17.324 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.058 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.058 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.058 * * [simplify]: iteration 0: 6 enodes 0.060 * * [simplify]: iteration 1: 11 enodes 0.061 * * [simplify]: iteration 2: 12 enodes 0.063 * * [simplify]: iteration complete: 12 enodes 0.063 * * [simplify]: Extracting #0: cost 1 inf + 0 0.063 * * [simplify]: Extracting #1: cost 4 inf + 0 0.063 * * [simplify]: Extracting #2: cost 6 inf + 0 0.063 * * [simplify]: Extracting #3: cost 4 inf + 253 0.063 * * [simplify]: Extracting #4: cost 0 inf + 735 0.063 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.078 * * * [progress]: generating rewritten candidates 0.078 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.083 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.083 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.083 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.083 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.083 * [taylor]: Taking taylor expansion of (atan N) in N 0.083 * [backup-simplify]: Simplify (atan N) into (atan N) 0.083 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.083 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.083 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.083 * [taylor]: Taking taylor expansion of (atan N) in N 0.083 * [backup-simplify]: Simplify (atan N) into (atan N) 0.084 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.084 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.084 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [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 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [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 (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.100 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.100 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.100 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.100 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.100 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.100 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.100 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.100 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.100 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.101 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.101 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.101 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 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 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 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 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.105 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.105 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.105 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.105 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.105 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.105 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.105 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.105 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.105 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.105 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.105 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.105 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.109 * * * [progress]: simplifying candidates 0.109 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.109 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 0.109 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 0.110 * [simplify]: Simplifying: (- (+ N 1) N) (+ 1 (* (+ N 1) N)) (/ (exp (atan (+ N 1))) (exp (atan N))) (log (- (atan (+ N 1)) (atan N))) (exp (- (atan (+ N 1)) (atan N))) (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N))) (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N)) (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) 0.110 * * [simplify]: iteration 0: 36 enodes 0.117 * * [simplify]: iteration 1: 73 enodes 0.136 * * [simplify]: iteration 2: 147 enodes 0.197 * * [simplify]: iteration 3: 307 enodes 0.314 * * [simplify]: iteration 4: 692 enodes 0.589 * * [simplify]: iteration 5: 1968 enodes 0.946 * * [simplify]: iteration 6: 2000 enodes 1.240 * * [simplify]: iteration complete: 2000 enodes 1.240 * * [simplify]: Extracting #0: cost 17 inf + 0 1.241 * * [simplify]: Extracting #1: cost 129 inf + 1 1.242 * * [simplify]: Extracting #2: cost 337 inf + 87 1.245 * * [simplify]: Extracting #3: cost 300 inf + 15692 1.255 * * [simplify]: Extracting #4: cost 129 inf + 75626 1.290 * * [simplify]: Extracting #5: cost 36 inf + 134668 1.313 * * [simplify]: Extracting #6: cost 15 inf + 147520 1.357 * * [simplify]: Extracting #7: cost 1 inf + 156476 1.387 * * [simplify]: Extracting #8: cost 0 inf + 157084 1.417 * [simplify]: Simplified to: 1 (+ (* N N) (+ N 1)) (exp (- (atan (+ N 1)) (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))) (- (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) (* (* (atan N) (atan N)) (atan N))) (+ (* (atan (+ N 1)) (+ (atan N) (atan (+ N 1)))) (* (atan N) (atan N))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan N) (atan (+ N 1))) (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) 1.418 * * * [progress]: adding candidates to table 1.497 * * [progress]: iteration 2 / 4 1.497 * * * [progress]: picking best candidate 1.499 * * * * [pick]: Picked # 1.499 * * * [progress]: localizing error 1.510 * * * [progress]: generating rewritten candidates 1.510 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.511 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.536 * * * [progress]: generating series expansions 1.536 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.536 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.536 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1.536 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.536 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.536 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.536 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.537 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.537 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.537 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1.537 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.538 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.538 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.538 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.538 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.539 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.539 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1.539 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.539 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.539 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.539 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.540 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.540 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.540 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1.540 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1.540 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.540 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.540 * [taylor]: Taking taylor expansion of N in N 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [taylor]: Taking taylor expansion of 1 in N 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [taylor]: Taking taylor expansion of N in N 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.541 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.541 * [taylor]: Taking taylor expansion of N in N 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [taylor]: Taking taylor expansion of 1 in N 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [taylor]: Taking taylor expansion of N in N 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (+ 0 1) into 1 1.542 * [backup-simplify]: Simplify (* 1 0) into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ 1 0) into 1 1.544 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (+ 0 0) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1.565 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1.565 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.565 * [taylor]: Taking taylor expansion of N in N 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (/ 1 1) into 1 1.566 * [taylor]: Taking taylor expansion of 1 in N 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [taylor]: Taking taylor expansion of N in N 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (+ 1 0) into 1 1.566 * [backup-simplify]: Simplify (/ 1 1) into 1 1.566 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.566 * [taylor]: Taking taylor expansion of N in N 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ 1 1) into 1 1.567 * [taylor]: Taking taylor expansion of 1 in N 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [taylor]: Taking taylor expansion of N in N 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (+ 1 0) into 1 1.567 * [backup-simplify]: Simplify (/ 1 1) into 1 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ 0 1) into 1 1.569 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [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 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [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 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [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 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1.578 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1.578 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1.578 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.578 * [taylor]: Taking taylor expansion of -1 in N 1.578 * [backup-simplify]: Simplify -1 into -1 1.578 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.578 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.578 * [taylor]: Taking taylor expansion of 1 in N 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.578 * [taylor]: Taking taylor expansion of N in N 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (/ 1 1) into 1 1.578 * [taylor]: Taking taylor expansion of N in N 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (- 1) into -1 1.579 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.579 * [backup-simplify]: Simplify (/ -1 1) into -1 1.579 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.579 * [taylor]: Taking taylor expansion of -1 in N 1.579 * [backup-simplify]: Simplify -1 into -1 1.579 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.579 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.579 * [taylor]: Taking taylor expansion of 1 in N 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.579 * [taylor]: Taking taylor expansion of N in N 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [taylor]: Taking taylor expansion of N in N 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (- 1) into -1 1.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.580 * [backup-simplify]: Simplify (/ -1 1) into -1 1.581 * [backup-simplify]: Simplify (* -1 -1) into 1 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (- 0) into 0 1.582 * [backup-simplify]: Simplify (+ 1 0) into 1 1.582 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1.583 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.583 * [backup-simplify]: Simplify -1 into -1 1.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (- 0) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (- 0) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [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 1.596 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [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 1.599 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1.599 * * * [progress]: simplifying candidates 1.599 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 1.599 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 1.599 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 1.600 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 1.600 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 1.600 * [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)) 1.601 * * [simplify]: iteration 0: 55 enodes 1.613 * * [simplify]: iteration 1: 121 enodes 1.649 * * [simplify]: iteration 2: 266 enodes 1.798 * * [simplify]: iteration 3: 706 enodes 2.113 * * [simplify]: iteration 4: 2002 enodes 2.674 * * [simplify]: iteration complete: 2002 enodes 2.674 * * [simplify]: Extracting #0: cost 25 inf + 0 2.674 * * [simplify]: Extracting #1: cost 226 inf + 0 2.676 * * [simplify]: Extracting #2: cost 656 inf + 1431 2.687 * * [simplify]: Extracting #3: cost 562 inf + 17030 2.704 * * [simplify]: Extracting #4: cost 262 inf + 65696 2.736 * * [simplify]: Extracting #5: cost 21 inf + 126069 2.756 * * [simplify]: Extracting #6: cost 0 inf + 131716 2.779 * [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)) 2.781 * * * [progress]: adding candidates to table 2.901 * * [progress]: iteration 3 / 4 2.901 * * * [progress]: picking best candidate 2.905 * * * * [pick]: Picked # 2.905 * * * [progress]: localizing error 2.925 * * * [progress]: generating rewritten candidates 2.925 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.926 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.927 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.935 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.936 * * * [progress]: generating series expansions 2.937 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.937 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.937 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 2.937 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 2.937 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.937 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.937 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.937 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 2.937 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.937 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.937 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.938 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.942 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 2.942 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 2.942 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 2.942 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.942 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.942 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 2.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.942 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 2.942 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.942 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.942 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 2.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.943 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.946 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 2.946 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 2.946 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 2.946 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.946 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.946 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 2.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.947 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 2.947 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.947 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.947 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 2.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.947 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 2.947 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.951 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.951 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.951 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 2.951 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 2.951 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.951 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.951 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.951 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 2.951 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.952 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.952 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.952 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.955 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 2.955 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 2.955 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 2.955 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.955 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.956 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.956 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 2.956 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.956 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.956 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.956 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 2.956 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.960 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.962 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 2.962 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 2.962 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 2.962 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.962 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.963 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 2.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.963 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 2.963 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.963 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.963 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 2.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.964 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 2.964 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.970 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.970 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.970 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.971 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.971 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.971 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.971 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.971 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.972 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.972 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.972 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.972 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.972 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.972 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.973 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.974 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.974 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.974 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.974 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.974 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.974 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.974 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.975 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.975 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.975 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.975 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.975 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.975 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.975 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.976 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.976 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.976 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.976 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.977 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.977 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.977 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.977 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.978 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.978 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.978 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.978 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.978 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.978 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.978 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.978 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.979 * * * [progress]: simplifying candidates 2.979 * * * * [progress]: [ 1 / 98 ] simplifiying candidate # 2.979 * * * * [progress]: [ 2 / 98 ] simplifiying candidate # 2.979 * * * * [progress]: [ 3 / 98 ] simplifiying candidate # 2.979 * * * * [progress]: [ 4 / 98 ] simplifiying candidate # 2.979 * * * * [progress]: [ 5 / 98 ] simplifiying candidate # 2.979 * * * * [progress]: [ 6 / 98 ] simplifiying candidate # 2.979 * * * * [progress]: [ 7 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 8 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 9 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 10 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 11 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 12 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 13 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 14 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 2.980 * * * * [progress]: [ 15 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 16 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 17 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 18 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 19 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 20 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 21 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 22 / 98 ] simplifiying candidate # 2.980 * * * * [progress]: [ 23 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 24 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 25 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 26 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 27 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 28 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.981 * * * * [progress]: [ 29 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 30 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 31 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 32 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 33 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 34 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 35 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 36 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 37 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 38 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 39 / 98 ] simplifiying candidate # 2.981 * * * * [progress]: [ 40 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 41 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 42 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 43 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 44 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 45 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 46 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 47 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 48 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 49 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 50 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 51 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 52 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 53 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 54 / 98 ] simplifiying candidate # 2.982 * * * * [progress]: [ 55 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 56 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 57 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 58 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 59 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 60 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 61 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 62 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 63 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 64 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 65 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 66 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 67 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 68 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 69 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 70 / 98 ] simplifiying candidate # 2.983 * * * * [progress]: [ 71 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 72 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 73 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 74 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 75 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 76 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 77 / 98 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 2.984 * * * * [progress]: [ 78 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 79 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 80 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 81 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 82 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 83 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 84 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 85 / 98 ] simplifiying candidate # 2.984 * * * * [progress]: [ 86 / 98 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))> 2.984 * * * * [progress]: [ 87 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 88 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 89 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 90 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 91 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 92 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 93 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 94 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 95 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 96 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 97 / 98 ] simplifiying candidate # 2.985 * * * * [progress]: [ 98 / 98 ] simplifiying candidate # 2.987 * [simplify]: Simplifying: (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (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))))) (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1) (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* 1 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (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)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) 2.989 * * [simplify]: iteration 0: 65 enodes 3.019 * * [simplify]: iteration 1: 128 enodes 3.076 * * [simplify]: iteration 2: 247 enodes 3.133 * * [simplify]: iteration 3: 489 enodes 3.434 * * [simplify]: iteration 4: 1111 enodes 3.794 * * [simplify]: iteration 5: 2004 enodes 4.221 * * [simplify]: iteration complete: 2004 enodes 4.221 * * [simplify]: Extracting #0: cost 26 inf + 0 4.221 * * [simplify]: Extracting #1: cost 241 inf + 3 4.223 * * [simplify]: Extracting #2: cost 419 inf + 346 4.225 * * [simplify]: Extracting #3: cost 454 inf + 4677 4.236 * * [simplify]: Extracting #4: cost 288 inf + 83531 4.272 * * [simplify]: Extracting #5: cost 44 inf + 231730 4.328 * * [simplify]: Extracting #6: cost 0 inf + 263325 4.406 * [simplify]: Simplified to: (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) 1 (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1/2 (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (real->posit16 (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) 1 (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1/2 (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (real->posit16 (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) 1 1 2 1 1 (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) 2 (log (atan2 1 (+ (* (+ N 1) N) 1))) (log (atan2 1 (+ (* (+ N 1) N) 1))) (exp (atan2 1 (+ (* (+ N 1) N) 1))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))) (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1 (atan2 1 (+ (* (+ N 1) N) 1)) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1 (atan2 1 (+ (* (+ N 1) N) 1)) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1 2 1 (* (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (cbrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (atan2 1 (+ (* (+ N 1) N) 1)) (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (atan2 1 (+ (* (+ N 1) N) 1)) (real->posit16 (atan2 1 (+ (* (+ N 1) N) 1))) (log (atan2 1 (+ (* (+ N 1) N) 1))) (exp (atan2 1 (+ (* (+ N 1) N) 1))) (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (real->posit16 (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) 4.417 * * * [progress]: adding candidates to table 4.712 * * [progress]: iteration 4 / 4 4.712 * * * [progress]: picking best candidate 4.732 * * * * [pick]: Picked # 4.732 * * * [progress]: localizing error 4.762 * * * [progress]: generating rewritten candidates 4.762 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.763 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 4.764 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.765 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.810 * * * [progress]: generating series expansions 4.810 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.810 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.810 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 4.810 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.810 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.810 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.810 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.811 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.811 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.811 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.811 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.811 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.811 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.812 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.813 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.814 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.815 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.815 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 4.815 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.815 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.815 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.815 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.815 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.815 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.815 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.815 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.816 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.816 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.819 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.819 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 4.819 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.819 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.819 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.819 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.820 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.820 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.820 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.820 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.820 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.820 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.824 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.824 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.824 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 4.824 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.824 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.824 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.824 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.824 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.824 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.824 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.824 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.824 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.824 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.825 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.827 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.828 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.828 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 4.828 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.828 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.828 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.828 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.828 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.828 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.828 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.828 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.829 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.832 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.832 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 4.832 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.832 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.832 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.832 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.833 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.833 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.833 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.833 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.833 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.833 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.837 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.837 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.837 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 4.837 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.837 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.837 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.837 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.837 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.837 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.837 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.837 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.837 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.839 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.843 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.843 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 4.843 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.843 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.843 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.843 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.844 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.844 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.844 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.844 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.844 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.844 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.845 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.848 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.848 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 4.848 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.848 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.848 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.848 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.848 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.848 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.848 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.848 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.849 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.851 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.852 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.853 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.855 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.855 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.855 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 4.855 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.855 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.855 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.856 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.856 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.857 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.857 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 4.857 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.857 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.857 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.857 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.858 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.859 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.859 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 4.859 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.859 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.859 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.859 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.860 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.860 * * * [progress]: simplifying candidates 4.860 * * * * [progress]: [ 1 / 107 ] simplifiying candidate # 4.860 * * * * [progress]: [ 2 / 107 ] simplifiying candidate # 4.860 * * * * [progress]: [ 3 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 4 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 5 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 6 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 7 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 8 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 9 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 10 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 11 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 12 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 13 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 14 / 107 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 4.861 * * * * [progress]: [ 15 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 16 / 107 ] simplifiying candidate # 4.861 * * * * [progress]: [ 17 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 18 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 19 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 20 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 21 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 22 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 23 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 24 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 25 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 26 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 27 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 28 / 107 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> 4.862 * * * * [progress]: [ 29 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 30 / 107 ] simplifiying candidate # 4.862 * * * * [progress]: [ 31 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 32 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 33 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 34 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 35 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 36 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 37 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 38 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 39 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 40 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 41 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 42 / 107 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> 4.863 * * * * [progress]: [ 43 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 44 / 107 ] simplifiying candidate # 4.863 * * * * [progress]: [ 45 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 46 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 47 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 48 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 49 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 50 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 51 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 52 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 53 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 54 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 55 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 56 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 57 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 58 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 59 / 107 ] simplifiying candidate # 4.864 * * * * [progress]: [ 60 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 61 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 62 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 63 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 64 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 65 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 66 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 67 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 68 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 69 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 70 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 71 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 72 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 73 / 107 ] simplifiying candidate # 4.865 * * * * [progress]: [ 74 / 107 ] simplifiying candidate # 4.866 * * * * [progress]: [ 75 / 107 ] simplifiying candidate # 4.866 * * * * [progress]: [ 76 / 107 ] simplifiying candidate # 4.866 * * * * [progress]: [ 77 / 107 ] simplifiying candidate # 4.866 * * * * [progress]: [ 78 / 107 ] simplifiying candidate # 4.866 * * * * [progress]: [ 79 / 107 ] simplifiying candidate # 4.866 * * * * [progress]: [ 80 / 107 ] simplifiying candidate # 4.866 * * * * [progress]: [ 81 / 107 ] simplifiying candidate # 4.866 * * * * [progress]: [ 82 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 83 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 84 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 85 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 86 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 87 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 88 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 89 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 90 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 91 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 92 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 93 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 94 / 107 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 4.867 * * * * [progress]: [ 95 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 96 / 107 ] simplifiying candidate # 4.867 * * * * [progress]: [ 97 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 98 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 99 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 100 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 101 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 102 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 103 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 104 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 105 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 106 / 107 ] simplifiying candidate # 4.868 * * * * [progress]: [ 107 / 107 ] simplifiying candidate # 4.869 * [simplify]: Simplifying: (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (+ 1/2 1/2) 1) (+ (+ 1/2 (/ 1 2)) 1) (+ (+ (/ 1/2 2) (/ 1/2 2)) 1/2) (+ (+ (/ 1/2 2) (/ 1/2 2)) (/ 1 2)) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) 1/2) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (/ 1 2)) (+ (+ (/ 1 2) 1/2) 1) (+ (+ (/ 1 2) (/ 1 2)) 1) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) 1/2) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (/ 1 2)) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 1/2) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (/ 1 2)) (+ (* 2 1/2) 1) (+ (* 2 (/ 1/2 2)) 1/2) (+ (* 2 (/ 1/2 2)) (/ 1 2)) (+ (* 2 (/ 1 2)) 1) (+ (* 2 (/ (/ 1 2) 2)) 1/2) (+ (* 2 (/ (/ 1 2) 2)) (/ 1 2)) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (+ 1/2 1/2) 1) (+ (+ 1/2 (/ 1 2)) 1) (+ (+ (/ 1 2) 1/2) 1) (+ (+ (/ 1 2) (/ 1 2)) 1) (+ (* 2 1/2) 1) (+ (* 2 (/ 1 2)) 1) (+ (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (+ (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (exp (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 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(pow N 2) 1))) 4.871 * * [simplify]: iteration 0: 87 enodes 4.908 * * [simplify]: iteration 1: 188 enodes 4.964 * * [simplify]: iteration 2: 402 enodes 5.141 * * [simplify]: iteration 3: 845 enodes 5.374 * * [simplify]: iteration 4: 1189 enodes 5.761 * * [simplify]: iteration 5: 2003 enodes 5.982 * * [simplify]: iteration complete: 2003 enodes 5.982 * * [simplify]: Extracting #0: cost 24 inf + 0 5.983 * * [simplify]: Extracting #1: cost 144 inf + 3 5.985 * * [simplify]: Extracting #2: cost 285 inf + 91 5.987 * * [simplify]: Extracting #3: cost 304 inf + 929 5.992 * * [simplify]: Extracting #4: cost 258 inf + 10324 6.004 * * [simplify]: Extracting #5: cost 177 inf + 49653 6.024 * * [simplify]: Extracting #6: cost 56 inf + 123128 6.054 * * [simplify]: Extracting #7: cost 0 inf + 162978 6.082 * [simplify]: Simplified to: (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 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1) N) 1))) (* (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (fabs (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* (sqrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (real->posit16 (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)) 6.095 * * * [progress]: adding candidates to table 6.716 * [progress]: [Phase 3 of 3] Extracting. 6.716 * * [regime]: Finding splitpoints for: (# # # # # # #) 6.717 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1)) (atan N)) N) 6.717 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # #) 6.763 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 6.804 * * * [regime]: Found split indices: #