16.351 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.044 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.044 * * [simplify]: iteration 0: 6 enodes 0.046 * * [simplify]: iteration 1: 11 enodes 0.047 * * [simplify]: iteration 2: 12 enodes 0.049 * * [simplify]: iteration complete: 12 enodes 0.049 * * [simplify]: Extracting #0: cost 1 inf + 0 0.049 * * [simplify]: Extracting #1: cost 4 inf + 0 0.049 * * [simplify]: Extracting #2: cost 6 inf + 0 0.049 * * [simplify]: Extracting #3: cost 4 inf + 253 0.049 * * [simplify]: Extracting #4: cost 0 inf + 735 0.049 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.068 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.068 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.068 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.068 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.069 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.069 * [taylor]: Taking taylor expansion of (atan N) in N 0.069 * [backup-simplify]: Simplify (atan N) into (atan N) 0.069 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.069 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.069 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.069 * [taylor]: Taking taylor expansion of (atan N) in N 0.069 * [backup-simplify]: Simplify (atan N) into (atan N) 0.069 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.069 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.069 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.072 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.072 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.072 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.072 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.072 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.072 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.072 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.072 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.073 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.073 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.073 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.073 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.073 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.073 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.076 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.076 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.076 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.076 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.076 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.076 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.076 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.076 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.076 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.076 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.076 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.077 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.077 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.077 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.081 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.081 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.081 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.081 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.081 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.081 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.082 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.082 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.082 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.082 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.082 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.082 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.082 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.083 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.083 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.083 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.083 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.083 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.083 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.084 * * * [progress]: simplifying candidates 0.084 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.084 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.085 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.085 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.085 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.086 * [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)) 0.087 * * [simplify]: iteration 0: 41 enodes 0.118 * * [simplify]: iteration 1: 77 enodes 0.141 * * [simplify]: iteration 2: 151 enodes 0.173 * * [simplify]: iteration 3: 313 enodes 0.262 * * [simplify]: iteration 4: 719 enodes 0.546 * * [simplify]: iteration 5: 2000 enodes 1.006 * * [simplify]: iteration complete: 2000 enodes 1.006 * * [simplify]: Extracting #0: cost 25 inf + 0 1.006 * * [simplify]: Extracting #1: cost 161 inf + 1 1.010 * * [simplify]: Extracting #2: cost 367 inf + 4218 1.020 * * [simplify]: Extracting #3: cost 251 inf + 42923 1.059 * * [simplify]: Extracting #4: cost 102 inf + 112172 1.103 * * [simplify]: Extracting #5: cost 27 inf + 166628 1.148 * * [simplify]: Extracting #6: cost 9 inf + 171035 1.193 * * [simplify]: Extracting #7: cost 0 inf + 174257 1.240 * [simplify]: Simplified to: 1 (+ (+ (* N N) N) 1) (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 (+ 1 N))) (* (atan N) (atan 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)) 1.242 * * * [progress]: adding candidates to table 1.382 * * [progress]: iteration 2 / 4 1.382 * * * [progress]: picking best candidate 1.386 * * * * [pick]: Picked # 1.386 * * * [progress]: localizing error 1.397 * * * [progress]: generating rewritten candidates 1.397 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.398 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.418 * * * [progress]: generating series expansions 1.419 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.423 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.423 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1.423 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.423 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.423 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.423 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.424 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.424 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.424 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1.424 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.425 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.425 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.425 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.425 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.426 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.426 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1.426 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.426 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.426 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.427 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.427 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.427 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.428 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1.428 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1.428 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.428 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.428 * [taylor]: Taking taylor expansion of N in N 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [taylor]: Taking taylor expansion of 1 in N 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [taylor]: Taking taylor expansion of N in N 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.428 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.428 * [taylor]: Taking taylor expansion of N in N 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [taylor]: Taking taylor expansion of 1 in N 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [taylor]: Taking taylor expansion of N in N 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (+ 0 1) into 1 1.429 * [backup-simplify]: Simplify (* 1 0) into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify (+ 1 0) into 1 1.430 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1.444 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1.444 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.444 * [taylor]: Taking taylor expansion of N in N 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (/ 1 1) into 1 1.444 * [taylor]: Taking taylor expansion of 1 in N 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [taylor]: Taking taylor expansion of N in N 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (+ 1 0) into 1 1.445 * [backup-simplify]: Simplify (/ 1 1) into 1 1.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.445 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.446 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.446 * [taylor]: Taking taylor expansion of N in N 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [taylor]: Taking taylor expansion of 1 in N 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [taylor]: Taking taylor expansion of N in N 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (+ 1 0) into 1 1.447 * [backup-simplify]: Simplify (/ 1 1) into 1 1.447 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.448 * [backup-simplify]: Simplify (+ 0 1) into 1 1.449 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.449 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [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 1.462 * [backup-simplify]: Simplify 0 into 0 1.463 * [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 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.464 * [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 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1.464 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1.464 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1.464 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.464 * [taylor]: Taking taylor expansion of -1 in N 1.465 * [backup-simplify]: Simplify -1 into -1 1.465 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.465 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.465 * [taylor]: Taking taylor expansion of 1 in N 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.465 * [taylor]: Taking taylor expansion of N in N 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (/ 1 1) into 1 1.465 * [taylor]: Taking taylor expansion of N in N 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (- 1) into -1 1.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.466 * [backup-simplify]: Simplify (/ -1 1) into -1 1.466 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.466 * [taylor]: Taking taylor expansion of -1 in N 1.466 * [backup-simplify]: Simplify -1 into -1 1.467 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.467 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.467 * [taylor]: Taking taylor expansion of 1 in N 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.467 * [taylor]: Taking taylor expansion of N in N 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (/ 1 1) into 1 1.467 * [taylor]: Taking taylor expansion of N in N 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (- 1) into -1 1.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.468 * [backup-simplify]: Simplify (/ -1 1) into -1 1.469 * [backup-simplify]: Simplify (* -1 -1) into 1 1.469 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.470 * [backup-simplify]: Simplify (- 0) into 0 1.470 * [backup-simplify]: Simplify (+ 1 0) into 1 1.471 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1.472 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.472 * [backup-simplify]: Simplify -1 into -1 1.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.473 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify (- 0) into 0 1.482 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (- 0) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [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 1.494 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [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 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [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 1.500 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1.500 * * * [progress]: simplifying candidates 1.500 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 1.500 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 1.500 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 1.500 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 1.500 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 1.500 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 1.501 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 1.501 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 1.502 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 1.502 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 1.503 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) (* (+ N 1) N) (+ (log (+ N 1)) (log N)) (log (* (+ N 1) N)) (exp (* (+ N 1) N)) (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)) (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)) (* (+ N 1) (* (cbrt N) (cbrt N))) (* (+ N 1) (sqrt N)) (* (+ N 1) 1) (* (cbrt (+ N 1)) N) (* (sqrt (+ N 1)) N) (* (+ N 1) N) (* (+ N 1) N) (* (+ (pow N 3) (pow 1 3)) N) (* (- (* N N) (* 1 1)) N) (real->posit16 (* (+ N 1) N)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 1.504 * * [simplify]: iteration 0: 55 enodes 1.527 * * [simplify]: iteration 1: 121 enodes 1.597 * * [simplify]: iteration 2: 266 enodes 1.755 * * [simplify]: iteration 3: 706 enodes 2.053 * * [simplify]: iteration 4: 2002 enodes 2.589 * * [simplify]: iteration complete: 2002 enodes 2.589 * * [simplify]: Extracting #0: cost 25 inf + 0 2.600 * * [simplify]: Extracting #1: cost 226 inf + 0 2.601 * * [simplify]: Extracting #2: cost 656 inf + 1431 2.606 * * [simplify]: Extracting #3: cost 562 inf + 17030 2.615 * * [simplify]: Extracting #4: cost 262 inf + 65696 2.641 * * [simplify]: Extracting #5: cost 21 inf + 126069 2.679 * * [simplify]: Extracting #6: cost 0 inf + 131716 2.718 * [simplify]: Simplified to: (log (atan2 1 (+ (* (+ 1 N) N) 1))) (exp (atan2 1 (+ (* (+ 1 N) N) 1))) (* (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1)))) (cbrt (atan2 1 (+ (* (+ 1 N) N) 1))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (atan2 1 (+ (* (+ 1 N) N) 1)))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (real->posit16 (atan2 1 (+ (* (+ 1 N) N) 1))) (* (+ 1 N) N) (log (* (+ 1 N) N)) (log (* (+ 1 N) N)) (exp (* (+ 1 N) N)) (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N)) (* (cbrt (* (+ 1 N) N)) (cbrt (* (+ 1 N) N))) (cbrt (* (+ 1 N) N)) (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N)) (sqrt (* (+ 1 N) N)) (sqrt (* (+ 1 N) N)) (* (sqrt N) (sqrt (+ 1 N))) (* (sqrt N) (sqrt (+ 1 N))) (* (* (cbrt N) (cbrt N)) (+ 1 N)) (* (sqrt N) (+ 1 N)) (+ 1 N) (* (cbrt (+ 1 N)) N) (* N (sqrt (+ 1 N))) (* (+ 1 N) N) (* (+ 1 N) N) (+ N (* (* N N) (* N N))) (* N (+ (* N N) -1)) (real->posit16 (* (+ 1 N) N)) (atan2 1 (+ N (+ 1 (* N N)))) (atan2 1 (+ N (+ 1 (* N N)))) (atan2 1 (+ N (+ 1 (* N N)))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 2.721 * * * [progress]: adding candidates to table 2.869 * * [progress]: iteration 3 / 4 2.869 * * * [progress]: picking best candidate 2.892 * * * * [pick]: Picked # 2.892 * * * [progress]: localizing error 2.933 * * * [progress]: generating rewritten candidates 2.934 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.934 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 2.937 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 2.939 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 2.942 * * * [progress]: generating series expansions 2.942 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.942 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.942 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.942 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.943 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.943 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.943 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.943 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.943 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.943 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.943 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.943 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.943 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.944 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.944 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.944 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.944 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.944 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.944 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.944 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.945 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.945 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.945 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 2.945 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 2.945 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 2.945 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.945 * [taylor]: Taking taylor expansion of 1/3 in N 2.945 * [backup-simplify]: Simplify 1/3 into 1/3 2.945 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.945 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.945 * [taylor]: Taking taylor expansion of N in N 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [taylor]: Taking taylor expansion of 1 in N 2.945 * [backup-simplify]: Simplify 1 into 1 2.946 * [backup-simplify]: Simplify (+ 0 1) into 1 2.946 * [backup-simplify]: Simplify (log 1) into 0 2.946 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.947 * [backup-simplify]: Simplify (+ 1 0) into 1 2.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.948 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.948 * [backup-simplify]: Simplify (exp 0) into 1 2.948 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.948 * [taylor]: Taking taylor expansion of 1/3 in N 2.948 * [backup-simplify]: Simplify 1/3 into 1/3 2.948 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.948 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.948 * [taylor]: Taking taylor expansion of N in N 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [taylor]: Taking taylor expansion of 1 in N 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (+ 0 1) into 1 2.949 * [backup-simplify]: Simplify (log 1) into 0 2.949 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.949 * [backup-simplify]: Simplify (+ 1 0) into 1 2.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.950 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.950 * [backup-simplify]: Simplify (exp 0) into 1 2.950 * [backup-simplify]: Simplify 1 into 1 2.951 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.951 * [backup-simplify]: Simplify 1/3 into 1/3 2.951 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.954 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 2.955 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 2.955 * [backup-simplify]: Simplify -1/9 into -1/9 2.955 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 2.955 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 2.955 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 2.955 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.955 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.955 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.955 * [taylor]: Taking taylor expansion of 1/3 in N 2.955 * [backup-simplify]: Simplify 1/3 into 1/3 2.955 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.955 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.955 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.955 * [taylor]: Taking taylor expansion of N in N 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [backup-simplify]: Simplify (/ 1 1) into 1 2.955 * [taylor]: Taking taylor expansion of 1 in N 2.955 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (+ 1 0) into 1 2.956 * [backup-simplify]: Simplify (log 1) into 0 2.956 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.956 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.956 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.956 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.956 * [taylor]: Taking taylor expansion of 1/3 in N 2.956 * [backup-simplify]: Simplify 1/3 into 1/3 2.956 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.956 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.956 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.956 * [taylor]: Taking taylor expansion of N in N 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (/ 1 1) into 1 2.957 * [taylor]: Taking taylor expansion of 1 in N 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (+ 1 0) into 1 2.957 * [backup-simplify]: Simplify (log 1) into 0 2.957 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.957 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.958 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.958 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.958 * [backup-simplify]: Simplify (+ 0 1) into 1 2.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.959 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.960 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 2.960 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 2.960 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (+ 0 0) into 0 2.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.963 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.963 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 2.964 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 2.965 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 2.965 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) 2.965 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 2.965 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 2.965 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.965 * [taylor]: Taking taylor expansion of 1/3 in N 2.965 * [backup-simplify]: Simplify 1/3 into 1/3 2.965 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.965 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.965 * [taylor]: Taking taylor expansion of 1 in N 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.965 * [taylor]: Taking taylor expansion of N in N 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (/ 1 1) into 1 2.966 * [backup-simplify]: Simplify (- 1) into -1 2.966 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.966 * [backup-simplify]: Simplify (log -1) into (log -1) 2.967 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.968 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.968 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.968 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.968 * [taylor]: Taking taylor expansion of 1/3 in N 2.968 * [backup-simplify]: Simplify 1/3 into 1/3 2.968 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.968 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.968 * [taylor]: Taking taylor expansion of 1 in N 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.968 * [taylor]: Taking taylor expansion of N in N 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (/ 1 1) into 1 2.969 * [backup-simplify]: Simplify (- 1) into -1 2.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.970 * [backup-simplify]: Simplify (log -1) into (log -1) 2.971 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.971 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.972 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.972 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (- 0) into 0 2.975 * [backup-simplify]: Simplify (+ 1 0) into 1 2.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.977 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.978 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 2.979 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 2.980 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (- 0) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.985 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.987 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 2.990 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 2.991 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 2.993 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 2.993 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 2.993 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 2.993 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 2.993 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.993 * [taylor]: Taking taylor expansion of 1/3 in N 2.993 * [backup-simplify]: Simplify 1/3 into 1/3 2.993 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.993 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.993 * [taylor]: Taking taylor expansion of N in N 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [taylor]: Taking taylor expansion of 1 in N 2.993 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (+ 0 1) into 1 2.994 * [backup-simplify]: Simplify (log 1) into 0 2.995 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.995 * [backup-simplify]: Simplify (+ 1 0) into 1 2.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.997 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.997 * [backup-simplify]: Simplify (exp 0) into 1 2.997 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.997 * [taylor]: Taking taylor expansion of 1/3 in N 2.997 * [backup-simplify]: Simplify 1/3 into 1/3 2.997 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.997 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.997 * [taylor]: Taking taylor expansion of N in N 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.997 * [taylor]: Taking taylor expansion of 1 in N 2.997 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (+ 0 1) into 1 2.998 * [backup-simplify]: Simplify (log 1) into 0 2.999 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.999 * [backup-simplify]: Simplify (+ 1 0) into 1 3.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.001 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.001 * [backup-simplify]: Simplify (exp 0) into 1 3.001 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.002 * [backup-simplify]: Simplify 1/3 into 1/3 3.003 * [backup-simplify]: Simplify (+ 0 0) into 0 3.005 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.011 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 3.013 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 3.013 * [backup-simplify]: Simplify -1/9 into -1/9 3.013 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 3.013 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 3.013 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 3.013 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 3.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 3.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 3.013 * [taylor]: Taking taylor expansion of 1/3 in N 3.013 * [backup-simplify]: Simplify 1/3 into 1/3 3.013 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 3.013 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.013 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.013 * [taylor]: Taking taylor expansion of N in N 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (/ 1 1) into 1 3.014 * [taylor]: Taking taylor expansion of 1 in N 3.014 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (+ 1 0) into 1 3.015 * [backup-simplify]: Simplify (log 1) into 0 3.016 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.016 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.016 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.016 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 3.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 3.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 3.016 * [taylor]: Taking taylor expansion of 1/3 in N 3.016 * [backup-simplify]: Simplify 1/3 into 1/3 3.016 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 3.016 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.016 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.016 * [taylor]: Taking taylor expansion of N in N 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (/ 1 1) into 1 3.016 * [taylor]: Taking taylor expansion of 1 in N 3.016 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (+ 1 0) into 1 3.017 * [backup-simplify]: Simplify (log 1) into 0 3.018 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.018 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.018 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.018 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.019 * [backup-simplify]: Simplify (+ 0 1) into 1 3.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.021 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.021 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 3.022 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 3.022 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.027 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.028 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.029 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 3.030 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 3.030 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) 3.030 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 3.030 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 3.030 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.031 * [taylor]: Taking taylor expansion of 1/3 in N 3.031 * [backup-simplify]: Simplify 1/3 into 1/3 3.031 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.031 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.031 * [taylor]: Taking taylor expansion of 1 in N 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.031 * [taylor]: Taking taylor expansion of N in N 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [backup-simplify]: Simplify (- 1) into -1 3.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.032 * [backup-simplify]: Simplify (log -1) into (log -1) 3.033 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.034 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.034 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.034 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.034 * [taylor]: Taking taylor expansion of 1/3 in N 3.034 * [backup-simplify]: Simplify 1/3 into 1/3 3.034 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.034 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.034 * [taylor]: Taking taylor expansion of 1 in N 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.034 * [taylor]: Taking taylor expansion of N in N 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.035 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [backup-simplify]: Simplify (- 1) into -1 3.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.036 * [backup-simplify]: Simplify (log -1) into (log -1) 3.037 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.038 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.038 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.039 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (- 0) into 0 3.040 * [backup-simplify]: Simplify (+ 1 0) into 1 3.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.042 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.043 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 3.045 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.045 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (- 0) into 0 3.047 * [backup-simplify]: Simplify (+ 0 0) into 0 3.050 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.051 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.052 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 3.055 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.055 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.057 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 3.057 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 3.057 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 3.057 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 3.058 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 3.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 3.058 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 3.058 * [taylor]: Taking taylor expansion of 1/3 in N 3.058 * [backup-simplify]: Simplify 1/3 into 1/3 3.058 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 3.058 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.058 * [taylor]: Taking taylor expansion of N in N 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [taylor]: Taking taylor expansion of 1 in N 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [backup-simplify]: Simplify (+ 0 1) into 1 3.059 * [backup-simplify]: Simplify (log 1) into 0 3.059 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.060 * [backup-simplify]: Simplify (+ 1 0) into 1 3.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.062 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.062 * [backup-simplify]: Simplify (exp 0) into 1 3.062 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 3.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 3.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 3.062 * [taylor]: Taking taylor expansion of 1/3 in N 3.062 * [backup-simplify]: Simplify 1/3 into 1/3 3.062 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 3.062 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.062 * [taylor]: Taking taylor expansion of N in N 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [taylor]: Taking taylor expansion of 1 in N 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [backup-simplify]: Simplify (+ 0 1) into 1 3.063 * [backup-simplify]: Simplify (log 1) into 0 3.063 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.063 * [backup-simplify]: Simplify (+ 1 0) into 1 3.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.065 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.065 * [backup-simplify]: Simplify (exp 0) into 1 3.065 * [backup-simplify]: Simplify 1 into 1 3.066 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.067 * [backup-simplify]: Simplify 1/3 into 1/3 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.071 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 3.072 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 3.072 * [backup-simplify]: Simplify -1/9 into -1/9 3.073 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 3.073 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 3.073 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 3.073 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 3.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 3.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 3.073 * [taylor]: Taking taylor expansion of 1/3 in N 3.073 * [backup-simplify]: Simplify 1/3 into 1/3 3.073 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 3.073 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.073 * [taylor]: Taking taylor expansion of N in N 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.073 * [backup-simplify]: Simplify (/ 1 1) into 1 3.073 * [taylor]: Taking taylor expansion of 1 in N 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (+ 1 0) into 1 3.074 * [backup-simplify]: Simplify (log 1) into 0 3.075 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.075 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.075 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.075 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 3.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 3.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 3.075 * [taylor]: Taking taylor expansion of 1/3 in N 3.075 * [backup-simplify]: Simplify 1/3 into 1/3 3.075 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 3.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.075 * [taylor]: Taking taylor expansion of N in N 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [taylor]: Taking taylor expansion of 1 in N 3.076 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (+ 1 0) into 1 3.077 * [backup-simplify]: Simplify (log 1) into 0 3.077 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.077 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.077 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.077 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify (+ 0 1) into 1 3.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.080 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.081 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 3.082 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 3.082 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ 0 0) into 0 3.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.087 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.088 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.089 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 3.089 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 3.090 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) 3.090 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 3.090 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 3.090 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.090 * [taylor]: Taking taylor expansion of 1/3 in N 3.090 * [backup-simplify]: Simplify 1/3 into 1/3 3.090 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.090 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.090 * [taylor]: Taking taylor expansion of 1 in N 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.090 * [taylor]: Taking taylor expansion of N in N 3.090 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (/ 1 1) into 1 3.092 * [backup-simplify]: Simplify (- 1) into -1 3.092 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.092 * [backup-simplify]: Simplify (log -1) into (log -1) 3.093 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.094 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.094 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.094 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.094 * [taylor]: Taking taylor expansion of 1/3 in N 3.094 * [backup-simplify]: Simplify 1/3 into 1/3 3.094 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.094 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.094 * [taylor]: Taking taylor expansion of 1 in N 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.094 * [taylor]: Taking taylor expansion of N in N 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [backup-simplify]: Simplify (- 1) into -1 3.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.096 * [backup-simplify]: Simplify (log -1) into (log -1) 3.097 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.097 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.098 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.098 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify (- 0) into 0 3.100 * [backup-simplify]: Simplify (+ 1 0) into 1 3.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.102 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.103 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 3.104 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.105 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (- 0) into 0 3.106 * [backup-simplify]: Simplify (+ 0 0) into 0 3.108 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.108 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.109 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 3.110 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.111 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.112 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 3.112 * * * [progress]: simplifying candidates 3.112 * * * * [progress]: [ 1 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 2 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 3 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 4 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 5 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 6 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 7 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 8 / 65 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))))> 3.112 * * * * [progress]: [ 9 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 10 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 11 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 12 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 13 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 14 / 65 ] simplifiying candidate # 3.112 * * * * [progress]: [ 15 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 16 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 17 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 18 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 19 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 20 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 21 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 22 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 23 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))) N)))))> 3.113 * * * * [progress]: [ 24 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 25 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 26 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 27 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 28 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 29 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 30 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 31 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 32 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 33 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 34 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 35 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 36 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 37 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 38 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1))))) (* (cbrt (+ N 1)) N)))))> 3.113 * * * * [progress]: [ 39 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 40 / 65 ] simplifiying candidate # 3.113 * * * * [progress]: [ 41 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 42 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 43 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 44 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 45 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 46 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 47 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 48 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 49 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 50 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 51 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 52 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 53 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))> 3.114 * * * * [progress]: [ 54 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 55 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 56 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 57 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 58 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 59 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 60 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 61 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 62 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 63 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 64 / 65 ] simplifiying candidate # 3.114 * * * * [progress]: [ 65 / 65 ] simplifiying candidate # 3.115 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (exp (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (* (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (* (* (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (log (cbrt (+ N 1))) (exp (cbrt (+ N 1))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt 1) (cbrt (+ N 1)) (cbrt 1) (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- (* N N) (* 1 1))) (cbrt (- N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (real->posit16 (cbrt (+ N 1))) (log (cbrt (+ N 1))) (exp (cbrt (+ N 1))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt 1) (cbrt (+ N 1)) (cbrt 1) (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- (* N N) (* 1 1))) (cbrt (- N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (real->posit16 (cbrt (+ N 1))) (log (cbrt (+ N 1))) (exp (cbrt (+ N 1))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt 1) (cbrt (+ N 1)) (cbrt 1) (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- (* N N) (* 1 1))) (cbrt (- N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (real->posit16 (cbrt (+ N 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 3.116 * * [simplify]: iteration 0: 80 enodes 3.137 * * [simplify]: iteration 1: 167 enodes 3.189 * * [simplify]: iteration 2: 346 enodes 3.329 * * [simplify]: iteration 3: 747 enodes 3.523 * * [simplify]: iteration 4: 2000 enodes 4.336 * * [simplify]: iteration complete: 2000 enodes 4.336 * * [simplify]: Extracting #0: cost 26 inf + 0 4.337 * * [simplify]: Extracting #1: cost 63 inf + 1 4.338 * * [simplify]: Extracting #2: cost 353 inf + 45 4.343 * * [simplify]: Extracting #3: cost 487 inf + 7176 4.355 * * [simplify]: Extracting #4: cost 395 inf + 39331 4.373 * * [simplify]: Extracting #5: cost 197 inf + 109629 4.393 * * [simplify]: Extracting #6: cost 103 inf + 139165 4.417 * * [simplify]: Extracting #7: cost 72 inf + 150695 4.453 * * [simplify]: Extracting #8: cost 11 inf + 175750 4.485 * * [simplify]: Extracting #9: cost 0 inf + 180806 4.504 * [simplify]: Simplified to: (log (atan2 1 (+ 1 (* N (+ 1 N))))) (exp (atan2 1 (+ 1 (* N (+ 1 N))))) (* (cbrt (atan2 1 (+ 1 (* N (+ 1 N))))) (cbrt (atan2 1 (+ 1 (* N (+ 1 N)))))) (cbrt (atan2 1 (+ 1 (* N (+ 1 N))))) (* (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N))))) (atan2 1 (+ 1 (* N (+ 1 N))))) (sqrt (atan2 1 (+ 1 (* N (+ 1 N))))) (sqrt (atan2 1 (+ 1 (* N (+ 1 N))))) (real->posit16 (atan2 1 (+ 1 (* N (+ 1 N))))) (log (cbrt (+ 1 N))) (exp (cbrt (+ 1 N))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) 1 (cbrt (+ 1 N)) 1 (cbrt (+ 1 N)) (cbrt (+ (* N (* N N)) 1)) (cbrt (+ (- 1 N) (* N N))) (cbrt (- (* N N) 1)) (cbrt (- N 1)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (+ 1 N) (sqrt (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (real->posit16 (cbrt (+ 1 N))) (log (cbrt (+ 1 N))) (exp (cbrt (+ 1 N))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) 1 (cbrt (+ 1 N)) 1 (cbrt (+ 1 N)) (cbrt (+ (* N (* N N)) 1)) (cbrt (+ (- 1 N) (* N N))) (cbrt (- (* N N) 1)) (cbrt (- N 1)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (+ 1 N) (sqrt (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (real->posit16 (cbrt (+ 1 N))) (log (cbrt (+ 1 N))) (exp (cbrt (+ 1 N))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) 1 (cbrt (+ 1 N)) 1 (cbrt (+ 1 N)) (cbrt (+ (* N (* N N)) 1)) (cbrt (+ (- 1 N) (* N N))) (cbrt (- (* N N) 1)) (cbrt (- N 1)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (+ 1 N) (sqrt (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (real->posit16 (cbrt (+ 1 N))) (atan2 1 (+ N (+ (* N N) 1))) (atan2 1 (+ N (+ (* N N) 1))) (atan2 1 (+ N (+ (* N N) 1))) (+ (* N (- 1/3 (* 1/9 N))) 1) (+ (+ (* (cbrt (/ 1 (* N N))) 1/3) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) -1/9)) (+ (* (/ -1/9 N) (/ (exp (* 1/3 (log N))) N)) (+ (* (/ (exp (* 1/3 (log N))) N) 1/3) (exp (* 1/3 (log N))))) (+ (* N (- 1/3 (* 1/9 N))) 1) (+ (+ (* (cbrt (/ 1 (* N N))) 1/3) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) -1/9)) (+ (* (/ -1/9 N) (/ (exp (* 1/3 (log N))) N)) (+ (* (/ (exp (* 1/3 (log N))) N) 1/3) (exp (* 1/3 (log N))))) (+ (* N (- 1/3 (* 1/9 N))) 1) (+ (+ (* (cbrt (/ 1 (* N N))) 1/3) (pow (/ 1 N) -1/3)) (* (cbrt (/ 1 (pow N 5))) -1/9)) (+ (* (/ -1/9 N) (/ (exp (* 1/3 (log N))) N)) (+ (* (/ (exp (* 1/3 (log N))) N) 1/3) (exp (* 1/3 (log N))))) 4.509 * * * [progress]: adding candidates to table 4.830 * * [progress]: iteration 4 / 4 4.830 * * * [progress]: picking best candidate 4.854 * * * * [pick]: Picked # 4.854 * * * [progress]: localizing error 4.901 * * * [progress]: generating rewritten candidates 4.901 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 4.911 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.911 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2) 4.916 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 4.922 * * * [progress]: generating series expansions 4.922 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 4.922 * [backup-simplify]: Simplify (cbrt (- (* N N) 1)) into (pow (- (pow N 2) 1) 1/3) 4.922 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1) 1/3) in (N) around 0 4.922 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1) 1/3) in N 4.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1)))) in N 4.923 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1))) in N 4.923 * [taylor]: Taking taylor expansion of 1/3 in N 4.923 * [backup-simplify]: Simplify 1/3 into 1/3 4.923 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1)) in N 4.923 * [taylor]: Taking taylor expansion of (- (pow N 2) 1) in N 4.923 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.923 * [taylor]: Taking taylor expansion of N in N 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 1 into 1 4.923 * [taylor]: Taking taylor expansion of 1 in N 4.923 * [backup-simplify]: Simplify 1 into 1 4.924 * [backup-simplify]: Simplify (- 1) into -1 4.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.925 * [backup-simplify]: Simplify (log -1) into (log -1) 4.925 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 4.927 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 4.927 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1) 1/3) in N 4.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1)))) in N 4.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1))) in N 4.927 * [taylor]: Taking taylor expansion of 1/3 in N 4.927 * [backup-simplify]: Simplify 1/3 into 1/3 4.927 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1)) in N 4.927 * [taylor]: Taking taylor expansion of (- (pow N 2) 1) in N 4.927 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.927 * [taylor]: Taking taylor expansion of N in N 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 1 into 1 4.927 * [taylor]: Taking taylor expansion of 1 in N 4.927 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (- 1) into -1 4.928 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.929 * [backup-simplify]: Simplify (log -1) into (log -1) 4.930 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 4.931 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 4.932 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 4.932 * [backup-simplify]: Simplify (- 0) into 0 4.933 * [backup-simplify]: Simplify (+ 0 0) into 0 4.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.935 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 4.937 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify (* 1 1) into 1 4.938 * [backup-simplify]: Simplify (- 0) into 0 4.938 * [backup-simplify]: Simplify (+ 1 0) into 1 4.941 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1 4.942 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (log -1)))) into -1/3 4.949 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 4.950 * [backup-simplify]: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) 4.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.952 * [backup-simplify]: Simplify (- 0) into 0 4.952 * [backup-simplify]: Simplify (+ 0 0) into 0 4.958 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 4.959 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (log -1))))) into 0 4.963 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.963 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.965 * [backup-simplify]: Simplify (- 0) into 0 4.965 * [backup-simplify]: Simplify (+ 0 0) into 0 4.973 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 1) 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 -1/2 4.974 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (log -1)))))) into -1/6 4.981 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 4.982 * [backup-simplify]: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) 4.984 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow N 4)) (+ (* (* -1/3 (pow -1 1/3)) (pow N 2)) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/3 (* (pow N 2) (pow -1 1/3))) (* 1/9 (* (pow N 4) (pow -1 1/3))))) 4.984 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 N) (/ 1 N)) 1)) into (pow (- (/ 1 (pow N 2)) 1) 1/3) 4.984 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in (N) around 0 4.984 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in N 4.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1)))) in N 4.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1))) 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 (pow N 2)) 1)) in N 4.984 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1) in N 4.984 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.984 * [taylor]: Taking taylor expansion of (pow N 2) 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 (/ 1 1) into 1 4.985 * [taylor]: Taking taylor expansion of 1 in N 4.985 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (+ 1 0) into 1 4.985 * [backup-simplify]: Simplify (log 1) into 0 4.986 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.986 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.986 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.986 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in N 4.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1)))) in N 4.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1))) 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 (pow N 2)) 1)) in N 4.986 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1) in N 4.986 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.986 * [taylor]: Taking taylor expansion of (pow N 2) 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 4.986 * [backup-simplify]: Simplify (* 1 1) into 1 4.987 * [backup-simplify]: Simplify (/ 1 1) into 1 4.987 * [taylor]: Taking taylor expansion of 1 in N 4.987 * [backup-simplify]: Simplify 1 into 1 4.987 * [backup-simplify]: Simplify (+ 1 0) into 1 4.987 * [backup-simplify]: Simplify (log 1) into 0 4.987 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.987 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.987 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.988 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify (+ 0 0) into 0 4.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.990 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.990 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.991 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- 1) into -1 4.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1 4.994 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.995 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 1/3) 4.996 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 4.996 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (- 0) into 0 4.998 * [backup-simplify]: Simplify (+ 0 0) into 0 5.000 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.001 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 5.003 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.003 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.005 * [backup-simplify]: Simplify (- 0) into 0 5.005 * [backup-simplify]: Simplify (+ 0 0) into 0 5.015 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1) 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 -1/2 5.016 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.018 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6) 5.022 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.023 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.023 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 4)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (pow (/ 1 N) -2/3))) into (- (pow (/ 1 N) -2/3) (+ (* 1/9 (pow (/ 1 (pow N 10)) 1/3)) (* 1/3 (pow (/ 1 (pow N 4)) 1/3)))) 5.024 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) 1)) into (pow (- (/ 1 (pow N 2)) 1) 1/3) 5.024 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in (N) around 0 5.024 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in N 5.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1)))) in N 5.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1))) in N 5.024 * [taylor]: Taking taylor expansion of 1/3 in N 5.024 * [backup-simplify]: Simplify 1/3 into 1/3 5.024 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1)) in N 5.024 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1) in N 5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.024 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.024 * [taylor]: Taking taylor expansion of N in N 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 1 into 1 5.024 * [backup-simplify]: Simplify (* 1 1) into 1 5.025 * [backup-simplify]: Simplify (/ 1 1) into 1 5.025 * [taylor]: Taking taylor expansion of 1 in N 5.025 * [backup-simplify]: Simplify 1 into 1 5.025 * [backup-simplify]: Simplify (+ 1 0) into 1 5.026 * [backup-simplify]: Simplify (log 1) into 0 5.026 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.026 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.026 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.026 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in N 5.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1)))) in N 5.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1))) in N 5.027 * [taylor]: Taking taylor expansion of 1/3 in N 5.027 * [backup-simplify]: Simplify 1/3 into 1/3 5.027 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1)) in N 5.027 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1) in N 5.027 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.027 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.027 * [taylor]: Taking taylor expansion of N in N 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 1 into 1 5.027 * [backup-simplify]: Simplify (* 1 1) into 1 5.027 * [backup-simplify]: Simplify (/ 1 1) into 1 5.027 * [taylor]: Taking taylor expansion of 1 in N 5.028 * [backup-simplify]: Simplify 1 into 1 5.028 * [backup-simplify]: Simplify (+ 1 0) into 1 5.028 * [backup-simplify]: Simplify (log 1) into 0 5.029 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.029 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.029 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.029 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.031 * [backup-simplify]: Simplify (+ 0 0) into 0 5.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.032 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.033 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 5.034 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 5.034 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.036 * [backup-simplify]: Simplify (- 1) into -1 5.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.039 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1 5.039 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.040 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.041 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.042 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 5.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (- 0) into 0 5.044 * [backup-simplify]: Simplify (+ 0 0) into 0 5.049 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.049 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 5.052 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.056 * [backup-simplify]: Simplify (- 0) into 0 5.056 * [backup-simplify]: Simplify (+ 0 0) into 0 5.066 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1) 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 -1/2 5.067 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.069 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6) 5.075 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.075 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.076 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 4)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (pow (/ 1 (- N)) -2/3))) into (- (pow (/ -1 N) -2/3) (+ (* 1/9 (pow (/ 1 (pow N 10)) 1/3)) (* 1/3 (pow (/ 1 (pow N 4)) 1/3)))) 5.076 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.076 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))) into (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) 5.076 * [approximate]: Taking taylor expansion of (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) in (N) around 0 5.076 * [taylor]: Taking taylor expansion of (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) in N 5.077 * [backup-simplify]: Simplify (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) into (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) 5.077 * [taylor]: Taking taylor expansion of (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) in N 5.077 * [backup-simplify]: Simplify (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) into (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) 5.078 * [backup-simplify]: Simplify (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) into (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) into (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) 5.079 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (/ (cbrt (- (* (/ 1 N) (/ 1 N)) 1)) (cbrt (- (/ 1 N) 1))) (/ 1 N))))) into (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) 5.079 * [approximate]: Taking taylor expansion of (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) in (N) around 0 5.079 * [taylor]: Taking taylor expansion of (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) in N 5.080 * [backup-simplify]: Simplify (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) into (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) 5.080 * [taylor]: Taking taylor expansion of (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) in N 5.080 * [backup-simplify]: Simplify (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) into (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) 5.081 * [backup-simplify]: Simplify (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) into (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (+ (/ 1 N) 1) 2)) (- (/ 1 N) 1)) 1/3) (/ 1 N)) 1)) 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify (atan2 1 (+ (* (pow (/ (* (- (/ 1 (pow (/ 1 N) 2)) 1) (pow (+ (/ 1 (/ 1 N)) 1) 2)) (- (/ 1 (/ 1 N)) 1)) 1/3) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) 5.083 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (/ (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) 1)) (cbrt (- (/ 1 (- N)) 1))) (/ 1 (- N)))))) into (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) 5.083 * [approximate]: Taking taylor expansion of (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) in (N) around 0 5.083 * [taylor]: Taking taylor expansion of (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) in N 5.085 * [backup-simplify]: Simplify (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) into (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) 5.085 * [taylor]: Taking taylor expansion of (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) in N 5.086 * [backup-simplify]: Simplify (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) into (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) 5.087 * [backup-simplify]: Simplify (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) into (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow N 2)) 1) (pow (- 1 (/ 1 N)) 2)) (+ (/ 1 N) 1)) 1/3) (/ 1 (* N (cbrt -1)))))) 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify (atan2 1 (- 1 (* (pow (/ (* (- (/ 1 (pow (/ 1 (- N)) 2)) 1) (pow (- 1 (/ 1 (/ 1 (- N)))) 2)) (+ (/ 1 (/ 1 (- N))) 1)) 1/3) (/ 1 (* (/ 1 (- N)) (cbrt -1)))))) into (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- 1 N)) 1/3) (/ N (cbrt -1))) 1)) 5.089 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2) 5.089 * [backup-simplify]: Simplify (cbrt (- N 1)) into (pow (- N 1) 1/3) 5.089 * [approximate]: Taking taylor expansion of (pow (- N 1) 1/3) in (N) around 0 5.089 * [taylor]: Taking taylor expansion of (pow (- N 1) 1/3) in N 5.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1)))) in N 5.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1))) in N 5.089 * [taylor]: Taking taylor expansion of 1/3 in N 5.089 * [backup-simplify]: Simplify 1/3 into 1/3 5.089 * [taylor]: Taking taylor expansion of (log (- N 1)) in N 5.089 * [taylor]: Taking taylor expansion of (- N 1) in N 5.089 * [taylor]: Taking taylor expansion of N in N 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [taylor]: Taking taylor expansion of 1 in N 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (- 1) into -1 5.090 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.090 * [backup-simplify]: Simplify (log -1) into (log -1) 5.091 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.093 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.093 * [taylor]: Taking taylor expansion of (pow (- N 1) 1/3) in N 5.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1)))) in N 5.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1))) in N 5.093 * [taylor]: Taking taylor expansion of 1/3 in N 5.093 * [backup-simplify]: Simplify 1/3 into 1/3 5.093 * [taylor]: Taking taylor expansion of (log (- N 1)) in N 5.093 * [taylor]: Taking taylor expansion of (- N 1) in N 5.093 * [taylor]: Taking taylor expansion of N in N 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 1 into 1 5.093 * [taylor]: Taking taylor expansion of 1 in N 5.093 * [backup-simplify]: Simplify 1 into 1 5.093 * [backup-simplify]: Simplify (- 1) into -1 5.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.094 * [backup-simplify]: Simplify (log -1) into (log -1) 5.095 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.097 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.097 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 5.098 * [backup-simplify]: Simplify (- 0) into 0 5.098 * [backup-simplify]: Simplify (+ 1 0) into 1 5.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.099 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 5.101 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 5.102 * [backup-simplify]: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) 5.102 * [backup-simplify]: Simplify (- 0) into 0 5.102 * [backup-simplify]: Simplify (+ 0 0) into 0 5.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.105 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 5.108 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) 5.108 * [backup-simplify]: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) 5.110 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow N 2)) (+ (* (* -1/3 (pow -1 1/3)) N) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/9 (* (pow N 2) (pow -1 1/3))) (* 1/3 (* N (pow -1 1/3))))) 5.110 * [backup-simplify]: Simplify (cbrt (- (/ 1 N) 1)) into (pow (- (/ 1 N) 1) 1/3) 5.110 * [approximate]: Taking taylor expansion of (pow (- (/ 1 N) 1) 1/3) in (N) around 0 5.110 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1) 1/3) in N 5.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1)))) in N 5.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1))) in N 5.110 * [taylor]: Taking taylor expansion of 1/3 in N 5.110 * [backup-simplify]: Simplify 1/3 into 1/3 5.110 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1)) in N 5.110 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1) in N 5.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.110 * [taylor]: Taking taylor expansion of N in N 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (/ 1 1) into 1 5.110 * [taylor]: Taking taylor expansion of 1 in N 5.111 * [backup-simplify]: Simplify 1 into 1 5.111 * [backup-simplify]: Simplify (+ 1 0) into 1 5.111 * [backup-simplify]: Simplify (log 1) into 0 5.111 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.111 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.111 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.111 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1) 1/3) in N 5.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1)))) in N 5.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1))) in N 5.111 * [taylor]: Taking taylor expansion of 1/3 in N 5.112 * [backup-simplify]: Simplify 1/3 into 1/3 5.112 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1)) in N 5.112 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1) in N 5.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.112 * [taylor]: Taking taylor expansion of N in N 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (/ 1 1) into 1 5.112 * [taylor]: Taking taylor expansion of 1 in N 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (+ 1 0) into 1 5.112 * [backup-simplify]: Simplify (log 1) into 0 5.113 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.113 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.113 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.113 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (- 1) into -1 5.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.115 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.115 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log N)))) into (- 1/3) 5.116 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 N) 1/3)) 5.116 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 N) 1/3)) into (* -1/3 (pow (/ 1 N) 1/3)) 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.117 * [backup-simplify]: Simplify (- 0) into 0 5.117 * [backup-simplify]: Simplify (+ 0 0) into 0 5.119 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.119 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.119 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log N))))) into (- 1/6) 5.120 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 5.121 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 5.121 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (pow (/ 1 N) -1/3) (+ (* 1/9 (pow (/ 1 (pow N 5)) 1/3)) (* 1/3 (pow (/ 1 (pow N 2)) 1/3)))) 5.121 * [backup-simplify]: Simplify (cbrt (- (/ 1 (- N)) 1)) into (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) 5.121 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) in (N) around 0 5.121 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) in N 5.121 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.121 * [taylor]: Taking taylor expansion of -1 in N 5.121 * [backup-simplify]: Simplify -1 into -1 5.121 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.122 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.122 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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) 1)) in N 5.122 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) 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 5.122 * [taylor]: Taking taylor expansion of 1 in N 5.122 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (+ 1 0) 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 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) in N 5.123 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.123 * [taylor]: Taking taylor expansion of -1 in N 5.123 * [backup-simplify]: Simplify -1 into -1 5.124 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.124 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.124 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.124 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.124 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.124 * [taylor]: Taking taylor expansion of 1/3 in N 5.124 * [backup-simplify]: Simplify 1/3 into 1/3 5.124 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.124 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.124 * [taylor]: Taking taylor expansion of N in N 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (/ 1 1) into 1 5.125 * [taylor]: Taking taylor expansion of 1 in N 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (+ 1 0) into 1 5.125 * [backup-simplify]: Simplify (log 1) into 0 5.125 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.125 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.126 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.126 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.126 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 5.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (+ 0 1) into 1 5.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.128 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.128 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.134 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.135 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/3 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3))) into (* 1/3 (* (pow (/ 1 N) 1/3) (cbrt -1))) 5.135 * [backup-simplify]: Simplify (* 1/3 (* (pow (/ 1 N) 1/3) (cbrt -1))) into (* 1/3 (* (pow (/ 1 N) 1/3) (cbrt -1))) 5.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.140 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.141 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.143 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 5.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.145 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -1/9 (pow (/ 1 N) 1/3))) (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3)))) into (- (* 1/9 (* (pow (/ 1 N) 1/3) (cbrt -1)))) 5.146 * [backup-simplify]: Simplify (- (* 1/9 (* (pow (/ 1 N) 1/3) (cbrt -1)))) into (- (* 1/9 (* (pow (/ 1 N) 1/3) (cbrt -1)))) 5.149 * [backup-simplify]: Simplify (+ (* (- (* 1/9 (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/3 (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (/ 1 (- N))) 1/3) (cbrt -1)))) into (- (* (pow (* N -1) 1/3) (cbrt -1)) (+ (* 1/9 (* (pow (/ -1 (pow N 5)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ -1 (pow N 2)) 1/3) (cbrt -1))))) 5.149 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 5.149 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 5.149 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 5.149 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.149 * [taylor]: Taking taylor expansion of 1/3 in N 5.149 * [backup-simplify]: Simplify 1/3 into 1/3 5.149 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.149 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.149 * [taylor]: Taking taylor expansion of N in N 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 1 into 1 5.149 * [taylor]: Taking taylor expansion of 1 in N 5.149 * [backup-simplify]: Simplify 1 into 1 5.150 * [backup-simplify]: Simplify (+ 0 1) into 1 5.150 * [backup-simplify]: Simplify (log 1) into 0 5.150 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.150 * [backup-simplify]: Simplify (+ 1 0) into 1 5.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.152 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.152 * [backup-simplify]: Simplify (exp 0) into 1 5.152 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.152 * [taylor]: Taking taylor expansion of 1/3 in N 5.152 * [backup-simplify]: Simplify 1/3 into 1/3 5.152 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.152 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.152 * [taylor]: Taking taylor expansion of N in N 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [taylor]: Taking taylor expansion of 1 in N 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [backup-simplify]: Simplify (+ 0 1) into 1 5.152 * [backup-simplify]: Simplify (log 1) into 0 5.153 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.153 * [backup-simplify]: Simplify (+ 1 0) into 1 5.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.154 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.154 * [backup-simplify]: Simplify (exp 0) into 1 5.154 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.155 * [backup-simplify]: Simplify 1/3 into 1/3 5.155 * [backup-simplify]: Simplify (+ 0 0) into 0 5.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.157 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 5.158 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 5.158 * [backup-simplify]: Simplify -1/9 into -1/9 5.158 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 5.158 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 5.158 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 5.159 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.159 * [taylor]: Taking taylor expansion of 1/3 in N 5.159 * [backup-simplify]: Simplify 1/3 into 1/3 5.159 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.159 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.159 * [taylor]: Taking taylor expansion of N in N 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [taylor]: Taking taylor expansion of 1 in N 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (+ 1 0) into 1 5.159 * [backup-simplify]: Simplify (log 1) into 0 5.160 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.160 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.160 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.160 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.160 * [taylor]: Taking taylor expansion of 1/3 in N 5.160 * [backup-simplify]: Simplify 1/3 into 1/3 5.160 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.160 * [taylor]: Taking taylor expansion of N in N 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.160 * [taylor]: Taking taylor expansion of 1 in N 5.160 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (+ 1 0) into 1 5.161 * [backup-simplify]: Simplify (log 1) into 0 5.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.161 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.161 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.161 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (+ 0 1) into 1 5.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.163 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.163 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.164 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.164 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 5.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (+ 0 0) into 0 5.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.167 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.167 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.169 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 5.169 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 5.169 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) 5.169 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 5.169 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 5.169 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.169 * [taylor]: Taking taylor expansion of 1/3 in N 5.169 * [backup-simplify]: Simplify 1/3 into 1/3 5.169 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.169 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.169 * [taylor]: Taking taylor expansion of 1 in N 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.169 * [taylor]: Taking taylor expansion of N in N 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (/ 1 1) into 1 5.170 * [backup-simplify]: Simplify (- 1) into -1 5.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.170 * [backup-simplify]: Simplify (log -1) into (log -1) 5.171 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.171 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.171 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.172 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.172 * [taylor]: Taking taylor expansion of 1/3 in N 5.172 * [backup-simplify]: Simplify 1/3 into 1/3 5.172 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.172 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.172 * [taylor]: Taking taylor expansion of 1 in N 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.172 * [taylor]: Taking taylor expansion of N in N 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [backup-simplify]: Simplify (/ 1 1) into 1 5.172 * [backup-simplify]: Simplify (- 1) into -1 5.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.173 * [backup-simplify]: Simplify (log -1) into (log -1) 5.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.173 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.174 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.174 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.175 * [backup-simplify]: Simplify (- 0) into 0 5.175 * [backup-simplify]: Simplify (+ 1 0) into 1 5.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.176 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.177 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 5.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 5.178 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 5.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.179 * [backup-simplify]: Simplify (- 0) into 0 5.179 * [backup-simplify]: Simplify (+ 0 0) into 0 5.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.182 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 5.184 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 5.185 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 5.186 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 5.187 * * * [progress]: simplifying candidates 5.187 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 5.187 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 16 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 17 / 70 ] simplifiying candidate #real (real->posit16 (cbrt (- (* N N) 1)))) (cbrt (- N 1))) N)))))> 5.188 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 25 / 70 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))))))> 5.188 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 5.188 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 32 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 5.189 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 43 / 70 ] simplifiying candidate #real (real->posit16 (cbrt (- N 1))))) N)))))> 5.190 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 48 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 5.190 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1))))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))))> 5.191 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 5.191 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 5.193 * [simplify]: Simplifying: (log (cbrt (- (* N N) 1))) (exp (cbrt (- (* N N) 1))) (cbrt (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1)))) (cbrt (cbrt (- (* N N) 1))) (cbrt (sqrt (- (* N N) 1))) (cbrt (sqrt (- (* N N) 1))) (cbrt 1) (cbrt (- (* N N) 1)) (cbrt (+ N (sqrt 1))) (cbrt (- N (sqrt 1))) (cbrt (+ N 1)) (cbrt (- N 1)) (cbrt (+ N 1)) (cbrt (- N 1)) (cbrt (- (pow (* N N) 3) (pow 1 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* 1 1) (* (* N N) 1)))) (cbrt (- (* (* N N) (* N N)) (* 1 1))) (cbrt (+ (* N N) 1)) (* (cbrt (cbrt (- (* N N) 1))) (cbrt (cbrt (- (* N N) 1)))) (cbrt (cbrt (- (* N N) 1))) (* (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1))) (cbrt (- (* N N) 1))) (sqrt (cbrt (- (* N N) 1))) (sqrt (cbrt (- (* N N) 1))) (real->posit16 (cbrt (- (* N N) 1))) (log (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N))))) (exp (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N))))) (* (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N))))) (* (* (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N))))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N))))) (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N))))) (log (cbrt (- N 1))) (exp (cbrt (- N 1))) (cbrt (* (cbrt (- N 1)) (cbrt (- N 1)))) (cbrt (cbrt (- N 1))) (cbrt (sqrt (- N 1))) (cbrt (sqrt (- N 1))) (cbrt 1) (cbrt (- N 1)) (cbrt (+ (sqrt N) (sqrt 1))) (cbrt (- (sqrt N) (sqrt 1))) (cbrt (+ (sqrt N) 1)) (cbrt (- (sqrt N) 1)) (cbrt (+ (sqrt N) 1)) (cbrt (- (sqrt N) 1)) (cbrt 1) (cbrt (- N 1)) (cbrt (- (pow N 3) (pow 1 3))) (cbrt (+ (* N N) (+ (* 1 1) (* N 1)))) (cbrt (- (* N N) (* 1 1))) (cbrt (+ N 1)) (* (cbrt (cbrt (- N 1))) (cbrt (cbrt (- N 1)))) (cbrt (cbrt (- N 1))) (* (* (cbrt (- N 1)) (cbrt (- N 1))) (cbrt (- N 1))) (sqrt (cbrt (- N 1))) (sqrt (cbrt (- N 1))) (real->posit16 (cbrt (- N 1))) (log (cbrt (+ N 1))) (exp (cbrt (+ N 1))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1))) (cbrt 1) (cbrt (+ N 1)) (cbrt 1) (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- (* N N) (* 1 1))) (cbrt (- N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (cbrt (cbrt (+ N 1))) (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (real->posit16 (cbrt (+ N 1))) (- (pow -1 1/3) (+ (* 1/3 (* (pow N 2) (pow -1 1/3))) (* 1/9 (* (pow N 4) (pow -1 1/3))))) (- (pow (/ 1 N) -2/3) (+ (* 1/9 (pow (/ 1 (pow N 10)) 1/3)) (* 1/3 (pow (/ 1 (pow N 4)) 1/3)))) (- (pow (/ -1 N) -2/3) (+ (* 1/9 (pow (/ 1 (pow N 10)) 1/3)) (* 1/3 (pow (/ 1 (pow N 4)) 1/3)))) (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- 1 N)) 1/3) (/ N (cbrt -1))) 1)) (- (pow -1 1/3) (+ (* 1/9 (* (pow N 2) (pow -1 1/3))) (* 1/3 (* N (pow -1 1/3))))) (- (pow (/ 1 N) -1/3) (+ (* 1/9 (pow (/ 1 (pow N 5)) 1/3)) (* 1/3 (pow (/ 1 (pow N 2)) 1/3)))) (- (* (pow (* N -1) 1/3) (cbrt -1)) (+ (* 1/9 (* (pow (/ -1 (pow N 5)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ -1 (pow N 2)) 1/3) (cbrt -1))))) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 5.196 * * [simplify]: iteration 0: 192 enodes 5.268 * * [simplify]: iteration 1: 434 enodes 5.471 * * [simplify]: iteration 2: 1172 enodes 5.737 * * [simplify]: iteration 3: 2001 enodes 6.139 * * [simplify]: iteration complete: 2001 enodes 6.139 * * [simplify]: Extracting #0: cost 59 inf + 0 6.139 * * [simplify]: Extracting #1: cost 147 inf + 1 6.140 * * [simplify]: Extracting #2: cost 336 inf + 781 6.143 * * [simplify]: Extracting #3: cost 503 inf + 11170 6.149 * * [simplify]: Extracting #4: cost 377 inf + 39219 6.167 * * [simplify]: Extracting #5: cost 359 inf + 73226 6.202 * * [simplify]: Extracting #6: cost 273 inf + 112854 6.237 * * [simplify]: Extracting #7: cost 122 inf + 158368 6.281 * * [simplify]: Extracting #8: cost 18 inf + 199455 6.307 * * [simplify]: Extracting #9: cost 0 inf + 206387 6.337 * [simplify]: Simplified to: (log (cbrt (- (* N N) 1))) (exp (cbrt (- (* N N) 1))) (cbrt (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1)))) (cbrt (cbrt (- (* N N) 1))) (cbrt (sqrt (- (* N N) 1))) (cbrt (sqrt (- (* N N) 1))) 1 (cbrt (- (* N N) 1)) (cbrt (+ 1 N)) (cbrt (+ N -1)) (cbrt (+ 1 N)) (cbrt (+ N -1)) (cbrt (+ 1 N)) (cbrt (+ N -1)) (cbrt (+ (* (* (* N N) (* N N)) (* N N)) -1)) (cbrt (+ (* (* N N) (* N N)) (+ 1 (* N N)))) (cbrt (+ (* (* N N) (* N N)) -1)) (cbrt (+ 1 (* N N))) (* (cbrt (cbrt (- (* N N) 1))) (cbrt (cbrt (- (* N N) 1)))) (cbrt (cbrt (- (* N N) 1))) (- (* N N) 1) (sqrt (cbrt (- (* N N) 1))) (sqrt (cbrt (- (* N N) 1))) (real->posit16 (cbrt (- (* N N) 1))) (log (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1))) (exp (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1))) (* (cbrt (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1))) (cbrt (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1)))) (cbrt (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1))) (* (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1)) (* (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1)) (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1)))) (sqrt (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1))) (sqrt (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1))) (real->posit16 (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (/ (cbrt (- (* N N) 1)) (cbrt (+ N -1)))) 1))) (log (cbrt (+ N -1))) (exp (cbrt (+ N -1))) (cbrt (* (cbrt (+ N -1)) (cbrt (+ N -1)))) (cbrt (cbrt (+ N -1))) (cbrt (sqrt (+ N -1))) (cbrt (sqrt (+ N -1))) 1 (cbrt (+ N -1)) (cbrt (+ (sqrt N) 1)) (cbrt (- (sqrt N) 1)) (cbrt (+ (sqrt N) 1)) (cbrt (- (sqrt N) 1)) (cbrt (+ (sqrt N) 1)) (cbrt (- (sqrt N) 1)) 1 (cbrt (+ N -1)) (cbrt (+ -1 (* (* N N) N))) (cbrt (+ (* N N) (+ 1 N))) (cbrt (- (* N N) 1)) (cbrt (+ 1 N)) (* (cbrt (cbrt (+ N -1))) (cbrt (cbrt (+ N -1)))) (cbrt (cbrt (+ N -1))) (+ N -1) (sqrt (cbrt (+ N -1))) (sqrt (cbrt (+ N -1))) (real->posit16 (cbrt (+ N -1))) (log (cbrt (+ 1 N))) (exp (cbrt (+ 1 N))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))) 1 (cbrt (+ 1 N)) 1 (cbrt (+ 1 N)) (cbrt (+ 1 (* (* N N) N))) (cbrt (+ (- 1 N) (* N N))) (cbrt (- (* N N) 1)) (cbrt (+ N -1)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))) (+ 1 N) (sqrt (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (real->posit16 (cbrt (+ 1 N))) (- (cbrt -1) (* (cbrt -1) (+ (* (* (* N N) (* N N)) 1/9) (* 1/3 (* N N))))) (- (- (pow (/ 1 N) -2/3) (* (cbrt (/ 1 (* (* N N) (* N N)))) 1/3)) (* 1/9 (cbrt (/ 1 (pow N 10))))) (- (- (pow (/ -1 N) -2/3) (* (cbrt (/ 1 (* (* N N) (* N N)))) 1/3)) (* 1/9 (cbrt (/ 1 (pow N 10))))) (atan2 1 (+ (* N (cbrt (* (/ (- (* N N) 1) (+ N -1)) (* (+ 1 N) (+ 1 N))))) 1)) (atan2 1 (+ (* N (cbrt (* (/ (- (* N N) 1) (+ N -1)) (* (+ 1 N) (+ 1 N))))) 1)) (atan2 1 (+ (/ (cbrt (/ (* (- (* N N) 1) (* (+ 1 N) (+ 1 N))) (- 1 N))) (/ (cbrt -1) N)) 1)) (- (cbrt -1) (* (cbrt -1) (+ (* N 1/3) (* (* N N) 1/9)))) (- (+ (pow (/ 1 N) -1/3) (* -1/9 (cbrt (/ 1 (pow N 5))))) (* 1/3 (cbrt (/ 1 (* N N))))) (- (* (cbrt -1) (cbrt (- N))) (* (cbrt -1) (+ (* 1/9 (cbrt (/ -1 (pow N 5)))) (* (cbrt (/ -1 (* N N))) 1/3)))) (+ (* -1/9 (* N N)) (+ (* N 1/3) 1)) (+ (+ (* 1/3 (cbrt (/ 1 (* N N)))) (* -1/9 (cbrt (/ 1 (pow N 5))))) (pow (/ 1 N) -1/3)) (- (+ (/ (* (exp (* (+ 0 (log N)) 1/3)) 1/3) N) (exp (* (+ 0 (log N)) 1/3))) (* (/ 1/9 N) (/ (exp (* (+ 0 (log N)) 1/3)) N))) 6.353 * * * [progress]: adding candidates to table 6.821 * [progress]: [Phase 3 of 3] Extracting. 6.822 * * [regime]: Finding splitpoints for: (# # # # # #) 6.823 * * * [regime-changes]: Trying 1 branch expressions: (N) 6.823 * * * * [regimes]: Trying to branch on N from (# # # # # #) 6.862 * * * [regime]: Found split indices: #