30.756 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.034 * * [simplify]: iteration 0: 6 enodes 0.035 * * [simplify]: iteration 1: 9 enodes 0.036 * * [simplify]: iteration 2: 10 enodes 0.038 * * [simplify]: iteration complete: 10 enodes 0.038 * * [simplify]: Extracting #0: cost 1 inf + 0 0.038 * * [simplify]: Extracting #1: cost 4 inf + 0 0.038 * * [simplify]: Extracting #2: cost 6 inf + 0 0.038 * * [simplify]: Extracting #3: cost 6 inf + 1 0.038 * * [simplify]: Extracting #4: cost 0 inf + 21 0.038 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.058 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.058 * [backup-simplify]: Simplify (- (atan (+ 1.0 N)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.058 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [taylor]: Taking taylor expansion of (atan N) in N 0.059 * [backup-simplify]: Simplify (atan N) into (atan N) 0.059 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.059 * [taylor]: Taking taylor expansion of (atan N) in N 0.059 * [backup-simplify]: Simplify (atan N) into (atan N) 0.059 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.059 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.059 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.060 * [backup-simplify]: Simplify (- 0) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (- 0) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.063 * [backup-simplify]: Simplify (- (atan (+ 1.0 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.063 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.063 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.063 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.063 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.063 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.063 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.063 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.063 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.063 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.063 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.064 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.064 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.064 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [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 (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.069 * [backup-simplify]: Simplify (- (atan (+ 1.0 (/ 1 (- N)))) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.070 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.070 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.070 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.070 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.070 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.070 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.070 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.070 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.070 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.070 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.070 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.070 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.071 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [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 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.076 * * * [progress]: simplifying candidates 0.076 * [simplify]: Simplifying: (- (+ 1.0 N) N) (+ 1 (* (+ 1.0 N) N)) (/ (exp (atan (+ 1.0 N))) (exp (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))) (- (pow (atan (+ 1.0 N)) 3) (pow (atan N) 3)) (+ (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (+ (* (atan N) (atan N)) (* (atan (+ 1.0 N)) (atan N)))) (- (atan N)) (- (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (* (atan N) (atan N))) (+ (atan (+ 1.0 N)) (atan N)) (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.077 * * [simplify]: iteration 0: 39 enodes 0.091 * * [simplify]: iteration 1: 76 enodes 0.129 * * [simplify]: iteration 2: 151 enodes 0.163 * * [simplify]: iteration 3: 360 enodes 0.264 * * [simplify]: iteration 4: 1034 enodes 0.831 * * [simplify]: iteration 5: 3649 enodes 2.074 * * [simplify]: iteration complete: 5000 enodes 2.074 * * [simplify]: Extracting #0: cost 16 inf + 0 2.074 * * [simplify]: Extracting #1: cost 149 inf + 1 2.076 * * [simplify]: Extracting #2: cost 858 inf + 3 2.080 * * [simplify]: Extracting #3: cost 1117 inf + 44 2.084 * * [simplify]: Extracting #4: cost 1148 inf + 476 2.093 * * [simplify]: Extracting #5: cost 834 inf + 5857 2.097 * * [simplify]: Extracting #6: cost 88 inf + 21131 2.101 * * [simplify]: Extracting #7: cost 2 inf + 22564 2.105 * * [simplify]: Extracting #8: cost 0 inf + 22608 2.111 * [simplify]: Simplified to: 1.0 (+ (* N (+ N 1.0)) 1) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (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) (atan N)) (* (atan (+ N 1.0)) (+ (atan N) (atan (+ N 1.0))))) (- (atan N)) (* (- (atan (+ N 1.0)) (atan N)) (+ (atan N) (atan (+ N 1.0)))) (+ (atan N) (atan (+ N 1.0))) (+ (sqrt (atan N)) (sqrt (atan (+ N 1.0)))) (- (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)) 2.112 * * * [progress]: adding candidates to table 2.210 * * [progress]: iteration 2 / 4 2.210 * * * [progress]: picking best candidate 2.213 * * * * [pick]: Picked # 2.213 * * * [progress]: localizing error 2.223 * * * [progress]: generating rewritten candidates 2.223 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.223 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 2.239 * * * [progress]: generating series expansions 2.239 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.239 * [backup-simplify]: Simplify (atan2 1.0 (+ (* N (+ N 1.0)) 1)) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.239 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 2.240 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.240 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.240 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.240 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.240 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.241 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1)) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.241 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 2.241 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.241 * [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))) 2.241 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.241 * [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))) 2.241 * [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))) 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.242 * [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))) 2.242 * [backup-simplify]: Simplify (atan2 1.0 (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) 1)) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.242 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.242 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.242 * [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)))) 2.242 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.242 * [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)))) 2.242 * [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)))) 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [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))) 2.243 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 2.243 * [backup-simplify]: Simplify (* N (+ N 1.0)) into (* N (+ N 1.0)) 2.243 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.243 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [taylor]: Taking taylor expansion of 1.0 in N 2.243 * [backup-simplify]: Simplify 1.0 into 1.0 2.244 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.244 * [taylor]: Taking taylor expansion of N in N 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.244 * [taylor]: Taking taylor expansion of N in N 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [taylor]: Taking taylor expansion of 1.0 in N 2.244 * [backup-simplify]: Simplify 1.0 into 1.0 2.245 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.245 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.245 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (+ 1 0) into 1 2.247 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.247 * [backup-simplify]: Simplify 1.0 into 1.0 2.247 * [backup-simplify]: Simplify (+ 0 0) into 0 2.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.249 * [backup-simplify]: Simplify 1 into 1 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify (+ 0 0) into 0 2.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.254 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 2.262 * [backup-simplify]: Simplify (* (/ 1 N) (+ (/ 1 N) 1.0)) into (/ (+ (/ 1 N) 1.0) N) 2.262 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.262 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.262 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.263 * [taylor]: Taking taylor expansion of N in N 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [taylor]: Taking taylor expansion of 1.0 in N 2.263 * [backup-simplify]: Simplify 1.0 into 1.0 2.263 * [taylor]: Taking taylor expansion of N in N 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (+ 1 0) into 1 2.264 * [backup-simplify]: Simplify (/ 1 1) into 1 2.264 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.264 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.264 * [taylor]: Taking taylor expansion of N in N 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (/ 1 1) into 1 2.264 * [taylor]: Taking taylor expansion of 1.0 in N 2.265 * [backup-simplify]: Simplify 1.0 into 1.0 2.265 * [taylor]: Taking taylor expansion of N in N 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (+ 1 0) into 1 2.265 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.269 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.269 * [backup-simplify]: Simplify 1.0 into 1.0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 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 0) into 0 2.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ 0 0) into 0 2.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 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)) (* 0 (/ 0 1)))) 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)) (* 0 (/ 0 1)))) into 0 2.282 * [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 2.290 * [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 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 2.292 * [backup-simplify]: Simplify (* (/ 1 (- N)) (+ (/ 1 (- N)) 1.0)) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.292 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.292 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.292 * [taylor]: Taking taylor expansion of -1 in N 2.292 * [backup-simplify]: Simplify -1 into -1 2.292 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.292 * [taylor]: Taking taylor expansion of 1.0 in N 2.292 * [backup-simplify]: Simplify 1.0 into 1.0 2.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.292 * [taylor]: Taking taylor expansion of N in N 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (/ 1 1) into 1 2.292 * [taylor]: Taking taylor expansion of N in N 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (- 1) into -1 2.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.294 * [backup-simplify]: Simplify (/ -1 1) into -1 2.294 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.294 * [taylor]: Taking taylor expansion of -1 in N 2.294 * [backup-simplify]: Simplify -1 into -1 2.294 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.294 * [taylor]: Taking taylor expansion of 1.0 in N 2.294 * [backup-simplify]: Simplify 1.0 into 1.0 2.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.294 * [taylor]: Taking taylor expansion of N in N 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (/ 1 1) into 1 2.294 * [taylor]: Taking taylor expansion of N in N 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (- 1) into -1 2.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.295 * [backup-simplify]: Simplify (/ -1 1) into -1 2.296 * [backup-simplify]: Simplify (* -1 -1) into 1 2.296 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (- 0) into 0 2.297 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.299 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.301 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.301 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (- 0) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (- 0) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (- 0) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (- 0) into 0 2.311 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (- 0) into 0 2.313 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [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 2.315 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.316 * [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 2.316 * [backup-simplify]: Simplify (- 0) into 0 2.316 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 2.319 * * * [progress]: simplifying candidates 2.319 * [simplify]: Simplifying: (log (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* (* (atan2 1.0 (+ (* N (+ N 1.0)) 1)) (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* N (+ N 1.0)) (+ (log N) (log (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (* (* N N) N) (* (* (+ N 1.0) (+ N 1.0)) (+ 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 N) (* N 1.0) (* N N) (* 1.0 N) (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* N (sqrt (+ N 1.0))) (* N 1) (* N 1) (* (cbrt N) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (* N (+ N 1.0)) (* N (+ (pow N 3) (pow 1.0 3))) (* N (- (* N N) (* 1.0 1.0))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) 2.320 * * [simplify]: iteration 0: 56 enodes 2.337 * * [simplify]: iteration 1: 156 enodes 2.431 * * [simplify]: iteration 2: 748 enodes 2.755 * * [simplify]: iteration complete: 5001 enodes 2.755 * * [simplify]: Extracting #0: cost 27 inf + 0 2.757 * * [simplify]: Extracting #1: cost 622 inf + 4 2.774 * * [simplify]: Extracting #2: cost 1646 inf + 1079 2.786 * * [simplify]: Extracting #3: cost 1606 inf + 8909 2.801 * * [simplify]: Extracting #4: cost 259 inf + 21402 2.816 * * [simplify]: Extracting #5: cost 13 inf + 23270 2.826 * * [simplify]: Extracting #6: cost 3 inf + 23312 2.834 * * [simplify]: Extracting #7: cost 0 inf + 23327 2.843 * [simplify]: Simplified to: (log (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (exp (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1)))) (cbrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (pow (atan2 1.0 (+ (* N (+ N 1.0)) 1)) 3) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (sqrt (atan2 1.0 (+ (* N (+ N 1.0)) 1))) (* N (+ N 1.0)) (log (* N (+ N 1.0))) (log (* N (+ N 1.0))) (pow (exp N) (+ N 1.0)) (* (pow N 3) (pow (+ N 1.0) 3)) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (pow (* N (+ N 1.0)) 3) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* N N) (* 1.0 N) (* N N) (* 1.0 N) (* N (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* N (sqrt (+ N 1.0))) N N (* (cbrt N) (+ 1.0 N)) (* (sqrt N) (+ N 1.0)) (* N (+ N 1.0)) (* N (+ (pow 1.0 3) (pow N 3))) (* (+ 1.0 N) (* (- N 1.0) N)) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) (atan2 1.0 (+ (* N (+ 1.0 N)) 1)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) 2.844 * * * [progress]: adding candidates to table 2.947 * * [progress]: iteration 3 / 4 2.947 * * * [progress]: picking best candidate 2.963 * * * * [pick]: Picked # 2.963 * * * [progress]: localizing error 3.000 * * * [progress]: generating rewritten candidates 3.000 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 3.001 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 3.003 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 3.004 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.025 * * * [progress]: generating series expansions 3.025 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 3.025 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.025 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.025 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.025 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.025 * [taylor]: Taking taylor expansion of 1/3 in N 3.025 * [backup-simplify]: Simplify 1/3 into 1/3 3.025 * [taylor]: Taking taylor expansion of (log N) in N 3.025 * [taylor]: Taking taylor expansion of N in N 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (log 1) into 0 3.027 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.027 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.027 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.027 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.027 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.027 * [taylor]: Taking taylor expansion of 1/3 in N 3.027 * [backup-simplify]: Simplify 1/3 into 1/3 3.027 * [taylor]: Taking taylor expansion of (log N) in N 3.027 * [taylor]: Taking taylor expansion of N in N 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (log 1) into 0 3.028 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.028 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.028 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.029 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.031 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.031 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.033 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.037 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.038 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.039 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.045 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.046 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.048 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.060 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.062 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.064 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.064 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.082 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.084 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.088 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.121 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.123 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.129 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.130 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.130 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.130 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.130 * [taylor]: Taking taylor expansion of 1/3 in N 3.130 * [backup-simplify]: Simplify 1/3 into 1/3 3.130 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.130 * [taylor]: Taking taylor expansion of N in N 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (/ 1 1) into 1 3.131 * [backup-simplify]: Simplify (log 1) into 0 3.132 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.132 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.132 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.132 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.132 * [taylor]: Taking taylor expansion of 1/3 in N 3.132 * [backup-simplify]: Simplify 1/3 into 1/3 3.132 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.132 * [taylor]: Taking taylor expansion of N in N 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (/ 1 1) into 1 3.133 * [backup-simplify]: Simplify (log 1) into 0 3.133 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.133 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.133 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.134 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.136 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.143 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.144 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.149 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.150 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.151 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.159 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.161 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.161 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.172 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.174 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.175 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.189 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.189 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.212 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.215 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.216 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.216 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.216 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.216 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.216 * [taylor]: Taking taylor expansion of 1/3 in N 3.216 * [backup-simplify]: Simplify 1/3 into 1/3 3.216 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.216 * [taylor]: Taking taylor expansion of N in N 3.216 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify 1 into 1 3.216 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [backup-simplify]: Simplify (log 1) into 0 3.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.217 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.217 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.217 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.217 * [taylor]: Taking taylor expansion of -1 in N 3.217 * [backup-simplify]: Simplify -1 into -1 3.217 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.218 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.218 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.218 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.218 * [taylor]: Taking taylor expansion of 1/3 in N 3.218 * [backup-simplify]: Simplify 1/3 into 1/3 3.218 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.218 * [taylor]: Taking taylor expansion of N in N 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (/ 1 1) into 1 3.219 * [backup-simplify]: Simplify (log 1) into 0 3.219 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.219 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.219 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.219 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.219 * [taylor]: Taking taylor expansion of -1 in N 3.219 * [backup-simplify]: Simplify -1 into -1 3.220 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.220 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.221 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.221 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.222 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.223 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.223 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.224 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.224 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.227 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.228 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.228 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.229 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.229 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.233 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.235 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.236 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.255 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.260 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.261 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.261 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.280 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.281 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.283 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.284 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 3.284 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.303 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.309 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 3.312 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 3.312 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.312 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.312 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.313 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.313 * [taylor]: Taking taylor expansion of 1/3 in N 3.313 * [backup-simplify]: Simplify 1/3 into 1/3 3.313 * [taylor]: Taking taylor expansion of (log N) in N 3.313 * [taylor]: Taking taylor expansion of N in N 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (log 1) into 0 3.314 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.314 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.314 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.314 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.314 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.314 * [taylor]: Taking taylor expansion of 1/3 in N 3.314 * [backup-simplify]: Simplify 1/3 into 1/3 3.314 * [taylor]: Taking taylor expansion of (log N) in N 3.314 * [taylor]: Taking taylor expansion of N in N 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (log 1) into 0 3.315 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.315 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.315 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.315 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.317 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.318 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.319 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.323 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.324 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.325 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.332 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.333 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.335 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.347 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.348 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.351 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.369 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.376 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.415 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.418 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.421 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.421 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.422 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.422 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.422 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.422 * [taylor]: Taking taylor expansion of 1/3 in N 3.422 * [backup-simplify]: Simplify 1/3 into 1/3 3.422 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.422 * [taylor]: Taking taylor expansion of N in N 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (/ 1 1) into 1 3.422 * [backup-simplify]: Simplify (log 1) into 0 3.423 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.423 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.423 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.423 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.423 * [taylor]: Taking taylor expansion of 1/3 in N 3.423 * [backup-simplify]: Simplify 1/3 into 1/3 3.423 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.423 * [taylor]: Taking taylor expansion of N in N 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (/ 1 1) into 1 3.424 * [backup-simplify]: Simplify (log 1) into 0 3.424 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.424 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.424 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.424 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.426 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.426 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.427 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.429 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.429 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.430 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.431 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.434 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.436 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.444 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.445 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.448 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.448 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.466 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.471 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.504 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.512 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.512 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.512 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.512 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.512 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.512 * [taylor]: Taking taylor expansion of 1/3 in N 3.512 * [backup-simplify]: Simplify 1/3 into 1/3 3.512 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.513 * [taylor]: Taking taylor expansion of N in N 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [backup-simplify]: Simplify (/ 1 1) into 1 3.513 * [backup-simplify]: Simplify (log 1) into 0 3.514 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.514 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.514 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.514 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.514 * [taylor]: Taking taylor expansion of -1 in N 3.514 * [backup-simplify]: Simplify -1 into -1 3.515 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.515 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.515 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.515 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.516 * [taylor]: Taking taylor expansion of 1/3 in N 3.516 * [backup-simplify]: Simplify 1/3 into 1/3 3.516 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.516 * [taylor]: Taking taylor expansion of N in N 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (/ 1 1) into 1 3.516 * [backup-simplify]: Simplify (log 1) into 0 3.517 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.517 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.517 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.517 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.517 * [taylor]: Taking taylor expansion of -1 in N 3.517 * [backup-simplify]: Simplify -1 into -1 3.518 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.518 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.519 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.520 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.528 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.529 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.530 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.534 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.534 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.535 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.536 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.536 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.540 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.541 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.542 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.543 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.550 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.551 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.553 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.565 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.566 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.568 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.572 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.573 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 3.573 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.599 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.600 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.601 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.605 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.606 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 3.607 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 3.607 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.607 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.607 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.607 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.607 * [taylor]: Taking taylor expansion of 1/3 in N 3.607 * [backup-simplify]: Simplify 1/3 into 1/3 3.607 * [taylor]: Taking taylor expansion of (log N) in N 3.607 * [taylor]: Taking taylor expansion of N in N 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (log 1) into 0 3.608 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.608 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.608 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.608 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.608 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.608 * [taylor]: Taking taylor expansion of 1/3 in N 3.608 * [backup-simplify]: Simplify 1/3 into 1/3 3.608 * [taylor]: Taking taylor expansion of (log N) in N 3.608 * [taylor]: Taking taylor expansion of N in N 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (log 1) into 0 3.609 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.609 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.609 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.609 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.610 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.610 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.611 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.613 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.614 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.614 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.617 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.619 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.620 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.632 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.634 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.637 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.656 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.662 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.694 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.696 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.702 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.702 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.703 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.703 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.703 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.703 * [taylor]: Taking taylor expansion of 1/3 in N 3.703 * [backup-simplify]: Simplify 1/3 into 1/3 3.703 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.703 * [taylor]: Taking taylor expansion of N in N 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [backup-simplify]: Simplify (log 1) into 0 3.704 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.704 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.705 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.705 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.705 * [taylor]: Taking taylor expansion of 1/3 in N 3.705 * [backup-simplify]: Simplify 1/3 into 1/3 3.705 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.705 * [taylor]: Taking taylor expansion of N in N 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (/ 1 1) into 1 3.706 * [backup-simplify]: Simplify (log 1) into 0 3.706 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.707 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.707 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.707 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.709 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.711 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.715 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.718 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.718 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.724 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.726 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.727 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.727 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.740 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.742 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.745 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.745 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.763 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.763 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.765 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.769 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.809 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.811 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.817 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.818 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.818 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 3.818 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.818 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.818 * [taylor]: Taking taylor expansion of 1/3 in N 3.818 * [backup-simplify]: Simplify 1/3 into 1/3 3.818 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.818 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.818 * [taylor]: Taking taylor expansion of N in N 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (/ 1 1) into 1 3.819 * [backup-simplify]: Simplify (log 1) into 0 3.819 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.819 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.819 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.819 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.819 * [taylor]: Taking taylor expansion of -1 in N 3.819 * [backup-simplify]: Simplify -1 into -1 3.820 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.821 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.821 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 3.821 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.821 * [taylor]: Taking taylor expansion of 1/3 in N 3.821 * [backup-simplify]: Simplify 1/3 into 1/3 3.821 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.821 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.821 * [taylor]: Taking taylor expansion of N in N 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (/ 1 1) into 1 3.822 * [backup-simplify]: Simplify (log 1) into 0 3.822 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.822 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.822 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.822 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.822 * [taylor]: Taking taylor expansion of -1 in N 3.822 * [backup-simplify]: Simplify -1 into -1 3.823 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.823 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.824 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.825 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.827 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.828 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.829 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.835 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.835 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.837 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.838 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 3.838 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.845 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.846 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.849 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 3.850 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.864 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.866 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.869 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.871 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.890 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.892 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.896 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.898 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.932 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.933 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.935 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.949 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.951 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 3.952 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.952 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3) 3.952 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 3.952 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 3.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 3.952 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 3.952 * [taylor]: Taking taylor expansion of 1/3 in N 3.952 * [backup-simplify]: Simplify 1/3 into 1/3 3.952 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.952 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.952 * [taylor]: Taking taylor expansion of N in N 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify 1 into 1 3.953 * [backup-simplify]: Simplify (* 1 1) into 1 3.953 * [backup-simplify]: Simplify (log 1) into 0 3.954 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.954 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 3.954 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 3.954 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 3.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 3.954 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 3.954 * [taylor]: Taking taylor expansion of 1/3 in N 3.954 * [backup-simplify]: Simplify 1/3 into 1/3 3.954 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 3.954 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.954 * [taylor]: Taking taylor expansion of N in N 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (log 1) into 0 3.955 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.955 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 3.956 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 3.956 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.959 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.959 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 3.959 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.961 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.962 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.962 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 3.963 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.963 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.966 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.967 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.968 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 3.969 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.975 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.976 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.977 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 3.978 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.978 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.989 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.989 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 3.991 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 3.993 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.018 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.019 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.020 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 4.023 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 4.024 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 4.024 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 4.024 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.024 * [taylor]: Taking taylor expansion of 1/3 in N 4.024 * [backup-simplify]: Simplify 1/3 into 1/3 4.024 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.024 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.024 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.024 * [taylor]: Taking taylor expansion of N in N 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (/ 1 1) into 1 4.025 * [backup-simplify]: Simplify (log 1) into 0 4.025 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.025 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.025 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.025 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.025 * [taylor]: Taking taylor expansion of 1/3 in N 4.025 * [backup-simplify]: Simplify 1/3 into 1/3 4.025 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.025 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.025 * [taylor]: Taking taylor expansion of N in N 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [backup-simplify]: Simplify (log 1) into 0 4.026 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.027 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.027 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.027 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.029 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.029 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.030 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.033 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.033 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 4.034 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.038 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.039 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 4.040 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.057 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 4.060 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.071 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.073 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 4.075 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.075 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.097 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 4.106 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 4.107 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.107 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 4.107 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.107 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.107 * [taylor]: Taking taylor expansion of 1/3 in N 4.107 * [backup-simplify]: Simplify 1/3 into 1/3 4.107 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.107 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.107 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.107 * [taylor]: Taking taylor expansion of N in N 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (* 1 1) into 1 4.108 * [backup-simplify]: Simplify (/ 1 1) into 1 4.108 * [backup-simplify]: Simplify (log 1) into 0 4.108 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.108 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.108 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.108 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.109 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.109 * [taylor]: Taking taylor expansion of -1 in N 4.109 * [backup-simplify]: Simplify -1 into -1 4.109 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.110 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.110 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.110 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 4.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 4.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 4.110 * [taylor]: Taking taylor expansion of 1/3 in N 4.110 * [backup-simplify]: Simplify 1/3 into 1/3 4.110 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 4.110 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.110 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.110 * [taylor]: Taking taylor expansion of N in N 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (* 1 1) into 1 4.110 * [backup-simplify]: Simplify (/ 1 1) into 1 4.111 * [backup-simplify]: Simplify (log 1) into 0 4.111 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.111 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.111 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.111 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.111 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.111 * [taylor]: Taking taylor expansion of -1 in N 4.111 * [backup-simplify]: Simplify -1 into -1 4.111 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.112 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.113 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 4.114 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.115 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.115 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.117 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.117 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.118 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (* 0 (pow (cbrt -1) 2))) into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.120 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.123 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.123 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 4.124 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.125 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.126 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.131 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.131 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 4.132 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.133 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.135 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.149 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.151 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 4.152 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.153 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.161 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.172 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.173 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 4.175 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.179 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 4.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.212 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.213 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 4.221 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))))) into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 4.225 * * * [progress]: simplifying candidates 4.227 * [simplify]: Simplifying: (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (+ 1/3 1/3) (+ 1 1) (* N N) (* (cbrt N) (cbrt N)) (+ 1 1) (+ (log (cbrt N)) (log (cbrt N))) (log (* (cbrt N) (cbrt N))) (exp (* (cbrt N) (cbrt N))) (* N N) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (cbrt (* (cbrt N) (cbrt N))) (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (sqrt (* (cbrt N) (cbrt N))) (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 1 1) (* (cbrt N) (cbrt N)) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (cbrt (sqrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* (sqrt (cbrt N)) (sqrt (cbrt N))) (* 2 1/3) (* 2 1) (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))) (* (cbrt N) (cbrt (sqrt N))) (* (cbrt N) (cbrt 1)) (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (* (cbrt N) (sqrt (cbrt N))) (* (cbrt N) 1) (* (cbrt (cbrt N)) (cbrt N)) (* (cbrt (sqrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt (cbrt N)) (cbrt N)) (* (sqrt (cbrt N)) (cbrt N)) (* (cbrt N) (cbrt N)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 4.228 * * [simplify]: iteration 0: 61 enodes 4.261 * * [simplify]: iteration 1: 138 enodes 4.359 * * [simplify]: iteration 2: 727 enodes 5.342 * * [simplify]: iteration complete: 5000 enodes 5.342 * * [simplify]: Extracting #0: cost 29 inf + 0 5.345 * * [simplify]: Extracting #1: cost 1281 inf + 4 5.350 * * [simplify]: Extracting #2: cost 1672 inf + 1246 5.356 * * [simplify]: Extracting #3: cost 1140 inf + 5412 5.372 * * [simplify]: Extracting #4: cost 365 inf + 11246 5.383 * * [simplify]: Extracting #5: cost 0 inf + 14567 5.394 * * [simplify]: Extracting #6: cost 0 inf + 14554 5.405 * [simplify]: Simplified to: (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) 2/3 2 (pow N 2) (pow N 2/3) 2 (* 2/3 (log N)) (* 2/3 (log N)) (exp (pow N 2/3)) (pow N 2) (* (cbrt (pow N 2/3)) (cbrt (pow N 2/3))) (cbrt (pow N 2/3)) (pow N 2) (fabs (cbrt N)) (fabs (cbrt N)) (* (cbrt (pow N 2/3)) (cbrt (pow N 2/3))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) 1 (pow N 2/3) (* (cbrt N) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N) (cbrt N) 1 (pow N 2/3) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (* (sqrt (cbrt N)) (cbrt (sqrt N))) (cbrt N) (cbrt N) 2/3 2 (* (cbrt N) (cbrt (pow N 2/3))) (* (cbrt (sqrt N)) (cbrt N)) (cbrt N) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt N)) (pow (sqrt (cbrt N)) 3) (cbrt N) (* (cbrt N) (cbrt (cbrt N))) (* (cbrt (sqrt N)) (cbrt N)) (pow N 2/3) (* (cbrt N) (cbrt (cbrt N))) (pow (sqrt (cbrt N)) 3) (pow N 2/3) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (pow N 2/3) (pow (/ 1 N) -2/3) (* (pow (cbrt -1) 2) (cbrt (pow N 2))) 5.407 * * * [progress]: adding candidates to table 5.754 * * [progress]: iteration 4 / 4 5.754 * * * [progress]: picking best candidate 5.780 * * * * [pick]: Picked # 5.780 * * * [progress]: localizing error 5.812 * * * [progress]: generating rewritten candidates 5.813 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 5.814 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1 2) 5.815 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1) 5.816 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 5.818 * * * [progress]: generating series expansions 5.818 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 5.818 * [backup-simplify]: Simplify (cbrt (cbrt N)) into (pow N 1/9) 5.818 * [approximate]: Taking taylor expansion of (pow N 1/9) in (N) around 0 5.818 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 5.818 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 5.818 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 5.818 * [taylor]: Taking taylor expansion of 1/9 in N 5.818 * [backup-simplify]: Simplify 1/9 into 1/9 5.818 * [taylor]: Taking taylor expansion of (log N) in N 5.818 * [taylor]: Taking taylor expansion of N in N 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify (log 1) into 0 5.819 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.819 * [backup-simplify]: Simplify (* 1/9 (log N)) into (* 1/9 (log N)) 5.819 * [backup-simplify]: Simplify (exp (* 1/9 (log N))) into (pow N 1/9) 5.819 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 5.819 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 5.819 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 5.819 * [taylor]: Taking taylor expansion of 1/9 in N 5.819 * [backup-simplify]: Simplify 1/9 into 1/9 5.820 * [taylor]: Taking taylor expansion of (log N) in N 5.820 * [taylor]: Taking taylor expansion of N in N 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 1 into 1 5.820 * [backup-simplify]: Simplify (log 1) into 0 5.820 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.820 * [backup-simplify]: Simplify (* 1/9 (log N)) into (* 1/9 (log N)) 5.820 * [backup-simplify]: Simplify (exp (* 1/9 (log N))) into (pow N 1/9) 5.820 * [backup-simplify]: Simplify (pow N 1/9) into (pow N 1/9) 5.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.821 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.822 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log N))) into 0 5.822 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.824 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.825 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.825 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.829 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.829 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.830 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.830 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.838 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.840 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.843 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.843 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.860 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.862 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.866 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.866 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.889 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.891 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.894 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify (pow N 1/9) into (pow N 1/9) 5.894 * [backup-simplify]: Simplify (cbrt (cbrt (/ 1 N))) into (pow (/ 1 N) 1/9) 5.894 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/9) in (N) around 0 5.894 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 5.894 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 5.894 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 5.894 * [taylor]: Taking taylor expansion of 1/9 in N 5.894 * [backup-simplify]: Simplify 1/9 into 1/9 5.894 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.894 * [taylor]: Taking taylor expansion of N in N 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 1 into 1 5.895 * [backup-simplify]: Simplify (/ 1 1) into 1 5.895 * [backup-simplify]: Simplify (log 1) into 0 5.895 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.895 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 5.896 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 5.896 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 5.896 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 5.896 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 5.896 * [taylor]: Taking taylor expansion of 1/9 in N 5.896 * [backup-simplify]: Simplify 1/9 into 1/9 5.896 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.896 * [taylor]: Taking taylor expansion of N in N 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 1 into 1 5.896 * [backup-simplify]: Simplify (/ 1 1) into 1 5.896 * [backup-simplify]: Simplify (log 1) into 0 5.897 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.897 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 5.897 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 5.897 * [backup-simplify]: Simplify (pow N -1/9) into (pow N -1/9) 5.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.899 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.899 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (- (log N)))) into 0 5.900 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.900 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.902 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.903 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.903 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.903 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.907 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.907 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.908 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.909 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.909 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.925 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.925 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.927 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.929 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.929 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.948 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.948 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.950 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.954 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.987 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.987 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.990 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.996 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (pow (/ 1 N) -1/9) into (pow (/ 1 N) -1/9) 5.996 * [backup-simplify]: Simplify (cbrt (cbrt (/ 1 (- N)))) into (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) 5.996 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) in (N) around 0 5.996 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) in N 5.996 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 5.996 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 5.996 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 5.996 * [taylor]: Taking taylor expansion of 1/9 in N 5.996 * [backup-simplify]: Simplify 1/9 into 1/9 5.996 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.996 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.997 * [taylor]: Taking taylor expansion of N in N 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.997 * [backup-simplify]: Simplify (/ 1 1) into 1 5.997 * [backup-simplify]: Simplify (log 1) into 0 5.998 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.998 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 5.998 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 5.998 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 5.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 5.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 5.998 * [taylor]: Taking taylor expansion of 1/3 in N 5.998 * [backup-simplify]: Simplify 1/3 into 1/3 5.998 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 5.998 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.998 * [taylor]: Taking taylor expansion of -1 in N 5.998 * [backup-simplify]: Simplify -1 into -1 5.999 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.000 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.001 * [backup-simplify]: Simplify (log (cbrt -1)) into (log (cbrt -1)) 6.002 * [backup-simplify]: Simplify (* 1/3 (log (cbrt -1))) into (* 1/3 (log (cbrt -1))) 6.004 * [backup-simplify]: Simplify (exp (* 1/3 (log (cbrt -1)))) into (pow (cbrt -1) 1/3) 6.005 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) in N 6.005 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 6.005 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 6.005 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 6.005 * [taylor]: Taking taylor expansion of 1/9 in N 6.005 * [backup-simplify]: Simplify 1/9 into 1/9 6.005 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.005 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.005 * [taylor]: Taking taylor expansion of N in N 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 1 into 1 6.005 * [backup-simplify]: Simplify (/ 1 1) into 1 6.006 * [backup-simplify]: Simplify (log 1) into 0 6.006 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.006 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.006 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.006 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 6.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 6.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 6.006 * [taylor]: Taking taylor expansion of 1/3 in N 6.006 * [backup-simplify]: Simplify 1/3 into 1/3 6.006 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 6.007 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.007 * [taylor]: Taking taylor expansion of -1 in N 6.007 * [backup-simplify]: Simplify -1 into -1 6.007 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.008 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.009 * [backup-simplify]: Simplify (log (cbrt -1)) into (log (cbrt -1)) 6.010 * [backup-simplify]: Simplify (* 1/3 (log (cbrt -1))) into (* 1/3 (log (cbrt -1))) 6.013 * [backup-simplify]: Simplify (exp (* 1/3 (log (cbrt -1)))) into (pow (cbrt -1) 1/3) 6.014 * [backup-simplify]: Simplify (* (pow N -1/9) (pow (cbrt -1) 1/3)) into (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) 6.016 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) into (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) 6.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cbrt -1) 1)))) 1) into 0 6.018 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cbrt -1)))) into 0 6.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.023 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.024 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (- (log N)))) into 0 6.025 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.026 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (* 0 (pow (cbrt -1) 1/3))) into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.030 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cbrt -1) 1)))) 2) into 0 6.031 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cbrt -1))))) into 0 6.033 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.037 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.037 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.038 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.039 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.040 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3)))) into 0 6.040 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.047 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cbrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cbrt -1) 1)))) 6) into 0 6.048 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1)))))) into 0 6.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.054 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.055 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.061 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.063 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3))))) into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.072 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cbrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cbrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cbrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cbrt -1) 1)))) 24) into 0 6.073 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1))))))) into 0 6.076 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.082 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.083 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.085 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.086 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3)))))) into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.100 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cbrt -1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cbrt -1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cbrt -1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cbrt -1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cbrt -1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cbrt -1) 1)))) 120) into 0 6.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1)))))))) into 0 6.108 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.125 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.126 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.128 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.132 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.135 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3))))))) into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.171 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cbrt -1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cbrt -1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cbrt -1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cbrt -1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cbrt -1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cbrt -1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cbrt -1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cbrt -1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cbrt -1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cbrt -1) 1)))) 720) into 0 6.173 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1))))))))) into 0 6.180 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.204 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.205 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.207 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 6.210 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.211 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3)))))))) into 0 6.211 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/9) (pow (cbrt -1) 1/3)) into (* (pow (* N -1) 1/9) (pow (cbrt -1) 1/3)) 6.213 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1 2) 6.213 * [backup-simplify]: Simplify (cbrt (cbrt N)) into (pow N 1/9) 6.213 * [approximate]: Taking taylor expansion of (pow N 1/9) in (N) around 0 6.213 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 6.213 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 6.213 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 6.213 * [taylor]: Taking taylor expansion of 1/9 in N 6.213 * [backup-simplify]: Simplify 1/9 into 1/9 6.213 * [taylor]: Taking taylor expansion of (log N) in N 6.213 * [taylor]: Taking taylor expansion of N in N 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.214 * [backup-simplify]: Simplify (log 1) into 0 6.214 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.214 * [backup-simplify]: Simplify (* 1/9 (log N)) into (* 1/9 (log N)) 6.214 * [backup-simplify]: Simplify (exp (* 1/9 (log N))) into (pow N 1/9) 6.214 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 6.214 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 6.214 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 6.215 * [taylor]: Taking taylor expansion of 1/9 in N 6.215 * [backup-simplify]: Simplify 1/9 into 1/9 6.215 * [taylor]: Taking taylor expansion of (log N) in N 6.215 * [taylor]: Taking taylor expansion of N in N 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 1 into 1 6.215 * [backup-simplify]: Simplify (log 1) into 0 6.215 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.216 * [backup-simplify]: Simplify (* 1/9 (log N)) into (* 1/9 (log N)) 6.216 * [backup-simplify]: Simplify (exp (* 1/9 (log N))) into (pow N 1/9) 6.216 * [backup-simplify]: Simplify (pow N 1/9) into (pow N 1/9) 6.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.218 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.218 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log N))) into 0 6.219 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.219 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.222 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.223 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log N)))) into 0 6.225 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.231 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.232 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 6.234 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.234 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.246 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.248 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 6.250 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.250 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.269 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.271 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 6.275 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.307 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.310 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 6.316 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify (pow N 1/9) into (pow N 1/9) 6.316 * [backup-simplify]: Simplify (cbrt (cbrt (/ 1 N))) into (pow (/ 1 N) 1/9) 6.316 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/9) in (N) around 0 6.316 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 6.316 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 6.316 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 6.316 * [taylor]: Taking taylor expansion of 1/9 in N 6.316 * [backup-simplify]: Simplify 1/9 into 1/9 6.316 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.316 * [taylor]: Taking taylor expansion of N in N 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 1 into 1 6.317 * [backup-simplify]: Simplify (/ 1 1) into 1 6.317 * [backup-simplify]: Simplify (log 1) into 0 6.318 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.318 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.318 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.318 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 6.318 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 6.318 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 6.318 * [taylor]: Taking taylor expansion of 1/9 in N 6.318 * [backup-simplify]: Simplify 1/9 into 1/9 6.318 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.318 * [taylor]: Taking taylor expansion of N in N 6.318 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify (/ 1 1) into 1 6.319 * [backup-simplify]: Simplify (log 1) into 0 6.319 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.320 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.320 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.320 * [backup-simplify]: Simplify (pow N -1/9) into (pow N -1/9) 6.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.322 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.323 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (- (log N)))) into 0 6.324 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.324 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.328 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.329 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.331 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.331 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.346 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.347 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.349 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.349 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.360 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.361 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.363 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.366 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.366 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.378 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.378 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.380 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.382 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.382 * [backup-simplify]: Simplify 0 into 0 6.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.399 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.399 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.401 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 6.404 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify (pow (/ 1 N) -1/9) into (pow (/ 1 N) -1/9) 6.404 * [backup-simplify]: Simplify (cbrt (cbrt (/ 1 (- N)))) into (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) 6.404 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) in (N) around 0 6.404 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) in N 6.404 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 6.404 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 6.404 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 6.404 * [taylor]: Taking taylor expansion of 1/9 in N 6.404 * [backup-simplify]: Simplify 1/9 into 1/9 6.404 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.404 * [taylor]: Taking taylor expansion of N in N 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify 1 into 1 6.405 * [backup-simplify]: Simplify (/ 1 1) into 1 6.405 * [backup-simplify]: Simplify (log 1) into 0 6.405 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.405 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.406 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.406 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 6.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 6.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 6.406 * [taylor]: Taking taylor expansion of 1/3 in N 6.406 * [backup-simplify]: Simplify 1/3 into 1/3 6.406 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 6.406 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.406 * [taylor]: Taking taylor expansion of -1 in N 6.406 * [backup-simplify]: Simplify -1 into -1 6.406 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.407 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.407 * [backup-simplify]: Simplify (log (cbrt -1)) into (log (cbrt -1)) 6.409 * [backup-simplify]: Simplify (* 1/3 (log (cbrt -1))) into (* 1/3 (log (cbrt -1))) 6.411 * [backup-simplify]: Simplify (exp (* 1/3 (log (cbrt -1)))) into (pow (cbrt -1) 1/3) 6.411 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) in N 6.411 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 6.411 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 6.412 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 6.412 * [taylor]: Taking taylor expansion of 1/9 in N 6.412 * [backup-simplify]: Simplify 1/9 into 1/9 6.412 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.412 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.412 * [taylor]: Taking taylor expansion of N in N 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify 1 into 1 6.412 * [backup-simplify]: Simplify (/ 1 1) into 1 6.412 * [backup-simplify]: Simplify (log 1) into 0 6.413 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.413 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.413 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.413 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 6.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 6.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 6.413 * [taylor]: Taking taylor expansion of 1/3 in N 6.413 * [backup-simplify]: Simplify 1/3 into 1/3 6.413 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 6.413 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.413 * [taylor]: Taking taylor expansion of -1 in N 6.413 * [backup-simplify]: Simplify -1 into -1 6.414 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.415 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.416 * [backup-simplify]: Simplify (log (cbrt -1)) into (log (cbrt -1)) 6.417 * [backup-simplify]: Simplify (* 1/3 (log (cbrt -1))) into (* 1/3 (log (cbrt -1))) 6.419 * [backup-simplify]: Simplify (exp (* 1/3 (log (cbrt -1)))) into (pow (cbrt -1) 1/3) 6.421 * [backup-simplify]: Simplify (* (pow N -1/9) (pow (cbrt -1) 1/3)) into (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) 6.422 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) into (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) 6.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cbrt -1) 1)))) 1) into 0 6.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cbrt -1)))) into 0 6.427 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.430 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.431 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (- (log N)))) into 0 6.432 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.433 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (* 0 (pow (cbrt -1) 1/3))) into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cbrt -1) 1)))) 2) into 0 6.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cbrt -1))))) into 0 6.438 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.441 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.441 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.441 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.442 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.443 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3)))) into 0 6.443 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.447 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cbrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cbrt -1) 1)))) 6) into 0 6.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1)))))) into 0 6.450 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.461 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.462 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.463 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.464 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.464 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3))))) into 0 6.464 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.476 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cbrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cbrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cbrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cbrt -1) 1)))) 24) into 0 6.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1))))))) into 0 6.482 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.494 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.495 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.496 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.499 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.501 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3)))))) into 0 6.501 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.521 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cbrt -1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cbrt -1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cbrt -1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cbrt -1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cbrt -1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cbrt -1) 1)))) 120) into 0 6.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1)))))))) into 0 6.528 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.546 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.547 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.549 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.553 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.555 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3))))))) into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.580 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cbrt -1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cbrt -1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cbrt -1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cbrt -1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cbrt -1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cbrt -1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cbrt -1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cbrt -1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cbrt -1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cbrt -1) 1)))) 720) into 0 6.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1))))))))) into 0 6.586 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.608 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.609 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.612 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 6.618 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.620 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3)))))))) into 0 6.620 * [backup-simplify]: Simplify 0 into 0 6.622 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/9) (pow (cbrt -1) 1/3)) into (* (pow (* N -1) 1/9) (pow (cbrt -1) 1/3)) 6.622 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1) 6.622 * [backup-simplify]: Simplify (cbrt (cbrt N)) into (pow N 1/9) 6.622 * [approximate]: Taking taylor expansion of (pow N 1/9) in (N) around 0 6.622 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 6.622 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 6.622 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 6.622 * [taylor]: Taking taylor expansion of 1/9 in N 6.622 * [backup-simplify]: Simplify 1/9 into 1/9 6.622 * [taylor]: Taking taylor expansion of (log N) in N 6.622 * [taylor]: Taking taylor expansion of N in N 6.622 * [backup-simplify]: Simplify 0 into 0 6.622 * [backup-simplify]: Simplify 1 into 1 6.623 * [backup-simplify]: Simplify (log 1) into 0 6.623 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.623 * [backup-simplify]: Simplify (* 1/9 (log N)) into (* 1/9 (log N)) 6.623 * [backup-simplify]: Simplify (exp (* 1/9 (log N))) into (pow N 1/9) 6.623 * [taylor]: Taking taylor expansion of (pow N 1/9) in N 6.623 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log N))) in N 6.623 * [taylor]: Taking taylor expansion of (* 1/9 (log N)) in N 6.623 * [taylor]: Taking taylor expansion of 1/9 in N 6.623 * [backup-simplify]: Simplify 1/9 into 1/9 6.623 * [taylor]: Taking taylor expansion of (log N) in N 6.623 * [taylor]: Taking taylor expansion of N in N 6.623 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify 1 into 1 6.624 * [backup-simplify]: Simplify (log 1) into 0 6.624 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.624 * [backup-simplify]: Simplify (* 1/9 (log N)) into (* 1/9 (log N)) 6.625 * [backup-simplify]: Simplify (exp (* 1/9 (log N))) into (pow N 1/9) 6.625 * [backup-simplify]: Simplify (pow N 1/9) into (pow N 1/9) 6.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.627 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.627 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log N))) into 0 6.628 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.628 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.632 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.633 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log N)))) into 0 6.634 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.634 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.640 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.641 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 6.643 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.643 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.655 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.657 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 6.659 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.659 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.676 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.677 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 6.681 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.681 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.710 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.712 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 6.718 * [backup-simplify]: Simplify (* (exp (* 1/9 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.718 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify (pow N 1/9) into (pow N 1/9) 6.719 * [backup-simplify]: Simplify (cbrt (cbrt (/ 1 N))) into (pow (/ 1 N) 1/9) 6.719 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/9) in (N) around 0 6.719 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 6.719 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 6.719 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 6.719 * [taylor]: Taking taylor expansion of 1/9 in N 6.719 * [backup-simplify]: Simplify 1/9 into 1/9 6.719 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.719 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.719 * [taylor]: Taking taylor expansion of N in N 6.719 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify 1 into 1 6.720 * [backup-simplify]: Simplify (/ 1 1) into 1 6.720 * [backup-simplify]: Simplify (log 1) into 0 6.720 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.721 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.721 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.721 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 6.721 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 6.721 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 6.721 * [taylor]: Taking taylor expansion of 1/9 in N 6.721 * [backup-simplify]: Simplify 1/9 into 1/9 6.721 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.721 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.721 * [taylor]: Taking taylor expansion of N in N 6.721 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify 1 into 1 6.721 * [backup-simplify]: Simplify (/ 1 1) into 1 6.722 * [backup-simplify]: Simplify (log 1) into 0 6.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.722 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.722 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.723 * [backup-simplify]: Simplify (pow N -1/9) into (pow N -1/9) 6.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.725 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.726 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (- (log N)))) into 0 6.727 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.727 * [backup-simplify]: Simplify 0 into 0 6.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.734 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.735 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.735 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.736 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.736 * [backup-simplify]: Simplify 0 into 0 6.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.739 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.740 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.740 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.741 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.741 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.749 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.751 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.754 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.754 * [backup-simplify]: Simplify 0 into 0 6.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.772 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.773 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.775 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.779 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.779 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.811 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 6.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.815 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 6.822 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify (pow (/ 1 N) -1/9) into (pow (/ 1 N) -1/9) 6.823 * [backup-simplify]: Simplify (cbrt (cbrt (/ 1 (- N)))) into (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) 6.823 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) in (N) around 0 6.823 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) in N 6.823 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 6.823 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 6.823 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 6.823 * [taylor]: Taking taylor expansion of 1/9 in N 6.823 * [backup-simplify]: Simplify 1/9 into 1/9 6.823 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.823 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.823 * [taylor]: Taking taylor expansion of N in N 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify 1 into 1 6.824 * [backup-simplify]: Simplify (/ 1 1) into 1 6.824 * [backup-simplify]: Simplify (log 1) into 0 6.825 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.825 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.825 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.825 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 6.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 6.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 6.825 * [taylor]: Taking taylor expansion of 1/3 in N 6.825 * [backup-simplify]: Simplify 1/3 into 1/3 6.825 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 6.825 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.825 * [taylor]: Taking taylor expansion of -1 in N 6.825 * [backup-simplify]: Simplify -1 into -1 6.826 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.827 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.828 * [backup-simplify]: Simplify (log (cbrt -1)) into (log (cbrt -1)) 6.829 * [backup-simplify]: Simplify (* 1/3 (log (cbrt -1))) into (* 1/3 (log (cbrt -1))) 6.832 * [backup-simplify]: Simplify (exp (* 1/3 (log (cbrt -1)))) into (pow (cbrt -1) 1/3) 6.832 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) in N 6.832 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/9) in N 6.832 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 N)))) in N 6.832 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 N))) in N 6.832 * [taylor]: Taking taylor expansion of 1/9 in N 6.832 * [backup-simplify]: Simplify 1/9 into 1/9 6.832 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.832 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.832 * [taylor]: Taking taylor expansion of N in N 6.832 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify 1 into 1 6.833 * [backup-simplify]: Simplify (/ 1 1) into 1 6.833 * [backup-simplify]: Simplify (log 1) into 0 6.834 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.834 * [backup-simplify]: Simplify (* 1/9 (- (log N))) into (* -1/9 (log N)) 6.834 * [backup-simplify]: Simplify (exp (* -1/9 (log N))) into (pow N -1/9) 6.834 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 1/3) in N 6.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cbrt -1)))) in N 6.834 * [taylor]: Taking taylor expansion of (* 1/3 (log (cbrt -1))) in N 6.834 * [taylor]: Taking taylor expansion of 1/3 in N 6.834 * [backup-simplify]: Simplify 1/3 into 1/3 6.834 * [taylor]: Taking taylor expansion of (log (cbrt -1)) in N 6.834 * [taylor]: Taking taylor expansion of (cbrt -1) in N 6.834 * [taylor]: Taking taylor expansion of -1 in N 6.834 * [backup-simplify]: Simplify -1 into -1 6.835 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 6.835 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 6.836 * [backup-simplify]: Simplify (log (cbrt -1)) into (log (cbrt -1)) 6.838 * [backup-simplify]: Simplify (* 1/3 (log (cbrt -1))) into (* 1/3 (log (cbrt -1))) 6.841 * [backup-simplify]: Simplify (exp (* 1/3 (log (cbrt -1)))) into (pow (cbrt -1) 1/3) 6.843 * [backup-simplify]: Simplify (* (pow N -1/9) (pow (cbrt -1) 1/3)) into (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) 6.844 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) into (* (pow (/ 1 N) 1/9) (pow (cbrt -1) 1/3)) 6.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cbrt -1) 1)))) 1) into 0 6.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cbrt -1)))) into 0 6.849 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.853 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.853 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (- (log N)))) into 0 6.854 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 6.856 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (* 0 (pow (cbrt -1) 1/3))) into 0 6.856 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.861 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cbrt -1) 1)))) 2) into 0 6.862 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cbrt -1))))) into 0 6.865 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.869 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.870 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 6.872 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.873 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3)))) into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.887 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cbrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cbrt -1) 1)))) 6) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1)))))) into 0 6.892 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.899 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.900 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.901 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 6.903 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.905 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3))))) into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 6.920 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cbrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cbrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cbrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cbrt -1) 1)))) 24) into 0 6.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1))))))) into 0 6.927 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.940 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 6.941 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.943 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 6.945 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.947 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3)))))) into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 6.968 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cbrt -1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cbrt -1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cbrt -1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cbrt -1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cbrt -1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cbrt -1) 1)))) 120) into 0 6.970 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1)))))))) into 0 6.975 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.991 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 6.992 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.994 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 6.998 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.000 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3))))))) into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.033 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cbrt -1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cbrt -1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cbrt -1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cbrt -1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cbrt -1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cbrt -1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cbrt -1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cbrt -1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cbrt -1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cbrt -1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cbrt -1) 1)))) 720) into 0 7.035 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cbrt -1))))))))) into 0 7.044 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cbrt -1)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.062 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.062 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.064 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.067 * [backup-simplify]: Simplify (* (exp (* -1/9 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.068 * [backup-simplify]: Simplify (+ (* (pow N -1/9) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 1/3)))))))) into 0 7.068 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/9) (pow (cbrt -1) 1/3)) into (* (pow (* N -1) 1/9) (pow (cbrt -1) 1/3)) 7.069 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 7.069 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 7.069 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 7.069 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.069 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.069 * [taylor]: Taking taylor expansion of 1/3 in N 7.069 * [backup-simplify]: Simplify 1/3 into 1/3 7.069 * [taylor]: Taking taylor expansion of (log N) in N 7.069 * [taylor]: Taking taylor expansion of N in N 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.069 * [backup-simplify]: Simplify (log 1) into 0 7.070 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.070 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.070 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.070 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.070 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.070 * [taylor]: Taking taylor expansion of 1/3 in N 7.070 * [backup-simplify]: Simplify 1/3 into 1/3 7.070 * [taylor]: Taking taylor expansion of (log N) in N 7.070 * [taylor]: Taking taylor expansion of N in N 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (log 1) into 0 7.071 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.071 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.071 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.071 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.072 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 7.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.073 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.075 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.076 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.076 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.079 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.080 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 7.081 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.087 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.088 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 7.090 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.090 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.099 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.101 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 7.103 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.103 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.136 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 7.152 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.152 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.153 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 7.153 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 7.153 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.153 * [taylor]: Taking taylor expansion of 1/3 in N 7.153 * [backup-simplify]: Simplify 1/3 into 1/3 7.153 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.153 * [taylor]: Taking taylor expansion of N in N 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify 1 into 1 7.154 * [backup-simplify]: Simplify (/ 1 1) into 1 7.154 * [backup-simplify]: Simplify (log 1) into 0 7.155 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.155 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.155 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.155 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.155 * [taylor]: Taking taylor expansion of 1/3 in N 7.155 * [backup-simplify]: Simplify 1/3 into 1/3 7.155 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.155 * [taylor]: Taking taylor expansion of N in N 7.155 * [backup-simplify]: Simplify 0 into 0 7.155 * [backup-simplify]: Simplify 1 into 1 7.156 * [backup-simplify]: Simplify (/ 1 1) into 1 7.156 * [backup-simplify]: Simplify (log 1) into 0 7.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.157 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.157 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.157 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.159 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.160 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.163 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.164 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.164 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.168 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.170 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.170 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.180 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.183 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.194 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.194 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.195 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.197 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.197 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.214 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.215 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.217 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.223 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.223 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 7.224 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.224 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 7.224 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.224 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.224 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.224 * [taylor]: Taking taylor expansion of 1/3 in N 7.224 * [backup-simplify]: Simplify 1/3 into 1/3 7.224 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.224 * [taylor]: Taking taylor expansion of N in N 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [backup-simplify]: Simplify (/ 1 1) into 1 7.225 * [backup-simplify]: Simplify (log 1) into 0 7.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.226 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.226 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.226 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.226 * [taylor]: Taking taylor expansion of -1 in N 7.226 * [backup-simplify]: Simplify -1 into -1 7.226 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.227 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.227 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.227 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.227 * [taylor]: Taking taylor expansion of 1/3 in N 7.227 * [backup-simplify]: Simplify 1/3 into 1/3 7.227 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.227 * [taylor]: Taking taylor expansion of N in N 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 1 into 1 7.228 * [backup-simplify]: Simplify (/ 1 1) into 1 7.228 * [backup-simplify]: Simplify (log 1) into 0 7.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.229 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.229 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.229 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.229 * [taylor]: Taking taylor expansion of -1 in N 7.229 * [backup-simplify]: Simplify -1 into -1 7.229 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.230 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.231 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.231 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.235 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.236 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.242 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.245 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.246 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.255 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.257 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.258 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.562 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.563 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.567 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.569 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 7.569 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.589 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.590 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.592 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.596 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.597 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 7.597 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.632 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.633 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.636 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.641 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.643 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 7.643 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 7.644 * * * [progress]: simplifying candidates 7.646 * [simplify]: Simplifying: (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (* (cbrt N) (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt 1)) (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt 1) (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (* (cbrt N) (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt 1)) (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt 1) (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (* (cbrt N) (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt 1)) (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt 1) (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (pow (* N -1) 1/9) (pow (cbrt -1) 1/3)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (pow (* N -1) 1/9) (pow (cbrt -1) 1/3)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (pow (* N -1) 1/9) (pow (cbrt -1) 1/3)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) 7.647 * * [simplify]: iteration 0: 42 enodes 7.662 * * [simplify]: iteration 1: 77 enodes 7.680 * * [simplify]: iteration 2: 187 enodes 7.767 * * [simplify]: iteration 3: 644 enodes 8.140 * * [simplify]: iteration 4: 2270 enodes 8.880 * * [simplify]: iteration complete: 5000 enodes 8.880 * * [simplify]: Extracting #0: cost 24 inf + 0 8.880 * * [simplify]: Extracting #1: cost 220 inf + 4 8.882 * * [simplify]: Extracting #2: cost 758 inf + 149 8.885 * * [simplify]: Extracting #3: cost 1032 inf + 701 8.893 * * [simplify]: Extracting #4: cost 776 inf + 3347 8.897 * * [simplify]: Extracting #5: cost 156 inf + 8832 8.902 * * [simplify]: Extracting #6: cost 0 inf + 10533 8.906 * [simplify]: Simplified to: (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (pow N 2/3))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) 1 (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) 1 (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt N) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (pow N 2/3))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) 1 (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) 1 (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt N) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (log (cbrt (cbrt N))) (exp (cbrt (cbrt N))) (cbrt (cbrt (pow N 2/3))) (cbrt (cbrt (cbrt N))) (cbrt (cbrt (sqrt N))) (cbrt (cbrt (sqrt N))) 1 (cbrt (cbrt N)) (cbrt (* (cbrt (cbrt N)) (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt (sqrt (cbrt N))) (cbrt (sqrt (cbrt N))) 1 (cbrt (cbrt N)) (* (cbrt (cbrt (cbrt N))) (cbrt (cbrt (cbrt N)))) (cbrt (cbrt (cbrt N))) (cbrt N) (sqrt (cbrt (cbrt N))) (sqrt (cbrt (cbrt N))) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (cbrt (cbrt -1)) (pow (- N) 1/9)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (cbrt (cbrt -1)) (pow (- N) 1/9)) (pow N 1/9) (pow (/ 1 N) -1/9) (* (cbrt (cbrt -1)) (pow (- N) 1/9)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) 8.907 * * * [progress]: adding candidates to table 9.250 * [progress]: [Phase 3 of 3] Extracting. 9.250 * * [regime]: Finding splitpoints for: (# # # # # # # #) 9.251 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.251 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 9.294 * * * [regime]: Found split indices: #