28.389 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.055 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.055 * * [simplify]: iteration 0: 6 enodes 0.057 * * [simplify]: iteration 1: 9 enodes 0.059 * * [simplify]: iteration 2: 10 enodes 0.062 * * [simplify]: iteration complete: 10 enodes 0.062 * * [simplify]: Extracting #0: cost 1 inf + 0 0.062 * * [simplify]: Extracting #1: cost 4 inf + 0 0.062 * * [simplify]: Extracting #2: cost 6 inf + 0 0.062 * * [simplify]: Extracting #3: cost 6 inf + 1 0.062 * * [simplify]: Extracting #4: cost 0 inf + 735 0.062 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.067 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.080 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.080 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.080 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.081 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.081 * [taylor]: Taking taylor expansion of (atan N) in N 0.081 * [backup-simplify]: Simplify (atan N) into (atan N) 0.081 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.081 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.081 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.081 * [taylor]: Taking taylor expansion of (atan N) in N 0.081 * [backup-simplify]: Simplify (atan N) into (atan N) 0.082 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.082 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.082 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.085 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.085 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.085 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.085 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.085 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.085 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.085 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.085 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.085 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.085 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.085 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.086 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.086 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.086 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.089 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.089 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.089 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.089 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.089 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.089 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.089 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.089 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.089 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.089 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.090 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.090 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.093 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying: (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.094 * * [simplify]: iteration 0: 36 enodes 0.122 * * [simplify]: iteration 1: 73 enodes 0.152 * * [simplify]: iteration 2: 147 enodes 0.188 * * [simplify]: iteration 3: 281 enodes 0.262 * * [simplify]: iteration 4: 605 enodes 0.567 * * [simplify]: iteration 5: 1546 enodes 1.493 * * [simplify]: iteration complete: 5000 enodes 1.493 * * [simplify]: Extracting #0: cost 16 inf + 0 1.494 * * [simplify]: Extracting #1: cost 247 inf + 1 1.497 * * [simplify]: Extracting #2: cost 1115 inf + 3 1.502 * * [simplify]: Extracting #3: cost 1296 inf + 2135 1.518 * * [simplify]: Extracting #4: cost 1097 inf + 86558 1.628 * * [simplify]: Extracting #5: cost 356 inf + 492666 1.750 * * [simplify]: Extracting #6: cost 18 inf + 746347 1.866 * * [simplify]: Extracting #7: cost 0 inf + 757322 2.031 * * [simplify]: Extracting #8: cost 0 inf + 757060 2.146 * [simplify]: Simplified to: 1.0 (+ (* N (+ 1.0 N)) 1) (exp (- (atan (+ 1.0 N)) (atan N))) (log (- (atan (+ 1.0 N)) (atan N))) (exp (- (atan (+ 1.0 N)) (atan N))) (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N)))) (cbrt (- (atan (+ 1.0 N)) (atan N))) (* (- (atan (+ 1.0 N)) (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N))) (* (* (atan N) (atan N)) (atan N))) (+ (* (atan N) (atan N)) (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N))))) (- (atan N)) (- (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (* (atan N) (atan N))) (+ (atan N) (atan (+ 1.0 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1.0 N)))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) 2.147 * * * [progress]: adding candidates to table 2.249 * * [progress]: iteration 2 / 4 2.249 * * * [progress]: picking best candidate 2.257 * * * * [pick]: Picked # 2.257 * * * [progress]: localizing error 2.275 * * * [progress]: generating rewritten candidates 2.275 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.276 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.297 * * * [progress]: generating series expansions 2.297 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.297 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.297 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 2.297 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.297 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.297 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.297 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.297 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.298 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 2.298 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 2.298 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.298 * [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))) 2.298 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.298 * [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))) 2.299 * [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))) 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [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))) 2.299 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 2.299 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.299 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.299 * [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)))) 2.299 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.300 * [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)))) 2.300 * [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)))) 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.300 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.300 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.300 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.300 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.300 * [taylor]: Taking taylor expansion of N in N 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.300 * [taylor]: Taking taylor expansion of N in N 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [taylor]: Taking taylor expansion of 1.0 in N 2.300 * [backup-simplify]: Simplify 1.0 into 1.0 2.300 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.300 * [taylor]: Taking taylor expansion of N in N 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.300 * [taylor]: Taking taylor expansion of N in N 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [taylor]: Taking taylor expansion of 1.0 in N 2.301 * [backup-simplify]: Simplify 1.0 into 1.0 2.301 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.301 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (+ 1 0) into 1 2.303 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.303 * [backup-simplify]: Simplify 1.0 into 1.0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.303 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 2.311 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.311 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.311 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.311 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.311 * [taylor]: Taking taylor expansion of N in N 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (/ 1 1) into 1 2.311 * [taylor]: Taking taylor expansion of 1.0 in N 2.311 * [backup-simplify]: Simplify 1.0 into 1.0 2.311 * [taylor]: Taking taylor expansion of N in N 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (+ 1 0) into 1 2.312 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.312 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.312 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.312 * [taylor]: Taking taylor expansion of N in N 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [taylor]: Taking taylor expansion of 1.0 in N 2.312 * [backup-simplify]: Simplify 1.0 into 1.0 2.312 * [taylor]: Taking taylor expansion of N in N 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (+ 1 0) into 1 2.313 * [backup-simplify]: Simplify (/ 1 1) into 1 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.315 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.315 * [backup-simplify]: Simplify 1.0 into 1.0 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (+ 0 0) into 0 2.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (+ 0 0) into 0 2.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.325 * [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 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [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 2.326 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 2.327 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.327 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.327 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.327 * [taylor]: Taking taylor expansion of -1 in N 2.327 * [backup-simplify]: Simplify -1 into -1 2.327 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.327 * [taylor]: Taking taylor expansion of 1.0 in N 2.327 * [backup-simplify]: Simplify 1.0 into 1.0 2.327 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.327 * [taylor]: Taking taylor expansion of N in N 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (/ 1 1) into 1 2.327 * [taylor]: Taking taylor expansion of N in N 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [backup-simplify]: Simplify (- 1) into -1 2.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.329 * [backup-simplify]: Simplify (/ -1 1) into -1 2.329 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.329 * [taylor]: Taking taylor expansion of -1 in N 2.329 * [backup-simplify]: Simplify -1 into -1 2.329 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.329 * [taylor]: Taking taylor expansion of 1.0 in N 2.329 * [backup-simplify]: Simplify 1.0 into 1.0 2.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.329 * [taylor]: Taking taylor expansion of N in N 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (/ 1 1) into 1 2.329 * [taylor]: Taking taylor expansion of N in N 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (- 1) into -1 2.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.330 * [backup-simplify]: Simplify (/ -1 1) into -1 2.331 * [backup-simplify]: Simplify (* -1 -1) into 1 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (- 0) into 0 2.332 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.334 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.335 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.336 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (- 0) into 0 2.337 * [backup-simplify]: Simplify (+ 0 0) into 0 2.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (- 0) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (- 0) into 0 2.349 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.352 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (- 0) into 0 2.354 * [backup-simplify]: Simplify (+ 0 0) into 0 2.355 * [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 2.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (- 0) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [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 2.366 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.366 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 2.367 * * * [progress]: simplifying candidates 2.368 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) 2.369 * * [simplify]: iteration 0: 55 enodes 2.389 * * [simplify]: iteration 1: 126 enodes 2.452 * * [simplify]: iteration 2: 337 enodes 2.689 * * [simplify]: iteration 3: 1156 enodes 3.600 * * [simplify]: iteration complete: 5001 enodes 3.600 * * [simplify]: Extracting #0: cost 23 inf + 0 3.602 * * [simplify]: Extracting #1: cost 381 inf + 0 3.608 * * [simplify]: Extracting #2: cost 1323 inf + 652 3.632 * * [simplify]: Extracting #3: cost 1631 inf + 36860 3.674 * * [simplify]: Extracting #4: cost 465 inf + 247248 3.749 * * [simplify]: Extracting #5: cost 33 inf + 351026 3.841 * * [simplify]: Extracting #6: cost 2 inf + 356490 3.954 * * [simplify]: Extracting #7: cost 0 inf + 356996 4.035 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (exp (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0)))))) (cbrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* (* (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (sqrt (atan2 1.0 (+ 1 (* N (+ N 1.0))))) (* N (+ N 1.0)) (log (* N (+ N 1.0))) (log (* N (+ N 1.0))) (exp (* N (+ N 1.0))) (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0))) (* (cbrt (* N (+ N 1.0))) (cbrt (* N (+ N 1.0)))) (cbrt (* N (+ N 1.0))) (* (* (* N (+ N 1.0)) (* N (+ N 1.0))) (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (sqrt (* N (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (sqrt N) (sqrt (+ N 1.0))) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (sqrt N) (+ N 1.0)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* N (+ N 1.0)) (* N (+ N 1.0)) (+ (* (* N N) (* N N)) (* (* N 1.0) (* 1.0 1.0))) (* (- N 1.0) (* N (+ N 1.0))) (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N)))) (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N)))) (atan2 1.0 (+ 1 (+ (* N N) (* 1.0 N)))) (+ (* N N) (* 1.0 N)) (+ (* N N) (* 1.0 N)) (+ (* N N) (* 1.0 N)) 4.036 * * * [progress]: adding candidates to table 4.174 * * [progress]: iteration 3 / 4 4.175 * * * [progress]: picking best candidate 4.196 * * * * [pick]: Picked # 4.196 * * * [progress]: localizing error 4.225 * * * [progress]: generating rewritten candidates 4.225 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.244 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 4.256 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 4.268 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.306 * * * [progress]: generating series expansions 4.306 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.306 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.306 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.306 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.307 * [taylor]: Taking taylor expansion of 1/3 in N 4.307 * [backup-simplify]: Simplify 1/3 into 1/3 4.307 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.307 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.307 * [taylor]: Taking taylor expansion of N in N 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.307 * [taylor]: Taking taylor expansion of N in N 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [taylor]: Taking taylor expansion of 1.0 in N 4.307 * [backup-simplify]: Simplify 1.0 into 1.0 4.308 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.308 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.309 * [backup-simplify]: Simplify (+ 1 0) into 1 4.310 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.310 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.311 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.312 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.312 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.312 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.312 * [taylor]: Taking taylor expansion of 1/3 in N 4.312 * [backup-simplify]: Simplify 1/3 into 1/3 4.312 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.312 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.313 * [taylor]: Taking taylor expansion of N in N 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.313 * [taylor]: Taking taylor expansion of N in N 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of 1.0 in N 4.313 * [backup-simplify]: Simplify 1.0 into 1.0 4.313 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.314 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.314 * [backup-simplify]: Simplify (+ 1 0) into 1 4.315 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.315 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.316 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.316 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.316 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.317 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.317 * [backup-simplify]: Simplify (+ 0 0) into 0 4.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.321 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.322 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.323 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.324 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.324 * [backup-simplify]: Simplify (+ 0 0) into 0 4.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.331 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.332 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.339 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.341 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.344 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.344 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.345 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.345 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.345 * [taylor]: Taking taylor expansion of 1/3 in N 4.345 * [backup-simplify]: Simplify 1/3 into 1/3 4.345 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.345 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.345 * [taylor]: Taking taylor expansion of N in N 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [backup-simplify]: Simplify (/ 1 1) into 1 4.345 * [taylor]: Taking taylor expansion of 1.0 in N 4.345 * [backup-simplify]: Simplify 1.0 into 1.0 4.345 * [taylor]: Taking taylor expansion of N in N 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (+ 1 0) into 1 4.346 * [backup-simplify]: Simplify (/ 1 1) into 1 4.347 * [backup-simplify]: Simplify (log 1) into 0 4.350 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.350 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.350 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.350 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.350 * [taylor]: Taking taylor expansion of 1/3 in N 4.350 * [backup-simplify]: Simplify 1/3 into 1/3 4.350 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.350 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.350 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.351 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.351 * [taylor]: Taking taylor expansion of N in N 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.351 * [backup-simplify]: Simplify (/ 1 1) into 1 4.351 * [taylor]: Taking taylor expansion of 1.0 in N 4.351 * [backup-simplify]: Simplify 1.0 into 1.0 4.351 * [taylor]: Taking taylor expansion of N in N 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (+ 1 0) into 1 4.352 * [backup-simplify]: Simplify (/ 1 1) into 1 4.352 * [backup-simplify]: Simplify (log 1) into 0 4.353 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.353 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.353 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.353 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.357 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.363 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.364 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.366 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.367 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (+ 0 0) into 0 4.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.381 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.382 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.387 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.387 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.388 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.389 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 4.389 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 4.389 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.389 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.389 * [taylor]: Taking taylor expansion of 1/3 in N 4.389 * [backup-simplify]: Simplify 1/3 into 1/3 4.389 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.389 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.389 * [taylor]: Taking taylor expansion of 1.0 in N 4.389 * [backup-simplify]: Simplify 1.0 into 1.0 4.389 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.389 * [taylor]: Taking taylor expansion of N in N 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [taylor]: Taking taylor expansion of N in N 4.389 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [backup-simplify]: Simplify (- 1) into -1 4.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.391 * [backup-simplify]: Simplify (/ -1 1) into -1 4.391 * [backup-simplify]: Simplify (log -1) into (log -1) 4.392 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.392 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.393 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.393 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.393 * [taylor]: Taking taylor expansion of -1 in N 4.393 * [backup-simplify]: Simplify -1 into -1 4.394 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.394 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.395 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.395 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.395 * [taylor]: Taking taylor expansion of 1/3 in N 4.395 * [backup-simplify]: Simplify 1/3 into 1/3 4.395 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.395 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.395 * [taylor]: Taking taylor expansion of 1.0 in N 4.395 * [backup-simplify]: Simplify 1.0 into 1.0 4.395 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.395 * [taylor]: Taking taylor expansion of N in N 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [backup-simplify]: Simplify (/ 1 1) into 1 4.395 * [taylor]: Taking taylor expansion of N in N 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.396 * [backup-simplify]: Simplify (- 1) into -1 4.396 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.397 * [backup-simplify]: Simplify (/ -1 1) into -1 4.397 * [backup-simplify]: Simplify (log -1) into (log -1) 4.398 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.398 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.399 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.399 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.399 * [taylor]: Taking taylor expansion of -1 in N 4.399 * [backup-simplify]: Simplify -1 into -1 4.399 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.400 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.401 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.402 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (- 0) into 0 4.404 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.406 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.414 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.414 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.418 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.420 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.421 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.424 * [backup-simplify]: Simplify (- 0) into 0 4.424 * [backup-simplify]: Simplify (+ 0 0) into 0 4.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.438 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.439 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.446 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.448 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.449 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.452 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.452 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 4.452 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.452 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.453 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.453 * [taylor]: Taking taylor expansion of 1/3 in N 4.453 * [backup-simplify]: Simplify 1/3 into 1/3 4.453 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.453 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.453 * [taylor]: Taking taylor expansion of N in N 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify 1 into 1 4.453 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.453 * [taylor]: Taking taylor expansion of N in N 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify 1 into 1 4.453 * [taylor]: Taking taylor expansion of 1.0 in N 4.453 * [backup-simplify]: Simplify 1.0 into 1.0 4.453 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.453 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.454 * [backup-simplify]: Simplify (+ 1 0) into 1 4.454 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.455 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.455 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.455 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.456 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.456 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.456 * [taylor]: Taking taylor expansion of 1/3 in N 4.456 * [backup-simplify]: Simplify 1/3 into 1/3 4.456 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.456 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.456 * [taylor]: Taking taylor expansion of N in N 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.456 * [taylor]: Taking taylor expansion of N in N 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [taylor]: Taking taylor expansion of 1.0 in N 4.456 * [backup-simplify]: Simplify 1.0 into 1.0 4.456 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.457 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.457 * [backup-simplify]: Simplify (+ 1 0) into 1 4.458 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.458 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.458 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.459 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.459 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.459 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.460 * [backup-simplify]: Simplify (+ 0 0) into 0 4.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.464 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.464 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.466 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.466 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.467 * [backup-simplify]: Simplify (+ 0 0) into 0 4.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.475 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.477 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.484 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.486 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.489 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.489 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.489 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.489 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.489 * [taylor]: Taking taylor expansion of 1/3 in N 4.489 * [backup-simplify]: Simplify 1/3 into 1/3 4.489 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.489 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.489 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.489 * [taylor]: Taking taylor expansion of N in N 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (/ 1 1) into 1 4.490 * [taylor]: Taking taylor expansion of 1.0 in N 4.490 * [backup-simplify]: Simplify 1.0 into 1.0 4.490 * [taylor]: Taking taylor expansion of N in N 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (+ 1 0) into 1 4.490 * [backup-simplify]: Simplify (/ 1 1) into 1 4.490 * [backup-simplify]: Simplify (log 1) into 0 4.491 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.491 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.491 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.491 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.491 * [taylor]: Taking taylor expansion of 1/3 in N 4.491 * [backup-simplify]: Simplify 1/3 into 1/3 4.491 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.491 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.491 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.491 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.491 * [taylor]: Taking taylor expansion of N in N 4.491 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify 1 into 1 4.491 * [backup-simplify]: Simplify (/ 1 1) into 1 4.491 * [taylor]: Taking taylor expansion of 1.0 in N 4.491 * [backup-simplify]: Simplify 1.0 into 1.0 4.491 * [taylor]: Taking taylor expansion of N in N 4.491 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify 1 into 1 4.492 * [backup-simplify]: Simplify (+ 1 0) into 1 4.492 * [backup-simplify]: Simplify (/ 1 1) into 1 4.492 * [backup-simplify]: Simplify (log 1) into 0 4.492 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.493 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.493 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.493 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.494 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.495 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.502 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.503 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.505 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.506 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.507 * [backup-simplify]: Simplify (+ 0 0) into 0 4.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.522 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.523 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.529 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.529 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.530 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.530 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 4.530 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 4.530 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.530 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.530 * [taylor]: Taking taylor expansion of 1/3 in N 4.530 * [backup-simplify]: Simplify 1/3 into 1/3 4.530 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.530 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.531 * [taylor]: Taking taylor expansion of 1.0 in N 4.531 * [backup-simplify]: Simplify 1.0 into 1.0 4.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.531 * [taylor]: Taking taylor expansion of N in N 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [backup-simplify]: Simplify (/ 1 1) into 1 4.531 * [taylor]: Taking taylor expansion of N in N 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.532 * [backup-simplify]: Simplify (- 1) into -1 4.532 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.532 * [backup-simplify]: Simplify (/ -1 1) into -1 4.533 * [backup-simplify]: Simplify (log -1) into (log -1) 4.534 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.534 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.535 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.535 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.535 * [taylor]: Taking taylor expansion of -1 in N 4.535 * [backup-simplify]: Simplify -1 into -1 4.535 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.536 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.536 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.536 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.536 * [taylor]: Taking taylor expansion of 1/3 in N 4.536 * [backup-simplify]: Simplify 1/3 into 1/3 4.536 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.536 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.536 * [taylor]: Taking taylor expansion of 1.0 in N 4.536 * [backup-simplify]: Simplify 1.0 into 1.0 4.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.536 * [taylor]: Taking taylor expansion of N in N 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 1 into 1 4.537 * [backup-simplify]: Simplify (/ 1 1) into 1 4.537 * [taylor]: Taking taylor expansion of N in N 4.537 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify 1 into 1 4.537 * [backup-simplify]: Simplify (- 1) into -1 4.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.538 * [backup-simplify]: Simplify (/ -1 1) into -1 4.538 * [backup-simplify]: Simplify (log -1) into (log -1) 4.540 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.540 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.541 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.541 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.541 * [taylor]: Taking taylor expansion of -1 in N 4.541 * [backup-simplify]: Simplify -1 into -1 4.541 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.542 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.543 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.544 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.545 * [backup-simplify]: Simplify (- 0) into 0 4.545 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.548 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.555 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.556 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.560 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.561 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.562 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.565 * [backup-simplify]: Simplify (- 0) into 0 4.566 * [backup-simplify]: Simplify (+ 0 0) into 0 4.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.579 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.580 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.588 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.591 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.592 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.596 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.596 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 4.596 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 4.596 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 4.596 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.597 * [taylor]: Taking taylor expansion of 1/3 in N 4.597 * [backup-simplify]: Simplify 1/3 into 1/3 4.597 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.597 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.597 * [taylor]: Taking taylor expansion of N in N 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.597 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.597 * [taylor]: Taking taylor expansion of N in N 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.597 * [taylor]: Taking taylor expansion of 1.0 in N 4.597 * [backup-simplify]: Simplify 1.0 into 1.0 4.597 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.598 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.598 * [backup-simplify]: Simplify (+ 1 0) into 1 4.600 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.600 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.601 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.601 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.602 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.602 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 4.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 4.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 4.602 * [taylor]: Taking taylor expansion of 1/3 in N 4.602 * [backup-simplify]: Simplify 1/3 into 1/3 4.602 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 4.602 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 4.602 * [taylor]: Taking taylor expansion of N in N 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 1 into 1 4.602 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.602 * [taylor]: Taking taylor expansion of N in N 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 1 into 1 4.602 * [taylor]: Taking taylor expansion of 1.0 in N 4.602 * [backup-simplify]: Simplify 1.0 into 1.0 4.603 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.603 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.604 * [backup-simplify]: Simplify (+ 1 0) into 1 4.605 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 4.605 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.606 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.609 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 4.610 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.610 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 4.611 * [backup-simplify]: Simplify (+ 0 0) into 0 4.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.618 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.619 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 4.622 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.622 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 4.623 * [backup-simplify]: Simplify (+ 0 0) into 0 4.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 4.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.635 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 4.637 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.643 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.645 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.648 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 4.648 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 4.648 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 4.648 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.648 * [taylor]: Taking taylor expansion of 1/3 in N 4.648 * [backup-simplify]: Simplify 1/3 into 1/3 4.648 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.648 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.648 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.648 * [taylor]: Taking taylor expansion of N in N 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify (/ 1 1) into 1 4.648 * [taylor]: Taking taylor expansion of 1.0 in N 4.648 * [backup-simplify]: Simplify 1.0 into 1.0 4.648 * [taylor]: Taking taylor expansion of N in N 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.649 * [backup-simplify]: Simplify (+ 1 0) into 1 4.649 * [backup-simplify]: Simplify (/ 1 1) into 1 4.649 * [backup-simplify]: Simplify (log 1) into 0 4.649 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.649 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.649 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.650 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 4.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 4.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 4.650 * [taylor]: Taking taylor expansion of 1/3 in N 4.650 * [backup-simplify]: Simplify 1/3 into 1/3 4.650 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 4.650 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 4.650 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.650 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.650 * [taylor]: Taking taylor expansion of N in N 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify (/ 1 1) into 1 4.650 * [taylor]: Taking taylor expansion of 1.0 in N 4.650 * [backup-simplify]: Simplify 1.0 into 1.0 4.650 * [taylor]: Taking taylor expansion of N in N 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify (+ 1 0) into 1 4.651 * [backup-simplify]: Simplify (/ 1 1) into 1 4.651 * [backup-simplify]: Simplify (log 1) into 0 4.651 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.651 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.651 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.651 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.653 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 4.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.657 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.657 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 4.659 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.659 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (+ 0 0) into 0 4.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.670 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.671 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 4.676 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.676 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 4.677 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 4.677 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 4.677 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 4.677 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.677 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.678 * [taylor]: Taking taylor expansion of 1/3 in N 4.678 * [backup-simplify]: Simplify 1/3 into 1/3 4.678 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.678 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.678 * [taylor]: Taking taylor expansion of 1.0 in N 4.678 * [backup-simplify]: Simplify 1.0 into 1.0 4.678 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.678 * [taylor]: Taking taylor expansion of N in N 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [backup-simplify]: Simplify (/ 1 1) into 1 4.678 * [taylor]: Taking taylor expansion of N in N 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify (- 1) into -1 4.679 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.679 * [backup-simplify]: Simplify (/ -1 1) into -1 4.680 * [backup-simplify]: Simplify (log -1) into (log -1) 4.681 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.681 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.682 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.682 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.682 * [taylor]: Taking taylor expansion of -1 in N 4.682 * [backup-simplify]: Simplify -1 into -1 4.683 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.683 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.683 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 4.683 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 4.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 4.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 4.683 * [taylor]: Taking taylor expansion of 1/3 in N 4.684 * [backup-simplify]: Simplify 1/3 into 1/3 4.684 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 4.684 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 4.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.684 * [taylor]: Taking taylor expansion of 1.0 in N 4.684 * [backup-simplify]: Simplify 1.0 into 1.0 4.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.684 * [taylor]: Taking taylor expansion of N in N 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify (/ 1 1) into 1 4.684 * [taylor]: Taking taylor expansion of N in N 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (- 1) into -1 4.685 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.686 * [backup-simplify]: Simplify (/ -1 1) into -1 4.686 * [backup-simplify]: Simplify (log -1) into (log -1) 4.687 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.687 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 4.688 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 4.688 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.688 * [taylor]: Taking taylor expansion of -1 in N 4.688 * [backup-simplify]: Simplify -1 into -1 4.688 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.689 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.690 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.691 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (- 0) into 0 4.693 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.695 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 4.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 4.704 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.704 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 4.708 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.710 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.711 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (- 0) into 0 4.714 * [backup-simplify]: Simplify (+ 0 0) into 0 4.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 4.728 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 4.732 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 4.739 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 4.740 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.741 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 4.743 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 4.744 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.744 * [backup-simplify]: Simplify (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) into (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) 4.744 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 4.744 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.744 * [taylor]: Taking taylor expansion of 1/3 in N 4.744 * [backup-simplify]: Simplify 1/3 into 1/3 4.744 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.744 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.744 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.744 * [taylor]: Taking taylor expansion of N in N 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 1 into 1 4.744 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.744 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.744 * [taylor]: Taking taylor expansion of N in N 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 1 into 1 4.744 * [taylor]: Taking taylor expansion of 1.0 in N 4.744 * [backup-simplify]: Simplify 1.0 into 1.0 4.744 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.745 * [backup-simplify]: Simplify (* 1 1) into 1 4.745 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.745 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.745 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.746 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.746 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.746 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.747 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 4.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 4.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 4.747 * [taylor]: Taking taylor expansion of 1/3 in N 4.747 * [backup-simplify]: Simplify 1/3 into 1/3 4.747 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 4.747 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 4.747 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.747 * [taylor]: Taking taylor expansion of N in N 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 4.747 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.747 * [taylor]: Taking taylor expansion of N in N 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [taylor]: Taking taylor expansion of 1.0 in N 4.747 * [backup-simplify]: Simplify 1.0 into 1.0 4.747 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.747 * [backup-simplify]: Simplify (* 1 1) into 1 4.748 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 4.748 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 4.748 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.749 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.749 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 4.749 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.750 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 4.750 * [backup-simplify]: Simplify (+ 1 0) into 1 4.751 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 4.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.752 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 4.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 4.756 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.757 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 4.759 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 4.759 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) into (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) 4.759 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.761 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 4.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 4.774 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.781 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (+ (log 1.0) (* 2 (log N)))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 4.794 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 4.797 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) 4.803 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (+ (log 1.0) (* 2 (log N)))))) N) (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) N)) (* 0.5555555555555556 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2))))) (* 0.6666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2)) (pow 1.0 2)))) 4.803 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) 4.803 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 4.803 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.803 * [taylor]: Taking taylor expansion of 1/3 in N 4.803 * [backup-simplify]: Simplify 1/3 into 1/3 4.803 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.803 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.803 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.803 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.803 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.804 * [taylor]: Taking taylor expansion of N in N 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify (/ 1 1) into 1 4.804 * [taylor]: Taking taylor expansion of 1.0 in N 4.804 * [backup-simplify]: Simplify 1.0 into 1.0 4.805 * [backup-simplify]: Simplify (+ 1 0) into 1 4.805 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.805 * [taylor]: Taking taylor expansion of N in N 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (* 1 1) into 1 4.806 * [backup-simplify]: Simplify (* 1 1) into 1 4.806 * [backup-simplify]: Simplify (/ 1 1) into 1 4.806 * [backup-simplify]: Simplify (log 1) into 0 4.807 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.807 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.807 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.807 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.807 * [taylor]: Taking taylor expansion of 1/3 in N 4.807 * [backup-simplify]: Simplify 1/3 into 1/3 4.807 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.807 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.808 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.808 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.808 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.808 * [taylor]: Taking taylor expansion of N in N 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 1 into 1 4.808 * [backup-simplify]: Simplify (/ 1 1) into 1 4.808 * [taylor]: Taking taylor expansion of 1.0 in N 4.808 * [backup-simplify]: Simplify 1.0 into 1.0 4.809 * [backup-simplify]: Simplify (+ 1 0) into 1 4.809 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.809 * [taylor]: Taking taylor expansion of N in N 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.809 * [backup-simplify]: Simplify (* 1 1) into 1 4.810 * [backup-simplify]: Simplify (* 1 1) into 1 4.810 * [backup-simplify]: Simplify (/ 1 1) into 1 4.811 * [backup-simplify]: Simplify (log 1) into 0 4.812 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.812 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.812 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.812 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.814 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.815 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 4.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.818 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 4.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 4.825 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.826 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 4.828 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.829 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.830 * [backup-simplify]: Simplify (+ 0 0) into 0 4.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 4.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.836 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 4.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 4.852 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.852 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 4.860 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 4.860 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 4.861 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) 4.862 * [backup-simplify]: Simplify (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) 4.862 * [approximate]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 4.862 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.862 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 4.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 4.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 4.862 * [taylor]: Taking taylor expansion of 1/3 in N 4.862 * [backup-simplify]: Simplify 1/3 into 1/3 4.862 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 4.862 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 4.862 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 4.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.862 * [taylor]: Taking taylor expansion of 1.0 in N 4.862 * [backup-simplify]: Simplify 1.0 into 1.0 4.862 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.862 * [taylor]: Taking taylor expansion of N in N 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify (/ 1 1) into 1 4.863 * [backup-simplify]: Simplify (- 1) into -1 4.864 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.864 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.864 * [taylor]: Taking taylor expansion of N in N 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (* -1 -1) into 1 4.864 * [backup-simplify]: Simplify (* 1 1) into 1 4.865 * [backup-simplify]: Simplify (/ 1 1) into 1 4.865 * [backup-simplify]: Simplify (log 1) into 0 4.866 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.866 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.866 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.866 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.866 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.866 * [taylor]: Taking taylor expansion of -1 in N 4.866 * [backup-simplify]: Simplify -1 into -1 4.866 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.867 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.867 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.867 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 4.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 4.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 4.867 * [taylor]: Taking taylor expansion of 1/3 in N 4.867 * [backup-simplify]: Simplify 1/3 into 1/3 4.867 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 4.867 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 4.867 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 4.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.867 * [taylor]: Taking taylor expansion of 1.0 in N 4.867 * [backup-simplify]: Simplify 1.0 into 1.0 4.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.868 * [taylor]: Taking taylor expansion of N in N 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (/ 1 1) into 1 4.869 * [backup-simplify]: Simplify (- 1) into -1 4.869 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.869 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.869 * [taylor]: Taking taylor expansion of N in N 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (* -1 -1) into 1 4.870 * [backup-simplify]: Simplify (* 1 1) into 1 4.870 * [backup-simplify]: Simplify (/ 1 1) into 1 4.871 * [backup-simplify]: Simplify (log 1) into 0 4.871 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.871 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.871 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.871 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.871 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.871 * [taylor]: Taking taylor expansion of -1 in N 4.871 * [backup-simplify]: Simplify -1 into -1 4.872 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.873 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.874 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 4.875 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) 4.876 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) 4.877 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (- 0) into 0 4.879 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.880 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 4.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.883 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 4.891 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 4.891 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.892 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 4.895 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.897 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (* (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2))) into (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 4.898 * [backup-simplify]: Simplify (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 0.6666666666666666 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 4.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.901 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.902 * [backup-simplify]: Simplify (- 0) into 0 4.903 * [backup-simplify]: Simplify (+ 0 0) into 0 4.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.909 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 4.925 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 4.925 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.926 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 4.932 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 4.935 * [backup-simplify]: Simplify (+ (* (pow N -4/3) 0) (+ (* (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 0) (* (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) (pow (cbrt -1) 2)))) into (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 4.936 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) into (- (* 0.1111111111111111 (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)))) 4.942 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.6666666666666666 (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) (/ 1 (- N))) (* (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) (pow (cbrt -1) 2)))) into (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 0.6666666666666666 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 0.1111111111111111 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)))) 4.942 * * * [progress]: simplifying candidates 4.944 * [simplify]: Simplifying: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (+ 1/3 1/3) (+ 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (+ 1 1) (+ (log (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N)))) (log (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (exp (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (sqrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)) (* (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 1 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N)))) (* 2 1/3) (* 2 1) (* (cbrt (* (+ N 1.0) N)) (cbrt (+ N 1.0))) (* (cbrt (* (+ N 1.0) N)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N))))) (* (cbrt (* (+ N 1.0) N)) (sqrt (cbrt (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) 1) (* (cbrt N) (cbrt (* (+ N 1.0) N))) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (sqrt (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) N)) (* 0.5555555555555556 (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2))))) (* 0.6666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.6666666666666666 (pow N 1/3)) (pow (/ 1 N) -4/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* (pow (pow N 4) 1/3) (pow (cbrt -1) 2)) (* 0.6666666666666666 (* (pow N 1/3) (pow (cbrt -1) 2)))) (* 0.1111111111111111 (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)))) 4.948 * * [simplify]: iteration 0: 152 enodes 4.995 * * [simplify]: iteration 1: 378 enodes 5.164 * * [simplify]: iteration 2: 991 enodes 5.612 * * [simplify]: iteration 3: 2865 enodes 6.350 * * [simplify]: iteration complete: 5001 enodes 6.351 * * [simplify]: Extracting #0: cost 44 inf + 0 6.351 * * [simplify]: Extracting #1: cost 294 inf + 3 6.354 * * [simplify]: Extracting #2: cost 863 inf + 1629 6.359 * * [simplify]: Extracting #3: cost 1431 inf + 8952 6.372 * * [simplify]: Extracting #4: cost 1226 inf + 74156 6.413 * * [simplify]: Extracting #5: cost 718 inf + 237510 6.476 * * [simplify]: Extracting #6: cost 241 inf + 415132 6.577 * * [simplify]: Extracting #7: cost 121 inf + 455216 6.690 * * [simplify]: Extracting #8: cost 45 inf + 498877 6.772 * * [simplify]: Extracting #9: cost 2 inf + 522222 6.861 * * [simplify]: Extracting #10: cost 0 inf + 519331 6.950 * * [simplify]: Extracting #11: cost 0 inf + 518541 7.045 * [simplify]: Simplified to: (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) 2/3 2 (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) 2 (log (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (log (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (exp (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (* (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) (fabs (cbrt (* N (+ 1.0 N)))) (fabs (cbrt (* N (+ 1.0 N)))) (* (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N))))) (* (cbrt (+ (* (- 1.0 N) 1.0) (* N N))) (cbrt (+ (* (- 1.0 N) 1.0) (* N N)))) (* (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* (- 1.0 N) 1.0) (* N N)))) (* (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (+ (* (- 1.0 N) 1.0) (* N N)))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)) (* (cbrt (* N (+ 1.0 N))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))) 1 (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))) 2/3 2 (* (cbrt (* N (+ 1.0 N))) (cbrt (+ 1.0 N))) (* (cbrt (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (cbrt (* N (+ 1.0 N)))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))) (* (cbrt N) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (cbrt (* N (+ 1.0 N))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N)))) (* (cbrt (+ (* N N) (* N 1.0))) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ (* N N) (* N 1.0)))) (* (cbrt (+ (* N N) (* N 1.0))) (cbrt (+ (* (* N 1.0) (* 1.0 1.0)) (* (* N N) (* N N))))) (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (+ (* N N) (* N 1.0)))) (- (* (* (cbrt N) (cbrt 1.0)) (+ (* N 0.3333333333333333) (* 0.05555555555555555 (* N N)))) (- (* 1/6 (* (/ (cbrt N) (/ 1.0 N)) (/ (cbrt 1.0) (/ 1.0 N)))) (* (cbrt N) (cbrt 1.0)))) (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (- (* (cbrt -1) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))) (* (* 0.1111111111111111 (/ (cbrt -1) (* N N))) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N)))))))) (/ 0.3333333333333333 (/ (/ N (cbrt -1)) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))))) (- (* (* (cbrt N) (cbrt 1.0)) (+ (* N 0.3333333333333333) (* 0.05555555555555555 (* N N)))) (- (* 1/6 (* (/ (cbrt N) (/ 1.0 N)) (/ (cbrt 1.0) (/ 1.0 N)))) (* (cbrt N) (cbrt 1.0)))) (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (- (* (cbrt -1) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))) (* (* 0.1111111111111111 (/ (cbrt -1) (* N N))) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N)))))))) (/ 0.3333333333333333 (/ (/ N (cbrt -1)) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))))) (- (* (* (cbrt N) (cbrt 1.0)) (+ (* N 0.3333333333333333) (* 0.05555555555555555 (* N N)))) (- (* 1/6 (* (/ (cbrt N) (/ 1.0 N)) (/ (cbrt 1.0) (/ 1.0 N)))) (* (cbrt N) (cbrt 1.0)))) (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N)))))) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (- (* (cbrt -1) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))) (* (* 0.1111111111111111 (/ (cbrt -1) (* N N))) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N)))))))) (/ 0.3333333333333333 (/ (/ N (cbrt -1)) (exp (* 1/3 (- (log -1) (+ (- (log -1) (log N)) (- (log -1) (log N))))))))) (- (* (cbrt (* (* N N) 1.0)) (+ (* 0.6666666666666666 N) (* 0.5555555555555556 (* N N)))) (- (/ (* (cbrt (* (* N N) 1.0)) 0.6666666666666666) (* (/ 1.0 N) (/ 1.0 N))) (cbrt (* (* N N) 1.0)))) (- (+ (pow (/ 1 N) -4/3) (* (cbrt N) 0.6666666666666666)) (* 0.1111111111111111 (cbrt (/ 1 (* N N))))) (* (* (cbrt -1) (cbrt -1)) (+ (cbrt (* (* N N) (* N N))) (- (* (cbrt N) 0.6666666666666666) (* 0.1111111111111111 (cbrt (/ 1 (* N N))))))) 7.054 * * * [progress]: adding candidates to table 7.492 * * [progress]: iteration 4 / 4 7.492 * * * [progress]: picking best candidate 7.505 * * * * [pick]: Picked # 7.505 * * * [progress]: localizing error 7.551 * * * [progress]: generating rewritten candidates 7.551 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 7.614 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2) 7.622 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2) 7.628 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1) 7.638 * * * [progress]: generating series expansions 7.638 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 7.639 * [backup-simplify]: Simplify (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))) into (pow (* N (+ N 1.0)) 1/3) 7.639 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.639 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.639 * [taylor]: Taking taylor expansion of 1/3 in N 7.639 * [backup-simplify]: Simplify 1/3 into 1/3 7.639 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.639 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.639 * [taylor]: Taking taylor expansion of N in N 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.639 * [taylor]: Taking taylor expansion of N in N 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [taylor]: Taking taylor expansion of 1.0 in N 7.639 * [backup-simplify]: Simplify 1.0 into 1.0 7.639 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.640 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.640 * [backup-simplify]: Simplify (+ 1 0) into 1 7.641 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.641 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.642 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.642 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.642 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.642 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.642 * [taylor]: Taking taylor expansion of 1/3 in N 7.642 * [backup-simplify]: Simplify 1/3 into 1/3 7.642 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.642 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.642 * [taylor]: Taking taylor expansion of N in N 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.642 * [taylor]: Taking taylor expansion of N in N 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [taylor]: Taking taylor expansion of 1.0 in N 7.642 * [backup-simplify]: Simplify 1.0 into 1.0 7.643 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.643 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.643 * [backup-simplify]: Simplify (+ 1 0) into 1 7.644 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.644 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.645 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.645 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.645 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.646 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.646 * [backup-simplify]: Simplify (+ 0 0) into 0 7.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.650 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.651 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.652 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.652 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.653 * [backup-simplify]: Simplify (+ 0 0) into 0 7.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.659 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.660 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.661 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.667 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.669 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.672 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 7.672 * [backup-simplify]: Simplify (cbrt (* (* (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N)))) (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.672 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.672 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.673 * [taylor]: Taking taylor expansion of 1/3 in N 7.673 * [backup-simplify]: Simplify 1/3 into 1/3 7.673 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.673 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.673 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.673 * [taylor]: Taking taylor expansion of N in N 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify 1 into 1 7.673 * [backup-simplify]: Simplify (/ 1 1) into 1 7.673 * [taylor]: Taking taylor expansion of 1.0 in N 7.673 * [backup-simplify]: Simplify 1.0 into 1.0 7.673 * [taylor]: Taking taylor expansion of N in N 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify 1 into 1 7.673 * [backup-simplify]: Simplify (+ 1 0) into 1 7.673 * [backup-simplify]: Simplify (/ 1 1) into 1 7.674 * [backup-simplify]: Simplify (log 1) into 0 7.674 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.674 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.674 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.674 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.674 * [taylor]: Taking taylor expansion of 1/3 in N 7.674 * [backup-simplify]: Simplify 1/3 into 1/3 7.674 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.674 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.674 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.674 * [taylor]: Taking taylor expansion of N in N 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 1 into 1 7.675 * [backup-simplify]: Simplify (/ 1 1) into 1 7.675 * [taylor]: Taking taylor expansion of 1.0 in N 7.675 * [backup-simplify]: Simplify 1.0 into 1.0 7.675 * [taylor]: Taking taylor expansion of N in N 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 1 into 1 7.675 * [backup-simplify]: Simplify (+ 1 0) into 1 7.675 * [backup-simplify]: Simplify (/ 1 1) into 1 7.675 * [backup-simplify]: Simplify (log 1) into 0 7.676 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.676 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.676 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.676 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.678 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.684 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.685 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.687 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.688 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.689 * [backup-simplify]: Simplify (+ 0 0) into 0 7.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.698 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.699 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.702 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.702 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.703 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 7.703 * [backup-simplify]: Simplify (cbrt (* (* (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 7.703 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 7.703 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.703 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.703 * [taylor]: Taking taylor expansion of 1/3 in N 7.703 * [backup-simplify]: Simplify 1/3 into 1/3 7.703 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.704 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.704 * [taylor]: Taking taylor expansion of 1.0 in N 7.704 * [backup-simplify]: Simplify 1.0 into 1.0 7.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.704 * [taylor]: Taking taylor expansion of N in N 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (/ 1 1) into 1 7.704 * [taylor]: Taking taylor expansion of N in N 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (- 1) into -1 7.704 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.705 * [backup-simplify]: Simplify (/ -1 1) into -1 7.705 * [backup-simplify]: Simplify (log -1) into (log -1) 7.705 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.706 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.706 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.706 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.706 * [taylor]: Taking taylor expansion of -1 in N 7.706 * [backup-simplify]: Simplify -1 into -1 7.706 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.707 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.707 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.707 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.707 * [taylor]: Taking taylor expansion of 1/3 in N 7.707 * [backup-simplify]: Simplify 1/3 into 1/3 7.707 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.707 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.707 * [taylor]: Taking taylor expansion of 1.0 in N 7.707 * [backup-simplify]: Simplify 1.0 into 1.0 7.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.707 * [taylor]: Taking taylor expansion of N in N 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (/ 1 1) into 1 7.707 * [taylor]: Taking taylor expansion of N in N 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify (- 1) into -1 7.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.708 * [backup-simplify]: Simplify (/ -1 1) into -1 7.709 * [backup-simplify]: Simplify (log -1) into (log -1) 7.709 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.709 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.710 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.710 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.710 * [taylor]: Taking taylor expansion of -1 in N 7.710 * [backup-simplify]: Simplify -1 into -1 7.710 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.710 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.711 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.712 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (- 0) into 0 7.713 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.714 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.718 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.719 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.721 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.724 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.726 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (- 0) into 0 7.729 * [backup-simplify]: Simplify (+ 0 0) into 0 7.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.740 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.741 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.742 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.745 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.747 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.748 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.750 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 7.750 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2) 7.750 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 7.750 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.750 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.750 * [taylor]: Taking taylor expansion of 1/3 in N 7.750 * [backup-simplify]: Simplify 1/3 into 1/3 7.750 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.750 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.750 * [taylor]: Taking taylor expansion of N in N 7.750 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify 1 into 1 7.751 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.751 * [taylor]: Taking taylor expansion of N in N 7.751 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify 1 into 1 7.751 * [taylor]: Taking taylor expansion of 1.0 in N 7.751 * [backup-simplify]: Simplify 1.0 into 1.0 7.751 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.751 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.751 * [backup-simplify]: Simplify (+ 1 0) into 1 7.752 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.753 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.753 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.753 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.754 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.754 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.754 * [taylor]: Taking taylor expansion of 1/3 in N 7.754 * [backup-simplify]: Simplify 1/3 into 1/3 7.754 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.754 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.754 * [taylor]: Taking taylor expansion of N in N 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify 1 into 1 7.754 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.754 * [taylor]: Taking taylor expansion of N in N 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify 1 into 1 7.754 * [taylor]: Taking taylor expansion of 1.0 in N 7.754 * [backup-simplify]: Simplify 1.0 into 1.0 7.754 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.754 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.755 * [backup-simplify]: Simplify (+ 1 0) into 1 7.756 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.756 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.756 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.757 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.757 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.757 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.757 * [backup-simplify]: Simplify (+ 0 0) into 0 7.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.762 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.762 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.764 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.764 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.765 * [backup-simplify]: Simplify (+ 0 0) into 0 7.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.771 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.772 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.773 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.783 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.786 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.791 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 7.792 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.792 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.792 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.792 * [taylor]: Taking taylor expansion of 1/3 in N 7.792 * [backup-simplify]: Simplify 1/3 into 1/3 7.792 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.792 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.792 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.792 * [taylor]: Taking taylor expansion of N in N 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify (/ 1 1) into 1 7.792 * [taylor]: Taking taylor expansion of 1.0 in N 7.792 * [backup-simplify]: Simplify 1.0 into 1.0 7.793 * [taylor]: Taking taylor expansion of N in N 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (+ 1 0) into 1 7.793 * [backup-simplify]: Simplify (/ 1 1) into 1 7.794 * [backup-simplify]: Simplify (log 1) into 0 7.794 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.794 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.794 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.794 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.795 * [taylor]: Taking taylor expansion of 1/3 in N 7.795 * [backup-simplify]: Simplify 1/3 into 1/3 7.795 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.795 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.795 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.795 * [taylor]: Taking taylor expansion of N in N 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 1 into 1 7.795 * [backup-simplify]: Simplify (/ 1 1) into 1 7.795 * [taylor]: Taking taylor expansion of 1.0 in N 7.795 * [backup-simplify]: Simplify 1.0 into 1.0 7.795 * [taylor]: Taking taylor expansion of N in N 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (+ 1 0) into 1 7.796 * [backup-simplify]: Simplify (/ 1 1) into 1 7.796 * [backup-simplify]: Simplify (log 1) into 0 7.797 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.797 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.797 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.797 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.798 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.801 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.808 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.808 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.811 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.811 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.812 * [backup-simplify]: Simplify (+ 0 0) into 0 7.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.819 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.819 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.820 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.823 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.823 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.824 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 7.824 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 7.824 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 7.824 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.824 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.825 * [taylor]: Taking taylor expansion of 1/3 in N 7.825 * [backup-simplify]: Simplify 1/3 into 1/3 7.825 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.825 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.825 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.825 * [taylor]: Taking taylor expansion of 1.0 in N 7.825 * [backup-simplify]: Simplify 1.0 into 1.0 7.825 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.825 * [taylor]: Taking taylor expansion of N in N 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [backup-simplify]: Simplify (/ 1 1) into 1 7.825 * [taylor]: Taking taylor expansion of N in N 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [backup-simplify]: Simplify (- 1) into -1 7.826 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.826 * [backup-simplify]: Simplify (/ -1 1) into -1 7.826 * [backup-simplify]: Simplify (log -1) into (log -1) 7.827 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.827 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.827 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.828 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.828 * [taylor]: Taking taylor expansion of -1 in N 7.828 * [backup-simplify]: Simplify -1 into -1 7.829 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.830 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.830 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.830 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.830 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.830 * [taylor]: Taking taylor expansion of 1/3 in N 7.830 * [backup-simplify]: Simplify 1/3 into 1/3 7.830 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.830 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.830 * [taylor]: Taking taylor expansion of 1.0 in N 7.830 * [backup-simplify]: Simplify 1.0 into 1.0 7.830 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.830 * [taylor]: Taking taylor expansion of N in N 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 1 into 1 7.831 * [backup-simplify]: Simplify (/ 1 1) into 1 7.831 * [taylor]: Taking taylor expansion of N in N 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [backup-simplify]: Simplify (- 1) into -1 7.831 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.831 * [backup-simplify]: Simplify (/ -1 1) into -1 7.832 * [backup-simplify]: Simplify (log -1) into (log -1) 7.832 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.833 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.833 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.833 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.833 * [taylor]: Taking taylor expansion of -1 in N 7.833 * [backup-simplify]: Simplify -1 into -1 7.833 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.834 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.834 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.835 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.836 * [backup-simplify]: Simplify (- 0) into 0 7.836 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.837 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.844 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.845 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.849 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.850 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.852 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.855 * [backup-simplify]: Simplify (- 0) into 0 7.855 * [backup-simplify]: Simplify (+ 0 0) into 0 7.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.862 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.863 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.864 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.868 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.869 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.870 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.873 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 7.873 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2) 7.873 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 7.873 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.873 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.873 * [taylor]: Taking taylor expansion of 1/3 in N 7.873 * [backup-simplify]: Simplify 1/3 into 1/3 7.873 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.873 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.873 * [taylor]: Taking taylor expansion of N in N 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 1 into 1 7.873 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.873 * [taylor]: Taking taylor expansion of N in N 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 1 into 1 7.873 * [taylor]: Taking taylor expansion of 1.0 in N 7.873 * [backup-simplify]: Simplify 1.0 into 1.0 7.873 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.874 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.874 * [backup-simplify]: Simplify (+ 1 0) into 1 7.875 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.875 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.876 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.876 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.876 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.876 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.876 * [taylor]: Taking taylor expansion of 1/3 in N 7.876 * [backup-simplify]: Simplify 1/3 into 1/3 7.876 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.876 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.876 * [taylor]: Taking taylor expansion of N in N 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify 1 into 1 7.876 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.876 * [taylor]: Taking taylor expansion of N in N 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify 1 into 1 7.876 * [taylor]: Taking taylor expansion of 1.0 in N 7.876 * [backup-simplify]: Simplify 1.0 into 1.0 7.877 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.877 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.877 * [backup-simplify]: Simplify (+ 1 0) into 1 7.878 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.879 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.879 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.879 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.880 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.880 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.880 * [backup-simplify]: Simplify (+ 0 0) into 0 7.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.885 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.886 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.887 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.888 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.888 * [backup-simplify]: Simplify (+ 0 0) into 0 7.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 7.895 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 7.896 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.898 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.904 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.907 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.909 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 7.910 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 7.910 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 7.910 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.910 * [taylor]: Taking taylor expansion of 1/3 in N 7.910 * [backup-simplify]: Simplify 1/3 into 1/3 7.910 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.910 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.910 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.910 * [taylor]: Taking taylor expansion of N in N 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [backup-simplify]: Simplify (/ 1 1) into 1 7.910 * [taylor]: Taking taylor expansion of 1.0 in N 7.910 * [backup-simplify]: Simplify 1.0 into 1.0 7.910 * [taylor]: Taking taylor expansion of N in N 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [backup-simplify]: Simplify (+ 1 0) into 1 7.911 * [backup-simplify]: Simplify (/ 1 1) into 1 7.911 * [backup-simplify]: Simplify (log 1) into 0 7.911 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.911 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.911 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.911 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 7.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 7.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 7.911 * [taylor]: Taking taylor expansion of 1/3 in N 7.911 * [backup-simplify]: Simplify 1/3 into 1/3 7.911 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 7.911 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 7.911 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.912 * [taylor]: Taking taylor expansion of N in N 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [backup-simplify]: Simplify (/ 1 1) into 1 7.912 * [taylor]: Taking taylor expansion of 1.0 in N 7.912 * [backup-simplify]: Simplify 1.0 into 1.0 7.912 * [taylor]: Taking taylor expansion of N in N 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [backup-simplify]: Simplify (+ 1 0) into 1 7.912 * [backup-simplify]: Simplify (/ 1 1) into 1 7.913 * [backup-simplify]: Simplify (log 1) into 0 7.913 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.913 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.913 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.913 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.914 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.915 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 7.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.919 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.919 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 7.921 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.921 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (+ 0 0) into 0 7.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 7.931 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.932 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 7.938 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.938 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 7.939 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 7.939 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 7.939 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 7.939 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.939 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.939 * [taylor]: Taking taylor expansion of 1/3 in N 7.939 * [backup-simplify]: Simplify 1/3 into 1/3 7.939 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.939 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.939 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.940 * [taylor]: Taking taylor expansion of 1.0 in N 7.940 * [backup-simplify]: Simplify 1.0 into 1.0 7.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.940 * [taylor]: Taking taylor expansion of N in N 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 1 into 1 7.940 * [backup-simplify]: Simplify (/ 1 1) into 1 7.940 * [taylor]: Taking taylor expansion of N in N 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 1 into 1 7.940 * [backup-simplify]: Simplify (- 1) into -1 7.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.941 * [backup-simplify]: Simplify (/ -1 1) into -1 7.942 * [backup-simplify]: Simplify (log -1) into (log -1) 7.942 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.943 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.943 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.943 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.944 * [taylor]: Taking taylor expansion of -1 in N 7.944 * [backup-simplify]: Simplify -1 into -1 7.944 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.945 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.945 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 7.945 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 7.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 7.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 7.945 * [taylor]: Taking taylor expansion of 1/3 in N 7.945 * [backup-simplify]: Simplify 1/3 into 1/3 7.945 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 7.945 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 7.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.945 * [taylor]: Taking taylor expansion of 1.0 in N 7.945 * [backup-simplify]: Simplify 1.0 into 1.0 7.945 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.945 * [taylor]: Taking taylor expansion of N in N 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [backup-simplify]: Simplify (/ 1 1) into 1 7.945 * [taylor]: Taking taylor expansion of N in N 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.946 * [backup-simplify]: Simplify (- 1) into -1 7.946 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.947 * [backup-simplify]: Simplify (/ -1 1) into -1 7.947 * [backup-simplify]: Simplify (log -1) into (log -1) 7.948 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.948 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 7.949 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 7.949 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.949 * [taylor]: Taking taylor expansion of -1 in N 7.949 * [backup-simplify]: Simplify -1 into -1 7.949 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.950 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.951 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.952 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.953 * [backup-simplify]: Simplify (- 0) into 0 7.953 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.955 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 7.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.959 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.960 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 7.962 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.963 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.964 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (- 0) into 0 7.966 * [backup-simplify]: Simplify (+ 0 0) into 0 7.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 7.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 7.974 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 7.975 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 7.979 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 7.981 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.982 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 7.985 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 7.985 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1) 7.985 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 7.985 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 7.985 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.985 * [taylor]: Taking taylor expansion of 1/3 in N 7.985 * [backup-simplify]: Simplify 1/3 into 1/3 7.985 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.985 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.985 * [taylor]: Taking taylor expansion of N in N 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.985 * [taylor]: Taking taylor expansion of N in N 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [taylor]: Taking taylor expansion of 1.0 in N 7.985 * [backup-simplify]: Simplify 1.0 into 1.0 7.985 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.986 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.986 * [backup-simplify]: Simplify (+ 1 0) into 1 7.987 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.987 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.988 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.988 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.988 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.988 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 7.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 7.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 7.988 * [taylor]: Taking taylor expansion of 1/3 in N 7.988 * [backup-simplify]: Simplify 1/3 into 1/3 7.988 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 7.988 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.988 * [taylor]: Taking taylor expansion of N in N 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 1 into 1 7.988 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.988 * [taylor]: Taking taylor expansion of N in N 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 1 into 1 7.988 * [taylor]: Taking taylor expansion of 1.0 in N 7.988 * [backup-simplify]: Simplify 1.0 into 1.0 7.989 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.989 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.989 * [backup-simplify]: Simplify (+ 1 0) into 1 7.990 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.990 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.991 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.991 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.991 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.992 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.992 * [backup-simplify]: Simplify (+ 0 0) into 0 7.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.996 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.997 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 7.998 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.999 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.999 * [backup-simplify]: Simplify (+ 0 0) into 0 8.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 8.005 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 8.006 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.007 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (+ (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 8.014 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 8.018 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 8.020 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 8.021 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 8.021 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 8.021 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 8.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 8.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 8.021 * [taylor]: Taking taylor expansion of 1/3 in N 8.021 * [backup-simplify]: Simplify 1/3 into 1/3 8.021 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 8.021 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.021 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.021 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.021 * [taylor]: Taking taylor expansion of N in N 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 1 into 1 8.021 * [backup-simplify]: Simplify (/ 1 1) into 1 8.021 * [taylor]: Taking taylor expansion of 1.0 in N 8.021 * [backup-simplify]: Simplify 1.0 into 1.0 8.021 * [taylor]: Taking taylor expansion of N in N 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 1 into 1 8.021 * [backup-simplify]: Simplify (+ 1 0) into 1 8.022 * [backup-simplify]: Simplify (/ 1 1) into 1 8.022 * [backup-simplify]: Simplify (log 1) into 0 8.022 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.022 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.022 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.022 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 8.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 8.022 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 8.022 * [taylor]: Taking taylor expansion of 1/3 in N 8.022 * [backup-simplify]: Simplify 1/3 into 1/3 8.022 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 8.022 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.022 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.022 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.022 * [taylor]: Taking taylor expansion of N in N 8.022 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [backup-simplify]: Simplify (/ 1 1) into 1 8.023 * [taylor]: Taking taylor expansion of 1.0 in N 8.023 * [backup-simplify]: Simplify 1.0 into 1.0 8.023 * [taylor]: Taking taylor expansion of N in N 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [backup-simplify]: Simplify (+ 1 0) into 1 8.023 * [backup-simplify]: Simplify (/ 1 1) into 1 8.024 * [backup-simplify]: Simplify (log 1) into 0 8.024 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.024 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.024 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.024 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 8.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.025 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.026 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 8.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.030 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.030 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 8.032 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 8.032 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 8.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.033 * [backup-simplify]: Simplify (+ 0 0) into 0 8.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.041 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.042 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 8.047 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 8.047 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 8.048 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) 8.048 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 8.048 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 8.049 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.049 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 8.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 8.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 8.049 * [taylor]: Taking taylor expansion of 1/3 in N 8.049 * [backup-simplify]: Simplify 1/3 into 1/3 8.049 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 8.049 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.049 * [taylor]: Taking taylor expansion of 1.0 in N 8.049 * [backup-simplify]: Simplify 1.0 into 1.0 8.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.049 * [taylor]: Taking taylor expansion of N in N 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 1 into 1 8.049 * [backup-simplify]: Simplify (/ 1 1) into 1 8.049 * [taylor]: Taking taylor expansion of N in N 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (- 1) into -1 8.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.051 * [backup-simplify]: Simplify (/ -1 1) into -1 8.051 * [backup-simplify]: Simplify (log -1) into (log -1) 8.052 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.052 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.053 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.053 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.053 * [taylor]: Taking taylor expansion of -1 in N 8.053 * [backup-simplify]: Simplify -1 into -1 8.053 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.054 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.054 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 8.054 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 8.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 8.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 8.054 * [taylor]: Taking taylor expansion of 1/3 in N 8.054 * [backup-simplify]: Simplify 1/3 into 1/3 8.054 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 8.054 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.054 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.054 * [taylor]: Taking taylor expansion of 1.0 in N 8.054 * [backup-simplify]: Simplify 1.0 into 1.0 8.055 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.055 * [taylor]: Taking taylor expansion of N in N 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 1 into 1 8.055 * [backup-simplify]: Simplify (/ 1 1) into 1 8.055 * [taylor]: Taking taylor expansion of N in N 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 1 into 1 8.055 * [backup-simplify]: Simplify (- 1) into -1 8.056 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.056 * [backup-simplify]: Simplify (/ -1 1) into -1 8.057 * [backup-simplify]: Simplify (log -1) into (log -1) 8.057 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.058 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 8.059 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 8.059 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.059 * [taylor]: Taking taylor expansion of -1 in N 8.059 * [backup-simplify]: Simplify -1 into -1 8.059 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.060 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.061 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.062 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify (- 0) into 0 8.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.066 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 8.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 8.074 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.075 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 8.079 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.081 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.082 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.084 * [backup-simplify]: Simplify (- 0) into 0 8.084 * [backup-simplify]: Simplify (+ 0 0) into 0 8.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.092 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 8.092 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 8.093 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 8.097 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 8.098 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) 0) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 0) (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.099 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) 8.102 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.102 * * * [progress]: simplifying candidates 8.103 * [simplify]: Simplifying: (log (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (exp (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (cbrt (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)))) (cbrt (cbrt (- N 1.0))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (- (* N N) (* 1.0 1.0)) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (- N 1.0))) (cbrt (* (* (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (* (* (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (cbrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (* (* (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (sqrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (sqrt (cbrt (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) 8.106 * * [simplify]: iteration 0: 177 enodes 8.145 * * [simplify]: iteration 1: 323 enodes 8.221 * * [simplify]: iteration 2: 637 enodes 8.408 * * [simplify]: iteration 3: 1679 enodes 8.942 * * [simplify]: iteration complete: 5003 enodes 8.942 * * [simplify]: Extracting #0: cost 30 inf + 0 8.942 * * [simplify]: Extracting #1: cost 99 inf + 0 8.944 * * [simplify]: Extracting #2: cost 766 inf + 115 8.949 * * [simplify]: Extracting #3: cost 1453 inf + 8539 8.970 * * [simplify]: Extracting #4: cost 1198 inf + 90786 9.017 * * [simplify]: Extracting #5: cost 742 inf + 196099 9.072 * * [simplify]: Extracting #6: cost 338 inf + 356206 9.141 * * [simplify]: Extracting #7: cost 73 inf + 489861 9.238 * * [simplify]: Extracting #8: cost 0 inf + 537778 9.340 * [simplify]: Simplified to: (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 1.0))) N)) (cbrt (- (* 1.0 1.0) (* N (- 1.0 N)))) (cbrt (* (* (cbrt (* N (* (+ 1.0 N) (- N 1.0)))) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 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(cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 1.0))) N)) (cbrt (- (* 1.0 1.0) (* N (- 1.0 N)))) (cbrt (* N (* (+ 1.0 N) (- N 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (* (+ (* N (* N N)) (* 1.0 (* 1.0 1.0))) N)) (cbrt (- (* 1.0 1.0) (* N (- 1.0 N)))) (cbrt (* N (* (+ 1.0 N) (- N 1.0)))) (cbrt (- N 1.0)) (* (cbrt (cbrt (* N (+ 1.0 N)))) (cbrt (cbrt (* N (+ 1.0 N))))) (cbrt (cbrt (* N (+ 1.0 N)))) (* N (+ 1.0 N)) (sqrt (cbrt (* N (+ 1.0 N)))) (sqrt (cbrt (* N (+ 1.0 N)))) (+ (* (cbrt (* 1.0 N)) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (- (cbrt (* 1.0 N)) (* (/ (cbrt (* 1.0 N)) (* (/ 1.0 N) (/ 1.0 N))) 1/6))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N))))))) (+ (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (cbrt -1)) (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) (+ (* (cbrt (* 1.0 N)) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (- (cbrt (* 1.0 N)) (* (/ (cbrt (* 1.0 N)) (* (/ 1.0 N) (/ 1.0 N))) 1/6))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N))))))) (+ (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (cbrt -1)) (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) (+ (* (cbrt (* 1.0 N)) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (- (cbrt (* 1.0 N)) (* (/ (cbrt (* 1.0 N)) (* (/ 1.0 N) (/ 1.0 N))) 1/6))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N))))))) (+ (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (cbrt -1)) (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) (+ (* (cbrt (* 1.0 N)) (* N (+ 0.3333333333333333 (* 0.05555555555555555 N)))) (- (cbrt (* 1.0 N)) (* (/ (cbrt (* 1.0 N)) (* (/ 1.0 N) (/ 1.0 N))) 1/6))) (+ (pow (/ 1 N) -2/3) (- (* (cbrt (/ 1 N)) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (* (* N N) (* N N))))))) (+ (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (cbrt -1)) (* (exp (+ (* (log (/ -1 N)) -2/3) (* 1/3 (log -1)))) (* (/ (cbrt -1) N) (- 0.3333333333333333 (/ 0.1111111111111111 N))))) 9.362 * * * [progress]: adding candidates to table 9.944 * [progress]: [Phase 3 of 3] Extracting. 9.945 * * [regime]: Finding splitpoints for: (# # # # #) 9.945 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.945 * * * * [regimes]: Trying to branch on N from (# # # # #) 9.987 * * * [regime]: Found split indices: #