0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.042 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.042 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.043 * * [simplify]: iteration 1: (6 enodes) 0.044 * * [simplify]: iteration 2: (23 enodes) 0.048 * * [simplify]: iteration 3: (28 enodes) 0.060 * * [simplify]: Extracting #0: cost 1 inf + 0 0.060 * * [simplify]: Extracting #1: cost 5 inf + 0 0.060 * * [simplify]: Extracting #2: cost 10 inf + 0 0.060 * * [simplify]: Extracting #3: cost 11 inf + 1 0.061 * * [simplify]: Extracting #4: cost 6 inf + 298 0.061 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.061 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.061 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.078 * * * [progress]: generating rewritten candidates 0.078 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.083 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.084 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.084 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.084 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.084 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.084 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.084 * [taylor]: Taking taylor expansion of (atan N) in N 0.084 * [backup-simplify]: Simplify (atan N) into (atan N) 0.084 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.084 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.084 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.084 * [taylor]: Taking taylor expansion of (atan N) in N 0.085 * [backup-simplify]: Simplify (atan N) into (atan N) 0.085 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.085 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.085 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.088 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.088 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.088 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.088 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.089 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.089 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.089 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.089 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.089 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.089 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.089 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.089 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.089 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.092 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.092 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.092 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.092 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.092 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.092 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.092 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.092 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.092 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.093 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 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 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.093 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.093 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 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 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [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 (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.096 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.096 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.096 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.096 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.096 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.096 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.096 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.096 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.096 * [backup-simplify]: Simplify 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 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.097 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.097 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.097 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.097 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.097 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.097 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.097 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.097 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 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 (/ 1 N))) in N 0.097 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.097 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.098 * * * [progress]: simplifying candidates 0.098 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.098 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.098 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.098 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.099 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.099 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.099 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.099 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.099 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.099 * [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))), (log (atan (+ N 1))), (exp (atan (+ N 1))), (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))), (cbrt (atan (+ N 1))), (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))), (sqrt (atan (+ N 1))), (sqrt (atan (+ N 1))), (real->posit16 (atan (+ N 1))), (- (atan (+ N 1)) (atan N)), (- (atan (+ N 1)) (atan N)), (- (atan (+ N 1)) (atan N)), (atan (+ N 1)), (atan (+ N 1)), (atan (+ N 1)) 0.099 * * [simplify]: iteration 1: (41 enodes) 0.109 * * [simplify]: iteration 2: (149 enodes) 0.134 * * [simplify]: iteration 3: (239 enodes) 0.192 * * [simplify]: iteration 4: (389 enodes) 0.303 * * [simplify]: iteration 5: (702 enodes) 0.543 * * [simplify]: iteration 6: (1652 enodes) 1.425 * * [simplify]: Extracting #0: cost 25 inf + 0 1.425 * * [simplify]: Extracting #1: cost 226 inf + 1 1.429 * * [simplify]: Extracting #2: cost 792 inf + 8308 1.451 * * [simplify]: Extracting #3: cost 806 inf + 116505 1.512 * * [simplify]: Extracting #4: cost 326 inf + 456712 1.600 * * [simplify]: Extracting #5: cost 150 inf + 625254 1.720 * * [simplify]: Extracting #6: cost 3 inf + 762628 1.825 * * [simplify]: Extracting #7: cost 0 inf + 758843 1.939 * [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))), (log (atan (+ 1 N))), (exp (atan (+ 1 N))), (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))), (cbrt (atan (+ 1 N))), (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))), (sqrt (atan (+ 1 N))), (sqrt (atan (+ 1 N))), (real->posit16 (atan (+ 1 N))), (- (atan (+ 1 N)) (atan N)), (- (atan (+ 1 N)) (atan N)), (- (atan (+ 1 N)) (atan N)), (atan (+ 1 N)), (atan (+ 1 N)), (atan (+ 1 N)) 1.940 * * * [progress]: adding candidates to table 2.168 * * [progress]: iteration 2 / 4 2.168 * * * [progress]: picking best candidate 2.170 * * * * [pick]: Picked # 2.170 * * * [progress]: localizing error 2.184 * * * [progress]: generating rewritten candidates 2.184 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.185 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 2.205 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.216 * * * [progress]: generating series expansions 2.217 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.217 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.217 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.217 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.217 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.217 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.217 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.217 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.218 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.218 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.218 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.218 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.218 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.219 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.219 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.220 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.220 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.220 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.220 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.220 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.220 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.221 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.221 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 2.221 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 2.221 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 2.221 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.221 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.221 * [taylor]: Taking taylor expansion of N in N 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [taylor]: Taking taylor expansion of 1 in N 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [taylor]: Taking taylor expansion of N in N 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 2.221 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.221 * [taylor]: Taking taylor expansion of N in N 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [taylor]: Taking taylor expansion of 1 in N 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [taylor]: Taking taylor expansion of N in N 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (+ 0 1) into 1 2.222 * [backup-simplify]: Simplify (* 1 0) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (+ 1 0) into 1 2.223 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 2.223 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 2.224 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 2.231 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 2.231 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 2.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.231 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (/ 1 1) into 1 2.231 * [taylor]: Taking taylor expansion of 1 in N 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (+ 1 0) into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.232 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 2.232 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.232 * [taylor]: Taking taylor expansion of N in N 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.232 * [taylor]: Taking taylor expansion of 1 in N 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [taylor]: Taking taylor expansion of N in N 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (+ 1 0) into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ 0 1) into 1 2.234 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.234 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.236 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [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 2.240 * [backup-simplify]: Simplify 0 into 0 2.241 * [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 2.241 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [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 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 2.242 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 2.242 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 2.242 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.242 * [taylor]: Taking taylor expansion of -1 in N 2.242 * [backup-simplify]: Simplify -1 into -1 2.242 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.242 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.242 * [taylor]: Taking taylor expansion of 1 in N 2.242 * [backup-simplify]: Simplify 1 into 1 2.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.242 * [taylor]: Taking taylor expansion of N in N 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.243 * [taylor]: Taking taylor expansion of N in N 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (- 1) into -1 2.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.243 * [backup-simplify]: Simplify (/ -1 1) into -1 2.243 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 2.243 * [taylor]: Taking taylor expansion of -1 in N 2.244 * [backup-simplify]: Simplify -1 into -1 2.244 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 2.244 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.244 * [taylor]: Taking taylor expansion of 1 in N 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.244 * [taylor]: Taking taylor expansion of N in N 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (/ 1 1) into 1 2.244 * [taylor]: Taking taylor expansion of N in N 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (- 1) into -1 2.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.245 * [backup-simplify]: Simplify (/ -1 1) into -1 2.245 * [backup-simplify]: Simplify (* -1 -1) into 1 2.245 * [backup-simplify]: Simplify 1 into 1 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (- 0) into 0 2.246 * [backup-simplify]: Simplify (+ 1 0) into 1 2.246 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 2.247 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.247 * [backup-simplify]: Simplify -1 into -1 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (- 0) into 0 2.248 * [backup-simplify]: Simplify (+ 0 0) into 0 2.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (- 0) into 0 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify (- 0) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.254 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify (- 0) into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (- 0) into 0 2.258 * [backup-simplify]: Simplify (+ 0 0) into 0 2.259 * [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 2.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [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 2.260 * [backup-simplify]: Simplify (- 0) into 0 2.261 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [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 2.262 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.262 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 2.263 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.263 * [backup-simplify]: Simplify (+ 1 (* (+ N 1) N)) into (+ N (+ (pow N 2) 1)) 2.263 * [approximate]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0 2.263 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 2.263 * [taylor]: Taking taylor expansion of N in N 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.263 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.263 * [taylor]: Taking taylor expansion of N in N 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of 1 in N 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 2.263 * [taylor]: Taking taylor expansion of N in N 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.263 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.263 * [taylor]: Taking taylor expansion of N in N 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of 1 in N 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [backup-simplify]: Simplify (+ 0 1) into 1 2.264 * [backup-simplify]: Simplify (+ 0 1) into 1 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify (+ 1 0) into 1 2.264 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (* 1 1) into 1 2.265 * [backup-simplify]: Simplify (+ 1 0) into 1 2.265 * [backup-simplify]: Simplify (+ 0 1) into 1 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 2.265 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) into (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2.265 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in (N) around 0 2.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 2.265 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.265 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [taylor]: Taking taylor expansion of 1 in N 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.266 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (* 1 1) into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.267 * [taylor]: Taking taylor expansion of N in N 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [taylor]: Taking taylor expansion of 1 in N 2.267 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (+ 1 0) into 1 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.269 * [backup-simplify]: Simplify (+ 1 0) into 1 2.269 * [backup-simplify]: Simplify (+ 0 1) into 1 2.269 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (+ 0 1) into 1 2.271 * [backup-simplify]: Simplify (+ 0 1) into 1 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 2.271 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2.271 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in (N) around 0 2.271 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 2.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.271 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.271 * [taylor]: Taking taylor expansion of N in N 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (* 1 1) into 1 2.272 * [backup-simplify]: Simplify (/ 1 1) into 1 2.272 * [taylor]: Taking taylor expansion of 1 in N 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (/ 1 1) into 1 2.272 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 2.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.272 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.272 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (* 1 1) into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [taylor]: Taking taylor expansion of 1 in N 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.273 * [taylor]: Taking taylor expansion of N in N 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [backup-simplify]: Simplify (+ 1 0) into 1 2.274 * [backup-simplify]: Simplify (+ 1 0) into 1 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.275 * [backup-simplify]: Simplify (- 1) into -1 2.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.275 * [backup-simplify]: Simplify -1 into -1 2.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify (+ 0 1) into 1 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify (- 0) into 0 2.278 * [backup-simplify]: Simplify (+ 1 0) into 1 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 2.278 * * * [progress]: simplifying candidates 2.278 * * * * [progress]: [ 1 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 2 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 3 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 4 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 5 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 6 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 7 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 8 / 51 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.278 * * * * [progress]: [ 9 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 10 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 11 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 12 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 13 / 51 ] simplifiying candidate # 2.278 * * * * [progress]: [ 14 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 15 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 16 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 17 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 18 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 19 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 20 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 21 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 22 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 23 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 24 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 25 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 26 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 27 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 28 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 29 / 51 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 2.279 * * * * [progress]: [ 30 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 31 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 32 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 33 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 34 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 35 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 36 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 37 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 38 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 39 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 40 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 41 / 51 ] simplifiying candidate #real (real->posit16 (+ 1 (* (+ N 1) N))))))> 2.279 * * * * [progress]: [ 42 / 51 ] simplifiying candidate # 2.279 * * * * [progress]: [ 43 / 51 ] simplifiying candidate # 2.280 * * * * [progress]: [ 44 / 51 ] simplifiying candidate # 2.280 * * * * [progress]: [ 45 / 51 ] simplifiying candidate # 2.280 * * * * [progress]: [ 46 / 51 ] simplifiying candidate # 2.280 * * * * [progress]: [ 47 / 51 ] simplifiying candidate # 2.280 * * * * [progress]: [ 48 / 51 ] simplifiying candidate # 2.280 * * * * [progress]: [ 49 / 51 ] simplifiying candidate # 2.280 * * * * [progress]: [ 50 / 51 ] simplifiying candidate # 2.280 * * * * [progress]: [ 51 / 51 ] simplifiying candidate # 2.280 * [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)), (* (exp 1) (exp (* (+ N 1) N))), (log (+ 1 (* (+ N 1) N))), (exp (+ 1 (* (+ N 1) N))), (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))), (cbrt (+ 1 (* (+ N 1) N))), (* (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) (+ 1 (* (+ N 1) N))), (sqrt (+ 1 (* (+ N 1) N))), (sqrt (+ 1 (* (+ N 1) N))), (+ (pow 1 3) (pow (* (+ N 1) N) 3)), (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N)))), (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N))), (- 1 (* (+ N 1) N)), (real->posit16 (+ 1 (* (+ 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)), (+ N (+ (pow N 2) 1)), (+ N (+ (pow N 2) 1)), (+ N (+ (pow N 2) 1)) 2.281 * * [simplify]: iteration 1: (72 enodes) 2.315 * * [simplify]: iteration 2: (291 enodes) 2.382 * * [simplify]: iteration 3: (627 enodes) 2.655 * * [simplify]: iteration 4: (1552 enodes) 4.268 * * [simplify]: Extracting #0: cost 36 inf + 0 4.269 * * [simplify]: Extracting #1: cost 316 inf + 0 4.273 * * [simplify]: Extracting #2: cost 922 inf + 5592 4.298 * * [simplify]: Extracting #3: cost 485 inf + 118236 4.353 * * [simplify]: Extracting #4: cost 72 inf + 220089 4.412 * * [simplify]: Extracting #5: cost 5 inf + 244504 4.472 * * [simplify]: Extracting #6: cost 0 inf + 247401 4.531 * [simplify]: Simplified to (log (atan2 1 (+ (+ (* N N) 1) N))), (exp (atan2 1 (+ (+ (* N N) 1) N))), (* (cbrt (atan2 1 (+ (+ (* N N) 1) N))) (cbrt (atan2 1 (+ (+ (* N N) 1) N)))), (cbrt (atan2 1 (+ (+ (* N N) 1) N))), (* (atan2 1 (+ (+ (* N N) 1) N)) (* (atan2 1 (+ (+ (* N N) 1) N)) (atan2 1 (+ (+ (* N N) 1) N)))), (sqrt (atan2 1 (+ (+ (* N N) 1) N))), (sqrt (atan2 1 (+ (+ (* N N) 1) N))), (real->posit16 (atan2 1 (+ (+ (* N N) 1) N))), (+ (* 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) (+ (* N (cbrt 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)), (exp (+ (+ (* N N) 1) N)), (log (+ (+ (* N N) 1) N)), (exp (+ (+ (* N N) 1) N)), (* (cbrt (+ (+ (* N N) 1) N)) (cbrt (+ (+ (* N N) 1) N))), (cbrt (+ (+ (* N N) 1) N)), (* (* (+ (+ (* N N) 1) N) (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N)), (sqrt (+ (+ (* N N) 1) N)), (sqrt (+ (+ (* N N) 1) N)), (+ (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))) 1), (- (- (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N)), (- 1 (* (+ (* N N) N) (+ (* N N) N))), (- (- 1 N) (* N N)), (real->posit16 (+ (+ (* N N) 1) N)), (atan2 1 (+ (+ (* N N) 1) N)), (atan2 1 (+ (+ (* N N) 1) N)), (atan2 1 (+ (+ (* N N) 1) N)), (+ (* N N) N), (+ (* N N) N), (+ (* N N) N), (+ (+ (* N N) 1) N), (+ (+ (* N N) 1) N), (+ (+ (* N N) 1) N) 4.533 * * * [progress]: adding candidates to table 4.813 * * [progress]: iteration 3 / 4 4.813 * * * [progress]: picking best candidate 4.830 * * * * [pick]: Picked # 4.830 * * * [progress]: localizing error 4.852 * * * [progress]: generating rewritten candidates 4.852 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.853 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 4.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1) 4.854 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 4.863 * * * [progress]: generating series expansions 4.863 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.863 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 4.863 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 4.863 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.863 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.863 * [taylor]: Taking taylor expansion of 1/3 in N 4.864 * [backup-simplify]: Simplify 1/3 into 1/3 4.864 * [taylor]: Taking taylor expansion of (log N) in N 4.864 * [taylor]: Taking taylor expansion of N in N 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (log 1) into 0 4.864 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.864 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.864 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.864 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 4.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 4.864 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 4.864 * [taylor]: Taking taylor expansion of 1/3 in N 4.864 * [backup-simplify]: Simplify 1/3 into 1/3 4.864 * [taylor]: Taking taylor expansion of (log N) in N 4.864 * [taylor]: Taking taylor expansion of N in N 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.865 * [backup-simplify]: Simplify (log 1) into 0 4.865 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.865 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 4.865 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 4.865 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.866 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.867 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 4.867 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.867 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.869 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.869 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 4.870 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.873 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 4.875 * [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 4.875 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.881 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 4.883 * [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 4.883 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.893 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.898 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 4.900 * [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 4.900 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.919 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.921 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 4.924 * [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 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 4.924 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 4.924 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 4.924 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.924 * [taylor]: Taking taylor expansion of 1/3 in N 4.924 * [backup-simplify]: Simplify 1/3 into 1/3 4.924 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.924 * [taylor]: Taking taylor expansion of N in N 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (/ 1 1) into 1 4.925 * [backup-simplify]: Simplify (log 1) into 0 4.925 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.925 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.925 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.925 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.925 * [taylor]: Taking taylor expansion of 1/3 in N 4.925 * [backup-simplify]: Simplify 1/3 into 1/3 4.925 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.925 * [taylor]: Taking taylor expansion of N in N 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (/ 1 1) into 1 4.926 * [backup-simplify]: Simplify (log 1) into 0 4.926 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.926 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.926 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.926 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.928 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.928 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.931 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.931 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.932 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.935 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.936 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 4.937 * [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 4.937 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.943 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 4.944 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.945 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 4.946 * [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 4.946 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.956 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 4.956 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.957 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 4.960 * [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 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.979 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 4.979 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.981 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 4.984 * [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 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 4.984 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.984 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 4.984 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.984 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.984 * [taylor]: Taking taylor expansion of 1/3 in N 4.984 * [backup-simplify]: Simplify 1/3 into 1/3 4.984 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.984 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.984 * [taylor]: Taking taylor expansion of N in N 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.985 * [backup-simplify]: Simplify (log 1) into 0 4.985 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.985 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.985 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.985 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.985 * [taylor]: Taking taylor expansion of -1 in N 4.985 * [backup-simplify]: Simplify -1 into -1 4.986 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.986 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.986 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 4.986 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 4.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 4.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 4.986 * [taylor]: Taking taylor expansion of 1/3 in N 4.986 * [backup-simplify]: Simplify 1/3 into 1/3 4.986 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.986 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.986 * [taylor]: Taking taylor expansion of N in N 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify 1 into 1 4.987 * [backup-simplify]: Simplify (/ 1 1) into 1 4.987 * [backup-simplify]: Simplify (log 1) into 0 4.987 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.987 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.987 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.987 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.987 * [taylor]: Taking taylor expansion of -1 in N 4.987 * [backup-simplify]: Simplify -1 into -1 4.988 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.988 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.988 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.989 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.990 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.991 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 4.991 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.991 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.995 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.995 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 4.996 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.997 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.001 * [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 5.001 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.003 * [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 5.003 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.003 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.011 * [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 5.011 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.012 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.014 * [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 5.015 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.026 * [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 5.026 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.028 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.030 * [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 5.031 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.051 * [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 5.051 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.053 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.056 * [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 5.057 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 5.058 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 5.058 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.058 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.058 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.058 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.058 * [taylor]: Taking taylor expansion of 1/3 in N 5.058 * [backup-simplify]: Simplify 1/3 into 1/3 5.058 * [taylor]: Taking taylor expansion of (log N) in N 5.058 * [taylor]: Taking taylor expansion of N in N 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [backup-simplify]: Simplify (log 1) into 0 5.058 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.059 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.059 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.059 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.059 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.059 * [taylor]: Taking taylor expansion of 1/3 in N 5.059 * [backup-simplify]: Simplify 1/3 into 1/3 5.059 * [taylor]: Taking taylor expansion of (log N) in N 5.059 * [taylor]: Taking taylor expansion of N in N 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (log 1) into 0 5.059 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.059 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.059 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.059 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.061 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.061 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.061 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.066 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.067 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.068 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.068 * [backup-simplify]: Simplify 0 into 0 5.071 * [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 5.071 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.073 * [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 5.073 * [backup-simplify]: Simplify 0 into 0 5.079 * [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 5.080 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.081 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.082 * [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 5.082 * [backup-simplify]: Simplify 0 into 0 5.093 * [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 5.093 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.097 * [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 5.097 * [backup-simplify]: Simplify 0 into 0 5.116 * [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 5.116 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.121 * [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 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.121 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.121 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.121 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.121 * [taylor]: Taking taylor expansion of 1/3 in N 5.121 * [backup-simplify]: Simplify 1/3 into 1/3 5.121 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.121 * [taylor]: Taking taylor expansion of N in N 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.122 * [backup-simplify]: Simplify (log 1) into 0 5.122 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.122 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.122 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.122 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.122 * [taylor]: Taking taylor expansion of 1/3 in N 5.122 * [backup-simplify]: Simplify 1/3 into 1/3 5.122 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.122 * [taylor]: Taking taylor expansion of N in N 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [backup-simplify]: Simplify (/ 1 1) into 1 5.123 * [backup-simplify]: Simplify (log 1) into 0 5.123 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.123 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.123 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.123 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.125 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.125 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.125 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.125 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.128 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.128 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.129 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.129 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.132 * [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 5.133 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.133 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.134 * [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 5.134 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.141 * [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 5.141 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.142 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.144 * [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 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.156 * [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 5.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.160 * [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 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.178 * [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 5.178 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.180 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.183 * [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 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.183 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.183 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 5.183 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.183 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.183 * [taylor]: Taking taylor expansion of 1/3 in N 5.183 * [backup-simplify]: Simplify 1/3 into 1/3 5.183 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.183 * [taylor]: Taking taylor expansion of N in N 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify (/ 1 1) into 1 5.184 * [backup-simplify]: Simplify (log 1) into 0 5.184 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.184 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.184 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.184 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.184 * [taylor]: Taking taylor expansion of -1 in N 5.184 * [backup-simplify]: Simplify -1 into -1 5.185 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.185 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.185 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.185 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.185 * [taylor]: Taking taylor expansion of 1/3 in N 5.185 * [backup-simplify]: Simplify 1/3 into 1/3 5.185 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.185 * [taylor]: Taking taylor expansion of N in N 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (/ 1 1) into 1 5.186 * [backup-simplify]: Simplify (log 1) into 0 5.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.186 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.186 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.186 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.186 * [taylor]: Taking taylor expansion of -1 in N 5.186 * [backup-simplify]: Simplify -1 into -1 5.187 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.187 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.187 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.188 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.190 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.190 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.191 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.194 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.194 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.195 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.196 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.196 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.200 * [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 5.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.202 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.203 * [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 5.203 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.211 * [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 5.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.212 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.214 * [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 5.214 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.226 * [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 5.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.227 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.229 * [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 5.230 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.230 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.251 * [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 5.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.256 * [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 5.257 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 5.257 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1) 5.258 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 5.258 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 5.258 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.258 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.258 * [taylor]: Taking taylor expansion of 1/3 in N 5.258 * [backup-simplify]: Simplify 1/3 into 1/3 5.258 * [taylor]: Taking taylor expansion of (log N) in N 5.258 * [taylor]: Taking taylor expansion of N in N 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (log 1) into 0 5.258 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.258 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.258 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.258 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 5.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 5.258 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 5.258 * [taylor]: Taking taylor expansion of 1/3 in N 5.258 * [backup-simplify]: Simplify 1/3 into 1/3 5.258 * [taylor]: Taking taylor expansion of (log N) in N 5.258 * [taylor]: Taking taylor expansion of N in N 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (log 1) into 0 5.259 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.259 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 5.259 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 5.259 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.260 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.260 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 5.261 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.263 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.264 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.264 * [backup-simplify]: Simplify 0 into 0 5.268 * [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 5.268 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.269 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 5.270 * [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 5.270 * [backup-simplify]: Simplify 0 into 0 5.276 * [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 5.276 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 5.279 * [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 5.279 * [backup-simplify]: Simplify 0 into 0 5.288 * [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 5.288 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 5.292 * [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 5.292 * [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 5.308 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 5.313 * [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 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 5.313 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 5.313 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 5.313 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.313 * [taylor]: Taking taylor expansion of 1/3 in N 5.313 * [backup-simplify]: Simplify 1/3 into 1/3 5.313 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.313 * [taylor]: Taking taylor expansion of N in N 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify 1 into 1 5.313 * [backup-simplify]: Simplify (/ 1 1) into 1 5.314 * [backup-simplify]: Simplify (log 1) into 0 5.314 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.314 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.314 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.314 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.314 * [taylor]: Taking taylor expansion of 1/3 in N 5.314 * [backup-simplify]: Simplify 1/3 into 1/3 5.314 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.314 * [taylor]: Taking taylor expansion of N in N 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [backup-simplify]: Simplify (/ 1 1) into 1 5.315 * [backup-simplify]: Simplify (log 1) into 0 5.315 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.315 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.315 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.315 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.317 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.317 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.320 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.320 * [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 5.338 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.339 * [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 5.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.350 * [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 5.350 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.351 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 5.354 * [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 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.370 * [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 5.371 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 5.375 * [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 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 5.375 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.375 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 5.376 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 5.376 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 5.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 5.376 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 5.376 * [taylor]: Taking taylor expansion of 1/3 in N 5.376 * [backup-simplify]: Simplify 1/3 into 1/3 5.376 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.376 * [taylor]: Taking taylor expansion of N in N 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (/ 1 1) into 1 5.376 * [backup-simplify]: Simplify (log 1) into 0 5.377 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.377 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.377 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.377 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.377 * [taylor]: Taking taylor expansion of -1 in N 5.377 * [backup-simplify]: Simplify -1 into -1 5.377 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.378 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 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 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.381 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.382 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 5.383 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.384 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.387 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.388 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.389 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.389 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.393 * [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 5.393 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.394 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.395 * [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 5.396 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.404 * [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 5.405 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 5.407 * [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 5.407 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.407 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.423 * [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 5.427 * [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 5.428 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.447 * [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 5.448 * [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 5.452 * [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 5.453 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.453 * [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)) 5.454 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 5.454 * [backup-simplify]: Simplify (* (cbrt N) (cbrt N)) into (pow (pow N 2) 1/3) 5.454 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 5.454 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 5.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 5.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 5.454 * [taylor]: Taking taylor expansion of 1/3 in N 5.454 * [backup-simplify]: Simplify 1/3 into 1/3 5.454 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 5.454 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.454 * [taylor]: Taking taylor expansion of N in N 5.454 * [backup-simplify]: Simplify 0 into 0 5.454 * [backup-simplify]: Simplify 1 into 1 5.454 * [backup-simplify]: Simplify (* 1 1) into 1 5.455 * [backup-simplify]: Simplify (log 1) into 0 5.455 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.455 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 5.455 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 5.455 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 5.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 5.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) 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 (pow N 2)) in N 5.455 * [taylor]: Taking taylor expansion of (pow N 2) 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 (* 1 1) into 1 5.456 * [backup-simplify]: Simplify (log 1) into 0 5.456 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.456 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 5.456 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 5.456 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 5.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.458 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.458 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 5.458 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.461 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 5.462 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 5.466 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.467 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 5.467 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.467 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.474 * [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 (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 5.476 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.476 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.486 * [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 5.486 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 5.490 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.490 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.512 * [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 5.512 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 5.514 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 5.517 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 5.517 * [backup-simplify]: Simplify (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 5.517 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 5.517 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.517 * [taylor]: Taking taylor expansion of 1/3 in N 5.517 * [backup-simplify]: Simplify 1/3 into 1/3 5.517 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.517 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.517 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.517 * [taylor]: Taking taylor expansion of N in N 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.518 * [backup-simplify]: Simplify (* 1 1) into 1 5.518 * [backup-simplify]: Simplify (/ 1 1) into 1 5.518 * [backup-simplify]: Simplify (log 1) into 0 5.518 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.518 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.518 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.518 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.518 * [taylor]: Taking taylor expansion of 1/3 in N 5.519 * [backup-simplify]: Simplify 1/3 into 1/3 5.519 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.519 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.519 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.519 * [taylor]: Taking taylor expansion of N in N 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [backup-simplify]: Simplify (* 1 1) into 1 5.519 * [backup-simplify]: Simplify (/ 1 1) into 1 5.519 * [backup-simplify]: Simplify (log 1) into 0 5.520 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.520 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.520 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.520 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.522 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 5.522 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.525 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.526 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 5.527 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.531 * [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 5.531 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.532 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 5.533 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.533 * [backup-simplify]: Simplify 0 into 0 5.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.540 * [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 5.540 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.541 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 5.543 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.553 * [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 5.554 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 5.557 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.557 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.575 * [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 5.576 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 5.588 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 5.588 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- N))) (cbrt (/ 1 (- N)))) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 5.588 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in (N) around 0 5.588 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 5.588 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.588 * [taylor]: Taking taylor expansion of 1/3 in N 5.588 * [backup-simplify]: Simplify 1/3 into 1/3 5.588 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.588 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.588 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.588 * [taylor]: Taking taylor expansion of N in N 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (* 1 1) into 1 5.589 * [backup-simplify]: Simplify (/ 1 1) into 1 5.589 * [backup-simplify]: Simplify (log 1) into 0 5.589 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.589 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.589 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.589 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.589 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.589 * [taylor]: Taking taylor expansion of -1 in N 5.590 * [backup-simplify]: Simplify -1 into -1 5.590 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.590 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.590 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) in N 5.590 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 5.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 5.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 5.590 * [taylor]: Taking taylor expansion of 1/3 in N 5.590 * [backup-simplify]: Simplify 1/3 into 1/3 5.590 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 5.590 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.590 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.590 * [taylor]: Taking taylor expansion of N in N 5.590 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 1 into 1 5.591 * [backup-simplify]: Simplify (* 1 1) into 1 5.591 * [backup-simplify]: Simplify (/ 1 1) into 1 5.591 * [backup-simplify]: Simplify (log 1) into 0 5.591 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.592 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.592 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.592 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in N 5.592 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.592 * [taylor]: Taking taylor expansion of -1 in N 5.592 * [backup-simplify]: Simplify -1 into -1 5.592 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.592 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.593 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 5.594 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 5.595 * [backup-simplify]: Simplify (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt -1) 2)) 5.595 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 5.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.597 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.598 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 5.598 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.599 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (* 0 (pow (cbrt -1) 2))) into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.601 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.604 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.605 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 5.606 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.606 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.608 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.612 * [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 5.613 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 5.614 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.615 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 5.615 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.618 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 5.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.625 * [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 5.625 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 5.627 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.628 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0 5.628 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.630 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 5.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.641 * [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 5.641 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.642 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 5.644 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.645 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))))) into 0 5.645 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.647 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.665 * [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 5.665 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 5.674 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.676 * [backup-simplify]: Simplify (+ (* (pow N -2/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))))) into 0 5.676 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3) (pow (cbrt -1) 2)) into (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 5.677 * * * [progress]: simplifying candidates 5.677 * * * * [progress]: [ 1 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 2 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 3 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 4 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 5 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 6 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 7 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 8 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 9 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 10 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 11 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 12 / 89 ] simplifiying candidate #real (real->posit16 (cbrt N)))))))> 5.677 * * * * [progress]: [ 13 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 14 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 15 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 16 / 89 ] simplifiying candidate # 5.677 * * * * [progress]: [ 17 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 18 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 19 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 20 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 21 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 22 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 23 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 24 / 89 ] simplifiying candidate #real (real->posit16 (cbrt N))))) (cbrt N)))))> 5.678 * * * * [progress]: [ 25 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 26 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 27 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 28 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 29 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 30 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 31 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 32 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 33 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 34 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 35 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 36 / 89 ] simplifiying candidate #real (real->posit16 (cbrt N))) (cbrt N))) (cbrt N)))))> 5.678 * * * * [progress]: [ 37 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 38 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 39 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 40 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 41 / 89 ] simplifiying candidate # 5.678 * * * * [progress]: [ 42 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 43 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 44 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 45 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 46 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 47 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 48 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 49 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 50 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 51 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 52 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 53 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 54 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 55 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 56 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 57 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 58 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 59 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 60 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 61 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 62 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 63 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 64 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 65 / 89 ] simplifiying candidate # 5.679 * * * * [progress]: [ 66 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 67 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 68 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 69 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 70 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 71 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 72 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 73 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 74 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 75 / 89 ] simplifiying candidate # 5.680 * * * * [progress]: [ 76 / 89 ] simplifiying candidate #real (real->posit16 (* (cbrt N) (cbrt N))))) (cbrt N)))))> 5.680 * * * * [progress]: [ 77 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 78 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 79 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 80 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 81 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 82 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 83 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 84 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 85 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 86 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 87 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 88 / 89 ] simplifiying candidate # 5.681 * * * * [progress]: [ 89 / 89 ] simplifiying candidate # 5.682 * [simplify]: Simplifying (log (cbrt N)), (exp (cbrt N)), (cbrt (* (cbrt N) (cbrt N))), (cbrt (cbrt N)), (cbrt (sqrt N)), (cbrt (sqrt N)), (cbrt 1), (cbrt N), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt (cbrt N)), (* (* (cbrt N) (cbrt N)) (cbrt N)), (sqrt (cbrt N)), (sqrt (cbrt N)), (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)), (+ 1/3 1/3), (+ 1 1), (* N N), (* (cbrt N) (cbrt N)), (+ 1 1), (+ (log (cbrt N)) (log (cbrt N))), (log (* (cbrt N) (cbrt N))), (exp (* (cbrt N) (cbrt N))), (* N N), (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))), (cbrt (* (cbrt N) (cbrt N))), (* (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))), (sqrt (* (cbrt N) (cbrt N))), (sqrt (* (cbrt N) (cbrt N))), (* (cbrt (* (cbrt N) (cbrt N))) (cbrt (* (cbrt N) (cbrt N)))), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (* (cbrt (sqrt N)) (cbrt (sqrt N))), (* (cbrt (sqrt N)) (cbrt (sqrt N))), (* (cbrt 1) (cbrt 1)), (* (cbrt N) (cbrt N)), (* (* (cbrt (cbrt N)) (cbrt (cbrt N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (* (sqrt (cbrt N)) (sqrt (cbrt N))), (* (sqrt (cbrt N)) (sqrt (cbrt N))), (* 1 1), (* (cbrt N) (cbrt N)), (* (cbrt (sqrt N)) (cbrt (sqrt N))), (* (cbrt (sqrt N)) (cbrt (sqrt N))), (* (cbrt (sqrt N)) (sqrt (cbrt N))), (* (cbrt (sqrt N)) (sqrt (cbrt N))), (* (sqrt (cbrt N)) (cbrt (sqrt N))), (* (sqrt (cbrt N)) (cbrt (sqrt N))), (* (sqrt (cbrt N)) (sqrt (cbrt N))), (* (sqrt (cbrt N)) (sqrt (cbrt N))), (* 2 1/3), (* 2 1), (* (cbrt N) (cbrt (* (cbrt N) (cbrt N)))), (* (cbrt N) (cbrt (sqrt N))), (* (cbrt N) (cbrt 1)), (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))), (* (cbrt N) (sqrt (cbrt N))), (* (cbrt N) 1), (* (cbrt (cbrt N)) (cbrt N)), (* (cbrt (sqrt N)) (cbrt N)), (* (cbrt N) (cbrt N)), (* (cbrt (cbrt N)) (cbrt N)), (* (sqrt (cbrt N)) (cbrt N)), (* (cbrt N) (cbrt N)), (real->posit16 (* (cbrt N) (cbrt N))), (pow N 1/3), (pow (/ 1 N) -1/3), (* (pow (* N -1) 1/3) (cbrt -1)), (pow N 1/3), (pow (/ 1 N) -1/3), (* (pow (* N -1) 1/3) (cbrt -1)), (pow N 1/3), (pow (/ 1 N) -1/3), (* (pow (* N -1) 1/3) (cbrt -1)), (pow N 2/3), (pow (/ 1 N) -2/3), (* (pow (pow N 2) 1/3) (pow (cbrt -1) 2)) 5.682 * * [simplify]: iteration 1: (63 enodes) 5.705 * * [simplify]: iteration 2: (239 enodes) 5.758 * * [simplify]: iteration 3: (416 enodes) 5.856 * * [simplify]: iteration 4: (973 enodes) 6.432 * * [simplify]: Extracting #0: cost 31 inf + 0 6.433 * * [simplify]: Extracting #1: cost 318 inf + 368 6.437 * * [simplify]: Extracting #2: cost 720 inf + 9260 6.445 * * [simplify]: Extracting #3: cost 588 inf + 56876 6.469 * * [simplify]: Extracting #4: cost 156 inf + 259963 6.506 * * [simplify]: Extracting #5: cost 9 inf + 339265 6.541 * * [simplify]: Extracting #6: cost 0 inf + 342497 6.578 * * [simplify]: Extracting #7: cost 0 inf + 342155 6.618 * [simplify]: Simplified to (* 1/3 (log N)), (exp (cbrt N)), (cbrt (cbrt (* N 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)), (* 1/3 (log N)), (exp (cbrt N)), (cbrt (cbrt (* N 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)), (* 1/3 (log N)), (exp (cbrt N)), (cbrt (cbrt (* N 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)), 2/3, 2, (* N N), (cbrt (* N N)), 2, (* (log N) 2/3), (* (log N) 2/3), (exp (cbrt (* N N))), (* N N), (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))), (cbrt (cbrt (* N N))), (* N N), (fabs (cbrt N)), (fabs (cbrt N)), (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (* (cbrt (sqrt N)) (cbrt (sqrt N))), (* (cbrt (sqrt N)) (cbrt (sqrt N))), 1, (cbrt (* N N)), (* (cbrt N) (cbrt (cbrt N))), (* (cbrt (cbrt N)) (cbrt (cbrt N))), (cbrt N), (cbrt N), 1, (cbrt (* N N)), (* (cbrt (sqrt N)) (cbrt (sqrt N))), (* (cbrt (sqrt N)) (cbrt (sqrt N))), (* (sqrt (cbrt N)) (cbrt (sqrt N))), (* (sqrt (cbrt N)) (cbrt (sqrt N))), (* (sqrt (cbrt N)) (cbrt (sqrt N))), (* (sqrt (cbrt N)) (cbrt (sqrt N))), (cbrt N), (cbrt N), 2/3, 2, (* (cbrt (cbrt (* N N))) (cbrt N)), (* (cbrt N) (cbrt (sqrt N))), (cbrt N), (* (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N)))), (* (cbrt N) (sqrt (cbrt N))), (cbrt N), (* (cbrt N) (cbrt (cbrt N))), (* (cbrt N) (cbrt (sqrt N))), (cbrt (* N N)), (* (cbrt N) (cbrt (cbrt N))), (* (cbrt N) (sqrt (cbrt N))), (cbrt (* N N)), (real->posit16 (cbrt (* N N))), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt -1) (cbrt (- N))), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt -1) (cbrt (- N))), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt -1) (cbrt (- N))), (cbrt (* N N)), (pow (/ 1 N) -2/3), (* (* (cbrt -1) (cbrt -1)) (cbrt (* N N))) 6.623 * * * [progress]: adding candidates to table 7.237 * * [progress]: iteration 4 / 4 7.237 * * * [progress]: picking best candidate 7.250 * * * * [pick]: Picked # 7.250 * * * [progress]: localizing error 7.274 * * * [progress]: generating rewritten candidates 7.274 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 7.278 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 7.278 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.279 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 7.324 * * * [progress]: generating series expansions 7.324 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 7.324 * [backup-simplify]: Simplify (cbrt (* N N)) into (pow (pow N 2) 1/3) 7.324 * [approximate]: Taking taylor expansion of (pow (pow N 2) 1/3) in (N) around 0 7.324 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 7.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 7.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 7.324 * [taylor]: Taking taylor expansion of 1/3 in N 7.324 * [backup-simplify]: Simplify 1/3 into 1/3 7.324 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 7.324 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.324 * [taylor]: Taking taylor expansion of N in N 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 1 into 1 7.325 * [backup-simplify]: Simplify (* 1 1) into 1 7.325 * [backup-simplify]: Simplify (log 1) into 0 7.325 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.325 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.325 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.325 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 7.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 7.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 7.325 * [taylor]: Taking taylor expansion of 1/3 in N 7.325 * [backup-simplify]: Simplify 1/3 into 1/3 7.325 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 7.325 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.325 * [taylor]: Taking taylor expansion of N in N 7.325 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 1 into 1 7.326 * [backup-simplify]: Simplify (* 1 1) into 1 7.326 * [backup-simplify]: Simplify (log 1) into 0 7.326 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.326 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 7.326 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 7.327 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 7.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.328 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 7.329 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.331 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 7.333 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.336 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.337 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.338 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 7.338 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.346 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.346 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.347 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))) into 0 7.349 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.349 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.361 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.362 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.363 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))))) into 0 7.365 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.365 * [backup-simplify]: Simplify 0 into 0 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.387 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.388 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 7.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N))))))))) into 0 7.392 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 7.392 * [backup-simplify]: Simplify (cbrt (* (/ 1 N) (/ 1 N))) into (pow (/ 1 (pow N 2)) 1/3) 7.392 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 7.392 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.393 * [taylor]: Taking taylor expansion of 1/3 in N 7.393 * [backup-simplify]: Simplify 1/3 into 1/3 7.393 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.393 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.393 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.393 * [taylor]: Taking taylor expansion of N in N 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [backup-simplify]: Simplify (* 1 1) into 1 7.393 * [backup-simplify]: Simplify (/ 1 1) into 1 7.393 * [backup-simplify]: Simplify (log 1) into 0 7.394 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.394 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.394 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.394 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.394 * [taylor]: Taking taylor expansion of 1/3 in N 7.394 * [backup-simplify]: Simplify 1/3 into 1/3 7.394 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.394 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.394 * [taylor]: Taking taylor expansion of N in N 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify 1 into 1 7.394 * [backup-simplify]: Simplify (* 1 1) into 1 7.394 * [backup-simplify]: Simplify (/ 1 1) into 1 7.395 * [backup-simplify]: Simplify (log 1) into 0 7.395 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.395 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.395 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.395 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.397 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.397 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 7.398 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.401 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 7.402 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.402 * [backup-simplify]: Simplify 0 into 0 7.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.406 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.406 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 7.408 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.408 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.415 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.415 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.416 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 7.418 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.418 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.430 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 7.433 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.433 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.451 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.452 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.453 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 7.457 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify (pow (/ 1 N) -2/3) into (pow (/ 1 N) -2/3) 7.457 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- N)) (/ 1 (- N)))) into (pow (/ 1 (pow N 2)) 1/3) 7.457 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in (N) around 0 7.457 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.457 * [taylor]: Taking taylor expansion of 1/3 in N 7.457 * [backup-simplify]: Simplify 1/3 into 1/3 7.457 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.457 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.457 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.457 * [taylor]: Taking taylor expansion of N in N 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.457 * [backup-simplify]: Simplify (* 1 1) into 1 7.458 * [backup-simplify]: Simplify (/ 1 1) into 1 7.458 * [backup-simplify]: Simplify (log 1) into 0 7.458 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.458 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.458 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.458 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 7.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 7.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 7.458 * [taylor]: Taking taylor expansion of 1/3 in N 7.458 * [backup-simplify]: Simplify 1/3 into 1/3 7.459 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 7.459 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.459 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.459 * [taylor]: Taking taylor expansion of N in N 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 1 into 1 7.459 * [backup-simplify]: Simplify (* 1 1) into 1 7.459 * [backup-simplify]: Simplify (/ 1 1) into 1 7.459 * [backup-simplify]: Simplify (log 1) into 0 7.460 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.460 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 7.460 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 7.460 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 7.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.462 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 7.463 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.463 * [backup-simplify]: Simplify 0 into 0 7.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.472 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.473 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into 0 7.474 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.474 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.478 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.478 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 7.480 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.480 * [backup-simplify]: Simplify 0 into 0 7.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.487 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.487 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into 0 7.490 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.490 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.501 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.501 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N))))))))) into 0 7.505 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.505 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.523 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.524 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 7.526 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))))) into 0 7.529 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.529 * [backup-simplify]: Simplify 0 into 0 7.529 * [backup-simplify]: Simplify (pow (/ 1 (- N)) -2/3) into (pow (/ -1 N) -2/3) 7.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 7.529 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 7.529 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 7.529 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.529 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.529 * [taylor]: Taking taylor expansion of 1/3 in N 7.529 * [backup-simplify]: Simplify 1/3 into 1/3 7.529 * [taylor]: Taking taylor expansion of (log N) in N 7.529 * [taylor]: Taking taylor expansion of N in N 7.529 * [backup-simplify]: Simplify 0 into 0 7.529 * [backup-simplify]: Simplify 1 into 1 7.530 * [backup-simplify]: Simplify (log 1) into 0 7.530 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.530 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.530 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.530 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.530 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.530 * [taylor]: Taking taylor expansion of 1/3 in N 7.530 * [backup-simplify]: Simplify 1/3 into 1/3 7.530 * [taylor]: Taking taylor expansion of (log N) in N 7.530 * [taylor]: Taking taylor expansion of N in N 7.530 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify 1 into 1 7.530 * [backup-simplify]: Simplify (log 1) into 0 7.531 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.531 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.531 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.531 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.532 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 7.533 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.533 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.535 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.535 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.536 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.536 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.539 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 7.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.549 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.550 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 7.551 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.551 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.566 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 7.569 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.569 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.587 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 7.591 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.591 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 7.591 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 7.591 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.591 * [taylor]: Taking taylor expansion of 1/3 in N 7.591 * [backup-simplify]: Simplify 1/3 into 1/3 7.591 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.591 * [taylor]: Taking taylor expansion of N in N 7.591 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [backup-simplify]: Simplify (/ 1 1) into 1 7.592 * [backup-simplify]: Simplify (log 1) into 0 7.592 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.592 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.592 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.592 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.592 * [taylor]: Taking taylor expansion of 1/3 in N 7.592 * [backup-simplify]: Simplify 1/3 into 1/3 7.592 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.593 * [taylor]: Taking taylor expansion of N in N 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [backup-simplify]: Simplify (/ 1 1) into 1 7.593 * [backup-simplify]: Simplify (log 1) into 0 7.593 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.593 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.593 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.593 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.595 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.596 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.596 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.598 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.598 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.599 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.599 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.599 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.603 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.603 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.604 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.605 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.611 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.611 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.614 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.624 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.624 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.628 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.628 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.652 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.653 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.654 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.657 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 7.657 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.657 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in (N) around 0 7.657 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.657 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.658 * [taylor]: Taking taylor expansion of 1/3 in N 7.658 * [backup-simplify]: Simplify 1/3 into 1/3 7.658 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.658 * [taylor]: Taking taylor expansion of N in N 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.658 * [backup-simplify]: Simplify (/ 1 1) into 1 7.658 * [backup-simplify]: Simplify (log 1) into 0 7.658 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.658 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.659 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.659 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.659 * [taylor]: Taking taylor expansion of -1 in N 7.659 * [backup-simplify]: Simplify -1 into -1 7.659 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.659 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.659 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt -1)) in N 7.659 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.660 * [taylor]: Taking taylor expansion of 1/3 in N 7.660 * [backup-simplify]: Simplify 1/3 into 1/3 7.660 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.660 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.660 * [taylor]: Taking taylor expansion of N in N 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [backup-simplify]: Simplify (/ 1 1) into 1 7.660 * [backup-simplify]: Simplify (log 1) into 0 7.660 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.660 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.661 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.661 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.661 * [taylor]: Taking taylor expansion of -1 in N 7.661 * [backup-simplify]: Simplify -1 into -1 7.661 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.661 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.662 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.662 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 7.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.664 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.664 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.664 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.665 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt -1))) into 0 7.665 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.668 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.669 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.669 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.670 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 7.670 * [backup-simplify]: Simplify 0 into 0 7.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.674 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.674 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.675 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.676 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.676 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 7.676 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.684 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 7.684 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.685 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.687 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.687 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 7.687 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.698 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.698 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.700 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.702 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.702 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 7.703 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.721 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.723 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.726 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.727 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 7.727 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)) into (* (pow (* N -1) 1/3) (cbrt -1)) 7.728 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.728 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.728 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 7.729 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.729 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.729 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 7.729 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.729 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.730 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ (/ 1 N) 1) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.730 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 7.730 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.730 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.730 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 7.730 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.730 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 7.731 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (+ (/ 1 (- N)) 1) (cbrt (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (/ 1 (- N)))))) into (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) 7.731 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) in (N) around 0 7.731 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) in N 7.732 * [backup-simplify]: Simplify (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) into (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) 7.732 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) in N 7.738 * [backup-simplify]: Simplify (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) into (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) 7.739 * [backup-simplify]: Simplify (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) into (atan2 1 (- (+ 1 (/ (cbrt -1) N)) (/ (cbrt -1) (pow N 2)))) 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify (atan2 1 (- (+ 1 (/ (cbrt -1) (/ 1 (- N)))) (/ (cbrt -1) (pow (/ 1 (- N)) 2)))) into (atan2 1 (- 1 (+ (* (pow N 2) (cbrt -1)) (* N (cbrt -1))))) 7.740 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 7.740 * [backup-simplify]: Simplify (* (* (+ N 1) (cbrt (* N N))) (cbrt N)) into (* (+ N 1) N) 7.740 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 7.740 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 7.740 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.740 * [taylor]: Taking taylor expansion of N in N 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [taylor]: Taking taylor expansion of 1 in N 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [taylor]: Taking taylor expansion of N in N 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 7.740 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.740 * [taylor]: Taking taylor expansion of N in N 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [taylor]: Taking taylor expansion of 1 in N 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [taylor]: Taking taylor expansion of N in N 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 1 into 1 7.741 * [backup-simplify]: Simplify (+ 0 1) into 1 7.741 * [backup-simplify]: Simplify (* 1 0) into 0 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify (+ 1 0) into 1 7.742 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 7.742 * [backup-simplify]: Simplify 1 into 1 7.742 * [backup-simplify]: Simplify (+ 0 0) into 0 7.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 7.742 * [backup-simplify]: Simplify 1 into 1 7.743 * [backup-simplify]: Simplify (+ 0 0) into 0 7.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify (+ 0 0) into 0 7.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.744 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify (+ 0 0) into 0 7.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.745 * [backup-simplify]: Simplify 0 into 0 7.745 * [backup-simplify]: Simplify (+ 0 0) into 0 7.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.746 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify (+ 0 0) into 0 7.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.747 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify (+ 0 0) into 0 7.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 7.749 * [backup-simplify]: Simplify (* (* (+ (/ 1 N) 1) (cbrt (* (/ 1 N) (/ 1 N)))) (cbrt (/ 1 N))) into (/ (+ (/ 1 N) 1) N) 7.749 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 7.749 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 7.749 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.749 * [taylor]: Taking taylor expansion of N in N 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 1 into 1 7.749 * [backup-simplify]: Simplify (/ 1 1) into 1 7.749 * [taylor]: Taking taylor expansion of 1 in N 7.749 * [backup-simplify]: Simplify 1 into 1 7.750 * [taylor]: Taking taylor expansion of N in N 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [backup-simplify]: Simplify (+ 1 0) into 1 7.750 * [backup-simplify]: Simplify (/ 1 1) into 1 7.750 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 7.750 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.750 * [taylor]: Taking taylor expansion of N in N 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [backup-simplify]: Simplify (/ 1 1) into 1 7.750 * [taylor]: Taking taylor expansion of 1 in N 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [taylor]: Taking taylor expansion of N in N 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (+ 1 0) into 1 7.751 * [backup-simplify]: Simplify (/ 1 1) into 1 7.751 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.752 * [backup-simplify]: Simplify (+ 0 1) into 1 7.752 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.752 * [backup-simplify]: Simplify 1 into 1 7.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.753 * [backup-simplify]: Simplify (+ 0 0) into 0 7.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.754 * [backup-simplify]: Simplify (+ 0 0) into 0 7.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.756 * [backup-simplify]: Simplify (+ 0 0) into 0 7.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.756 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.757 * [backup-simplify]: Simplify (+ 0 0) into 0 7.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.758 * [backup-simplify]: Simplify (+ 0 0) into 0 7.759 * [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 7.759 * [backup-simplify]: Simplify 0 into 0 7.760 * [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 7.760 * [backup-simplify]: Simplify (+ 0 0) into 0 7.760 * [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 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 7.761 * [backup-simplify]: Simplify (* (* (+ (/ 1 (- N)) 1) (cbrt (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (/ 1 (- N)))) into (/ (* (cbrt -1) (- 1 (/ 1 N))) N) 7.761 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (- 1 (/ 1 N))) N) in (N) around 0 7.761 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1 (/ 1 N))) N) in N 7.761 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1 (/ 1 N))) in N 7.761 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.761 * [taylor]: Taking taylor expansion of -1 in N 7.761 * [backup-simplify]: Simplify -1 into -1 7.761 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.762 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.762 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.762 * [taylor]: Taking taylor expansion of 1 in N 7.762 * [backup-simplify]: Simplify 1 into 1 7.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.762 * [taylor]: Taking taylor expansion of N in N 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 1 into 1 7.762 * [backup-simplify]: Simplify (/ 1 1) into 1 7.762 * [taylor]: Taking taylor expansion of N in N 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 1 into 1 7.762 * [backup-simplify]: Simplify (- 1) into -1 7.762 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.763 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 7.764 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 7.764 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (- 1 (/ 1 N))) N) in N 7.764 * [taylor]: Taking taylor expansion of (* (cbrt -1) (- 1 (/ 1 N))) in N 7.764 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.764 * [taylor]: Taking taylor expansion of -1 in N 7.764 * [backup-simplify]: Simplify -1 into -1 7.764 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.765 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.765 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.765 * [taylor]: Taking taylor expansion of 1 in N 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.765 * [taylor]: Taking taylor expansion of N in N 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [backup-simplify]: Simplify (/ 1 1) into 1 7.765 * [taylor]: Taking taylor expansion of N in N 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [backup-simplify]: Simplify (- 1) into -1 7.766 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.766 * [backup-simplify]: Simplify (* (cbrt -1) -1) into (* -1 (cbrt -1)) 7.767 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1)) 7.768 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 7.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.768 * [backup-simplify]: Simplify (- 0) into 0 7.769 * [backup-simplify]: Simplify (+ 1 0) into 1 7.770 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 -1)) into (cbrt -1) 7.772 * [backup-simplify]: Simplify (- (/ (cbrt -1) 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)))) into (cbrt -1) 7.772 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.773 * [backup-simplify]: Simplify (- 0) into 0 7.773 * [backup-simplify]: Simplify (+ 0 0) into 0 7.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.775 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 -1))) into 0 7.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)))) into 0 7.775 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.776 * [backup-simplify]: Simplify (- 0) into 0 7.776 * [backup-simplify]: Simplify (+ 0 0) into 0 7.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.778 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 7.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (- 0) into 0 7.780 * [backup-simplify]: Simplify (+ 0 0) into 0 7.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.782 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 7.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.784 * [backup-simplify]: Simplify (- 0) into 0 7.784 * [backup-simplify]: Simplify (+ 0 0) into 0 7.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.786 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 7.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.787 * [backup-simplify]: Simplify (- 0) into 0 7.788 * [backup-simplify]: Simplify (+ 0 0) into 0 7.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.790 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 7.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [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 7.792 * [backup-simplify]: Simplify (- 0) into 0 7.792 * [backup-simplify]: Simplify (+ 0 0) into 0 7.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.794 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 7.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cbrt -1)) (/ 0 1)) (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 (/ 1 (- N)))) (* (* -1 (cbrt -1)) (pow (/ 1 (/ 1 (- N))) 2))) into (- (+ (* (pow N 2) (cbrt -1)) (* N (cbrt -1)))) 7.796 * * * [progress]: simplifying candidates 7.796 * * * * [progress]: [ 1 / 66 ] simplifiying candidate # 7.796 * * * * [progress]: [ 2 / 66 ] simplifiying candidate # 7.796 * * * * [progress]: [ 3 / 66 ] simplifiying candidate # 7.796 * * * * [progress]: [ 4 / 66 ] simplifiying candidate # 7.796 * * * * [progress]: [ 5 / 66 ] simplifiying candidate # 7.796 * * * * [progress]: [ 6 / 66 ] simplifiying candidate # 7.796 * * * * [progress]: [ 7 / 66 ] simplifiying candidate # 7.796 * * * * [progress]: [ 8 / 66 ] simplifiying candidate # 7.796 * * * * [progress]: [ 9 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 10 / 66 ] simplifiying candidate #real (real->posit16 (cbrt (* N N))))) (cbrt N)))))> 7.797 * * * * [progress]: [ 11 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 12 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 13 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 14 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 15 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 16 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 17 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 18 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 19 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 20 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 21 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 22 / 66 ] simplifiying candidate #real (real->posit16 (cbrt N)))))))> 7.797 * * * * [progress]: [ 23 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 24 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 25 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 26 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 27 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 28 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 29 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 30 / 66 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))))))> 7.797 * * * * [progress]: [ 31 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 32 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 33 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 34 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 35 / 66 ] simplifiying candidate # 7.797 * * * * [progress]: [ 36 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 37 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 38 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 39 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 40 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 41 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 42 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 43 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 44 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 45 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 46 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 47 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 48 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 49 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 50 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 51 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 52 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 53 / 66 ] simplifiying candidate #real (real->posit16 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))))))> 7.798 * * * * [progress]: [ 54 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 55 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 56 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 57 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 58 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 59 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 60 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 61 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 62 / 66 ] simplifiying candidate # 7.798 * * * * [progress]: [ 63 / 66 ] simplifiying candidate # 7.799 * * * * [progress]: [ 64 / 66 ] simplifiying candidate # 7.799 * * * * [progress]: [ 65 / 66 ] simplifiying candidate # 7.799 * * * * [progress]: [ 66 / 66 ] simplifiying candidate # 7.799 * [simplify]: Simplifying (log (cbrt (* N N))), (exp (cbrt (* N N))), (cbrt N), (cbrt N), (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))), (cbrt (cbrt (* N N))), (* (* (cbrt (* N N)) (cbrt (* N N))) (cbrt (* N N))), (sqrt (cbrt (* N N))), (sqrt (cbrt (* N N))), (real->posit16 (cbrt (* N 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 (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))), (exp (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))), (* (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))))), (cbrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))), (* (* (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))) (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))) (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))), (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))), (sqrt (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))), (real->posit16 (atan2 1 (+ 1 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))))), (* (* (+ N 1) (cbrt (* N N))) (cbrt N)), (* (* (+ N 1) (cbrt (* N N))) (cbrt N)), (+ (+ (log (+ N 1)) (log (cbrt (* N N)))) (log (cbrt N))), (+ (log (* (+ N 1) (cbrt (* N N)))) (log (cbrt N))), (log (* (* (+ N 1) (cbrt (* N N))) (cbrt N))), (exp (* (* (+ N 1) (cbrt (* N N))) (cbrt N))), (* (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* N N)) N), (* (* (* (* (+ N 1) (cbrt (* N N))) (* (+ N 1) (cbrt (* N N)))) (* (+ N 1) (cbrt (* N N)))) N), (* (cbrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (cbrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N)))), (cbrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N))), (* (* (* (* (+ N 1) (cbrt (* N N))) (cbrt N)) (* (* (+ N 1) (cbrt (* N N))) (cbrt N))) (* (* (+ N 1) (cbrt (* N N))) (cbrt N))), (sqrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N))), (sqrt (* (* (+ N 1) (cbrt (* N N))) (cbrt N))), (* (* (+ N 1) (cbrt (* N N))) (cbrt (* (cbrt N) (cbrt N)))), (* (* (+ N 1) (cbrt (* N N))) (cbrt (sqrt N))), (* (* (+ N 1) (cbrt (* N N))) (cbrt 1)), (* (* (+ N 1) (cbrt (* N N))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))), (* (* (+ N 1) (cbrt (* N N))) (sqrt (cbrt N))), (* (* (+ N 1) (cbrt (* N N))) 1), (* (cbrt (* N N)) (cbrt N)), (* (* (+ (pow N 3) (pow 1 3)) (cbrt (* N N))) (cbrt N)), (* (* (- (* N N) (* 1 1)) (cbrt (* N N))) (cbrt N)), (real->posit16 (* (* (+ N 1) (cbrt (* N N))) (cbrt N))), (pow N 2/3), (pow (/ 1 N) -2/3), (pow (/ -1 N) -2/3), (pow N 1/3), (pow (/ 1 N) -1/3), (* (pow (* N -1) 1/3) (cbrt -1)), (atan2 1 (+ N (+ (pow N 2) 1))), (atan2 1 (+ N (+ (pow N 2) 1))), (atan2 1 (- 1 (+ (* (pow N 2) (cbrt -1)) (* N (cbrt -1))))), (+ N (pow N 2)), (+ N (pow N 2)), (- (+ (* (pow N 2) (cbrt -1)) (* N (cbrt -1)))) 7.800 * * [simplify]: iteration 1: (103 enodes) 7.838 * * [simplify]: iteration 2: (423 enodes) 7.931 * * [simplify]: iteration 3: (931 enodes) 8.261 * * [simplify]: Extracting #0: cost 50 inf + 0 8.262 * * [simplify]: Extracting #1: cost 271 inf + 205 8.265 * * [simplify]: Extracting #2: cost 514 inf + 13252 8.276 * * [simplify]: Extracting #3: cost 289 inf + 75694 8.308 * * [simplify]: Extracting #4: cost 37 inf + 167290 8.337 * * [simplify]: Extracting #5: cost 1 inf + 183572 8.366 * * [simplify]: Extracting #6: cost 0 inf + 184104 8.397 * [simplify]: Simplified to (log (cbrt (* N N))), (exp (cbrt (* N N))), (cbrt N), (cbrt N), (* (cbrt (cbrt (* N N))) (cbrt (cbrt (* N N)))), (cbrt (cbrt (* N N))), (* N N), (sqrt (cbrt (* N N))), (sqrt (cbrt (* N N))), (real->posit16 (cbrt (* N N))), (* (log N) 1/3), (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 (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N)))))), (exp (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N)))))), (* (cbrt (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N)))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N))))))), (cbrt (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N)))))), (* (* (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N))))) (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N)))))) (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N)))))), (sqrt (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N)))))), (sqrt (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N)))))), (real->posit16 (atan2 1 (+ 1 (* (* (cbrt N) (+ N 1)) (cbrt (* N N)))))), (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N)), (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N)), (log (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N))), (log (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N))), (log (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N))), (exp (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N))), (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))), (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))), (* (cbrt (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N))) (cbrt (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N)))), (cbrt (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N))), (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))), (sqrt (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N))), (sqrt (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N))), (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt (* (cbrt N) (cbrt N)))), (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt (sqrt N))), (+ (cbrt (* N N)) (* N (cbrt (* N N)))), (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (* (cbrt (cbrt N)) (cbrt (cbrt N)))), (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (sqrt (cbrt N))), (+ (cbrt (* N N)) (* N (cbrt (* N N)))), (* (cbrt N) (cbrt (* N N))), (+ (* (cbrt N) (cbrt (* N N))) (* (* (cbrt N) (cbrt (* N N))) (* (* N N) N))), (* (cbrt N) (* (cbrt (* N N)) (- (* N N) 1))), (real->posit16 (* (+ (cbrt (* N N)) (* N (cbrt (* N N)))) (cbrt N))), (* (cbrt N) (cbrt N)), (pow (/ 1 N) -2/3), (pow (/ -1 N) -2/3), (cbrt N), (pow (/ 1 N) -1/3), (* (cbrt (- N)) (cbrt -1)), (atan2 1 (+ (+ N 1) (* N N))), (atan2 1 (+ (+ N 1) (* N N))), (atan2 1 (- 1 (* (cbrt -1) (+ N (* N N))))), (+ N (* N N)), (+ N (* N N)), (- (* (cbrt -1) (+ N (* N N)))) 8.400 * * * [progress]: adding candidates to table 8.888 * [progress]: [Phase 3 of 3] Extracting. 8.888 * * [regime]: Finding splitpoints for: (# # # # # # # #) 8.888 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N))) 8.888 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 8.924 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # # #) 8.964 * * * [regime]: Found split indices: #