22.861 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.039 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.039 * * [simplify]: iteration 0: 6 enodes 0.040 * * [simplify]: iteration 1: 11 enodes 0.041 * * [simplify]: iteration 2: 12 enodes 0.043 * * [simplify]: iteration complete: 12 enodes 0.043 * * [simplify]: Extracting #0: cost 1 inf + 0 0.043 * * [simplify]: Extracting #1: cost 4 inf + 0 0.043 * * [simplify]: Extracting #2: cost 6 inf + 0 0.043 * * [simplify]: Extracting #3: cost 4 inf + 253 0.043 * * [simplify]: Extracting #4: cost 0 inf + 735 0.043 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.090 * * * [progress]: generating series expansions 0.090 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.090 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.090 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.090 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.090 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.090 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.090 * [taylor]: Taking taylor expansion of (atan N) in N 0.090 * [backup-simplify]: Simplify (atan N) into (atan N) 0.090 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.090 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.090 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.090 * [taylor]: Taking taylor expansion of (atan N) in N 0.090 * [backup-simplify]: Simplify (atan N) into (atan N) 0.090 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.091 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.091 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.094 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.094 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.094 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.094 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.095 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.095 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.095 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.095 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.095 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.095 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.095 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.095 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.095 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.098 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.098 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.098 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.098 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.098 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.098 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.098 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.099 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.099 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.099 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.099 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.099 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.099 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.102 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.102 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.102 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.102 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.102 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.102 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.102 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.103 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.103 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.103 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.103 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.103 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.103 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.103 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.103 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.103 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.103 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.103 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.104 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.104 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.104 * * * [progress]: simplifying candidates 0.104 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.104 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.104 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.105 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.105 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.105 * [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)) 0.106 * * [simplify]: iteration 0: 41 enodes 0.113 * * [simplify]: iteration 1: 77 enodes 0.129 * * [simplify]: iteration 2: 151 enodes 0.195 * * [simplify]: iteration 3: 313 enodes 0.294 * * [simplify]: iteration 4: 719 enodes 0.545 * * [simplify]: iteration 5: 2000 enodes 0.926 * * [simplify]: iteration complete: 2000 enodes 0.926 * * [simplify]: Extracting #0: cost 25 inf + 0 0.926 * * [simplify]: Extracting #1: cost 161 inf + 1 0.929 * * [simplify]: Extracting #2: cost 367 inf + 4218 0.936 * * [simplify]: Extracting #3: cost 251 inf + 42923 0.955 * * [simplify]: Extracting #4: cost 102 inf + 112172 0.991 * * [simplify]: Extracting #5: cost 27 inf + 166628 1.017 * * [simplify]: Extracting #6: cost 9 inf + 171035 1.062 * * [simplify]: Extracting #7: cost 0 inf + 174257 1.093 * [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)) 1.094 * * * [progress]: adding candidates to table 1.345 * * [progress]: iteration 2 / 4 1.345 * * * [progress]: picking best candidate 1.349 * * * * [pick]: Picked # 1.349 * * * [progress]: localizing error 1.360 * * * [progress]: generating rewritten candidates 1.360 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.361 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.380 * * * [progress]: generating series expansions 1.381 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.381 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.381 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1.381 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.381 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.381 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.381 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.382 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.382 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.382 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1.382 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.382 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.382 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.383 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.383 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.384 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.384 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1.384 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.384 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.384 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.384 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.384 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.384 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.389 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.389 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1.389 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1.389 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.390 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.390 * [taylor]: Taking taylor expansion of N in N 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of 1 in N 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of N in N 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.390 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.390 * [taylor]: Taking taylor expansion of N in N 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of 1 in N 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of N in N 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (+ 0 1) into 1 1.391 * [backup-simplify]: Simplify (* 1 0) into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify (+ 1 0) into 1 1.393 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1.394 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1.407 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1.407 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1.407 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.407 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.407 * [taylor]: Taking taylor expansion of N in N 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [taylor]: Taking taylor expansion of 1 in N 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [taylor]: Taking taylor expansion of N in N 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (+ 1 0) into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.408 * [taylor]: Taking taylor expansion of N in N 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (/ 1 1) into 1 1.409 * [taylor]: Taking taylor expansion of 1 in N 1.409 * [backup-simplify]: Simplify 1 into 1 1.409 * [taylor]: Taking taylor expansion of N in N 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (+ 1 0) into 1 1.410 * [backup-simplify]: Simplify (/ 1 1) into 1 1.410 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ 0 1) into 1 1.412 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.412 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [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 1.424 * [backup-simplify]: Simplify 0 into 0 1.425 * [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 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [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 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1.427 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1.427 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1.427 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.427 * [taylor]: Taking taylor expansion of -1 in N 1.427 * [backup-simplify]: Simplify -1 into -1 1.427 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.427 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.427 * [taylor]: Taking taylor expansion of 1 in N 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 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 * [backup-simplify]: Simplify (- 1) into -1 1.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.429 * [backup-simplify]: Simplify (/ -1 1) into -1 1.429 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.429 * [taylor]: Taking taylor expansion of -1 in N 1.429 * [backup-simplify]: Simplify -1 into -1 1.429 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.429 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.430 * [taylor]: Taking taylor expansion of 1 in N 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.430 * [taylor]: Taking taylor expansion of N in N 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [taylor]: Taking taylor expansion of N in N 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (- 1) into -1 1.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.431 * [backup-simplify]: Simplify (/ -1 1) into -1 1.432 * [backup-simplify]: Simplify (* -1 -1) into 1 1.432 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (- 0) into 0 1.433 * [backup-simplify]: Simplify (+ 1 0) into 1 1.434 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1.435 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.435 * [backup-simplify]: Simplify -1 into -1 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (- 0) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.448 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (- 0) into 0 1.450 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.455 * [backup-simplify]: Simplify (- 0) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [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 1.458 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.458 * [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)) (* 0 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (- 0) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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 * * * [progress]: simplifying candidates 1.465 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 1.465 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 1.465 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 1.466 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 1.466 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 1.467 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 1.467 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 1.467 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 1.467 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 1.467 * [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)) 1.468 * * [simplify]: iteration 0: 55 enodes 1.481 * * [simplify]: iteration 1: 121 enodes 1.521 * * [simplify]: iteration 2: 266 enodes 1.648 * * [simplify]: iteration 3: 706 enodes 1.908 * * [simplify]: iteration 4: 2002 enodes 2.465 * * [simplify]: iteration complete: 2002 enodes 2.465 * * [simplify]: Extracting #0: cost 25 inf + 0 2.465 * * [simplify]: Extracting #1: cost 226 inf + 0 2.475 * * [simplify]: Extracting #2: cost 656 inf + 1431 2.479 * * [simplify]: Extracting #3: cost 562 inf + 17030 2.488 * * [simplify]: Extracting #4: cost 262 inf + 65696 2.516 * * [simplify]: Extracting #5: cost 21 inf + 126069 2.541 * * [simplify]: Extracting #6: cost 0 inf + 131716 2.563 * [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)) 2.566 * * * [progress]: adding candidates to table 2.834 * * [progress]: iteration 3 / 4 2.834 * * * [progress]: picking best candidate 2.856 * * * * [pick]: Picked # 2.856 * * * [progress]: localizing error 2.880 * * * [progress]: generating rewritten candidates 2.880 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 2.883 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 2.885 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 2.891 * * * [progress]: generating series expansions 2.891 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.892 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.892 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.892 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.892 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.892 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.892 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.892 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.893 * [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))) 2.893 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.893 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.893 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.893 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.893 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.893 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.894 * [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))) 2.894 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.894 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.894 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.894 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.894 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.894 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.895 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 2.895 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 2.895 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 2.895 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.895 * [taylor]: Taking taylor expansion of 1/3 in N 2.895 * [backup-simplify]: Simplify 1/3 into 1/3 2.895 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.895 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.895 * [taylor]: Taking taylor expansion of N in N 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [taylor]: Taking taylor expansion of 1 in N 2.895 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (+ 0 1) into 1 2.896 * [backup-simplify]: Simplify (log 1) into 0 2.897 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.897 * [backup-simplify]: Simplify (+ 1 0) into 1 2.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.898 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.898 * [backup-simplify]: Simplify (exp 0) into 1 2.898 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.898 * [taylor]: Taking taylor expansion of 1/3 in N 2.898 * [backup-simplify]: Simplify 1/3 into 1/3 2.898 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.898 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.898 * [taylor]: Taking taylor expansion of N in N 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [taylor]: Taking taylor expansion of 1 in N 2.898 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (+ 0 1) into 1 2.899 * [backup-simplify]: Simplify (log 1) into 0 2.899 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.899 * [backup-simplify]: Simplify (+ 1 0) into 1 2.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.901 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.901 * [backup-simplify]: Simplify (exp 0) into 1 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.901 * [backup-simplify]: Simplify 1/3 into 1/3 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.903 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.905 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 2.907 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 2.907 * [backup-simplify]: Simplify -1/9 into -1/9 2.907 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 2.907 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 2.907 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 2.907 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.907 * [taylor]: Taking taylor expansion of 1/3 in N 2.907 * [backup-simplify]: Simplify 1/3 into 1/3 2.907 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.907 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.907 * [taylor]: Taking taylor expansion of N in N 2.907 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (/ 1 1) into 1 2.908 * [taylor]: Taking taylor expansion of 1 in N 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (+ 1 0) into 1 2.909 * [backup-simplify]: Simplify (log 1) into 0 2.909 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.909 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.909 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.909 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.910 * [taylor]: Taking taylor expansion of 1/3 in N 2.910 * [backup-simplify]: Simplify 1/3 into 1/3 2.910 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.910 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.910 * [taylor]: Taking taylor expansion of N in N 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [taylor]: Taking taylor expansion of 1 in N 2.910 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (+ 1 0) into 1 2.911 * [backup-simplify]: Simplify (log 1) into 0 2.911 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.912 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.912 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.912 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ 0 1) into 1 2.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.915 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.915 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 2.916 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 2.916 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.921 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.922 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 2.923 * [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)) 2.924 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 2.924 * [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))) 2.924 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 2.924 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 2.924 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.924 * [taylor]: Taking taylor expansion of 1/3 in N 2.925 * [backup-simplify]: Simplify 1/3 into 1/3 2.925 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.925 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.925 * [taylor]: Taking taylor expansion of 1 in N 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.925 * [taylor]: Taking taylor expansion of N in N 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (/ 1 1) into 1 2.925 * [backup-simplify]: Simplify (- 1) into -1 2.926 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.926 * [backup-simplify]: Simplify (log -1) into (log -1) 2.927 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.927 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.928 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.928 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.928 * [taylor]: Taking taylor expansion of 1/3 in N 2.928 * [backup-simplify]: Simplify 1/3 into 1/3 2.928 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.928 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.928 * [taylor]: Taking taylor expansion of 1 in N 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.928 * [taylor]: Taking taylor expansion of N in N 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (/ 1 1) into 1 2.928 * [backup-simplify]: Simplify (- 1) into -1 2.929 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.929 * [backup-simplify]: Simplify (log -1) into (log -1) 2.929 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.930 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.930 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.930 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (- 0) into 0 2.931 * [backup-simplify]: Simplify (+ 1 0) into 1 2.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.933 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.933 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 2.934 * [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))))) 2.934 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.938 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.939 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 2.940 * [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))))) 2.940 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 2.942 * [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)))) 2.942 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 2.942 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 2.942 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 2.942 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.942 * [taylor]: Taking taylor expansion of 1/3 in N 2.942 * [backup-simplify]: Simplify 1/3 into 1/3 2.942 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.942 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.942 * [taylor]: Taking taylor expansion of N in N 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [taylor]: Taking taylor expansion of 1 in N 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (+ 0 1) into 1 2.942 * [backup-simplify]: Simplify (log 1) into 0 2.943 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.943 * [backup-simplify]: Simplify (+ 1 0) into 1 2.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.944 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.944 * [backup-simplify]: Simplify (exp 0) into 1 2.944 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.944 * [taylor]: Taking taylor expansion of 1/3 in N 2.944 * [backup-simplify]: Simplify 1/3 into 1/3 2.944 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.944 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.944 * [taylor]: Taking taylor expansion of N in N 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [taylor]: Taking taylor expansion of 1 in N 2.944 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (+ 0 1) into 1 2.945 * [backup-simplify]: Simplify (log 1) into 0 2.945 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.945 * [backup-simplify]: Simplify (+ 1 0) into 1 2.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.947 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.947 * [backup-simplify]: Simplify (exp 0) into 1 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.947 * [backup-simplify]: Simplify 1/3 into 1/3 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.950 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 2.951 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 2.951 * [backup-simplify]: Simplify -1/9 into -1/9 2.951 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 2.951 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 2.951 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 2.951 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.951 * [taylor]: Taking taylor expansion of 1/3 in N 2.951 * [backup-simplify]: Simplify 1/3 into 1/3 2.951 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.951 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.951 * [taylor]: Taking taylor expansion of N in N 2.951 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (/ 1 1) into 1 2.952 * [taylor]: Taking taylor expansion of 1 in N 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (+ 1 0) into 1 2.952 * [backup-simplify]: Simplify (log 1) into 0 2.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.953 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.953 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.953 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.953 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.953 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.953 * [taylor]: Taking taylor expansion of 1/3 in N 2.953 * [backup-simplify]: Simplify 1/3 into 1/3 2.953 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.953 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.953 * [taylor]: Taking taylor expansion of N in N 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 1 into 1 2.953 * [backup-simplify]: Simplify (/ 1 1) into 1 2.953 * [taylor]: Taking taylor expansion of 1 in N 2.953 * [backup-simplify]: Simplify 1 into 1 2.953 * [backup-simplify]: Simplify (+ 1 0) into 1 2.954 * [backup-simplify]: Simplify (log 1) into 0 2.954 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.954 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.954 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.954 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.955 * [backup-simplify]: Simplify (+ 0 1) into 1 2.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.956 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.956 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 2.957 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 2.957 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.958 * [backup-simplify]: Simplify (+ 0 0) into 0 2.959 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.960 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.960 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 2.961 * [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)) 2.961 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 2.962 * [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))) 2.962 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 2.962 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 2.962 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.962 * [taylor]: Taking taylor expansion of 1/3 in N 2.962 * [backup-simplify]: Simplify 1/3 into 1/3 2.962 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.962 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.962 * [taylor]: Taking taylor expansion of 1 in N 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.962 * [taylor]: Taking taylor expansion of N in N 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [backup-simplify]: Simplify (- 1) into -1 2.963 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.963 * [backup-simplify]: Simplify (log -1) into (log -1) 2.964 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.964 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.964 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.964 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 2.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 2.964 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 2.964 * [taylor]: Taking taylor expansion of 1/3 in N 2.964 * [backup-simplify]: Simplify 1/3 into 1/3 2.964 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.964 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.964 * [taylor]: Taking taylor expansion of 1 in N 2.964 * [backup-simplify]: Simplify 1 into 1 2.964 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.964 * [taylor]: Taking taylor expansion of N in N 2.964 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (/ 1 1) into 1 2.965 * [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) 2.966 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.967 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 2.967 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.967 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify (+ 1 0) into 1 2.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.970 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.970 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 2.971 * [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))))) 2.971 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (- 0) into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.974 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.975 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 2.977 * [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))))) 2.977 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 2.978 * [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)))) 2.978 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 2.979 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 2.979 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 2.979 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.979 * [taylor]: Taking taylor expansion of 1/3 in N 2.979 * [backup-simplify]: Simplify 1/3 into 1/3 2.979 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.979 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.979 * [taylor]: Taking taylor expansion of N in N 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [taylor]: Taking taylor expansion of 1 in N 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (+ 0 1) into 1 2.979 * [backup-simplify]: Simplify (log 1) into 0 2.980 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.980 * [backup-simplify]: Simplify (+ 1 0) into 1 2.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.981 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.981 * [backup-simplify]: Simplify (exp 0) into 1 2.981 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 2.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 2.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 2.981 * [taylor]: Taking taylor expansion of 1/3 in N 2.981 * [backup-simplify]: Simplify 1/3 into 1/3 2.981 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.981 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.981 * [taylor]: Taking taylor expansion of N in N 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [taylor]: Taking taylor expansion of 1 in N 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (+ 0 1) into 1 2.982 * [backup-simplify]: Simplify (log 1) into 0 2.982 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.982 * [backup-simplify]: Simplify (+ 1 0) into 1 2.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.983 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.983 * [backup-simplify]: Simplify (exp 0) into 1 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 2.984 * [backup-simplify]: Simplify 1/3 into 1/3 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.986 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.987 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 2.988 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 2.988 * [backup-simplify]: Simplify -1/9 into -1/9 2.988 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 2.988 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 2.988 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 2.988 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.988 * [taylor]: Taking taylor expansion of 1/3 in N 2.988 * [backup-simplify]: Simplify 1/3 into 1/3 2.988 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.988 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.988 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.988 * [taylor]: Taking taylor expansion of N in N 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 1 into 1 2.988 * [backup-simplify]: Simplify (/ 1 1) into 1 2.988 * [taylor]: Taking taylor expansion of 1 in N 2.988 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (+ 1 0) into 1 2.989 * [backup-simplify]: Simplify (log 1) into 0 2.989 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.989 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.989 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.989 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 2.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 2.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 2.989 * [taylor]: Taking taylor expansion of 1/3 in N 2.989 * [backup-simplify]: Simplify 1/3 into 1/3 2.989 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.989 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.989 * [taylor]: Taking taylor expansion of N in N 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (/ 1 1) into 1 2.992 * [taylor]: Taking taylor expansion of 1 in N 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (+ 1 0) into 1 2.993 * [backup-simplify]: Simplify (log 1) into 0 2.993 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.993 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.993 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.993 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ 0 1) into 1 2.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.995 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.995 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 2.996 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 2.996 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (+ 0 0) into 0 2.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.998 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.999 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 3.000 * [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)) 3.000 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 3.000 * [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))) 3.000 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 3.000 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 3.000 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.000 * [taylor]: Taking taylor expansion of 1/3 in N 3.000 * [backup-simplify]: Simplify 1/3 into 1/3 3.000 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.000 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.000 * [taylor]: Taking taylor expansion of 1 in N 3.000 * [backup-simplify]: Simplify 1 into 1 3.000 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.001 * [taylor]: Taking taylor expansion of N in N 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [backup-simplify]: Simplify (- 1) into -1 3.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.002 * [backup-simplify]: Simplify (log -1) into (log -1) 3.002 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.002 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.003 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.003 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 3.003 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 3.003 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 3.003 * [taylor]: Taking taylor expansion of 1/3 in N 3.003 * [backup-simplify]: Simplify 1/3 into 1/3 3.003 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 3.003 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.003 * [taylor]: Taking taylor expansion of 1 in N 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.003 * [taylor]: Taking taylor expansion of N in N 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [backup-simplify]: Simplify (- 1) into -1 3.004 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.004 * [backup-simplify]: Simplify (log -1) into (log -1) 3.004 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.005 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 3.005 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.005 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (- 0) into 0 3.006 * [backup-simplify]: Simplify (+ 1 0) into 1 3.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 3.008 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.009 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 3.010 * [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))))) 3.011 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- 0) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.013 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 3.014 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.015 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 3.016 * [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))))) 3.016 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 3.017 * [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)))) 3.018 * * * [progress]: simplifying candidates 3.018 * * * * [progress]: [ 1 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 2 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 3 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 4 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 5 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 6 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 7 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 8 / 65 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))))> 3.018 * * * * [progress]: [ 9 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 10 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 11 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 12 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 13 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 14 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 15 / 65 ] simplifiying candidate # 3.018 * * * * [progress]: [ 16 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 17 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 18 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 19 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 20 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 21 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 22 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 23 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))) N)))))> 3.019 * * * * [progress]: [ 24 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 25 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 26 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 27 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 28 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 29 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 30 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 31 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 32 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 33 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 34 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 35 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 36 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 37 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 38 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1))))) (* (cbrt (+ N 1)) N)))))> 3.019 * * * * [progress]: [ 39 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 40 / 65 ] simplifiying candidate # 3.019 * * * * [progress]: [ 41 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 42 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 43 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 44 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 45 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 46 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 47 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 48 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 49 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 50 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 51 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 52 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 53 / 65 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1)))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))> 3.020 * * * * [progress]: [ 54 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 55 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 56 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 57 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 58 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 59 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 60 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 61 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 62 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 63 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 64 / 65 ] simplifiying candidate # 3.020 * * * * [progress]: [ 65 / 65 ] simplifiying candidate # 3.021 * [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)))) 3.022 * * [simplify]: iteration 0: 80 enodes 3.041 * * [simplify]: iteration 1: 167 enodes 3.104 * * [simplify]: iteration 2: 346 enodes 3.255 * * [simplify]: iteration 3: 747 enodes 3.431 * * [simplify]: iteration 4: 2000 enodes 3.799 * * [simplify]: iteration complete: 2000 enodes 3.799 * * [simplify]: Extracting #0: cost 26 inf + 0 3.799 * * [simplify]: Extracting #1: cost 63 inf + 1 3.800 * * [simplify]: Extracting #2: cost 353 inf + 45 3.802 * * [simplify]: Extracting #3: cost 487 inf + 7176 3.808 * * [simplify]: Extracting #4: cost 395 inf + 39331 3.821 * * [simplify]: Extracting #5: cost 197 inf + 109629 3.836 * * [simplify]: Extracting #6: cost 103 inf + 139165 3.855 * * [simplify]: Extracting #7: cost 72 inf + 150695 3.879 * * [simplify]: Extracting #8: cost 11 inf + 175750 3.898 * * [simplify]: Extracting #9: cost 0 inf + 180806 3.932 * [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))))) 3.942 * * * [progress]: adding candidates to table 4.562 * * [progress]: iteration 4 / 4 4.562 * * * [progress]: picking best candidate 4.586 * * * * [pick]: Picked # 4.587 * * * [progress]: localizing error 4.652 * * * [progress]: generating rewritten candidates 4.652 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 4.662 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.662 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2) 4.674 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 4.680 * * * [progress]: generating series expansions 4.680 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 4.680 * [backup-simplify]: Simplify (cbrt (- (* N N) 1)) into (pow (- (pow N 2) 1) 1/3) 4.680 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1) 1/3) in (N) around 0 4.680 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1) 1/3) in N 4.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1)))) in N 4.680 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1))) in N 4.680 * [taylor]: Taking taylor expansion of 1/3 in N 4.680 * [backup-simplify]: Simplify 1/3 into 1/3 4.680 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1)) in N 4.680 * [taylor]: Taking taylor expansion of (- (pow N 2) 1) in N 4.680 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.680 * [taylor]: Taking taylor expansion of N in N 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 1 into 1 4.680 * [taylor]: Taking taylor expansion of 1 in N 4.680 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (- 1) into -1 4.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.682 * [backup-simplify]: Simplify (log -1) into (log -1) 4.683 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 4.684 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 4.684 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1) 1/3) in N 4.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1)))) in N 4.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1))) in N 4.684 * [taylor]: Taking taylor expansion of 1/3 in N 4.684 * [backup-simplify]: Simplify 1/3 into 1/3 4.684 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1)) in N 4.684 * [taylor]: Taking taylor expansion of (- (pow N 2) 1) in N 4.684 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.684 * [taylor]: Taking taylor expansion of N in N 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [taylor]: Taking taylor expansion of 1 in N 4.684 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (- 1) into -1 4.685 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.685 * [backup-simplify]: Simplify (log -1) into (log -1) 4.686 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 4.688 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 4.688 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 4.688 * [backup-simplify]: Simplify (- 0) into 0 4.689 * [backup-simplify]: Simplify (+ 0 0) into 0 4.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.691 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 4.692 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 4.692 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify (* 1 1) into 1 4.693 * [backup-simplify]: Simplify (- 0) into 0 4.693 * [backup-simplify]: Simplify (+ 1 0) into 1 4.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1 4.697 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (log -1)))) into -1/3 4.702 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 4.703 * [backup-simplify]: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) 4.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.704 * [backup-simplify]: Simplify (- 0) into 0 4.704 * [backup-simplify]: Simplify (+ 0 0) into 0 4.708 * [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 4.709 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (log -1))))) into 0 4.711 * [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 4.711 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.712 * [backup-simplify]: Simplify (- 0) into 0 4.712 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [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 4.719 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (log -1)))))) into -1/6 4.726 * [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)) 4.727 * [backup-simplify]: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) 4.729 * [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))))) 4.729 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 N) (/ 1 N)) 1)) into (pow (- (/ 1 (pow N 2)) 1) 1/3) 4.729 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in (N) around 0 4.729 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in N 4.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1)))) in N 4.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1))) in N 4.729 * [taylor]: Taking taylor expansion of 1/3 in N 4.729 * [backup-simplify]: Simplify 1/3 into 1/3 4.729 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1)) in N 4.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1) in N 4.729 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.729 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.729 * [taylor]: Taking taylor expansion of N in N 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (* 1 1) into 1 4.730 * [backup-simplify]: Simplify (/ 1 1) into 1 4.730 * [taylor]: Taking taylor expansion of 1 in N 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [backup-simplify]: Simplify (+ 1 0) into 1 4.730 * [backup-simplify]: Simplify (log 1) into 0 4.730 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.730 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.730 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.731 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in N 4.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1)))) in N 4.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1))) in N 4.731 * [taylor]: Taking taylor expansion of 1/3 in N 4.731 * [backup-simplify]: Simplify 1/3 into 1/3 4.731 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1)) in N 4.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1) in N 4.731 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.731 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.731 * [taylor]: Taking taylor expansion of N in N 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [backup-simplify]: Simplify (* 1 1) into 1 4.731 * [backup-simplify]: Simplify (/ 1 1) into 1 4.731 * [taylor]: Taking taylor expansion of 1 in N 4.731 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (+ 1 0) into 1 4.732 * [backup-simplify]: Simplify (log 1) into 0 4.732 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.732 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.732 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.732 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.733 * [backup-simplify]: Simplify (+ 0 0) into 0 4.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.734 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.735 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.735 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.737 * [backup-simplify]: Simplify (- 1) into -1 4.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.741 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1 4.741 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.742 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 1/3) 4.744 * [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)) 4.744 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 4.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.746 * [backup-simplify]: Simplify (- 0) into 0 4.747 * [backup-simplify]: Simplify (+ 0 0) into 0 4.752 * [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 4.753 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.754 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 4.756 * [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 4.756 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.759 * [backup-simplify]: Simplify (- 0) into 0 4.760 * [backup-simplify]: Simplify (+ 0 0) into 0 4.771 * [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 4.772 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.773 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6) 4.779 * [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)) 4.779 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 4.780 * [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)))) 4.780 * [backup-simplify]: Simplify (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) 1)) into (pow (- (/ 1 (pow N 2)) 1) 1/3) 4.780 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in (N) around 0 4.780 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in N 4.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1)))) in N 4.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1))) in N 4.780 * [taylor]: Taking taylor expansion of 1/3 in N 4.780 * [backup-simplify]: Simplify 1/3 into 1/3 4.780 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1)) in N 4.780 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1) in N 4.780 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.780 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.780 * [taylor]: Taking taylor expansion of N in N 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (* 1 1) into 1 4.781 * [backup-simplify]: Simplify (/ 1 1) into 1 4.781 * [taylor]: Taking taylor expansion of 1 in N 4.781 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (+ 1 0) into 1 4.782 * [backup-simplify]: Simplify (log 1) into 0 4.782 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.782 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.782 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.783 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1) 1/3) in N 4.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1)))) in N 4.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1))) in N 4.783 * [taylor]: Taking taylor expansion of 1/3 in N 4.783 * [backup-simplify]: Simplify 1/3 into 1/3 4.783 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1)) in N 4.783 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1) in N 4.783 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.783 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.783 * [taylor]: Taking taylor expansion of N in N 4.783 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify 1 into 1 4.783 * [backup-simplify]: Simplify (* 1 1) into 1 4.783 * [backup-simplify]: Simplify (/ 1 1) into 1 4.783 * [taylor]: Taking taylor expansion of 1 in N 4.783 * [backup-simplify]: Simplify 1 into 1 4.784 * [backup-simplify]: Simplify (+ 1 0) into 1 4.784 * [backup-simplify]: Simplify (log 1) into 0 4.784 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.784 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 4.784 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 4.784 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 4.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.788 * [backup-simplify]: Simplify (+ 0 0) into 0 4.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.789 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.789 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 4.790 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.791 * [backup-simplify]: Simplify (- 1) into -1 4.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.793 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1 4.793 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.794 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 1/3) 4.795 * [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)) 4.795 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 4.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (- 0) into 0 4.797 * [backup-simplify]: Simplify (+ 0 0) into 0 4.800 * [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 4.800 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 4.802 * [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 4.802 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.804 * [backup-simplify]: Simplify (- 0) into 0 4.804 * [backup-simplify]: Simplify (+ 0 0) into 0 4.810 * [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 4.810 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 4.811 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6) 4.816 * [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)) 4.816 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 4.817 * [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)))) 4.817 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.817 * [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)) 4.817 * [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 4.817 * [taylor]: Taking taylor expansion of (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) in N 4.817 * [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)) 4.818 * [taylor]: Taking taylor expansion of (atan2 1 (+ (* (pow (/ (* (- (pow N 2) 1) (pow (+ N 1) 2)) (- N 1)) 1/3) N) 1)) in N 4.818 * [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)) 4.818 * [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)) 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.819 * [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)) 4.819 * [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)) 4.819 * [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 4.819 * [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 4.820 * [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)) 4.820 * [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 4.820 * [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)) 4.821 * [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)) 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [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)) 4.822 * [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)))))) 4.822 * [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 4.822 * [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 4.824 * [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)))))) 4.824 * [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 4.825 * [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)))))) 4.826 * [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)))))) 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.827 * [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)) 4.827 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2) 4.827 * [backup-simplify]: Simplify (cbrt (- N 1)) into (pow (- N 1) 1/3) 4.827 * [approximate]: Taking taylor expansion of (pow (- N 1) 1/3) in (N) around 0 4.828 * [taylor]: Taking taylor expansion of (pow (- N 1) 1/3) in N 4.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1)))) in N 4.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1))) in N 4.828 * [taylor]: Taking taylor expansion of 1/3 in N 4.828 * [backup-simplify]: Simplify 1/3 into 1/3 4.828 * [taylor]: Taking taylor expansion of (log (- N 1)) in N 4.828 * [taylor]: Taking taylor expansion of (- N 1) in N 4.828 * [taylor]: Taking taylor expansion of N in N 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [taylor]: Taking taylor expansion of 1 in N 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [backup-simplify]: Simplify (- 1) into -1 4.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.829 * [backup-simplify]: Simplify (log -1) into (log -1) 4.830 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 4.831 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 4.831 * [taylor]: Taking taylor expansion of (pow (- N 1) 1/3) in N 4.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1)))) in N 4.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1))) in N 4.831 * [taylor]: Taking taylor expansion of 1/3 in N 4.831 * [backup-simplify]: Simplify 1/3 into 1/3 4.831 * [taylor]: Taking taylor expansion of (log (- N 1)) in N 4.831 * [taylor]: Taking taylor expansion of (- N 1) in N 4.831 * [taylor]: Taking taylor expansion of N in N 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.831 * [taylor]: Taking taylor expansion of 1 in N 4.831 * [backup-simplify]: Simplify 1 into 1 4.831 * [backup-simplify]: Simplify (- 1) into -1 4.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.832 * [backup-simplify]: Simplify (log -1) into (log -1) 4.833 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 4.834 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 4.835 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 4.835 * [backup-simplify]: Simplify (- 0) into 0 4.835 * [backup-simplify]: Simplify (+ 1 0) into 1 4.837 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.837 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 4.841 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) 4.842 * [backup-simplify]: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) 4.842 * [backup-simplify]: Simplify (- 0) into 0 4.842 * [backup-simplify]: Simplify (+ 0 0) into 0 4.845 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.846 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 4.851 * [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)) 4.852 * [backup-simplify]: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) 4.854 * [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))))) 4.855 * [backup-simplify]: Simplify (cbrt (- (/ 1 N) 1)) into (pow (- (/ 1 N) 1) 1/3) 4.855 * [approximate]: Taking taylor expansion of (pow (- (/ 1 N) 1) 1/3) in (N) around 0 4.855 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1) 1/3) in N 4.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1)))) in N 4.855 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1))) in N 4.855 * [taylor]: Taking taylor expansion of 1/3 in N 4.855 * [backup-simplify]: Simplify 1/3 into 1/3 4.855 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1)) in N 4.855 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1) in N 4.855 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.855 * [taylor]: Taking taylor expansion of N in N 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [backup-simplify]: Simplify (/ 1 1) into 1 4.855 * [taylor]: Taking taylor expansion of 1 in N 4.855 * [backup-simplify]: Simplify 1 into 1 4.856 * [backup-simplify]: Simplify (+ 1 0) into 1 4.856 * [backup-simplify]: Simplify (log 1) into 0 4.856 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.856 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.857 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.857 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1) 1/3) in N 4.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1)))) in N 4.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1))) in N 4.857 * [taylor]: Taking taylor expansion of 1/3 in N 4.857 * [backup-simplify]: Simplify 1/3 into 1/3 4.857 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1)) in N 4.857 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1) in N 4.857 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.857 * [taylor]: Taking taylor expansion of N in N 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify (/ 1 1) into 1 4.857 * [taylor]: Taking taylor expansion of 1 in N 4.857 * [backup-simplify]: Simplify 1 into 1 4.858 * [backup-simplify]: Simplify (+ 1 0) into 1 4.858 * [backup-simplify]: Simplify (log 1) into 0 4.858 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.858 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.858 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.858 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.860 * [backup-simplify]: Simplify (- 1) into -1 4.860 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.861 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.862 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log N)))) into (- 1/3) 4.863 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 N) 1/3)) 4.863 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 N) 1/3)) into (* -1/3 (pow (/ 1 N) 1/3)) 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (- 0) into 0 4.864 * [backup-simplify]: Simplify (+ 0 0) into 0 4.867 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.867 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.868 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log N))))) into (- 1/6) 4.870 * [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)) 4.870 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 4.870 * [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)))) 4.871 * [backup-simplify]: Simplify (cbrt (- (/ 1 (- N)) 1)) into (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) 4.871 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) in (N) around 0 4.871 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) in N 4.871 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.871 * [taylor]: Taking taylor expansion of -1 in N 4.871 * [backup-simplify]: Simplify -1 into -1 4.871 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.872 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.872 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.872 * [taylor]: Taking taylor expansion of 1/3 in N 4.872 * [backup-simplify]: Simplify 1/3 into 1/3 4.872 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.872 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.872 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.872 * [taylor]: Taking taylor expansion of N in N 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.873 * [backup-simplify]: Simplify (/ 1 1) into 1 4.873 * [taylor]: Taking taylor expansion of 1 in N 4.873 * [backup-simplify]: Simplify 1 into 1 4.873 * [backup-simplify]: Simplify (+ 1 0) into 1 4.874 * [backup-simplify]: Simplify (log 1) into 0 4.874 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.874 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.874 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.874 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1) 1/3)) in N 4.874 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.874 * [taylor]: Taking taylor expansion of -1 in N 4.874 * [backup-simplify]: Simplify -1 into -1 4.875 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.875 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.875 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.875 * [taylor]: Taking taylor expansion of 1/3 in N 4.875 * [backup-simplify]: Simplify 1/3 into 1/3 4.876 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.876 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.876 * [taylor]: Taking taylor expansion of N in N 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (/ 1 1) into 1 4.876 * [taylor]: Taking taylor expansion of 1 in N 4.876 * [backup-simplify]: Simplify 1 into 1 4.877 * [backup-simplify]: Simplify (+ 1 0) into 1 4.877 * [backup-simplify]: Simplify (log 1) into 0 4.877 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.877 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.878 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.878 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.879 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt -1)) into (* (pow (/ 1 N) 1/3) (cbrt -1)) 4.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.880 * [backup-simplify]: Simplify (+ 0 1) into 1 4.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.881 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.881 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 4.881 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 4.882 * [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))) 4.882 * [backup-simplify]: Simplify (* 1/3 (* (pow (/ 1 N) 1/3) (cbrt -1))) into (* 1/3 (* (pow (/ 1 N) 1/3) (cbrt -1))) 4.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.883 * [backup-simplify]: Simplify (+ 0 0) into 0 4.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.885 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.886 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 4.887 * [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)) 4.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.889 * [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)))) 4.890 * [backup-simplify]: Simplify (- (* 1/9 (* (pow (/ 1 N) 1/3) (cbrt -1)))) into (- (* 1/9 (* (pow (/ 1 N) 1/3) (cbrt -1)))) 4.892 * [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))))) 4.892 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 4.892 * [backup-simplify]: Simplify (cbrt (+ N 1)) into (pow (+ N 1) 1/3) 4.892 * [approximate]: Taking taylor expansion of (pow (+ N 1) 1/3) in (N) around 0 4.892 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 4.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 4.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 4.892 * [taylor]: Taking taylor expansion of 1/3 in N 4.892 * [backup-simplify]: Simplify 1/3 into 1/3 4.892 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.892 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.892 * [taylor]: Taking taylor expansion of N in N 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [taylor]: Taking taylor expansion of 1 in N 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [backup-simplify]: Simplify (+ 0 1) into 1 4.893 * [backup-simplify]: Simplify (log 1) into 0 4.893 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.893 * [backup-simplify]: Simplify (+ 1 0) into 1 4.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.894 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.894 * [backup-simplify]: Simplify (exp 0) into 1 4.894 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 4.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 4.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 4.895 * [taylor]: Taking taylor expansion of 1/3 in N 4.895 * [backup-simplify]: Simplify 1/3 into 1/3 4.895 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.895 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.895 * [taylor]: Taking taylor expansion of N in N 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [taylor]: Taking taylor expansion of 1 in N 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (+ 0 1) into 1 4.895 * [backup-simplify]: Simplify (log 1) into 0 4.895 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.896 * [backup-simplify]: Simplify (+ 1 0) into 1 4.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.898 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.899 * [backup-simplify]: Simplify (exp 0) into 1 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 4.899 * [backup-simplify]: Simplify 1/3 into 1/3 4.900 * [backup-simplify]: Simplify (+ 0 0) into 0 4.901 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.902 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 4.903 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 4.903 * [backup-simplify]: Simplify -1/9 into -1/9 4.903 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) 4.903 * [backup-simplify]: Simplify (cbrt (+ (/ 1 N) 1)) into (pow (+ (/ 1 N) 1) 1/3) 4.903 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in (N) around 0 4.903 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.903 * [taylor]: Taking taylor expansion of 1/3 in N 4.903 * [backup-simplify]: Simplify 1/3 into 1/3 4.903 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.903 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.903 * [taylor]: Taking taylor expansion of N in N 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [backup-simplify]: Simplify (/ 1 1) into 1 4.904 * [taylor]: Taking taylor expansion of 1 in N 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [backup-simplify]: Simplify (+ 1 0) into 1 4.904 * [backup-simplify]: Simplify (log 1) into 0 4.904 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.904 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.904 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.904 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 4.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 4.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 4.904 * [taylor]: Taking taylor expansion of 1/3 in N 4.905 * [backup-simplify]: Simplify 1/3 into 1/3 4.905 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.905 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.905 * [taylor]: Taking taylor expansion of N in N 4.905 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify 1 into 1 4.905 * [backup-simplify]: Simplify (/ 1 1) into 1 4.905 * [taylor]: Taking taylor expansion of 1 in N 4.905 * [backup-simplify]: Simplify 1 into 1 4.905 * [backup-simplify]: Simplify (+ 1 0) into 1 4.905 * [backup-simplify]: Simplify (log 1) into 0 4.906 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.906 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 4.906 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 4.906 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (+ 0 1) into 1 4.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.908 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.908 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 4.909 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 4.909 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (+ 0 0) into 0 4.914 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.914 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.915 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 4.917 * [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)) 4.917 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) 4.917 * [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))) 4.918 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (pow (- 1 (/ 1 N)) 1/3) 4.918 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in (N) around 0 4.918 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 4.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 4.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 4.918 * [taylor]: Taking taylor expansion of 1/3 in N 4.918 * [backup-simplify]: Simplify 1/3 into 1/3 4.918 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 4.918 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.918 * [taylor]: Taking taylor expansion of 1 in N 4.918 * [backup-simplify]: Simplify 1 into 1 4.918 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.918 * [taylor]: Taking taylor expansion of N in N 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 1 into 1 4.918 * [backup-simplify]: Simplify (/ 1 1) into 1 4.919 * [backup-simplify]: Simplify (- 1) into -1 4.919 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.920 * [backup-simplify]: Simplify (log -1) into (log -1) 4.920 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.921 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 4.921 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 4.921 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 4.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 4.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 4.921 * [taylor]: Taking taylor expansion of 1/3 in N 4.921 * [backup-simplify]: Simplify 1/3 into 1/3 4.921 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 4.921 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.921 * [taylor]: Taking taylor expansion of 1 in N 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.921 * [taylor]: Taking taylor expansion of N in N 4.921 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.922 * [backup-simplify]: Simplify (- 1) into -1 4.923 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.923 * [backup-simplify]: Simplify (log -1) into (log -1) 4.924 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.924 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 4.925 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 4.925 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (- 0) into 0 4.927 * [backup-simplify]: Simplify (+ 1 0) into 1 4.929 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.929 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.930 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 4.931 * [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))))) 4.932 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.933 * [backup-simplify]: Simplify (- 0) into 0 4.934 * [backup-simplify]: Simplify (+ 0 0) into 0 4.937 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.937 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.939 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 4.941 * [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))))) 4.941 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 4.943 * [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)))) 4.943 * * * [progress]: simplifying candidates 4.943 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 4.943 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 4.943 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 16 / 70 ] simplifiying candidate # 4.944 * * * * [progress]: [ 17 / 70 ] simplifiying candidate #real (real->posit16 (cbrt (- (* N N) 1)))) (cbrt (- N 1))) N)))))> 4.945 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 4.945 * * * * [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)))))))> 4.945 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 4.945 * * * * [progress]: [ 32 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 43 / 70 ] simplifiying candidate #real (real->posit16 (cbrt (- N 1))))) N)))))> 4.946 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 4.946 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 48 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (cbrt (+ N 1))))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))))> 4.947 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 4.947 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 4.948 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 4.948 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 4.948 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 4.948 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 4.948 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 4.948 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 4.948 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 4.948 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 4.948 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 4.950 * [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)))) 4.953 * * [simplify]: iteration 0: 192 enodes 5.024 * * [simplify]: iteration 1: 434 enodes 5.246 * * [simplify]: iteration 2: 1172 enodes 5.541 * * [simplify]: iteration 3: 2001 enodes 5.975 * * [simplify]: iteration complete: 2001 enodes 5.975 * * [simplify]: Extracting #0: cost 59 inf + 0 5.976 * * [simplify]: Extracting #1: cost 147 inf + 1 5.977 * * [simplify]: Extracting #2: cost 336 inf + 781 5.983 * * [simplify]: Extracting #3: cost 503 inf + 11170 5.995 * * [simplify]: Extracting #4: cost 377 inf + 39219 6.016 * * [simplify]: Extracting #5: cost 359 inf + 73226 6.050 * * [simplify]: Extracting #6: cost 273 inf + 112854 6.072 * * [simplify]: Extracting #7: cost 122 inf + 158368 6.102 * * [simplify]: Extracting #8: cost 18 inf + 199455 6.151 * * [simplify]: Extracting #9: cost 0 inf + 206387 6.176 * [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))) 6.185 * * * [progress]: adding candidates to table 7.196 * [progress]: [Phase 3 of 3] Extracting. 7.196 * * [regime]: Finding splitpoints for: (# # # # # #) 7.197 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.197 * * * * [regimes]: Trying to branch on N from (# # # # # #) 7.257 * * * [regime]: Found split indices: #