0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.037 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.037 * * [simplify]: iteration 1: (6 enodes) 0.048 * * [simplify]: iteration 2: (23 enodes) 0.052 * * [simplify]: iteration 3: (28 enodes) 0.059 * * [simplify]: Extracting #0: cost 1 inf + 0 0.059 * * [simplify]: Extracting #1: cost 5 inf + 0 0.059 * * [simplify]: Extracting #2: cost 10 inf + 0 0.059 * * [simplify]: Extracting #3: cost 11 inf + 1 0.059 * * [simplify]: Extracting #4: cost 6 inf + 298 0.060 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.060 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.060 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.083 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.088 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.088 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.088 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.089 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.089 * [taylor]: Taking taylor expansion of (atan N) in N 0.089 * [backup-simplify]: Simplify (atan N) into (atan N) 0.089 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.089 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.089 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.089 * [taylor]: Taking taylor expansion of (atan N) in N 0.089 * [backup-simplify]: Simplify (atan N) into (atan N) 0.089 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.089 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.089 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.093 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.093 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.093 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.093 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.093 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.093 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.093 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.094 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.094 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.094 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.094 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.094 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.094 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.097 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.097 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.097 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.097 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.097 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.098 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.098 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.098 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.098 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.098 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.098 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.098 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.101 * * * [progress]: simplifying candidates 0.101 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 0.101 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.102 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 0.102 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 0.102 * [simplify]: Simplifying: (- (+ N 1) N) (+ 1 (* (+ N 1) N)) (/ (exp (atan (+ N 1))) (exp (atan N))) (log (- (atan (+ N 1)) (atan N))) (exp (- (atan (+ N 1)) (atan N))) (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N))) (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N)) (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) 0.103 * * [simplify]: iteration 1: (36 enodes) 0.111 * * [simplify]: iteration 2: (140 enodes) 0.141 * * [simplify]: iteration 3: (230 enodes) 0.189 * * [simplify]: iteration 4: (380 enodes) 0.298 * * [simplify]: iteration 5: (690 enodes) 0.555 * * [simplify]: iteration 6: (1631 enodes) 1.778 * * [simplify]: Extracting #0: cost 17 inf + 0 1.778 * * [simplify]: Extracting #1: cost 215 inf + 1 1.781 * * [simplify]: Extracting #2: cost 802 inf + 7011 1.798 * * [simplify]: Extracting #3: cost 828 inf + 105002 1.895 * * [simplify]: Extracting #4: cost 496 inf + 289342 1.987 * * [simplify]: Extracting #5: cost 200 inf + 558919 2.113 * * [simplify]: Extracting #6: cost 9 inf + 742639 2.260 * * [simplify]: Extracting #7: cost 0 inf + 748663 2.383 * * [simplify]: Extracting #8: cost 0 inf + 748623 2.530 * [simplify]: Simplified to: 1 (+ 1 (* N (+ 1 N))) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (atan N) (* (atan N) (atan N)))) (+ (* (atan N) (atan N)) (* (atan (+ 1 N)) (+ (atan N) (atan (+ 1 N))))) (- (atan N)) (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) (+ (atan N) (atan (+ 1 N))) (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) 2.532 * * * [progress]: adding candidates to table 2.686 * * [progress]: iteration 2 / 4 2.686 * * * [progress]: picking best candidate 2.688 * * * * [pick]: Picked # 2.688 * * * [progress]: localizing error 2.698 * * * [progress]: generating rewritten candidates 2.698 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.699 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.713 * * * [progress]: generating series expansions 2.713 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.713 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.713 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.713 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.713 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.713 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.713 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.713 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.714 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.714 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.714 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.714 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.714 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.714 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.714 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.715 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.715 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.715 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.715 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.715 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.715 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.715 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.715 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.715 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 2.716 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 2.716 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.716 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.716 * [taylor]: Taking taylor expansion of N in N 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of 1 in N 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of N in N 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.716 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.716 * [taylor]: Taking taylor expansion of N in N 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of 1 in N 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [taylor]: Taking taylor expansion of N in N 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [backup-simplify]: Simplify (+ 0 1) into 1 2.717 * [backup-simplify]: Simplify (* 1 0) into 0 2.717 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (+ 1 0) into 1 2.723 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 2.724 * [backup-simplify]: Simplify 1 into 1 2.725 * [backup-simplify]: Simplify (+ 0 0) into 0 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify (+ 0 0) into 0 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify (+ 0 0) into 0 2.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (+ 0 0) into 0 2.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (+ 0 0) into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 2.733 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 2.733 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 2.733 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.733 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.733 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.733 * [taylor]: Taking taylor expansion of N in N 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.734 * [taylor]: Taking taylor expansion of 1 in N 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [taylor]: Taking taylor expansion of N in N 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (+ 1 0) into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.734 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.734 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.734 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.734 * [taylor]: Taking taylor expansion of N in N 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [taylor]: Taking taylor expansion of 1 in N 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [taylor]: Taking taylor expansion of N in N 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (+ 1 0) into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 1) into 1 2.737 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ 0 0) into 0 2.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ 0 0) into 0 2.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [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 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 2.745 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 2.746 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 2.746 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.746 * [taylor]: Taking taylor expansion of -1 in N 2.746 * [backup-simplify]: Simplify -1 into -1 2.746 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.746 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.746 * [taylor]: Taking taylor expansion of 1 in N 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.746 * [taylor]: Taking taylor expansion of N in N 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [taylor]: Taking taylor expansion of N in N 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (- 1) into -1 2.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.747 * [backup-simplify]: Simplify (/ -1 1) into -1 2.747 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.747 * [taylor]: Taking taylor expansion of -1 in N 2.747 * [backup-simplify]: Simplify -1 into -1 2.747 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.747 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.747 * [taylor]: Taking taylor expansion of 1 in N 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.747 * [taylor]: Taking taylor expansion of N in N 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [taylor]: Taking taylor expansion of N in N 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (- 1) into -1 2.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.748 * [backup-simplify]: Simplify (/ -1 1) into -1 2.748 * [backup-simplify]: Simplify (* -1 -1) into 1 2.748 * [backup-simplify]: Simplify 1 into 1 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (- 0) into 0 2.749 * [backup-simplify]: Simplify (+ 1 0) into 1 2.750 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 2.750 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.750 * [backup-simplify]: Simplify -1 into -1 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (- 0) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (- 0) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (- 0) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (- 0) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.762 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (- 0) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [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 2.765 * [backup-simplify]: Simplify (- 0) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 2.768 * * * [progress]: simplifying candidates 2.768 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 2.768 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 2.768 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 2.768 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 2.768 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 2.768 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 2.768 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 2.768 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.768 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 2.768 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 2.768 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 2.769 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 2.769 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 2.770 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) (* (+ N 1) N) (+ (log (+ N 1)) (log N)) (log (* (+ N 1) N)) (exp (* (+ N 1) N)) (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)) (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)) (* (+ N 1) (* (cbrt N) (cbrt N))) (* (+ N 1) (sqrt N)) (* (+ N 1) 1) (* (cbrt (+ N 1)) N) (* (sqrt (+ N 1)) N) (* (+ N 1) N) (* (+ N 1) N) (* (+ (pow N 3) (pow 1 3)) N) (* (- (* N N) (* 1 1)) N) (real->posit16 (* (+ N 1) N)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 2.770 * * [simplify]: iteration 1: (55 enodes) 2.788 * * [simplify]: iteration 2: (213 enodes) 2.842 * * [simplify]: iteration 3: (416 enodes) 3.035 * * [simplify]: iteration 4: (809 enodes) 3.667 * * [simplify]: Extracting #0: cost 24 inf + 0 3.668 * * [simplify]: Extracting #1: cost 157 inf + 0 3.671 * * [simplify]: Extracting #2: cost 439 inf + 836 3.678 * * [simplify]: Extracting #3: cost 375 inf + 15576 3.706 * * [simplify]: Extracting #4: cost 66 inf + 95350 3.732 * * [simplify]: Extracting #5: cost 1 inf + 112750 3.752 * * [simplify]: Extracting #6: cost 0 inf + 112786 3.785 * [simplify]: Simplified to: (log (atan2 1 (+ (* N N) (+ N 1)))) (exp (atan2 1 (+ (* N N) (+ N 1)))) (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (* (atan2 1 (+ (* N N) (+ N 1))) (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (real->posit16 (atan2 1 (+ (* N N) (+ N 1)))) (+ N (* N N)) (log (+ N (* N N))) (log (+ N (* N N))) (exp (+ N (* N N))) (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (cbrt (+ N (* N N))) (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))) (sqrt (+ N (* N N))) (sqrt (+ N (* N N))) (* (sqrt N) (sqrt (+ N 1))) (* (sqrt N) (sqrt (+ N 1))) (* (cbrt N) (+ (cbrt N) (* N (cbrt N)))) (+ (* (sqrt N) N) (sqrt N)) (+ N 1) (* (cbrt (+ N 1)) N) (* N (sqrt (+ N 1))) (+ N (* N N)) (+ N (* N N)) (+ N (* (* N N) (* N N))) (- (* (* N N) N) N) (real->posit16 (+ N (* N N))) (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 3.787 * * * [progress]: adding candidates to table 4.052 * * [progress]: iteration 3 / 4 4.052 * * * [progress]: picking best candidate 4.065 * * * * [pick]: Picked # 4.065 * * * [progress]: localizing error 4.076 * * * [progress]: generating rewritten candidates 4.076 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.077 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 4.081 * * * [progress]: generating series expansions 4.081 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.082 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ N (* N N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.082 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 4.082 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.082 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.082 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.082 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.082 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.082 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 N) (* (/ 1 N) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.082 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 4.082 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.082 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.083 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.083 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.083 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.083 * [backup-simplify]: Simplify (atan2 1 (+ 1 (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.083 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 4.083 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.083 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.083 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.083 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.084 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.084 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 4.084 * [backup-simplify]: Simplify (+ N (* N N)) into (+ N (pow N 2)) 4.084 * [approximate]: Taking taylor expansion of (+ N (pow N 2)) in (N) around 0 4.084 * [taylor]: Taking taylor expansion of (+ N (pow N 2)) in N 4.084 * [taylor]: Taking taylor expansion of N in N 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.084 * [taylor]: Taking taylor expansion of N in N 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [taylor]: Taking taylor expansion of (+ N (pow N 2)) in N 4.084 * [taylor]: Taking taylor expansion of N in N 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.084 * [taylor]: Taking taylor expansion of N in N 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (+ 0 0) into 0 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify (+ 1 0) into 1 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (+ 0 1) into 1 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.086 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.089 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.091 * [backup-simplify]: Simplify (+ 0 0) into 0 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 4.091 * [backup-simplify]: Simplify (+ (/ 1 N) (* (/ 1 N) (/ 1 N))) into (+ (/ 1 (pow N 2)) (/ 1 N)) 4.091 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (/ 1 N)) in (N) around 0 4.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (/ 1 N)) in N 4.092 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.092 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.092 * [taylor]: Taking taylor expansion of N in N 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (* 1 1) into 1 4.092 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.092 * [taylor]: Taking taylor expansion of N in N 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (/ 1 N)) in N 4.092 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.092 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.092 * [taylor]: Taking taylor expansion of N in N 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [backup-simplify]: Simplify (* 1 1) into 1 4.093 * [backup-simplify]: Simplify (/ 1 1) into 1 4.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.093 * [taylor]: Taking taylor expansion of N in N 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [backup-simplify]: Simplify (/ 1 1) into 1 4.094 * [backup-simplify]: Simplify (+ 1 0) into 1 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ 0 1) into 1 4.095 * [backup-simplify]: Simplify 1 into 1 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (+ 0 0) into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (+ 0 0) into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.107 * [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 4.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 4.108 * [backup-simplify]: Simplify (+ (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (- (/ 1 (pow N 2)) (/ 1 N)) 4.108 * [approximate]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in (N) around 0 4.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in N 4.108 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.108 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.108 * [taylor]: Taking taylor expansion of N in N 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (* 1 1) into 1 4.109 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.109 * [taylor]: Taking taylor expansion of N in N 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in N 4.109 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.109 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.109 * [taylor]: Taking taylor expansion of N in N 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (* 1 1) into 1 4.110 * [backup-simplify]: Simplify (/ 1 1) into 1 4.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.110 * [taylor]: Taking taylor expansion of N in N 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (/ 1 1) into 1 4.110 * [backup-simplify]: Simplify (+ 1 0) into 1 4.110 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (- 1) into -1 4.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.112 * [backup-simplify]: Simplify -1 into -1 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- 0) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (- 0) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.119 * [backup-simplify]: Simplify (- 0) into 0 4.119 * [backup-simplify]: Simplify (+ 0 0) into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.122 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (+ 0 0) into 0 4.122 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (- 0) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.126 * [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 4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (- 0) into 0 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 4.127 * * * [progress]: simplifying candidates 4.127 * * * * [progress]: [ 1 / 28 ] simplifiying candidate # 4.127 * * * * [progress]: [ 2 / 28 ] simplifiying candidate # 4.127 * * * * [progress]: [ 3 / 28 ] simplifiying candidate # 4.127 * * * * [progress]: [ 4 / 28 ] simplifiying candidate # 4.127 * * * * [progress]: [ 5 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 6 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 7 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 8 / 28 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (+ N (* N N)))))))> 4.128 * * * * [progress]: [ 9 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 10 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 11 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 12 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 13 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 14 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 15 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 16 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 17 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 18 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 19 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 20 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 21 / 28 ] simplifiying candidate #real (real->posit16 (+ N (* N N)))))))> 4.128 * * * * [progress]: [ 22 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 23 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 24 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 25 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 26 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 27 / 28 ] simplifiying candidate # 4.128 * * * * [progress]: [ 28 / 28 ] simplifiying candidate # 4.129 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (+ N (* N N))))) (exp (atan2 1 (+ 1 (+ N (* N N))))) (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (* (* (atan2 1 (+ 1 (+ N (* N N)))) (atan2 1 (+ 1 (+ N (* N N))))) (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (real->posit16 (atan2 1 (+ 1 (+ N (* N N))))) (* (exp N) (exp (* N N))) (log (+ N (* N N))) (exp (+ N (* N N))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (cbrt (+ N (* N N))) (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))) (sqrt (+ N (* N N))) (sqrt (+ N (* N N))) (+ (pow N 3) (pow (* N N) 3)) (+ (* N N) (- (* (* N N) (* N N)) (* N (* N N)))) (- (* N N) (* (* N N) (* N N))) (- N (* N N)) (+ 1 N) (+ N 1) (real->posit16 (+ N (* N N))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 4.129 * * [simplify]: iteration 1: (43 enodes) 4.150 * * [simplify]: iteration 2: (175 enodes) 4.188 * * [simplify]: iteration 3: (373 enodes) 4.304 * * [simplify]: iteration 4: (836 enodes) 4.791 * * [simplify]: Extracting #0: cost 21 inf + 0 4.792 * * [simplify]: Extracting #1: cost 158 inf + 0 4.793 * * [simplify]: Extracting #2: cost 428 inf + 196 4.798 * * [simplify]: Extracting #3: cost 333 inf + 24157 4.812 * * [simplify]: Extracting #4: cost 117 inf + 76129 4.848 * * [simplify]: Extracting #5: cost 12 inf + 115555 4.888 * * [simplify]: Extracting #6: cost 0 inf + 121750 4.925 * [simplify]: Simplified to: (log (atan2 1 (+ 1 (+ (* N N) N)))) (exp (atan2 1 (+ 1 (+ (* N N) N)))) (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (atan2 1 (+ 1 (+ (* N N) N))) (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (real->posit16 (atan2 1 (+ 1 (+ (* N N) N)))) (exp (+ (* N N) N)) (log (+ (* N N) N)) (exp (+ (* N N) N)) (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N)) (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))) (sqrt (+ (* N N) N)) (sqrt (+ (* N N) N)) (+ (* N (* N N)) (* (* N (* N N)) (* N (* N N)))) (+ (* N N) (* (- (* N N) N) (* N N))) (- (* N N) (* (* N N) (* N N))) (- N (* N N)) (+ N 1) (+ N 1) (real->posit16 (+ (* N N) N)) (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))) (+ (* N N) N) (+ (* N N) N) (+ (* N N) N) 4.927 * * * [progress]: adding candidates to table 5.148 * * [progress]: iteration 4 / 4 5.148 * * * [progress]: picking best candidate 5.161 * * * * [pick]: Picked # 5.161 * * * [progress]: localizing error 5.194 * * * [progress]: generating rewritten candidates 5.194 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.194 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 5.197 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 5.198 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1) 5.200 * * * [progress]: generating series expansions 5.200 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.201 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.201 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 5.201 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.201 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.201 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 5.201 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.202 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.202 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ (/ 1 N) 1) (* (cbrt (/ 1 N)) (cbrt (/ 1 N)))) (cbrt (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.203 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 5.203 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.203 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.203 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 5.203 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.203 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.205 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ (/ 1 (- N)) 1) (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N))))) (cbrt (/ 1 (- N)))))) into (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) 5.205 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 5.205 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 5.207 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.207 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 5.210 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.210 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 5.211 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 5.211 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.211 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.211 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.211 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.211 * [taylor]: Taking taylor expansion of 1/3 in N 5.211 * [backup-simplify]: Simplify 1/3 into 1/3 5.211 * [taylor]: Taking taylor expansion of (log N) in N 5.211 * [taylor]: Taking taylor expansion of N in N 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (log 1) into 0 5.212 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.212 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.212 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.212 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.212 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.212 * [taylor]: Taking taylor expansion of 1/3 in N 5.212 * [backup-simplify]: Simplify 1/3 into 1/3 5.212 * [taylor]: Taking taylor expansion of (log N) in N 5.212 * [taylor]: Taking taylor expansion of N in N 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 1 into 1 5.213 * [backup-simplify]: Simplify (log 1) into 0 5.213 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.213 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.213 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.213 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.215 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.216 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.216 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.219 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.221 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.221 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.227 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.229 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.230 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.231 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.243 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.247 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.247 * [backup-simplify]: Simplify 0 into 0 5.264 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.265 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.270 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.271 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.309 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.317 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.317 * [backup-simplify]: Simplify 0 into 0 5.317 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.317 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.317 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.318 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.318 * [taylor]: Taking taylor expansion of 1/3 in N 5.318 * [backup-simplify]: Simplify 1/3 into 1/3 5.318 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.318 * [taylor]: Taking taylor expansion of N in N 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 1 into 1 5.318 * [backup-simplify]: Simplify (/ 1 1) into 1 5.318 * [backup-simplify]: Simplify (log 1) into 0 5.319 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.319 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.319 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.319 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.319 * [taylor]: Taking taylor expansion of 1/3 in N 5.319 * [backup-simplify]: Simplify 1/3 into 1/3 5.319 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.319 * [taylor]: Taking taylor expansion of N in N 5.319 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify 1 into 1 5.319 * [backup-simplify]: Simplify (/ 1 1) into 1 5.320 * [backup-simplify]: Simplify (log 1) into 0 5.320 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.320 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.320 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.320 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.322 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.323 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.325 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.326 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.326 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.326 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.330 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.330 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.332 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.338 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.341 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.341 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.351 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.355 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.372 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.373 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.374 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.377 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.377 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.378 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.378 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 5.378 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.378 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.378 * [taylor]: Taking taylor expansion of 1/3 in N 5.378 * [backup-simplify]: Simplify 1/3 into 1/3 5.378 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.378 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.378 * [taylor]: Taking taylor expansion of N in N 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [backup-simplify]: Simplify (/ 1 1) into 1 5.378 * [backup-simplify]: Simplify (log 1) into 0 5.379 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.379 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.379 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.379 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.379 * [taylor]: Taking taylor expansion of -1 in N 5.379 * [backup-simplify]: Simplify -1 into -1 5.379 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.380 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.380 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.380 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.380 * [taylor]: Taking taylor expansion of 1/3 in N 5.380 * [backup-simplify]: Simplify 1/3 into 1/3 5.380 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.380 * [taylor]: Taking taylor expansion of N in N 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 1 into 1 5.380 * [backup-simplify]: Simplify (/ 1 1) into 1 5.380 * [backup-simplify]: Simplify (log 1) into 0 5.381 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.381 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.381 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.381 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.381 * [taylor]: Taking taylor expansion of -1 in N 5.381 * [backup-simplify]: Simplify -1 into -1 5.381 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.382 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.382 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.382 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.384 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.385 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.385 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 5.385 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.391 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.392 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.393 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.393 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.398 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.399 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.400 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.400 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.408 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.410 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.411 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.411 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.422 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.423 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.426 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.427 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.427 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.447 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.453 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.454 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.454 * [backup-simplify]: Simplify 0 into 0 5.454 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 5.455 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 5.455 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.455 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.455 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.455 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.455 * [taylor]: Taking taylor expansion of 1/3 in N 5.455 * [backup-simplify]: Simplify 1/3 into 1/3 5.455 * [taylor]: Taking taylor expansion of (log N) in N 5.455 * [taylor]: Taking taylor expansion of N in N 5.455 * [backup-simplify]: Simplify 0 into 0 5.455 * [backup-simplify]: Simplify 1 into 1 5.455 * [backup-simplify]: Simplify (log 1) into 0 5.455 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.456 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.456 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.456 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.456 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.456 * [taylor]: Taking taylor expansion of 1/3 in N 5.456 * [backup-simplify]: Simplify 1/3 into 1/3 5.456 * [taylor]: Taking taylor expansion of (log N) in N 5.456 * [taylor]: Taking taylor expansion of N in N 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [backup-simplify]: Simplify (log 1) into 0 5.456 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.456 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.456 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.457 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.458 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.458 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.458 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.460 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.462 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.465 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.467 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.467 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.474 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.478 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.478 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.488 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.493 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.527 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.535 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.535 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.535 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.535 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.536 * [taylor]: Taking taylor expansion of 1/3 in N 5.536 * [backup-simplify]: Simplify 1/3 into 1/3 5.536 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.536 * [taylor]: Taking taylor expansion of N in N 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (/ 1 1) into 1 5.537 * [backup-simplify]: Simplify (log 1) into 0 5.537 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.537 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.537 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.537 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.537 * [taylor]: Taking taylor expansion of 1/3 in N 5.537 * [backup-simplify]: Simplify 1/3 into 1/3 5.537 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.538 * [taylor]: Taking taylor expansion of N in N 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [backup-simplify]: Simplify (/ 1 1) into 1 5.538 * [backup-simplify]: Simplify (log 1) into 0 5.539 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.539 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.539 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.539 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.541 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.542 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.542 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.545 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.546 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.549 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.550 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.550 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.551 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.551 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.558 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.559 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.561 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.571 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.572 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.573 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.575 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.604 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.604 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.607 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.613 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.613 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.613 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 5.613 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.613 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.613 * [taylor]: Taking taylor expansion of 1/3 in N 5.613 * [backup-simplify]: Simplify 1/3 into 1/3 5.613 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.613 * [taylor]: Taking taylor expansion of N in N 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (/ 1 1) into 1 5.614 * [backup-simplify]: Simplify (log 1) into 0 5.615 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.615 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.615 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.615 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.615 * [taylor]: Taking taylor expansion of -1 in N 5.615 * [backup-simplify]: Simplify -1 into -1 5.616 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.617 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.617 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.617 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.617 * [taylor]: Taking taylor expansion of 1/3 in N 5.617 * [backup-simplify]: Simplify 1/3 into 1/3 5.617 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.617 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.617 * [taylor]: Taking taylor expansion of N in N 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [backup-simplify]: Simplify (/ 1 1) into 1 5.617 * [backup-simplify]: Simplify (log 1) into 0 5.618 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.618 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.618 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.618 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.618 * [taylor]: Taking taylor expansion of -1 in N 5.618 * [backup-simplify]: Simplify -1 into -1 5.618 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.618 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.619 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.619 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.621 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.622 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.622 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.625 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.627 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.627 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.627 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.632 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.633 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.634 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.642 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.642 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.643 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.645 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.646 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.646 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.668 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.669 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.670 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.672 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.673 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.693 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.694 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.701 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.702 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.702 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 5.703 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1) 5.703 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.703 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.703 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.703 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.703 * [taylor]: Taking taylor expansion of 1/3 in N 5.703 * [backup-simplify]: Simplify 1/3 into 1/3 5.703 * [taylor]: Taking taylor expansion of (log N) in N 5.703 * [taylor]: Taking taylor expansion of N in N 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.704 * [backup-simplify]: Simplify (log 1) into 0 5.704 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.704 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.704 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.704 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.704 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.704 * [taylor]: Taking taylor expansion of 1/3 in N 5.704 * [backup-simplify]: Simplify 1/3 into 1/3 5.704 * [taylor]: Taking taylor expansion of (log N) in N 5.704 * [taylor]: Taking taylor expansion of N in N 5.704 * [backup-simplify]: Simplify 0 into 0 5.704 * [backup-simplify]: Simplify 1 into 1 5.704 * [backup-simplify]: Simplify (log 1) into 0 5.705 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.705 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.705 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.705 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.706 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.707 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.709 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.709 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.710 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.710 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.713 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.714 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.715 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.715 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.723 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.724 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.726 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.726 * [backup-simplify]: Simplify 0 into 0 5.735 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.736 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.737 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.739 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.739 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.756 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.758 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.761 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.761 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.761 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.761 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.761 * [taylor]: Taking taylor expansion of 1/3 in N 5.761 * [backup-simplify]: Simplify 1/3 into 1/3 5.761 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.761 * [taylor]: Taking taylor expansion of N in N 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (/ 1 1) into 1 5.762 * [backup-simplify]: Simplify (log 1) into 0 5.762 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.762 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.762 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.762 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.762 * [taylor]: Taking taylor expansion of 1/3 in N 5.762 * [backup-simplify]: Simplify 1/3 into 1/3 5.762 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.762 * [taylor]: Taking taylor expansion of N in N 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.763 * [backup-simplify]: Simplify (/ 1 1) into 1 5.763 * [backup-simplify]: Simplify (log 1) into 0 5.763 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.763 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.763 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.763 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.765 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.765 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.766 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.768 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.769 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.769 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.769 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.773 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.773 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.774 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.777 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.777 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.783 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.783 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.784 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.790 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.801 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.801 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.803 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.805 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.805 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.832 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.832 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.834 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.837 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.837 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.838 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 5.838 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.838 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.838 * [taylor]: Taking taylor expansion of 1/3 in N 5.838 * [backup-simplify]: Simplify 1/3 into 1/3 5.838 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.838 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.838 * [taylor]: Taking taylor expansion of N in N 5.838 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify 1 into 1 5.838 * [backup-simplify]: Simplify (/ 1 1) into 1 5.838 * [backup-simplify]: Simplify (log 1) into 0 5.839 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.839 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.839 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.839 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.839 * [taylor]: Taking taylor expansion of -1 in N 5.839 * [backup-simplify]: Simplify -1 into -1 5.839 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.839 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.839 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.839 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.840 * [taylor]: Taking taylor expansion of 1/3 in N 5.840 * [backup-simplify]: Simplify 1/3 into 1/3 5.840 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.840 * [taylor]: Taking taylor expansion of N in N 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify 1 into 1 5.840 * [backup-simplify]: Simplify (/ 1 1) into 1 5.840 * [backup-simplify]: Simplify (log 1) into 0 5.840 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.840 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.840 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.841 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.841 * [taylor]: Taking taylor expansion of -1 in N 5.841 * [backup-simplify]: Simplify -1 into -1 5.841 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.841 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.842 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.842 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.844 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.844 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.845 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 5.845 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.848 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.849 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.849 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.850 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.850 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.854 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.854 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.855 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.856 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.857 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.857 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.864 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 5.865 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.866 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.869 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.870 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.870 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.890 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 5.891 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.893 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.902 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.903 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.903 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.922 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 5.922 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.924 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.927 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.928 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 5.929 * * * [progress]: simplifying candidates 5.929 * * * * [progress]: [ 1 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 2 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 3 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 4 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 5 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 6 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 7 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 8 / 56 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))))> 5.929 * * * * [progress]: [ 9 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 10 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 11 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 12 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 13 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 14 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 15 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 16 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 17 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 18 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 19 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 20 / 56 ] simplifiying candidate #real (real->posit16 (cbrt N)))))))> 5.929 * * * * [progress]: [ 21 / 56 ] simplifiying candidate # 5.929 * * * * [progress]: [ 22 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 23 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 24 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 25 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 26 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 27 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 28 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 29 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 30 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 31 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 32 / 56 ] simplifiying candidate #real (real->posit16 (cbrt N))))) (cbrt N)))))> 5.930 * * * * [progress]: [ 33 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 34 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 35 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 36 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 37 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 38 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 39 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 40 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 41 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 42 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 43 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 44 / 56 ] simplifiying candidate #real (real->posit16 (cbrt N))) (cbrt N))) (cbrt N)))))> 5.930 * * * * [progress]: [ 45 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 46 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 47 / 56 ] simplifiying candidate # 5.930 * * * * [progress]: [ 48 / 56 ] simplifiying candidate # 5.931 * * * * [progress]: [ 49 / 56 ] simplifiying candidate # 5.931 * * * * [progress]: [ 50 / 56 ] simplifiying candidate # 5.931 * * * * [progress]: [ 51 / 56 ] simplifiying candidate # 5.931 * * * * [progress]: [ 52 / 56 ] simplifiying candidate # 5.931 * * * * [progress]: [ 53 / 56 ] simplifiying candidate # 5.931 * * * * [progress]: [ 54 / 56 ] simplifiying candidate # 5.931 * * * * [progress]: [ 55 / 56 ] simplifiying candidate # 5.931 * * * * [progress]: [ 56 / 56 ] simplifiying candidate # 5.931 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (exp (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))) (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (* (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* N -1) 1/3) (cbrt -1)) 5.932 * * [simplify]: iteration 1: (43 enodes) 5.943 * * [simplify]: iteration 2: (157 enodes) 5.970 * * [simplify]: iteration 3: (243 enodes) 6.034 * * [simplify]: iteration 4: (445 enodes) 6.226 * * [simplify]: iteration 5: (1091 enodes) 7.543 * * [simplify]: Extracting #0: cost 21 inf + 0 7.544 * * [simplify]: Extracting #1: cost 114 inf + 2 7.546 * * [simplify]: Extracting #2: cost 267 inf + 1396 7.551 * * [simplify]: Extracting #3: cost 297 inf + 24872 7.565 * * [simplify]: Extracting #4: cost 343 inf + 112014 7.606 * * [simplify]: Extracting #5: cost 18 inf + 314277 7.642 * * [simplify]: Extracting #6: cost 0 inf + 320732 7.680 * * [simplify]: Extracting #7: cost 0 inf + 320047 7.729 * [simplify]: Simplified to: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) (/ (log N) 3) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (/ (log N) 3) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (/ (log N) 3) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (real->posit16 (cbrt N)) (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (pow (/ 1 N) -1/3) (* (cbrt (- N)) (cbrt -1)) 7.732 * * * [progress]: adding candidates to table 8.165 * [progress]: [Phase 3 of 3] Extracting. 8.165 * * [regime]: Finding splitpoints for: (# # # # # # #) 8.166 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N))) 8.166 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 8.195 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # #) 8.247 * * * [regime]: Found split indices: #