20.737 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.036 * * [simplify]: iteration 0: 6 enodes 0.036 * * [simplify]: iteration 1: 9 enodes 0.037 * * [simplify]: iteration 2: 10 enodes 0.038 * * [simplify]: iteration complete: 10 enodes 0.038 * * [simplify]: Extracting #0: cost 1 inf + 0 0.038 * * [simplify]: Extracting #1: cost 4 inf + 0 0.038 * * [simplify]: Extracting #2: cost 6 inf + 0 0.038 * * [simplify]: Extracting #3: cost 6 inf + 1 0.038 * * [simplify]: Extracting #4: cost 0 inf + 735 0.038 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.055 * * * [progress]: generating series expansions 0.055 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.055 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.055 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.056 * [taylor]: Taking taylor expansion of (atan N) in N 0.056 * [backup-simplify]: Simplify (atan N) into (atan N) 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.056 * [taylor]: Taking taylor expansion of (atan N) in N 0.056 * [backup-simplify]: Simplify (atan N) into (atan N) 0.056 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.056 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.056 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- 0) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.059 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.059 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.059 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.060 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.060 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.060 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.060 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.060 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.060 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.060 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.060 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- 0) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.063 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.063 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.063 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.063 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.063 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.063 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.063 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.063 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.063 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.064 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.064 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.064 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.064 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.064 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.064 * [backup-simplify]: Simplify (- 0) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.067 * * * [progress]: simplifying candidates 0.067 * [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)) 0.068 * * [simplify]: iteration 0: 36 enodes 0.073 * * [simplify]: iteration 1: 73 enodes 0.084 * * [simplify]: iteration 2: 149 enodes 0.137 * * [simplify]: iteration 3: 326 enodes 0.283 * * [simplify]: iteration 4: 966 enodes 0.774 * * [simplify]: iteration 5: 3570 enodes 1.952 * * [simplify]: iteration complete: 5001 enodes 1.952 * * [simplify]: Extracting #0: cost 16 inf + 0 1.952 * * [simplify]: Extracting #1: cost 156 inf + 1 1.956 * * [simplify]: Extracting #2: cost 866 inf + 3 1.964 * * [simplify]: Extracting #3: cost 1128 inf + 11343 1.992 * * [simplify]: Extracting #4: cost 989 inf + 113508 2.075 * * [simplify]: Extracting #5: cost 319 inf + 514271 2.170 * * [simplify]: Extracting #6: cost 44 inf + 634893 2.290 * * [simplify]: Extracting #7: cost 0 inf + 656298 2.399 * [simplify]: Simplified to: 1.0 (+ (* N (+ 1.0 N)) 1) (exp (- (atan (+ 1.0 N)) (atan N))) (log (- (atan (+ 1.0 N)) (atan N))) (exp (- (atan (+ 1.0 N)) (atan N))) (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N)))) (cbrt (- (atan (+ 1.0 N)) (atan N))) (* (- (atan (+ 1.0 N)) (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (* (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (atan (+ 1.0 N))) (* (atan N) (* (atan N) (atan N)))) (+ (* (atan N) (atan N)) (* (atan (+ 1.0 N)) (+ (atan N) (atan (+ 1.0 N))))) (- (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (+ (atan N) (atan (+ 1.0 N)))) (+ (atan N) (atan (+ 1.0 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1.0 N)))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) 2.401 * * * [progress]: adding candidates to table 2.475 * * [progress]: iteration 2 / 4 2.475 * * * [progress]: picking best candidate 2.481 * * * * [pick]: Picked # 2.481 * * * [progress]: localizing error 2.498 * * * [progress]: generating rewritten candidates 2.498 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.499 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.530 * * * [progress]: generating series expansions 2.530 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.531 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.531 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 2.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.531 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 2.531 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.532 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 2.532 * [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))) 2.532 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 2.532 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.533 * [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))) 2.533 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 2.533 * [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))) 2.534 * [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))) 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [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))) 2.535 * [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)))) 2.535 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.535 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.535 * [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)))) 2.535 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.535 * [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)))) 2.536 * [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)))) 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.537 * [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))) 2.537 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.537 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 2.537 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.537 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.537 * [taylor]: Taking taylor expansion of N in N 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.537 * [taylor]: Taking taylor expansion of N in N 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [taylor]: Taking taylor expansion of 1.0 in N 2.537 * [backup-simplify]: Simplify 1.0 into 1.0 2.537 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.537 * [taylor]: Taking taylor expansion of N in N 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.537 * [taylor]: Taking taylor expansion of N in N 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [taylor]: Taking taylor expansion of 1.0 in N 2.537 * [backup-simplify]: Simplify 1.0 into 1.0 2.538 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.539 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (+ 1 0) into 1 2.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 2.541 * [backup-simplify]: Simplify 1.0 into 1.0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 2.542 * [backup-simplify]: Simplify 1 into 1 2.542 * [backup-simplify]: Simplify (+ 0 0) into 0 2.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify (+ 0 0) into 0 2.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 2.550 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (+ 0 0) into 0 2.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify (+ 0 0) into 0 2.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 2.556 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 2.556 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.556 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.556 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.556 * [taylor]: Taking taylor expansion of N in N 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (/ 1 1) into 1 2.557 * [taylor]: Taking taylor expansion of 1.0 in N 2.557 * [backup-simplify]: Simplify 1.0 into 1.0 2.557 * [taylor]: Taking taylor expansion of N in N 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (+ 1 0) into 1 2.558 * [backup-simplify]: Simplify (/ 1 1) into 1 2.558 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.558 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.558 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.558 * [taylor]: Taking taylor expansion of N in N 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [backup-simplify]: Simplify (/ 1 1) into 1 2.558 * [taylor]: Taking taylor expansion of 1.0 in N 2.558 * [backup-simplify]: Simplify 1.0 into 1.0 2.558 * [taylor]: Taking taylor expansion of N in N 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.559 * [backup-simplify]: Simplify (+ 1 0) into 1 2.559 * [backup-simplify]: Simplify (/ 1 1) into 1 2.559 * [backup-simplify]: Simplify 1 into 1 2.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.562 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 2.563 * [backup-simplify]: Simplify 1.0 into 1.0 2.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.565 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.566 * [backup-simplify]: Simplify (+ 0 0) into 0 2.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.569 * [backup-simplify]: Simplify (+ 0 0) into 0 2.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.570 * [backup-simplify]: Simplify (+ 0 0) into 0 2.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.572 * [backup-simplify]: Simplify (+ 0 0) into 0 2.572 * [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 2.572 * [backup-simplify]: Simplify 0 into 0 2.573 * [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 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.574 * [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 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 2.574 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 2.574 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.574 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.574 * [taylor]: Taking taylor expansion of -1 in N 2.574 * [backup-simplify]: Simplify -1 into -1 2.574 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.574 * [taylor]: Taking taylor expansion of 1.0 in N 2.574 * [backup-simplify]: Simplify 1.0 into 1.0 2.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.575 * [taylor]: Taking taylor expansion of N in N 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 1 into 1 2.575 * [backup-simplify]: Simplify (/ 1 1) into 1 2.575 * [taylor]: Taking taylor expansion of N in N 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 1 into 1 2.575 * [backup-simplify]: Simplify (- 1) into -1 2.575 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.576 * [backup-simplify]: Simplify (/ -1 1) into -1 2.576 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.576 * [taylor]: Taking taylor expansion of -1 in N 2.576 * [backup-simplify]: Simplify -1 into -1 2.576 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.576 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.576 * [taylor]: Taking taylor expansion of 1.0 in N 2.576 * [backup-simplify]: Simplify 1.0 into 1.0 2.576 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.576 * [taylor]: Taking taylor expansion of N in N 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.576 * [backup-simplify]: Simplify (/ 1 1) into 1 2.576 * [taylor]: Taking taylor expansion of N in N 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.576 * [backup-simplify]: Simplify (- 1) into -1 2.577 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.577 * [backup-simplify]: Simplify (/ -1 1) into -1 2.577 * [backup-simplify]: Simplify (* -1 -1) into 1 2.577 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (- 0) into 0 2.578 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.579 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 2.580 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 2.581 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.581 * [backup-simplify]: Simplify (- 0) into 0 2.582 * [backup-simplify]: Simplify (+ 0 0) into 0 2.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (- 0) into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.585 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.586 * [backup-simplify]: Simplify (- 0) into 0 2.586 * [backup-simplify]: Simplify (+ 0 0) into 0 2.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.591 * [backup-simplify]: Simplify (- 0) into 0 2.591 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.593 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.594 * [backup-simplify]: Simplify (- 0) into 0 2.594 * [backup-simplify]: Simplify (+ 0 0) into 0 2.595 * [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 2.596 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [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 2.596 * [backup-simplify]: Simplify (- 0) into 0 2.597 * [backup-simplify]: Simplify (+ 0 0) into 0 2.597 * [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 2.598 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 2.599 * * * [progress]: simplifying candidates 2.600 * [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)) 2.600 * * [simplify]: iteration 0: 55 enodes 2.609 * * [simplify]: iteration 1: 127 enodes 2.685 * * [simplify]: iteration 2: 695 enodes 2.995 * * [simplify]: iteration complete: 5002 enodes 2.995 * * [simplify]: Extracting #0: cost 23 inf + 0 2.997 * * [simplify]: Extracting #1: cost 672 inf + 0 3.005 * * [simplify]: Extracting #2: cost 1913 inf + 970 3.044 * * [simplify]: Extracting #3: cost 1904 inf + 87238 3.127 * * [simplify]: Extracting #4: cost 253 inf + 303902 3.196 * * [simplify]: Extracting #5: cost 13 inf + 337161 3.261 * * [simplify]: Extracting #6: cost 9 inf + 338761 3.315 * * [simplify]: Extracting #7: cost 3 inf + 339435 3.398 * * [simplify]: Extracting #8: cost 0 inf + 340194 3.457 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (exp (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (* (* (atan2 1.0 (+ 1 (* (+ 1.0 N) N))) (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ 1.0 N) N)))) (* (+ 1.0 N) N) (log (* (+ 1.0 N) N)) (log (* (+ 1.0 N) N)) (exp (* (+ 1.0 N) N)) (* (* (* (+ 1.0 N) N) (* (+ 1.0 N) N)) (* (+ 1.0 N) N)) (* (cbrt (* (+ 1.0 N) N)) (cbrt (* (+ 1.0 N) N))) (cbrt (* (+ 1.0 N) N)) (* (* (* (+ 1.0 N) N) (* (+ 1.0 N) N)) (* (+ 1.0 N) N)) (sqrt (* (+ 1.0 N) N)) (sqrt (* (+ 1.0 N) N)) (* (sqrt N) (sqrt (+ 1.0 N))) (* (sqrt N) (sqrt (+ 1.0 N))) (* (+ 1.0 N) (* (cbrt N) (cbrt N))) (* (+ 1.0 N) (sqrt N)) (+ 1.0 N) (* (cbrt (+ 1.0 N)) N) (* (sqrt (+ 1.0 N)) N) (* (+ 1.0 N) N) (* (+ 1.0 N) N) (* (+ (* 1.0 (* 1.0 1.0)) (* N (* N N))) N) (* (* (+ 1.0 N) (- N 1.0)) N) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (atan2 1.0 (+ 1 (* N (+ N 1.0)))) (* N (+ N 1.0)) (* N (+ N 1.0)) (* N (+ N 1.0)) 3.460 * * * [progress]: adding candidates to table 3.564 * * [progress]: iteration 3 / 4 3.564 * * * [progress]: picking best candidate 3.592 * * * * [pick]: Picked # 3.592 * * * [progress]: localizing error 3.620 * * * [progress]: generating rewritten candidates 3.621 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 3.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 3.637 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 3.643 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 3.661 * * * [progress]: generating series expansions 3.661 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 3.661 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 3.661 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 3.661 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.661 * [taylor]: Taking taylor expansion of 1/3 in N 3.661 * [backup-simplify]: Simplify 1/3 into 1/3 3.661 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.661 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.661 * [taylor]: Taking taylor expansion of N in N 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.661 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.661 * [taylor]: Taking taylor expansion of N in N 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.661 * [taylor]: Taking taylor expansion of 1.0 in N 3.661 * [backup-simplify]: Simplify 1.0 into 1.0 3.662 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.662 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.662 * [backup-simplify]: Simplify (+ 1 0) into 1 3.663 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.663 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.664 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.664 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.665 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.665 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.665 * [taylor]: Taking taylor expansion of 1/3 in N 3.665 * [backup-simplify]: Simplify 1/3 into 1/3 3.665 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.665 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.665 * [taylor]: Taking taylor expansion of N in N 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.665 * [taylor]: Taking taylor expansion of N in N 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [taylor]: Taking taylor expansion of 1.0 in N 3.665 * [backup-simplify]: Simplify 1.0 into 1.0 3.665 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.665 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.666 * [backup-simplify]: Simplify (+ 1 0) into 1 3.667 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.667 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.667 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.668 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.668 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.668 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.669 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 3.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.673 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.673 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 3.675 * [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))))) 3.676 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 3.676 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 3.686 * [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)) 3.687 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.688 * [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)))) 3.698 * [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))))) 3.700 * [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))))) 3.703 * [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)))) 3.703 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 3.703 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 3.703 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.703 * [taylor]: Taking taylor expansion of 1/3 in N 3.703 * [backup-simplify]: Simplify 1/3 into 1/3 3.703 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.703 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.703 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.703 * [taylor]: Taking taylor expansion of N in N 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (/ 1 1) into 1 3.703 * [taylor]: Taking taylor expansion of 1.0 in N 3.703 * [backup-simplify]: Simplify 1.0 into 1.0 3.703 * [taylor]: Taking taylor expansion of N in N 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (+ 1 0) into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [backup-simplify]: Simplify (log 1) into 0 3.704 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.705 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.705 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.705 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.705 * [taylor]: Taking taylor expansion of 1/3 in N 3.705 * [backup-simplify]: Simplify 1/3 into 1/3 3.705 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.705 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.705 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.705 * [taylor]: Taking taylor expansion of N in N 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (/ 1 1) into 1 3.705 * [taylor]: Taking taylor expansion of 1.0 in N 3.705 * [backup-simplify]: Simplify 1.0 into 1.0 3.705 * [taylor]: Taking taylor expansion of N in N 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (+ 1 0) into 1 3.706 * [backup-simplify]: Simplify (/ 1 1) into 1 3.706 * [backup-simplify]: Simplify (log 1) into 0 3.706 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.706 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.706 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.706 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.707 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.708 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.712 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.713 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 3.715 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.715 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.727 * [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 3.727 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.728 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 3.734 * [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)) 3.734 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 3.735 * [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))) 3.736 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 3.736 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 3.736 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 3.736 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.736 * [taylor]: Taking taylor expansion of 1/3 in N 3.736 * [backup-simplify]: Simplify 1/3 into 1/3 3.736 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.736 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.736 * [taylor]: Taking taylor expansion of 1.0 in N 3.736 * [backup-simplify]: Simplify 1.0 into 1.0 3.736 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.736 * [taylor]: Taking taylor expansion of N in N 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify (/ 1 1) into 1 3.737 * [taylor]: Taking taylor expansion of N in N 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify (- 1) into -1 3.737 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.738 * [backup-simplify]: Simplify (/ -1 1) into -1 3.738 * [backup-simplify]: Simplify (log -1) into (log -1) 3.738 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.739 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.739 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.739 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.739 * [taylor]: Taking taylor expansion of -1 in N 3.739 * [backup-simplify]: Simplify -1 into -1 3.740 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.740 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.740 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 3.740 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.740 * [taylor]: Taking taylor expansion of 1/3 in N 3.740 * [backup-simplify]: Simplify 1/3 into 1/3 3.740 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.740 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.740 * [taylor]: Taking taylor expansion of 1.0 in N 3.740 * [backup-simplify]: Simplify 1.0 into 1.0 3.740 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.740 * [taylor]: Taking taylor expansion of N in N 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.741 * [taylor]: Taking taylor expansion of N in N 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (- 1) into -1 3.741 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.741 * [backup-simplify]: Simplify (/ -1 1) into -1 3.742 * [backup-simplify]: Simplify (log -1) into (log -1) 3.742 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.742 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.743 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.743 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.743 * [taylor]: Taking taylor expansion of -1 in N 3.743 * [backup-simplify]: Simplify -1 into -1 3.743 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.744 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.744 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.745 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (- 0) into 0 3.746 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.747 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 3.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.751 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.752 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 3.754 * [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)))))) 3.755 * [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)))))))) 3.756 * [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)))))))) 3.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (- 0) into 0 3.758 * [backup-simplify]: Simplify (+ 0 0) into 0 3.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.765 * [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 3.765 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.766 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 3.770 * [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)))))) 3.772 * [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)))))))) 3.772 * [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)))))))) 3.775 * [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)))) 3.775 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 3.775 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 3.775 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 3.775 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.775 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.775 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.775 * [taylor]: Taking taylor expansion of 1/3 in N 3.775 * [backup-simplify]: Simplify 1/3 into 1/3 3.775 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.775 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.775 * [taylor]: Taking taylor expansion of N in N 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 1 into 1 3.775 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.775 * [taylor]: Taking taylor expansion of N in N 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 1 into 1 3.775 * [taylor]: Taking taylor expansion of 1.0 in N 3.775 * [backup-simplify]: Simplify 1.0 into 1.0 3.776 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.776 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.776 * [backup-simplify]: Simplify (+ 1 0) into 1 3.777 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.777 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.778 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.778 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.778 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.778 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.778 * [taylor]: Taking taylor expansion of 1/3 in N 3.778 * [backup-simplify]: Simplify 1/3 into 1/3 3.778 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.778 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.778 * [taylor]: Taking taylor expansion of N in N 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.779 * [taylor]: Taking taylor expansion of N in N 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [taylor]: Taking taylor expansion of 1.0 in N 3.779 * [backup-simplify]: Simplify 1.0 into 1.0 3.779 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.779 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.779 * [backup-simplify]: Simplify (+ 1 0) into 1 3.780 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.781 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.781 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.781 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.782 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.782 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 3.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.786 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.787 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 3.790 * [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))))) 3.791 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 3.791 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 3.797 * [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)) 3.798 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.799 * [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)))) 3.805 * [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))))) 3.807 * [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))))) 3.810 * [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)))) 3.810 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 3.810 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 3.810 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.810 * [taylor]: Taking taylor expansion of 1/3 in N 3.810 * [backup-simplify]: Simplify 1/3 into 1/3 3.810 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.811 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.811 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.811 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.811 * [taylor]: Taking taylor expansion of N in N 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 1 into 1 3.811 * [backup-simplify]: Simplify (/ 1 1) into 1 3.811 * [taylor]: Taking taylor expansion of 1.0 in N 3.811 * [backup-simplify]: Simplify 1.0 into 1.0 3.811 * [taylor]: Taking taylor expansion of N in N 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 1 into 1 3.811 * [backup-simplify]: Simplify (+ 1 0) into 1 3.811 * [backup-simplify]: Simplify (/ 1 1) into 1 3.812 * [backup-simplify]: Simplify (log 1) into 0 3.812 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.812 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.812 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.812 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.812 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.812 * [taylor]: Taking taylor expansion of 1/3 in N 3.812 * [backup-simplify]: Simplify 1/3 into 1/3 3.812 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.812 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.812 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.812 * [taylor]: Taking taylor expansion of N in N 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify (/ 1 1) into 1 3.813 * [taylor]: Taking taylor expansion of 1.0 in N 3.813 * [backup-simplify]: Simplify 1.0 into 1.0 3.813 * [taylor]: Taking taylor expansion of N in N 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (+ 1 0) into 1 3.813 * [backup-simplify]: Simplify (/ 1 1) into 1 3.813 * [backup-simplify]: Simplify (log 1) into 0 3.814 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.814 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.814 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.814 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.816 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.820 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.820 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 3.822 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.822 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ 0 0) into 0 3.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.829 * [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 3.830 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.830 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 3.833 * [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)) 3.834 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 3.834 * [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))) 3.834 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 3.834 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 3.834 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 3.834 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.834 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.835 * [taylor]: Taking taylor expansion of 1/3 in N 3.835 * [backup-simplify]: Simplify 1/3 into 1/3 3.835 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.835 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.835 * [taylor]: Taking taylor expansion of 1.0 in N 3.835 * [backup-simplify]: Simplify 1.0 into 1.0 3.835 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.835 * [taylor]: Taking taylor expansion of N in N 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify (/ 1 1) into 1 3.835 * [taylor]: Taking taylor expansion of N in N 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify (- 1) into -1 3.835 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.836 * [backup-simplify]: Simplify (/ -1 1) into -1 3.836 * [backup-simplify]: Simplify (log -1) into (log -1) 3.836 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.837 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.837 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.837 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.837 * [taylor]: Taking taylor expansion of -1 in N 3.837 * [backup-simplify]: Simplify -1 into -1 3.837 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.838 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.838 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 3.838 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.838 * [taylor]: Taking taylor expansion of 1/3 in N 3.838 * [backup-simplify]: Simplify 1/3 into 1/3 3.838 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.838 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.838 * [taylor]: Taking taylor expansion of 1.0 in N 3.838 * [backup-simplify]: Simplify 1.0 into 1.0 3.838 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.838 * [taylor]: Taking taylor expansion of N in N 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.838 * [backup-simplify]: Simplify (/ 1 1) into 1 3.838 * [taylor]: Taking taylor expansion of N in N 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (- 1) into -1 3.839 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.839 * [backup-simplify]: Simplify (/ -1 1) into -1 3.839 * [backup-simplify]: Simplify (log -1) into (log -1) 3.840 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.840 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.841 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.841 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.841 * [taylor]: Taking taylor expansion of -1 in N 3.841 * [backup-simplify]: Simplify -1 into -1 3.841 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.841 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.842 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.843 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (- 0) into 0 3.844 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.845 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 3.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.850 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.850 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 3.852 * [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)))))) 3.853 * [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)))))))) 3.854 * [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)))))))) 3.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (- 0) into 0 3.856 * [backup-simplify]: Simplify (+ 0 0) into 0 3.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.866 * [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 3.866 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.867 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 3.871 * [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)))))) 3.872 * [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)))))))) 3.873 * [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)))))))) 3.877 * [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)))) 3.877 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 3.877 * [backup-simplify]: Simplify (cbrt (* (+ N 1.0) N)) into (pow (* N (+ N 1.0)) 1/3) 3.877 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 3.877 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.877 * [taylor]: Taking taylor expansion of 1/3 in N 3.878 * [backup-simplify]: Simplify 1/3 into 1/3 3.878 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.878 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.878 * [taylor]: Taking taylor expansion of N in N 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.878 * [taylor]: Taking taylor expansion of N in N 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [taylor]: Taking taylor expansion of 1.0 in N 3.878 * [backup-simplify]: Simplify 1.0 into 1.0 3.878 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.878 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.878 * [backup-simplify]: Simplify (+ 1 0) into 1 3.879 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.880 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.880 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.880 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.881 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.881 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 3.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 3.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 3.881 * [taylor]: Taking taylor expansion of 1/3 in N 3.881 * [backup-simplify]: Simplify 1/3 into 1/3 3.881 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 3.881 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 3.881 * [taylor]: Taking taylor expansion of N in N 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.881 * [taylor]: Taking taylor expansion of N in N 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [taylor]: Taking taylor expansion of 1.0 in N 3.881 * [backup-simplify]: Simplify 1.0 into 1.0 3.881 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.881 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.882 * [backup-simplify]: Simplify (+ 1 0) into 1 3.883 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 3.883 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.883 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.884 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 3.884 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.884 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 3.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.889 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.889 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (+ (log 1.0) (log N)))) into 0.3333333333333333 3.892 * [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))))) 3.893 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 3.901 * [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)) 3.902 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 3.904 * [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)))) 3.911 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.913 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 3.916 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (+ (log 1.0) (log N))))) N) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)) (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) 3.916 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (/ (+ (/ 1 N) 1.0) N) 1/3) 3.916 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 3.916 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.916 * [taylor]: Taking taylor expansion of 1/3 in N 3.916 * [backup-simplify]: Simplify 1/3 into 1/3 3.916 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.916 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.916 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.916 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.916 * [taylor]: Taking taylor expansion of N in N 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (/ 1 1) into 1 3.917 * [taylor]: Taking taylor expansion of 1.0 in N 3.917 * [backup-simplify]: Simplify 1.0 into 1.0 3.917 * [taylor]: Taking taylor expansion of N in N 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (+ 1 0) into 1 3.917 * [backup-simplify]: Simplify (/ 1 1) into 1 3.917 * [backup-simplify]: Simplify (log 1) into 0 3.918 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.918 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.918 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.918 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 3.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 3.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 3.918 * [taylor]: Taking taylor expansion of 1/3 in N 3.918 * [backup-simplify]: Simplify 1/3 into 1/3 3.918 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 3.918 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 3.918 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.918 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.918 * [taylor]: Taking taylor expansion of N in N 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (/ 1 1) into 1 3.918 * [taylor]: Taking taylor expansion of 1.0 in N 3.918 * [backup-simplify]: Simplify 1.0 into 1.0 3.918 * [taylor]: Taking taylor expansion of N in N 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (+ 1 0) into 1 3.919 * [backup-simplify]: Simplify (/ 1 1) into 1 3.919 * [backup-simplify]: Simplify (log 1) into 0 3.919 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.919 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.919 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.920 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.920 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.921 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 3.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.925 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.926 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (* 2 (log N))))) into 0.3333333333333333 3.927 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.927 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)) 3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.935 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.936 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (* 2 (log N)))))) into (- 0.16666666666666666) 3.939 * [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)) 3.939 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 2)) 1/3)) 3.940 * [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))) 3.940 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) 3.940 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 3.940 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 3.940 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.940 * [taylor]: Taking taylor expansion of 1/3 in N 3.940 * [backup-simplify]: Simplify 1/3 into 1/3 3.940 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.940 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.940 * [taylor]: Taking taylor expansion of 1.0 in N 3.940 * [backup-simplify]: Simplify 1.0 into 1.0 3.940 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.940 * [taylor]: Taking taylor expansion of N in N 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.941 * [backup-simplify]: Simplify (/ 1 1) into 1 3.941 * [taylor]: Taking taylor expansion of N in N 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify 1 into 1 3.941 * [backup-simplify]: Simplify (- 1) into -1 3.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.941 * [backup-simplify]: Simplify (/ -1 1) into -1 3.942 * [backup-simplify]: Simplify (log -1) into (log -1) 3.942 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.942 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.943 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.943 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.943 * [taylor]: Taking taylor expansion of -1 in N 3.943 * [backup-simplify]: Simplify -1 into -1 3.943 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.944 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.944 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1.0 (/ 1 N)) N) 1/3) (cbrt -1)) in N 3.944 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 3.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 3.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 3.944 * [taylor]: Taking taylor expansion of 1/3 in N 3.944 * [backup-simplify]: Simplify 1/3 into 1/3 3.944 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 3.944 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 3.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.944 * [taylor]: Taking taylor expansion of 1.0 in N 3.944 * [backup-simplify]: Simplify 1.0 into 1.0 3.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.944 * [taylor]: Taking taylor expansion of N in N 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (/ 1 1) into 1 3.944 * [taylor]: Taking taylor expansion of N in N 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (- 1) into -1 3.945 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.945 * [backup-simplify]: Simplify (/ -1 1) into -1 3.945 * [backup-simplify]: Simplify (log -1) into (log -1) 3.946 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.946 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N)))) 3.946 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N))))) 3.946 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.946 * [taylor]: Taking taylor expansion of -1 in N 3.946 * [backup-simplify]: Simplify -1 into -1 3.947 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.947 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.948 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (cbrt -1)) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.948 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) 3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (- 0) into 0 3.949 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.951 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 3.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.955 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.955 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (* 2 (log N))))) into (- 0.3333333333333333) 3.958 * [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)))))) 3.959 * [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)))))))) 3.959 * [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)))))))) 3.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.961 * [backup-simplify]: Simplify (- 0) into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.975 * [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 3.976 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N))) 3.977 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 0.16666666666666666) 3.981 * [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)))))) 3.982 * [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)))))))) 3.983 * [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)))))))) 3.985 * [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)))) 3.985 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 3.985 * [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) 3.985 * [approximate]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in (N) around 0 3.986 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 3.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 3.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 3.986 * [taylor]: Taking taylor expansion of 1/3 in N 3.986 * [backup-simplify]: Simplify 1/3 into 1/3 3.986 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 3.986 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 3.986 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.986 * [taylor]: Taking taylor expansion of N in N 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 3.986 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.986 * [taylor]: Taking taylor expansion of N in N 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of 1.0 in N 3.986 * [backup-simplify]: Simplify 1.0 into 1.0 3.986 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.986 * [backup-simplify]: Simplify (* 1 1) into 1 3.987 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.987 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 3.987 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.988 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 3.988 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 3.989 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 3.989 * [taylor]: Taking taylor expansion of (pow (* (pow N 2) (pow (+ N 1.0) 2)) 1/3) in N 3.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2))))) in N 3.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow N 2) (pow (+ N 1.0) 2)))) in N 3.989 * [taylor]: Taking taylor expansion of 1/3 in N 3.989 * [backup-simplify]: Simplify 1/3 into 1/3 3.989 * [taylor]: Taking taylor expansion of (log (* (pow N 2) (pow (+ N 1.0) 2))) in N 3.989 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (+ N 1.0) 2)) in N 3.989 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.989 * [taylor]: Taking taylor expansion of N in N 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 3.989 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.989 * [taylor]: Taking taylor expansion of N in N 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [taylor]: Taking taylor expansion of 1.0 in N 3.989 * [backup-simplify]: Simplify 1.0 into 1.0 3.990 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.990 * [backup-simplify]: Simplify (* 1 1) into 1 3.991 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 3.991 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 3.991 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.992 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 3.993 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (* 2 (log N)))) into (* 1/3 (+ (log 1.0) (* 2 (log N)))) 3.993 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 3.994 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) into (exp (* 1/3 (+ (log 1.0) (* 2 (log N))))) 3.994 * [backup-simplify]: Simplify (+ 1 0) into 1 3.996 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.998 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1.0)) into 2.0 4.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 4.005 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.005 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (+ (log 1.0) (* 2 (log N))))) into 0.6666666666666666 4.007 * [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)))))) 4.007 * [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)))))) 4.008 * [backup-simplify]: Simplify (+ 0 0) into 0 4.008 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 2.0) (* 0 1.0))) into 1 4.019 * [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))))) 4.020 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) (log 1.0)) into (+ (log 1.0) (* 2 (log N))) 4.027 * [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)))) 4.034 * [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))))) 4.036 * [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))))) 4.039 * [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)))) 4.039 * [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) 4.039 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in (N) around 0 4.039 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.039 * [taylor]: Taking taylor expansion of 1/3 in N 4.039 * [backup-simplify]: Simplify 1/3 into 1/3 4.039 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.039 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.039 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.039 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.039 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.039 * [taylor]: Taking taylor expansion of N in N 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [taylor]: Taking taylor expansion of 1.0 in N 4.040 * [backup-simplify]: Simplify 1.0 into 1.0 4.040 * [backup-simplify]: Simplify (+ 1 0) into 1 4.040 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.040 * [taylor]: Taking taylor expansion of N in N 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (* 1 1) into 1 4.040 * [backup-simplify]: Simplify (* 1 1) into 1 4.041 * [backup-simplify]: Simplify (/ 1 1) into 1 4.041 * [backup-simplify]: Simplify (log 1) into 0 4.041 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.041 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.041 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.041 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) 1/3) in N 4.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))))) in N 4.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)))) in N 4.041 * [taylor]: Taking taylor expansion of 1/3 in N 4.041 * [backup-simplify]: Simplify 1/3 into 1/3 4.041 * [taylor]: Taking taylor expansion of (log (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2))) in N 4.041 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 N) 1.0) 2) (pow N 2)) in N 4.041 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 4.041 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.041 * [taylor]: Taking taylor expansion of N in N 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (/ 1 1) into 1 4.042 * [taylor]: Taking taylor expansion of 1.0 in N 4.042 * [backup-simplify]: Simplify 1.0 into 1.0 4.042 * [backup-simplify]: Simplify (+ 1 0) into 1 4.042 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.042 * [taylor]: Taking taylor expansion of N in N 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (* 1 1) into 1 4.043 * [backup-simplify]: Simplify (* 1 1) into 1 4.043 * [backup-simplify]: Simplify (/ 1 1) into 1 4.043 * [backup-simplify]: Simplify (log 1) into 0 4.043 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.043 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.043 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.044 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.045 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.047 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 4.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 4.052 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.052 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (* 4 (log N))))) into 0.6666666666666666 4.054 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.055 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) into (* 0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.060 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1.0 4.069 * [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 4.070 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.070 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 4.073 * [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)) 4.073 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) into (* -0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3)) 4.074 * [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))) 4.074 * [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)) 4.074 * [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 4.074 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.074 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 4.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 4.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 4.074 * [taylor]: Taking taylor expansion of 1/3 in N 4.074 * [backup-simplify]: Simplify 1/3 into 1/3 4.074 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 4.074 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 4.074 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 4.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.075 * [taylor]: Taking taylor expansion of 1.0 in N 4.075 * [backup-simplify]: Simplify 1.0 into 1.0 4.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.075 * [taylor]: Taking taylor expansion of N in N 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (/ 1 1) into 1 4.075 * [backup-simplify]: Simplify (- 1) into -1 4.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.075 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.075 * [taylor]: Taking taylor expansion of N in N 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (* -1 -1) into 1 4.076 * [backup-simplify]: Simplify (* 1 1) into 1 4.076 * [backup-simplify]: Simplify (/ 1 1) into 1 4.076 * [backup-simplify]: Simplify (log 1) into 0 4.077 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.077 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.077 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.077 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.077 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.077 * [taylor]: Taking taylor expansion of -1 in N 4.077 * [backup-simplify]: Simplify -1 into -1 4.077 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.078 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.078 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 4.078 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) 1/3) in N 4.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))))) in N 4.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)))) in N 4.078 * [taylor]: Taking taylor expansion of 1/3 in N 4.078 * [backup-simplify]: Simplify 1/3 into 1/3 4.078 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2))) in N 4.078 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow N 2)) in N 4.078 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 4.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.078 * [taylor]: Taking taylor expansion of 1.0 in N 4.078 * [backup-simplify]: Simplify 1.0 into 1.0 4.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.078 * [taylor]: Taking taylor expansion of N in N 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (/ 1 1) into 1 4.078 * [backup-simplify]: Simplify (- 1) into -1 4.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.079 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.079 * [taylor]: Taking taylor expansion of N in N 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [backup-simplify]: Simplify (* -1 -1) into 1 4.079 * [backup-simplify]: Simplify (* 1 1) into 1 4.079 * [backup-simplify]: Simplify (/ 1 1) into 1 4.080 * [backup-simplify]: Simplify (log 1) into 0 4.080 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.080 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 4.080 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 4.080 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 4.080 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.080 * [taylor]: Taking taylor expansion of -1 in N 4.080 * [backup-simplify]: Simplify -1 into -1 4.080 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.081 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.082 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 4.082 * [backup-simplify]: Simplify (* (pow N -4/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 4)) 1/3) (pow (cbrt -1) 2)) 4.083 * [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)) 4.084 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (- 0) into 0 4.085 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.086 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.087 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 0 1)))) into (- 2.0) 4.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1 1)))) 1) into -2.0 4.094 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.094 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (* 4 (log N))))) into (- 0.6666666666666666) 4.097 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (pow (/ 1 (pow N 4)) 1/3)) 4.099 * [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)))) 4.100 * [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)))) 4.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.103 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (- 0) into 0 4.104 * [backup-simplify]: Simplify (+ 0 0) into 0 4.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.111 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)) (* (- 2.0) (/ 0 1)))) into 1.0 4.125 * [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 4.126 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 4.127 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 -2.0) (* 0 (- (* 4 (log N)))))) into (- 0.3333333333333333) 4.133 * [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)) 4.135 * [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)))) 4.137 * [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)))) 4.142 * [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)))) 4.142 * * * [progress]: simplifying candidates 4.144 * [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)))) 4.147 * * [simplify]: iteration 0: 152 enodes 4.206 * * [simplify]: iteration 1: 380 enodes 4.366 * * [simplify]: iteration 2: 1583 enodes 4.782 * * [simplify]: iteration complete: 5001 enodes 4.782 * * [simplify]: Extracting #0: cost 44 inf + 0 4.783 * * [simplify]: Extracting #1: cost 751 inf + 3 4.799 * * [simplify]: Extracting #2: cost 1454 inf + 2158 4.814 * * [simplify]: Extracting #3: cost 1830 inf + 29221 4.843 * * [simplify]: Extracting #4: cost 1087 inf + 207926 4.903 * * [simplify]: Extracting #5: cost 395 inf + 451039 4.976 * * [simplify]: Extracting #6: cost 174 inf + 486106 5.054 * * [simplify]: Extracting #7: cost 101 inf + 501315 5.136 * * [simplify]: Extracting #8: cost 65 inf + 510919 5.235 * * [simplify]: Extracting #9: cost 22 inf + 532482 5.329 * * [simplify]: Extracting #10: cost 1 inf + 545200 5.422 * * [simplify]: Extracting #11: cost 0 inf + 544369 5.545 * * [simplify]: Extracting #12: cost 0 inf + 544330 5.654 * [simplify]: Simplified to: (log (cbrt (* N (+ 1.0 N)))) (exp (cbrt (* N (+ 1.0 N)))) (cbrt (+ 1.0 N)) (cbrt N) (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (+ 1.0 N) (* (- N 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 (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (+ 1.0 N) (* (- N 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 (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (+ 1.0 N) (* (- N 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)))) (log (cbrt (* N (+ 1.0 N))))) (+ (log (cbrt (* N (+ 1.0 N)))) (log (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 (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)) (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))) (* (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))) (* (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)) (cbrt (* (+ 1.0 N) (* (- N 1.0) N)))) (* (cbrt (- N 1.0)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))) (* (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N)) (cbrt (* (+ 1.0 N) (* (- N 1.0) N)))) (* (cbrt (- N 1.0)) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N)))) (* (cbrt (* (+ 1.0 N) (* (- N 1.0) N))) (cbrt (* (+ 1.0 N) (* (- N 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 (+ 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))))) (* (sqrt (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N)))) (cbrt (* N (+ 1.0 N))) (* (cbrt (* N (+ 1.0 N))) (cbrt 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 (+ 1.0 N))) (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* (+ 1.0 N) (* (- N 1.0) N)))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* (+ (* 1.0 (* 1.0 1.0)) (* (* N N) N)) N))) (* (cbrt (* N (+ 1.0 N))) (cbrt (* (+ 1.0 N) (* (- N 1.0) N)))) (+ (* (exp (* 1/3 (+ (log N) (log 1.0)))) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (+ (exp (* 1/3 (+ (log N) (log 1.0)))) (* -1/6 (/ (exp (* 1/3 (+ (log N) (log 1.0)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ (/ 1 (* N N)) (* N N))))) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (- (* 0.3333333333333333 (* (/ (cbrt -1) N) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))) (/ 0.1111111111111111 (* (/ N (cbrt -1)) (/ N (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))) (+ (* (exp (* 1/3 (+ (log N) (log 1.0)))) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (+ (exp (* 1/3 (+ (log N) (log 1.0)))) (* -1/6 (/ (exp (* 1/3 (+ (log N) (log 1.0)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ (/ 1 (* N N)) (* N N))))) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (- (* 0.3333333333333333 (* (/ (cbrt -1) N) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))) (/ 0.1111111111111111 (* (/ N (cbrt -1)) (/ N (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))) (+ (* (exp (* 1/3 (+ (log N) (log 1.0)))) (+ (* 0.3333333333333333 N) (* 0.05555555555555555 (* N N)))) (+ (exp (* 1/3 (+ (log N) (log 1.0)))) (* -1/6 (/ (exp (* 1/3 (+ (log N) (log 1.0)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (- (pow (/ 1 N) -2/3) (* 0.1111111111111111 (cbrt (/ (/ 1 (* N N)) (* N N))))) (* (cbrt (/ 1 N)) 0.3333333333333333)) (+ (- (* 0.3333333333333333 (* (/ (cbrt -1) N) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))) (/ 0.1111111111111111 (* (/ N (cbrt -1)) (/ N (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))))) (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (- (log -1) (log N)))))))) (+ (+ (* (exp (+ (* 1/3 (log 1.0)) (* 2/3 (log N)))) (* (* N N) 0.5555555555555556)) (exp (+ (* 1/3 (log 1.0)) (* 2/3 (log N))))) (* 0.6666666666666666 (- (* (exp (+ (* 1/3 (log 1.0)) (* 2/3 (log N)))) N) (/ (exp (+ (* 1/3 (log 1.0)) (* 2/3 (log N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (- (+ (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)))))) 5.664 * * * [progress]: adding candidates to table 6.142 * * [progress]: iteration 4 / 4 6.142 * * * [progress]: picking best candidate 6.161 * * * * [pick]: Picked # 6.162 * * * [progress]: localizing error 6.184 * * * [progress]: generating rewritten candidates 6.184 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.184 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 6.188 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 6.191 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 6.197 * * * [progress]: generating series expansions 6.197 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.197 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 6.197 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 6.197 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 6.197 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 6.198 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 6.198 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 6.198 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 6.198 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 N) 1.0)) (cbrt (+ (/ 1 N) 1.0))) (* (cbrt (+ (/ 1 N) 1.0)) (/ 1 N))))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 6.199 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 6.199 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 6.199 * [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))) 6.199 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 6.199 * [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))) 6.199 * [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))) 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [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))) 6.200 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1.0)) (cbrt (+ (/ 1 (- N)) 1.0))) (* (cbrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N)))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 6.200 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 6.200 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 6.200 * [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)))) 6.200 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 6.200 * [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)))) 6.200 * [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)))) 6.200 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [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))) 6.201 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 6.201 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 6.201 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 6.201 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.201 * [taylor]: Taking taylor expansion of 1/3 in N 6.201 * [backup-simplify]: Simplify 1/3 into 1/3 6.201 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.201 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.201 * [taylor]: Taking taylor expansion of N in N 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [taylor]: Taking taylor expansion of 1.0 in N 6.201 * [backup-simplify]: Simplify 1.0 into 1.0 6.202 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.202 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.202 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.203 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.203 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.203 * [taylor]: Taking taylor expansion of 1/3 in N 6.203 * [backup-simplify]: Simplify 1/3 into 1/3 6.203 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.204 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.204 * [taylor]: Taking taylor expansion of N in N 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.204 * [taylor]: Taking taylor expansion of 1.0 in N 6.204 * [backup-simplify]: Simplify 1.0 into 1.0 6.204 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.204 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.205 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.206 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.206 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 6.206 * [backup-simplify]: Simplify (+ 1 0) into 1 6.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.210 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 6.213 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 6.214 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 6.214 * [backup-simplify]: Simplify (+ 0 0) into 0 6.220 * [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)) 6.222 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 6.239 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 6.242 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 6.246 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 6.246 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 6.246 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 6.246 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.246 * [taylor]: Taking taylor expansion of 1/3 in N 6.246 * [backup-simplify]: Simplify 1/3 into 1/3 6.246 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.246 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.246 * [taylor]: Taking taylor expansion of N in N 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify 1 into 1 6.246 * [backup-simplify]: Simplify (/ 1 1) into 1 6.246 * [taylor]: Taking taylor expansion of 1.0 in N 6.246 * [backup-simplify]: Simplify 1.0 into 1.0 6.247 * [backup-simplify]: Simplify (+ 1 0) into 1 6.247 * [backup-simplify]: Simplify (log 1) into 0 6.247 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.247 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.247 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.247 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.247 * [taylor]: Taking taylor expansion of 1/3 in N 6.247 * [backup-simplify]: Simplify 1/3 into 1/3 6.247 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.247 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.247 * [taylor]: Taking taylor expansion of N in N 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (/ 1 1) into 1 6.248 * [taylor]: Taking taylor expansion of 1.0 in N 6.248 * [backup-simplify]: Simplify 1.0 into 1.0 6.248 * [backup-simplify]: Simplify (+ 1 0) into 1 6.248 * [backup-simplify]: Simplify (log 1) into 0 6.249 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.249 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.249 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.249 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.250 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.254 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 6.255 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 6.255 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 6.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (+ 0 0) into 0 6.264 * [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 6.264 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.265 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 6.268 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 6.268 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 6.269 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 6.269 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 6.269 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 6.269 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.269 * [taylor]: Taking taylor expansion of 1/3 in N 6.269 * [backup-simplify]: Simplify 1/3 into 1/3 6.269 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.269 * [taylor]: Taking taylor expansion of 1.0 in N 6.269 * [backup-simplify]: Simplify 1.0 into 1.0 6.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.269 * [taylor]: Taking taylor expansion of N in N 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (/ 1 1) into 1 6.270 * [backup-simplify]: Simplify (- 1) into -1 6.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.270 * [backup-simplify]: Simplify (log -1) into (log -1) 6.271 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.271 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 6.271 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 6.271 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.272 * [taylor]: Taking taylor expansion of 1/3 in N 6.272 * [backup-simplify]: Simplify 1/3 into 1/3 6.272 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.272 * [taylor]: Taking taylor expansion of 1.0 in N 6.272 * [backup-simplify]: Simplify 1.0 into 1.0 6.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.272 * [taylor]: Taking taylor expansion of N in N 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 1 into 1 6.272 * [backup-simplify]: Simplify (/ 1 1) into 1 6.272 * [backup-simplify]: Simplify (- 1) into -1 6.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.273 * [backup-simplify]: Simplify (log -1) into (log -1) 6.273 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.273 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 6.274 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 6.274 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (- 0) into 0 6.275 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.279 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.280 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 6.282 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 6.283 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 6.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (- 0) into 0 6.284 * [backup-simplify]: Simplify (+ 0 0) into 0 6.292 * [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 6.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.293 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 6.297 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 6.298 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 6.299 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 6.299 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 6.299 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 6.299 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 6.299 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.299 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.299 * [taylor]: Taking taylor expansion of 1/3 in N 6.299 * [backup-simplify]: Simplify 1/3 into 1/3 6.299 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.299 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.299 * [taylor]: Taking taylor expansion of N in N 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 1 into 1 6.299 * [taylor]: Taking taylor expansion of 1.0 in N 6.299 * [backup-simplify]: Simplify 1.0 into 1.0 6.299 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.300 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.300 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.301 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.301 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.301 * [taylor]: Taking taylor expansion of 1/3 in N 6.301 * [backup-simplify]: Simplify 1/3 into 1/3 6.301 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.301 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.301 * [taylor]: Taking taylor expansion of N in N 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 1 into 1 6.301 * [taylor]: Taking taylor expansion of 1.0 in N 6.301 * [backup-simplify]: Simplify 1.0 into 1.0 6.302 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.302 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.302 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.303 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.304 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 6.304 * [backup-simplify]: Simplify (+ 1 0) into 1 6.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.308 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 6.312 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 6.313 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 6.313 * [backup-simplify]: Simplify (+ 0 0) into 0 6.323 * [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)) 6.325 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 6.334 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 6.336 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 6.340 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 6.341 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 6.341 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 6.341 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.341 * [taylor]: Taking taylor expansion of 1/3 in N 6.341 * [backup-simplify]: Simplify 1/3 into 1/3 6.341 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.341 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.341 * [taylor]: Taking taylor expansion of N in N 6.341 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify 1 into 1 6.341 * [backup-simplify]: Simplify (/ 1 1) into 1 6.341 * [taylor]: Taking taylor expansion of 1.0 in N 6.341 * [backup-simplify]: Simplify 1.0 into 1.0 6.342 * [backup-simplify]: Simplify (+ 1 0) into 1 6.342 * [backup-simplify]: Simplify (log 1) into 0 6.342 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.342 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.342 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.342 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.342 * [taylor]: Taking taylor expansion of 1/3 in N 6.342 * [backup-simplify]: Simplify 1/3 into 1/3 6.342 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.342 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.342 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.342 * [taylor]: Taking taylor expansion of N in N 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 1 into 1 6.343 * [backup-simplify]: Simplify (/ 1 1) into 1 6.343 * [taylor]: Taking taylor expansion of 1.0 in N 6.343 * [backup-simplify]: Simplify 1.0 into 1.0 6.343 * [backup-simplify]: Simplify (+ 1 0) into 1 6.343 * [backup-simplify]: Simplify (log 1) into 0 6.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.344 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.344 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.344 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 6.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.348 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.349 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 6.350 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 6.350 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 6.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.351 * [backup-simplify]: Simplify (+ 0 0) into 0 6.357 * [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 6.358 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.358 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 6.362 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 6.362 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 6.362 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 6.362 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 6.362 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 6.362 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.362 * [taylor]: Taking taylor expansion of 1/3 in N 6.362 * [backup-simplify]: Simplify 1/3 into 1/3 6.362 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.362 * [taylor]: Taking taylor expansion of 1.0 in N 6.362 * [backup-simplify]: Simplify 1.0 into 1.0 6.362 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.362 * [taylor]: Taking taylor expansion of N in N 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify 1 into 1 6.363 * [backup-simplify]: Simplify (/ 1 1) into 1 6.363 * [backup-simplify]: Simplify (- 1) into -1 6.363 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.363 * [backup-simplify]: Simplify (log -1) into (log -1) 6.364 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.364 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 6.365 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 6.365 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.365 * [taylor]: Taking taylor expansion of 1/3 in N 6.365 * [backup-simplify]: Simplify 1/3 into 1/3 6.365 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.365 * [taylor]: Taking taylor expansion of 1.0 in N 6.365 * [backup-simplify]: Simplify 1.0 into 1.0 6.365 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.365 * [taylor]: Taking taylor expansion of N in N 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 1 into 1 6.365 * [backup-simplify]: Simplify (/ 1 1) into 1 6.365 * [backup-simplify]: Simplify (- 1) into -1 6.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.366 * [backup-simplify]: Simplify (log -1) into (log -1) 6.366 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.367 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 6.367 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 6.367 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 6.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (- 0) into 0 6.368 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.373 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.373 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 6.375 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 6.375 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 6.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.376 * [backup-simplify]: Simplify (- 0) into 0 6.376 * [backup-simplify]: Simplify (+ 0 0) into 0 6.383 * [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 6.383 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.384 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 6.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 6.388 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 6.389 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 6.389 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 6.390 * [backup-simplify]: Simplify (cbrt (+ N 1.0)) into (pow (+ N 1.0) 1/3) 6.390 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 6.390 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.390 * [taylor]: Taking taylor expansion of 1/3 in N 6.390 * [backup-simplify]: Simplify 1/3 into 1/3 6.390 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.390 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.390 * [taylor]: Taking taylor expansion of N in N 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 1 into 1 6.390 * [taylor]: Taking taylor expansion of 1.0 in N 6.390 * [backup-simplify]: Simplify 1.0 into 1.0 6.390 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.390 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.391 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.392 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.392 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 6.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 6.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 6.392 * [taylor]: Taking taylor expansion of 1/3 in N 6.392 * [backup-simplify]: Simplify 1/3 into 1/3 6.392 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.392 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.392 * [taylor]: Taking taylor expansion of N in N 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify 1 into 1 6.392 * [taylor]: Taking taylor expansion of 1.0 in N 6.392 * [backup-simplify]: Simplify 1.0 into 1.0 6.392 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.393 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.393 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.394 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.394 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 6.395 * [backup-simplify]: Simplify (+ 1 0) into 1 6.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.399 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 6.402 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 6.408 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 6.409 * [backup-simplify]: Simplify (+ 0 0) into 0 6.416 * [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)) 6.418 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 6.426 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 6.429 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 6.433 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) N) (pow 1.0 1/3))) into (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 6.433 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1.0)) into (pow (+ (/ 1 N) 1.0) 1/3) 6.433 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 6.433 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.433 * [taylor]: Taking taylor expansion of 1/3 in N 6.433 * [backup-simplify]: Simplify 1/3 into 1/3 6.433 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.433 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.433 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.434 * [taylor]: Taking taylor expansion of N in N 6.434 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify 1 into 1 6.434 * [backup-simplify]: Simplify (/ 1 1) into 1 6.434 * [taylor]: Taking taylor expansion of 1.0 in N 6.434 * [backup-simplify]: Simplify 1.0 into 1.0 6.434 * [backup-simplify]: Simplify (+ 1 0) into 1 6.434 * [backup-simplify]: Simplify (log 1) into 0 6.435 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.435 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.435 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.435 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 6.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 6.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 6.435 * [taylor]: Taking taylor expansion of 1/3 in N 6.435 * [backup-simplify]: Simplify 1/3 into 1/3 6.435 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.435 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.435 * [taylor]: Taking taylor expansion of N in N 6.435 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify 1 into 1 6.435 * [backup-simplify]: Simplify (/ 1 1) into 1 6.435 * [taylor]: Taking taylor expansion of 1.0 in N 6.435 * [backup-simplify]: Simplify 1.0 into 1.0 6.435 * [backup-simplify]: Simplify (+ 1 0) into 1 6.436 * [backup-simplify]: Simplify (log 1) into 0 6.436 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.436 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 6.436 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 6.436 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.437 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.441 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.441 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 6.443 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 6.443 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/3)) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 6.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.444 * [backup-simplify]: Simplify (+ 0 0) into 0 6.450 * [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 6.450 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.451 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 6.454 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 6.455 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 6.455 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 6.455 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1.0)) into (pow (- 1.0 (/ 1 N)) 1/3) 6.455 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 6.455 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.455 * [taylor]: Taking taylor expansion of 1/3 in N 6.455 * [backup-simplify]: Simplify 1/3 into 1/3 6.455 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.455 * [taylor]: Taking taylor expansion of 1.0 in N 6.455 * [backup-simplify]: Simplify 1.0 into 1.0 6.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.455 * [taylor]: Taking taylor expansion of N in N 6.455 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify 1 into 1 6.456 * [backup-simplify]: Simplify (/ 1 1) into 1 6.456 * [backup-simplify]: Simplify (- 1) into -1 6.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.456 * [backup-simplify]: Simplify (log -1) into (log -1) 6.457 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.457 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 6.458 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 6.458 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 6.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 6.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 6.458 * [taylor]: Taking taylor expansion of 1/3 in N 6.458 * [backup-simplify]: Simplify 1/3 into 1/3 6.458 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.458 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.458 * [taylor]: Taking taylor expansion of 1.0 in N 6.458 * [backup-simplify]: Simplify 1.0 into 1.0 6.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.458 * [taylor]: Taking taylor expansion of N in N 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.458 * [backup-simplify]: Simplify (/ 1 1) into 1 6.458 * [backup-simplify]: Simplify (- 1) into -1 6.459 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.459 * [backup-simplify]: Simplify (log -1) into (log -1) 6.459 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.460 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 6.460 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 6.460 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 6.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.461 * [backup-simplify]: Simplify (- 0) into 0 6.461 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.466 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.467 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log N)))) into (- 0.3333333333333333) 6.470 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 6.471 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log N))))) 6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.472 * [backup-simplify]: Simplify (- 0) into 0 6.472 * [backup-simplify]: Simplify (+ 0 0) into 0 6.482 * [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 6.483 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.484 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log N))))) into (- 0.16666666666666666) 6.487 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 6.488 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log N))))) 6.489 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 6.489 * * * [progress]: simplifying candidates 6.490 * [simplify]: Simplifying: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (+ (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 6.491 * * [simplify]: iteration 0: 92 enodes 6.514 * * [simplify]: iteration 1: 201 enodes 6.565 * * [simplify]: iteration 2: 588 enodes 6.893 * * [simplify]: iteration 3: 2221 enodes 7.470 * * [simplify]: iteration complete: 5001 enodes 7.470 * * [simplify]: Extracting #0: cost 24 inf + 0 7.470 * * [simplify]: Extracting #1: cost 83 inf + 1 7.472 * * [simplify]: Extracting #2: cost 815 inf + 86 7.479 * * [simplify]: Extracting #3: cost 1622 inf + 13286 7.502 * * [simplify]: Extracting #4: cost 965 inf + 96759 7.533 * * [simplify]: Extracting #5: cost 701 inf + 187187 7.586 * * [simplify]: Extracting #6: cost 616 inf + 219236 7.624 * * [simplify]: Extracting #7: cost 499 inf + 250726 7.678 * * [simplify]: Extracting #8: cost 192 inf + 397766 7.738 * * [simplify]: Extracting #9: cost 4 inf + 501199 7.802 * * [simplify]: Extracting #10: cost 0 inf + 501764 7.877 * * [simplify]: Extracting #11: cost 0 inf + 501393 7.937 * [simplify]: Simplified to: (log (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (exp (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (* (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1)))) (cbrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (* (* (atan2 1.0 (+ (* (+ N 1.0) N) 1)) (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (sqrt (atan2 1.0 (+ (* (+ N 1.0) N) 1))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (* (* N N) N) (* 1.0 (* 1.0 1.0)))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (+ N 1.0) (- N 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (* (* N N) N) (* 1.0 (* 1.0 1.0)))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (+ N 1.0) (- N 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (* (* N N) N) (* 1.0 (* 1.0 1.0)))) (cbrt (+ (* 1.0 (- 1.0 N)) (* N N))) (cbrt (* (+ N 1.0) (- N 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (atan2 1.0 (+ 1 (* N (+ 1.0 N)))) (- (+ (* (* (cbrt 1.0) N) (+ (* 0.05555555555555555 N) 0.3333333333333333)) (cbrt 1.0)) (* (* 1/6 N) (* (cbrt (/ 1 (pow 1.0 5))) N))) (+ (- (* (cbrt (/ 1 (* N N))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5))))) (pow (/ 1 N) -1/3)) (- (cbrt N) (* (/ (cbrt N) N) (- (/ 0.1111111111111111 N) 0.3333333333333333))) (- (+ (* (* (cbrt 1.0) N) (+ (* 0.05555555555555555 N) 0.3333333333333333)) (cbrt 1.0)) (* (* 1/6 N) (* (cbrt (/ 1 (pow 1.0 5))) N))) (+ (- (* (cbrt (/ 1 (* N N))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5))))) (pow (/ 1 N) -1/3)) (- (cbrt N) (* (/ (cbrt N) N) (- (/ 0.1111111111111111 N) 0.3333333333333333))) (- (+ (* (* (cbrt 1.0) N) (+ (* 0.05555555555555555 N) 0.3333333333333333)) (cbrt 1.0)) (* (* 1/6 N) (* (cbrt (/ 1 (pow 1.0 5))) N))) (+ (- (* (cbrt (/ 1 (* N N))) 0.3333333333333333) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5))))) (pow (/ 1 N) -1/3)) (- (cbrt N) (* (/ (cbrt N) N) (- (/ 0.1111111111111111 N) 0.3333333333333333))) 7.942 * * * [progress]: adding candidates to table 8.221 * [progress]: [Phase 3 of 3] Extracting. 8.221 * * [regime]: Finding splitpoints for: (# # # # # #) 8.222 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.222 * * * * [regimes]: Trying to branch on N from (# # # # # #) 8.264 * * * [regime]: Found split indices: #