress]: iteration 4 / 4 7.620 * * * [progress]: picking best candidate 7.634 * * * * [pick]: Picked # 7.634 * * * [progress]: localizing error 7.690 * * * [progress]: generating rewritten candidates 7.690 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 7.733 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2) 7.739 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2) 7.745 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1) 7.755 * * * [progress]: generating series expansions 7.755 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 7.755 * [backup-simplify]: Simplify (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))) into (pow (* N (+ N 1.0)) 1/3) 7.755 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.755 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.755 * [taylor]: Taking taylor expansion of 1/3 in N 7.756 * [backup-simplify]: Simplify 1/3 into 1/3 7.756 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.756 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.756 * [taylor]: Taking taylor expansion of N in N 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.756 * [taylor]: Taking taylor expansion of N in N 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [taylor]: Taking taylor expansion of 1.0 in N 7.756 * [backup-simplify]: Simplify 1.0 into 1.0 7.756 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.757 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.757 * [backup-simplify]: Simplify (+ 1 0) into 1 7.758 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.758 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.758 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.759 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.759 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.759 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.759 * [taylor]: Taking taylor expansion of 1/3 in N 7.759 * [backup-simplify]: Simplify 1/3 into 1/3 7.759 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.759 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.759 * [taylor]: Taking taylor expansion of N in N 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.759 * [taylor]: Taking taylor expansion of N in N 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [taylor]: Taking taylor expansion of 1.0 in N 7.759 * [backup-simplify]: Simplify 1.0 into 1.0 7.760 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.760 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.760 * [backup-simplify]: Simplify (+ 1 0) into 1 7.761 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.761 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.762 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.762 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.762 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.763 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.763 * [backup-simplify]: Simplify (+ 0 0) into 0 7.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.770 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.771 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.774 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.775 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.775 * [backup-simplify]: Simplify (+ 0 0) into 0 7.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.787 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.790 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.796 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.798 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.801 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 7.802 * [backup-simplify]: Simplify (cbrt (* (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.802 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.802 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.802 * [taylor]: Taking taylor expansion of 1/3 in N 7.802 * [backup-simplify]: Simplify 1/3 into 1/3 7.802 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.802 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.802 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.802 * [taylor]: Taking taylor expansion of N in N 7.802 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify 1 into 1 7.802 * [backup-simplify]: Simplify (/ 1 1) into 1 7.802 * [taylor]: Taking taylor expansion of 1.0 in N 7.802 * [backup-simplify]: Simplify 1.0 into 1.0 7.802 * [taylor]: Taking taylor expansion of N in N 7.802 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify 1 into 1 7.805 * [backup-simplify]: Simplify (+ 1 0) into 1 7.805 * [backup-simplify]: Simplify (/ 1 1) into 1 7.806 * [backup-simplify]: Simplify (log 1) into 0 7.806 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.806 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.806 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.806 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.807 * [taylor]: Taking taylor expansion of 1/3 in N 7.807 * [backup-simplify]: Simplify 1/3 into 1/3 7.807 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.807 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.807 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.807 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.807 * [taylor]: Taking taylor expansion of N in N 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.807 * [backup-simplify]: Simplify (/ 1 1) into 1 7.807 * [taylor]: Taking taylor expansion of 1.0 in N 7.807 * [backup-simplify]: Simplify 1.0 into 1.0 7.807 * [taylor]: Taking taylor expansion of N in N 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.808 * [backup-simplify]: Simplify (+ 1 0) into 1 7.808 * [backup-simplify]: Simplify (/ 1 1) into 1 7.809 * [backup-simplify]: Simplify (log 1) into 0 7.809 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.809 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.809 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.809 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.811 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.813 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.819 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.820 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.822 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.823 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.824 * [backup-simplify]: Simplify (+ 0 0) into 0 7.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.834 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.835 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.838 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.838 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.839 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 7.839 * [backup-simplify]: Simplify (cbrt (* (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 7.839 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 7.839 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.839 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.839 * [taylor]: Taking taylor expansion of 1/3 in N 7.839 * [backup-simplify]: Simplify 1/3 into 1/3 7.839 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.840 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.840 * [taylor]: Taking taylor expansion of 1.0 in N 7.840 * [backup-simplify]: Simplify 1.0 into 1.0 7.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.840 * [taylor]: Taking taylor expansion of N in N 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [taylor]: Taking taylor expansion of N in N 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (- 1) into -1 7.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.841 * [backup-simplify]: Simplify (/ -1 1) into -1 7.841 * [backup-simplify]: Simplify (log -1) into (log -1) 7.841 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.842 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.842 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.842 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.842 * [taylor]: Taking taylor expansion of -1 in N 7.842 * [backup-simplify]: Simplify -1 into -1 7.842 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.843 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.843 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.843 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.843 * [taylor]: Taking taylor expansion of 1/3 in N 7.843 * [backup-simplify]: Simplify 1/3 into 1/3 7.843 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.843 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.843 * [taylor]: Taking taylor expansion of 1.0 in N 7.843 * [backup-simplify]: Simplify 1.0 into 1.0 7.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.843 * [taylor]: Taking taylor expansion of N in N 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 1 into 1 7.843 * [backup-simplify]: Simplify (/ 1 1) into 1 7.843 * [taylor]: Taking taylor expansion of N in N 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 1 into 1 7.844 * [backup-simplify]: Simplify (- 1) into -1 7.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.844 * [backup-simplify]: Simplify (/ -1 1) into -1 7.844 * [backup-simplify]: Simplify (log -1) into (log -1) 7.845 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.845 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.846 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.846 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.846 * [taylor]: Taking taylor expansion of -1 in N 7.846 * [backup-simplify]: Simplify -1 into -1 7.846 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.846 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.847 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.848 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.848 * [backup-simplify]: Simplify (- 0) into 0 7.849 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.850 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.854 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.855 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.857 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.858 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.858 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.860 * [backup-simplify]: Simplify (- 0) into 0 7.860 * [backup-simplify]: Simplify (+ 0 0) into 0 7.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.867 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.867 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.868 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.872 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.873 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.874 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.876 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 7.877 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2) 7.877 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 7.877 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.877 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.877 * [taylor]: Taking taylor expansion of 1/3 in N 7.877 * [backup-simplify]: Simplify 1/3 into 1/3 7.877 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.877 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.877 * [taylor]: Taking taylor expansion of N in N 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 1 into 1 7.877 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.877 * [taylor]: Taking taylor expansion of N in N 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 1 into 1 7.877 * [taylor]: Taking taylor expansion of 1.0 in N 7.877 * [backup-simplify]: Simplify 1.0 into 1.0 7.877 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.877 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.878 * [backup-simplify]: Simplify (+ 1 0) into 1 7.879 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.879 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.879 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.880 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.880 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.880 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.880 * [taylor]: Taking taylor expansion of 1/3 in N 7.880 * [backup-simplify]: Simplify 1/3 into 1/3 7.880 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.880 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.880 * [taylor]: Taking taylor expansion of N in N 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.880 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.880 * [taylor]: Taking taylor expansion of N in N 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.880 * [taylor]: Taking taylor expansion of 1.0 in N 7.880 * [backup-simplify]: Simplify 1.0 into 1.0 7.881 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.881 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.881 * [backup-simplify]: Simplify (+ 1 0) into 1 7.882 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.882 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.883 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.883 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.883 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.884 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.884 * [backup-simplify]: Simplify (+ 0 0) into 0 7.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.888 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.889 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.890 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.891 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.899 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.899 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.901 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.911 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.913 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.916 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 7.916 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.916 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.916 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.916 * [taylor]: Taking taylor expansion of 1/3 in N 7.916 * [backup-simplify]: Simplify 1/3 into 1/3 7.916 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.916 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.916 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.916 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.916 * [taylor]: Taking taylor expansion of N in N 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify 1 into 1 7.916 * [backup-simplify]: Simplify (/ 1 1) into 1 7.916 * [taylor]: Taking taylor expansion of 1.0 in N 7.916 * [backup-simplify]: Simplify 1.0 into 1.0 7.916 * [taylor]: Taking taylor expansion of N in N 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify 1 into 1 7.917 * [backup-simplify]: Simplify (+ 1 0) into 1 7.917 * [backup-simplify]: Simplify (/ 1 1) into 1 7.917 * [backup-simplify]: Simplify (log 1) into 0 7.917 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.917 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.918 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.918 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.918 * [taylor]: Taking taylor expansion of 1/3 in N 7.918 * [backup-simplify]: Simplify 1/3 into 1/3 7.918 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.918 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.918 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.918 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.918 * [taylor]: Taking taylor expansion of N in N 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (/ 1 1) into 1 7.918 * [taylor]: Taking taylor expansion of 1.0 in N 7.918 * [backup-simplify]: Simplify 1.0 into 1.0 7.918 * [taylor]: Taking taylor expansion of N in N 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (+ 1 0) into 1 7.919 * [backup-simplify]: Simplify (/ 1 1) into 1 7.919 * [backup-simplify]: Simplify (log 1) into 0 7.919 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.919 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.919 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.919 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.920 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.921 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.925 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.926 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.927 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.927 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (+ 0 0) into 0 7.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.935 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.935 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.936 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.940 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.940 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.941 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 7.942 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 7.942 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 7.942 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.942 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.942 * [taylor]: Taking taylor expansion of 1/3 in N 7.942 * [backup-simplify]: Simplify 1/3 into 1/3 7.942 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.942 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.942 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.942 * [taylor]: Taking taylor expansion of 1.0 in N 7.942 * [backup-simplify]: Simplify 1.0 into 1.0 7.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.942 * [taylor]: Taking taylor expansion of N in N 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (/ 1 1) into 1 7.943 * [taylor]: Taking taylor expansion of N in N 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 1 into 1 7.943 * [backup-simplify]: Simplify (- 1) into -1 7.943 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.944 * [backup-simplify]: Simplify (/ -1 1) into -1 7.944 * [backup-simplify]: Simplify (log -1) into (log -1) 7.945 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.945 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.946 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.946 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.946 * [taylor]: Taking taylor expansion of -1 in N 7.946 * [backup-simplify]: Simplify -1 into -1 7.946 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.947 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.947 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.947 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.947 * [taylor]: Taking taylor expansion of 1/3 in N 7.947 * [backup-simplify]: Simplify 1/3 into 1/3 7.947 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.947 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.947 * [taylor]: Taking taylor expansion of 1.0 in N 7.947 * [backup-simplify]: Simplify 1.0 into 1.0 7.947 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.947 * [taylor]: Taking taylor expansion of N in N 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 1 into 1 7.948 * [backup-simplify]: Simplify (/ 1 1) into 1 7.948 * [taylor]: Taking taylor expansion of N in N 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify 1 into 1 7.948 * [backup-simplify]: Simplify (- 1) into -1 7.948 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.949 * [backup-simplify]: Simplify (/ -1 1) into -1 7.949 * [backup-simplify]: Simplify (log -1) into (log -1) 7.950 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.950 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.951 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.951 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.951 * [taylor]: Taking taylor expansion of -1 in N 7.951 * [backup-simplify]: Simplify -1 into -1 7.951 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.952 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.953 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.954 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.956 * [backup-simplify]: Simplify (- 0) into 0 7.956 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.959 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.967 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.968 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.971 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.972 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.973 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.974 * [backup-simplify]: Simplify (- 0) into 0 7.975 * [backup-simplify]: Simplify (+ 0 0) into 0 7.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.981 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.982 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.983 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.987 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.989 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.989 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.992 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 7.992 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2) 7.992 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 7.992 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.992 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.992 * [taylor]: Taking taylor expansion of 1/3 in N 7.992 * [backup-simplify]: Simplify 1/3 into 1/3 7.992 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.992 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.992 * [taylor]: Taking taylor expansion of N in N 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.992 * [taylor]: Taking taylor expansion of N in N 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [taylor]: Taking taylor expansion of 1.0 in N 7.992 * [backup-simplify]: Simplify 1.0 into 1.0 7.993 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.993 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.993 * [backup-simplify]: Simplify (+ 1 0) into 1 7.994 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.994 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.995 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.995 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.995 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.995 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.995 * [taylor]: Taking taylor expansion of 1/3 in N 7.995 * [backup-simplify]: Simplify 1/3 into 1/3 7.995 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.995 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.996 * [taylor]: Taking taylor expansion of N in N 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.996 * [taylor]: Taking taylor expansion of N in N 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [taylor]: Taking taylor expansion of 1.0 in N 7.996 * [backup-simplify]: Simplify 1.0 into 1.0 7.996 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.996 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.996 * [backup-simplify]: Simplify (+ 1 0) into 1 7.997 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.998 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.998 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.998 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.000 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.001 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.001 * [backup-simplify]: Simplify (+ 0 0) into 0 8.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 8.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.005 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.005 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 8.007 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.008 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.008 * [backup-simplify]: Simplify (+ 0 0) into 0 8.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 8.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 8.018 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.019 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 8.025 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 8.027 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 8.030 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 8.030 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 8.030 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 8.030 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 8.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 8.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 8.030 * [taylor]: Taking taylor expansion of 1/3 in N 8.030 * [backup-simplify]: Simplify 1/3 into 1/3 8.030 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 8.030 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.030 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.030 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.030 * [taylor]: Taking taylor expansion of N in N 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 1 into 1 8.031 * [backup-simplify]: Simplify (/ 1 1) into 1 8.031 * [taylor]: Taking taylor expansion of 1.0 in N 8.031 * [backup-simplify]: Simplify 1.0 into 1.0 8.031 * [taylor]: Taking taylor expansion of N in N 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 1 into 1 8.031 * [backup-simplify]: Simplify (+ 1 0) into 1 8.031 * [backup-simplify]: Simplify (/ 1 1) into 1 8.031 * [backup-simplify]: Simplify (log 1) into 0 8.032 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.032 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.032 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.032 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 8.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 8.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 8.032 * [taylor]: Taking taylor expansion of 1/3 in N 8.032 * [backup-simplify]: Simplify 1/3 into 1/3 8.032 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 8.032 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.032 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.032 * [taylor]: Taking taylor expansion of N in N 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 1 into 1 8.032 * [backup-simplify]: Simplify (/ 1 1) into 1 8.032 * [taylor]: Taking taylor expansion of 1.0 in N 8.032 * [backup-simplify]: Simplify 1.0 into 1.0 8.032 * [taylor]: Taking taylor expansion of N in N 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 1 into 1 8.033 * [backup-simplify]: Simplify (+ 1 0) into 1 8.033 * [backup-simplify]: Simplify (/ 1 1) into 1 8.033 * [backup-simplify]: Simplify (log 1) into 0 8.033 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.033 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.033 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.034 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.034 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.035 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 8.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.039 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.040 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 8.041 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 8.041 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.042 * [backup-simplify]: Simplify (+ 0 0) into 0 8.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.055 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.056 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 8.061 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 8.062 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 8.062 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 8.063 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 8.063 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 8.063 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.063 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 8.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 8.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 8.063 * [taylor]: Taking taylor expansion of 1/3 in N 8.063 * [backup-simplify]: Simplify 1/3 into 1/3 8.063 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 8.063 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.063 * [taylor]: Taking taylor expansion of 1.0 in N 8.063 * [backup-simplify]: Simplify 1.0 into 1.0 8.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.063 * [taylor]: Taking taylor expansion of N in N 8.063 * [backup-simplify]: Simplify 0 into 0 8.063 * [backup-simplify]: Simplify 1 into 1 8.064 * [backup-simplify]: Simplify (/ 1 1) into 1 8.064 * [taylor]: Taking taylor expansion of N in N 8.064 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify 1 into 1 8.064 * [backup-simplify]: Simplify (- 1) into -1 8.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.065 * [backup-simplify]: Simplify (/ -1 1) into -1 8.065 * [backup-simplify]: Simplify (log -1) into (log -1) 8.066 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.066 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.067 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.067 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.067 * [taylor]: Taking taylor expansion of -1 in N 8.067 * [backup-simplify]: Simplify -1 into -1 8.067 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.068 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.068 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.068 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 8.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 8.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 8.068 * [taylor]: Taking taylor expansion of 1/3 in N 8.068 * [backup-simplify]: Simplify 1/3 into 1/3 8.068 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 8.068 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.068 * [taylor]: Taking taylor expansion of 1.0 in N 8.068 * [backup-simplify]: Simplify 1.0 into 1.0 8.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.068 * [taylor]: Taking taylor expansion of N in N 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [backup-simplify]: Simplify (/ 1 1) into 1 8.068 * [taylor]: Taking taylor expansion of N in N 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [backup-simplify]: Simplify (- 1) into -1 8.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.069 * [backup-simplify]: Simplify (/ -1 1) into -1 8.069 * [backup-simplify]: Simplify (log -1) into (log -1) 8.070 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.070 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.070 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.070 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.070 * [taylor]: Taking taylor expansion of -1 in N 8.070 * [backup-simplify]: Simplify -1 into -1 8.071 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.071 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.072 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.072 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.073 * [backup-simplify]: Simplify (- 0) into 0 8.073 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.075 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 8.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 8.079 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.079 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 8.081 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.082 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.083 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.085 * [backup-simplify]: Simplify (- 0) into 0 8.085 * [backup-simplify]: Simplify (+ 0 0) into 0 8.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.092 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 8.092 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.095 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 8.102 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.103 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.104 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.107 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.107 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1) 8.107 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 8.107 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 8.107 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 8.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 8.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 8.107 * [taylor]: Taking taylor expansion of 1/3 in N 8.107 * [backup-simplify]: Simplify 1/3 into 1/3 8.107 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 8.107 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 8.107 * [taylor]: Taking taylor expansion of N in N 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 1 into 1 8.107 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.107 * [taylor]: Taking taylor expansion of N in N 8.107 * [backup-simplify]: Simplify 0 into 0 8.107 * [backup-simplify]: Simplify 1 into 1 8.107 * [taylor]: Taking taylor expansion of 1.0 in N 8.107 * [backup-simplify]: Simplify 1.0 into 1.0 8.107 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.108 * [backup-simplify]: Simplify (* 0 1.0) into 0 8.108 * [backup-simplify]: Simplify (+ 1 0) into 1 8.109 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 8.109 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.110 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.110 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.110 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.110 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 8.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 8.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 8.110 * [taylor]: Taking taylor expansion of 1/3 in N 8.111 * [backup-simplify]: Simplify 1/3 into 1/3 8.111 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 8.111 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 8.111 * [taylor]: Taking taylor expansion of N in N 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify 1 into 1 8.111 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.111 * [taylor]: Taking taylor expansion of N in N 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify 1 into 1 8.111 * [taylor]: Taking taylor expansion of 1.0 in N 8.111 * [backup-simplify]: Simplify 1.0 into 1.0 8.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.111 * [backup-simplify]: Simplify (* 0 1.0) into 0 8.112 * [backup-simplify]: Simplify (+ 1 0) into 1 8.112 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 8.113 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.113 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.113 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.114 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.114 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.114 * [backup-simplify]: Simplify (+ 0 0) into 0 8.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 8.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.118 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.119 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 8.121 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.121 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.121 * [backup-simplify]: Simplify (+ 0 0) into 0 8.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 8.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 8.128 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.130 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 8.137 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 8.141 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 8.146 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 8.146 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 8.146 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 8.146 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 8.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 8.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 8.146 * [taylor]: Taking taylor expansion of 1/3 in N 8.146 * [backup-simplify]: Simplify 1/3 into 1/3 8.146 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 8.146 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.147 * [taylor]: Taking taylor expansion of N in N 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 1 into 1 8.147 * [backup-simplify]: Simplify (/ 1 1) into 1 8.147 * [taylor]: Taking taylor expansion of 1.0 in N 8.147 * [backup-simplify]: Simplify 1.0 into 1.0 8.147 * [taylor]: Taking taylor expansion of N in N 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 1 into 1 8.148 * [backup-simplify]: Simplify (+ 1 0) into 1 8.148 * [backup-simplify]: Simplify (/ 1 1) into 1 8.148 * [backup-simplify]: Simplify (log 1) into 0 8.149 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.149 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.149 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.149 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 8.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 8.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 8.149 * [taylor]: Taking taylor expansion of 1/3 in N 8.149 * [backup-simplify]: Simplify 1/3 into 1/3 8.149 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 8.149 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.149 * [taylor]: Taking taylor expansion of N in N 8.149 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (/ 1 1) into 1 8.150 * [taylor]: Taking taylor expansion of 1.0 in N 8.150 * [backup-simplify]: Simplify 1.0 into 1.0 8.150 * [taylor]: Taking taylor expansion of N in N 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (+ 1 0) into 1 8.150 * [backup-simplify]: Simplify (/ 1 1) into 1 8.151 * [backup-simplify]: Simplify (log 1) into 0 8.151 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.151 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.151 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.152 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.155 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 8.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.161 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.162 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 8.163 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 8.163 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.164 * [backup-simplify]: Simplify (+ 0 0) into 0 8.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.171 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.172 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 8.175 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 8.176 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 8.176 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 8.176 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 8.176 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 8.176 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.176 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 8.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 8.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 8.176 * [taylor]: Taking taylor expansion of 1/3 in N 8.176 * [backup-simplify]: Simplify 1/3 into 1/3 8.177 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 8.177 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.177 * [taylor]: Taking taylor expansion of 1.0 in N 8.177 * [backup-simplify]: Simplify 1.0 into 1.0 8.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.177 * [taylor]: Taking taylor expansion of N in N 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (/ 1 1) into 1 8.177 * [taylor]: Taking taylor expansion of N in N 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (- 1) into -1 8.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.178 * [backup-simplify]: Simplify (/ -1 1) into -1 8.178 * [backup-simplify]: Simplify (log -1) into (log -1) 8.178 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.179 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.179 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.179 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.179 * [taylor]: Taking taylor expansion of -1 in N 8.179 * [backup-simplify]: Simplify -1 into -1 8.179 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.180 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.180 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.180 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 8.180 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 8.180 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 8.180 * [taylor]: Taking taylor expansion of 1/3 in N 8.180 * [backup-simplify]: Simplify 1/3 into 1/3 8.180 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 8.180 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.180 * [taylor]: Taking taylor expansion of 1.0 in N 8.180 * [backup-simplify]: Simplify 1.0 into 1.0 8.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.180 * [taylor]: Taking taylor expansion of N in N 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (/ 1 1) into 1 8.180 * [taylor]: Taking taylor expansion of N in N 8.180 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 1 into 1 8.181 * [backup-simplify]: Simplify (- 1) into -1 8.181 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.181 * [backup-simplify]: Simplify (/ -1 1) into -1 8.182 * [backup-simplify]: Simplify (log -1) into (log -1) 8.182 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.182 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.183 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.183 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.183 * [taylor]: Taking taylor expansion of -1 in N 8.183 * [backup-simplify]: Simplify -1 into -1 8.183 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.184 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.184 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.185 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.186 * [backup-simplify]: Simplify (- 0) into 0 8.186 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.187 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 8.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 8.192 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.197 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 8.200 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.202 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.203 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.206 * [backup-simplify]: Simplify (- 0) into 0 8.207 * [backup-simplify]: Simplify (+ 0 0) into 0 8.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 8.219 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.219 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 8.223 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.225 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.225 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.228 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.228 * * * [progress]: simplifying candidates 8.229 * [simplify]: Simplifying: (log (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (exp (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (cbrt (- N 1.0))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (- N 1.0))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (cbrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (* (* (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (sqrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (sqrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.232 * * [simplify]: iteration 0: 177 enodes 8.283 * * [simplify]: iteration 1: 323 enodes 8.356 * * [simplify]: iteration 2: 637 enodes 8.564 * * [simplify]: iteration 3: 1679 enodes 9.117 * * [simplify]: iteration complete: 5003 enodes 9.117 * * [simplify]: Extracting #0: cost 30 inf + 0 9.118 * * [simplify]: Extracting #1: cost 99 inf + 0 9.120 * * [simplify]: Extracting #2: cost 766 inf + 115 9.129 * * [simplify]: Extracting #3: cost 1453 inf + 8539 9.148 * * [simplify]: Extracting #4: cost 1198 inf + 90786 9.183 * * [simplify]: Extracting #5: cost 742 inf + 196099 9.240 * * [simplify]: Extracting #6: cost 338 inf + 356206 9.316 * * [simplify]: Extracting #7: cost 73 inf + 489861 9.441 * * [simplify]: Extracting #8: cost 0 inf + 537778 9.521 * [simplify]: Simplified to: (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 1.0))) N)) (cbrt (- (* 1.0 1.0) (* N (- 1.0 N)))) (cbrt (* (* (cbrt (* N (* (+ 1.0 N) (- N 1.0)))) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 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(* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 1.0))) N)))) (cbrt (cbrt (- (* 1.0 1.0) (* N (- 1.0 N))))) (cbrt (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (* (+ 1.0 N) (- N 1.0)))))) (cbrt (cbrt (- N 1.0))) (cbrt (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 1.0))) N)))) (cbrt (cbrt (- (* 1.0 1.0) (* N (- 1.0 N))))) (cbrt (* (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (* (+ 1.0 N) (- N 1.0)))))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 1.0))) N)) (cbrt (- (* 1.0 1.0) (* N (- 1.0 N)))) (cbrt (* N (* (+ 1.0 N) (- N 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 1.0))) N)) (cbrt (- (* 1.0 1.0) (* N (- 1.0 N)))) (cbrt (* N (* (+ 1.0 N) (- N 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 1.0))) N)) (cbrt (- (* 1.0 1.0) (* N (- 1.0 N)))) (cbrt (* N (* (+ 1.0 N) (- N 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (+ (* (cbrt (* 1.0 N)) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (- (cbrt (* 1.0 N)) (* (/ (cbrt (* 1.0 N)) (* (/ 1.0 N) (/ 1.0 N))) 1/6))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N))))))) (+ (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (cbrt -1)) (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) (+ (* (cbrt (* 1.0 N)) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (- (cbrt (* 1.0 N)) (* (/ (cbrt (* 1.0 N)) (* (/ 1.0 N) (/ 1.0 N))) 1/6))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N))))))) (+ (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (cbrt -1)) (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) (+ (* (cbrt (* 1.0 N)) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (- (cbrt (* 1.0 N)) (* (/ (cbrt (* 1.0 N)) (* (/ 1.0 N) (/ 1.0 N))) 1/6))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N))))))) (+ (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (cbrt -1)) (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) (+ (* (cbrt (* 1.0 N)) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (- (cbrt (* 1.0 N)) (* (/ (cbrt (* 1.0 N)) (* (/ 1.0 N) (/ 1.0 N))) 1/6))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N))))))) (+ (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (cbrt -1)) (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) 9.538 * * * [progress]: adding candidates to table 10.035 * [progress]: [Phase 3 of 3] Extracting. 10.035 * * [regime]: Finding splitpoints for: (# # # # #) 10.036 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.036 * * * * [regimes]: Trying to branch on N from (# # # # #) 10.099 * * * [regime]: Found split indices: #