26.794 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.033 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.033 * * [simplify]: iteration 0: 6 enodes 0.034 * * [simplify]: iteration 1: 11 enodes 0.036 * * [simplify]: iteration 2: 12 enodes 0.037 * * [simplify]: iteration complete: 12 enodes 0.037 * * [simplify]: Extracting #0: cost 1 inf + 0 0.037 * * [simplify]: Extracting #1: cost 4 inf + 0 0.037 * * [simplify]: Extracting #2: cost 6 inf + 0 0.037 * * [simplify]: Extracting #3: cost 4 inf + 253 0.037 * * [simplify]: Extracting #4: cost 0 inf + 735 0.037 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.065 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.065 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.066 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.066 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.066 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.066 * [taylor]: Taking taylor expansion of (atan N) in N 0.066 * [backup-simplify]: Simplify (atan N) into (atan N) 0.066 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.066 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.066 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.066 * [taylor]: Taking taylor expansion of (atan N) in N 0.066 * [backup-simplify]: Simplify (atan N) into (atan N) 0.066 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.066 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.066 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.070 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.070 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.070 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.070 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.070 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.070 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.070 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.070 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.070 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.070 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.071 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.071 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.074 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.074 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.074 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.074 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.074 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.074 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.074 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.074 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.074 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.074 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.074 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.074 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.078 * * * [progress]: simplifying candidates 0.078 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.078 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 0.078 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 0.079 * [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)) 0.079 * * [simplify]: iteration 0: 36 enodes 0.090 * * [simplify]: iteration 1: 73 enodes 0.116 * * [simplify]: iteration 2: 147 enodes 0.161 * * [simplify]: iteration 3: 307 enodes 0.268 * * [simplify]: iteration 4: 692 enodes 0.580 * * [simplify]: iteration 5: 1968 enodes 1.201 * * [simplify]: iteration complete: 5000 enodes 1.201 * * [simplify]: Extracting #0: cost 17 inf + 0 1.202 * * [simplify]: Extracting #1: cost 287 inf + 1 1.205 * * [simplify]: Extracting #2: cost 1098 inf + 337 1.215 * * [simplify]: Extracting #3: cost 1252 inf + 56770 1.285 * * [simplify]: Extracting #4: cost 455 inf + 284482 1.392 * * [simplify]: Extracting #5: cost 195 inf + 435602 1.493 * * [simplify]: Extracting #6: cost 168 inf + 490472 1.579 * * [simplify]: Extracting #7: cost 34 inf + 538806 1.686 * * [simplify]: Extracting #8: cost 0 inf + 555557 1.806 * [simplify]: Simplified to: 1 (+ 1 (+ (* N N) N)) (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)) (+ (atan N) (atan (+ N 1)))) (+ (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)) 1.807 * * * [progress]: adding candidates to table 1.898 * * [progress]: iteration 2 / 4 1.898 * * * [progress]: picking best candidate 1.902 * * * * [pick]: Picked # 1.904 * * * [progress]: localizing error 1.926 * * * [progress]: generating rewritten candidates 1.926 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.926 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 1.955 * * * [progress]: generating series expansions 1.955 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.955 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.955 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1.955 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.955 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.955 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.955 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.955 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.955 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.956 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1.956 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.956 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.956 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.956 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.956 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.956 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.956 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1.956 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.956 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.956 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.957 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.957 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.957 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.957 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1.957 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1.957 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.957 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.957 * [taylor]: Taking taylor expansion of N in N 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of 1 in N 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of N in N 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 1.957 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.957 * [taylor]: Taking taylor expansion of N in N 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of 1 in N 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of N in N 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (+ 0 1) into 1 1.958 * [backup-simplify]: Simplify (* 1 0) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (+ 1 0) into 1 1.959 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1.967 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1.967 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1.967 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.967 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.967 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.967 * [taylor]: Taking taylor expansion of N in N 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [taylor]: Taking taylor expansion of 1 in N 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [taylor]: Taking taylor expansion of N in N 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (+ 1 0) into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.968 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.968 * [taylor]: Taking taylor expansion of N in N 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of 1 in N 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [taylor]: Taking taylor expansion of N in N 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (+ 1 0) into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 1) into 1 1.971 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.971 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [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 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [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 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [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 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1.980 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1.980 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1.980 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.980 * [taylor]: Taking taylor expansion of -1 in N 1.980 * [backup-simplify]: Simplify -1 into -1 1.980 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.980 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.980 * [taylor]: Taking taylor expansion of 1 in N 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.980 * [taylor]: Taking taylor expansion of N in N 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of N in N 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (- 1) into -1 1.981 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.981 * [backup-simplify]: Simplify (/ -1 1) into -1 1.981 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1.981 * [taylor]: Taking taylor expansion of -1 in N 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1.981 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.981 * [taylor]: Taking taylor expansion of 1 in N 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.981 * [taylor]: Taking taylor expansion of N in N 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [taylor]: Taking taylor expansion of N in N 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (- 1) into -1 1.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.982 * [backup-simplify]: Simplify (/ -1 1) into -1 1.983 * [backup-simplify]: Simplify (* -1 -1) into 1 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 1 0) into 1 1.984 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1.985 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.985 * [backup-simplify]: Simplify -1 into -1 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [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 1.997 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [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 1.998 * [backup-simplify]: Simplify (- 0) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 2.001 * * * [progress]: simplifying candidates 2.001 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 2.001 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 2.001 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 2.002 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 2.002 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 2.002 * [simplify]: Simplifying: (log (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))) (* (+ N 1) N) (+ (log (+ N 1)) (log N)) (log (* (+ N 1) N)) (exp (* (+ N 1) N)) (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N)) (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N)) (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)) (* (+ N 1) (* (cbrt N) (cbrt N))) (* (+ N 1) (sqrt N)) (* (+ N 1) 1) (* (cbrt (+ N 1)) N) (* (sqrt (+ N 1)) N) (* (+ N 1) N) (* (+ N 1) N) (* (+ (pow N 3) (pow 1 3)) N) (* (- (* N N) (* 1 1)) N) (real->posit16 (* (+ N 1) N)) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))) (+ N (pow N 2)) (+ N (pow N 2)) (+ N (pow N 2)) 2.003 * * [simplify]: iteration 0: 55 enodes 2.014 * * [simplify]: iteration 1: 121 enodes 2.060 * * [simplify]: iteration 2: 266 enodes 2.211 * * [simplify]: iteration 3: 706 enodes 2.935 * * [simplify]: iteration 4: 2728 enodes 4.283 * * [simplify]: iteration complete: 5008 enodes 4.284 * * [simplify]: Extracting #0: cost 25 inf + 0 4.285 * * [simplify]: Extracting #1: cost 369 inf + 0 4.292 * * [simplify]: Extracting #2: cost 1238 inf + 5618 4.312 * * [simplify]: Extracting #3: cost 1185 inf + 80716 4.368 * * [simplify]: Extracting #4: cost 386 inf + 267801 4.473 * * [simplify]: Extracting #5: cost 29 inf + 379578 4.558 * * [simplify]: Extracting #6: cost 3 inf + 388627 4.617 * * [simplify]: Extracting #7: cost 0 inf + 389508 4.679 * [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))) (* (* (+ 1 N) (cbrt N)) (cbrt 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) 1) N) (real->posit16 (* (+ 1 N) N)) (atan2 1 (+ (+ 1 N) (* N N))) (atan2 1 (+ (+ 1 N) (* N N))) (atan2 1 (+ (+ 1 N) (* N N))) (+ N (* N N)) (+ N (* N N)) (+ N (* N N)) 4.681 * * * [progress]: adding candidates to table 4.798 * * [progress]: iteration 3 / 4 4.798 * * * [progress]: picking best candidate 4.819 * * * * [pick]: Picked # 4.819 * * * [progress]: localizing error 4.839 * * * [progress]: generating rewritten candidates 4.840 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.840 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.854 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.856 * * * [progress]: generating series expansions 4.856 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.857 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.857 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 4.857 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.857 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.857 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.857 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.857 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.857 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.857 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.858 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.859 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.861 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.863 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 4.863 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.863 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.863 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.863 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.863 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.863 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.864 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.867 * [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 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.867 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.868 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 4.868 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.868 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.868 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.868 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.868 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.868 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.868 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.868 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.868 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.868 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.869 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.871 * [backup-simplify]: Simplify 0 into 0 4.872 * [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 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.872 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.872 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.872 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 4.872 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.872 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.872 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.872 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.872 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 4.872 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.872 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.873 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.873 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.876 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.876 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 4.876 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.876 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.876 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.876 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.877 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 4.877 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.877 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.877 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.877 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 4.877 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.878 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.879 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [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 4.880 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.881 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.881 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 4.881 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.881 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.881 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.881 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.881 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 4.881 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.881 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.881 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.882 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.882 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 4.884 * [backup-simplify]: Simplify 0 into 0 4.885 * [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 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 4.885 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.885 * [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))) 4.885 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 4.885 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.885 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.885 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.885 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.886 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.886 * [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))) 4.886 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 4.886 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.886 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.886 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.886 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.886 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.887 * [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))) 4.887 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 4.887 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.887 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.887 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.887 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.887 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.888 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.888 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.888 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 4.888 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.888 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.888 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 4.888 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.888 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.888 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.888 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 4.889 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.889 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.889 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 4.889 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.889 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.889 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.889 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 4.889 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.890 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.890 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 4.890 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.890 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 4.890 * * * [progress]: simplifying candidates 4.890 * * * * [progress]: [ 1 / 98 ] simplifiying candidate # 4.890 * * * * [progress]: [ 2 / 98 ] simplifiying candidate # 4.890 * * * * [progress]: [ 3 / 98 ] simplifiying candidate # 4.890 * * * * [progress]: [ 4 / 98 ] simplifiying candidate # 4.890 * * * * [progress]: [ 5 / 98 ] simplifiying candidate # 4.890 * * * * [progress]: [ 6 / 98 ] simplifiying candidate # 4.890 * * * * [progress]: [ 7 / 98 ] simplifiying candidate # 4.890 * * * * [progress]: [ 8 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 9 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 10 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 11 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 12 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 13 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 14 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 4.891 * * * * [progress]: [ 15 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 16 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 17 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 18 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 19 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 20 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 21 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 22 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 23 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 24 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 25 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 26 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 27 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 28 / 98 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> 4.891 * * * * [progress]: [ 29 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 30 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 31 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 32 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 33 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 34 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 35 / 98 ] simplifiying candidate # 4.891 * * * * [progress]: [ 36 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 37 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 38 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 39 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 40 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 41 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 42 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 43 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 44 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 45 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 46 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 47 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 48 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 49 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 50 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 51 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 52 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 53 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 54 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 55 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 56 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 57 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 58 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 59 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 60 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 61 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 62 / 98 ] simplifiying candidate # 4.892 * * * * [progress]: [ 63 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 64 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 65 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 66 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 67 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 68 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 69 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 70 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 71 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 72 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 73 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 74 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 75 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 76 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 77 / 98 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 4.893 * * * * [progress]: [ 78 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 79 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 80 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 81 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 82 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 83 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 84 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 85 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 86 / 98 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))> 4.893 * * * * [progress]: [ 87 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 88 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 89 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 90 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 91 / 98 ] simplifiying candidate # 4.893 * * * * [progress]: [ 92 / 98 ] simplifiying candidate # 4.894 * * * * [progress]: [ 93 / 98 ] simplifiying candidate # 4.894 * * * * [progress]: [ 94 / 98 ] simplifiying candidate # 4.894 * * * * [progress]: [ 95 / 98 ] simplifiying candidate # 4.894 * * * * [progress]: [ 96 / 98 ] simplifiying candidate # 4.894 * * * * [progress]: [ 97 / 98 ] simplifiying candidate # 4.894 * * * * [progress]: [ 98 / 98 ] simplifiying candidate # 4.895 * [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))) 4.896 * * [simplify]: iteration 0: 65 enodes 4.911 * * [simplify]: iteration 1: 128 enodes 4.941 * * [simplify]: iteration 2: 247 enodes 5.001 * * [simplify]: iteration 3: 489 enodes 5.277 * * [simplify]: iteration 4: 1111 enodes 6.919 * * [simplify]: iteration 5: 4453 enodes 8.226 * * [simplify]: iteration complete: 5003 enodes 8.226 * * [simplify]: Extracting #0: cost 24 inf + 0 8.227 * * [simplify]: Extracting #1: cost 379 inf + 3 8.232 * * [simplify]: Extracting #2: cost 711 inf + 180 8.241 * * [simplify]: Extracting #3: cost 687 inf + 16338 8.265 * * [simplify]: Extracting #4: cost 466 inf + 122308 8.334 * * [simplify]: Extracting #5: cost 118 inf + 346052 8.434 * * [simplify]: Extracting #6: cost 2 inf + 429876 8.534 * * [simplify]: Extracting #7: cost 0 inf + 431015 8.635 * [simplify]: Simplified to: (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (exp (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (cbrt (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 (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 (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))) (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 (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 (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (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)) 8.640 * * * [progress]: adding candidates to table 8.847 * * [progress]: iteration 4 / 4 8.847 * * * [progress]: picking best candidate 8.870 * * * * [pick]: Picked # 8.870 * * * [progress]: localizing error 8.900 * * * [progress]: generating rewritten candidates 8.900 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.901 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 8.902 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 8.903 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.937 * * * [progress]: generating series expansions 8.937 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.937 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.937 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 8.937 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 8.937 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.938 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.938 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.938 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 8.938 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.938 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.938 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.938 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.938 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.939 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.940 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.942 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.942 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 8.942 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 8.942 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.942 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.942 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.942 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 8.942 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.942 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.943 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.943 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.943 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.944 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.946 * [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 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.946 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.946 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 8.946 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 8.946 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 8.946 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.947 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.947 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 8.947 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 8.947 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.947 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.947 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.947 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.949 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [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 8.950 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.951 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 8.951 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.951 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 8.951 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 8.951 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.951 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.951 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.951 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 8.951 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.951 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.951 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.952 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.953 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.954 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.955 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.955 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 8.955 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 8.955 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.956 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.956 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.956 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 8.956 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.956 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.956 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.956 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.956 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.957 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.958 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [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 8.959 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.960 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.960 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 8.960 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 8.960 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 8.960 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.960 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.960 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 8.960 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 8.960 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.960 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.961 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.961 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.964 * [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 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.964 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 8.964 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.964 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 8.964 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 8.964 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.964 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.964 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.965 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 8.965 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.965 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.965 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.965 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.965 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.966 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.967 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.969 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.969 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 8.969 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 8.969 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.969 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.969 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.969 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 8.969 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.969 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.969 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.969 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 8.970 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.970 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.971 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 8.972 * [backup-simplify]: Simplify 0 into 0 8.973 * [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 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.973 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.973 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 8.973 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 8.973 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 8.973 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.973 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.973 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 8.973 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 8.974 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.974 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.974 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 8.974 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 8.976 * [backup-simplify]: Simplify 0 into 0 8.977 * [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 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 8.977 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.978 * [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))) 8.978 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 8.978 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.978 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.978 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 8.978 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.978 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.979 * [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))) 8.979 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 8.979 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.979 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.979 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 8.979 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.979 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.980 * [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))) 8.980 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 8.980 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 8.980 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.980 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 8.980 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.980 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 8.980 * * * [progress]: simplifying candidates 8.980 * * * * [progress]: [ 1 / 107 ] simplifiying candidate # 8.980 * * * * [progress]: [ 2 / 107 ] simplifiying candidate # 8.980 * * * * [progress]: [ 3 / 107 ] simplifiying candidate # 8.980 * * * * [progress]: [ 4 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 5 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 6 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 7 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 8 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 9 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 10 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 11 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 12 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 13 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 14 / 107 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 8.981 * * * * [progress]: [ 15 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 16 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 17 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 18 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 19 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 20 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 21 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 22 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 23 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 24 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 25 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 26 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 27 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 28 / 107 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> 8.981 * * * * [progress]: [ 29 / 107 ] simplifiying candidate # 8.981 * * * * [progress]: [ 30 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 31 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 32 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 33 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 34 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 35 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 36 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 37 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 38 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 39 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 40 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 41 / 107 ] simplifiying candidate # 8.982 * * * * [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))))))> 8.982 * * * * [progress]: [ 43 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 44 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 45 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 46 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 47 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 48 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 49 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 50 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 51 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 52 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 53 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 54 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 55 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 56 / 107 ] simplifiying candidate # 8.982 * * * * [progress]: [ 57 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 58 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 59 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 60 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 61 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 62 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 63 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 64 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 65 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 66 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 67 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 68 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 69 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 70 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 71 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 72 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 73 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 74 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 75 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 76 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 77 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 78 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 79 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 80 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 81 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 82 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 83 / 107 ] simplifiying candidate # 8.983 * * * * [progress]: [ 84 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 85 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 86 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 87 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 88 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 89 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 90 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 91 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 92 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 93 / 107 ] simplifiying candidate # 8.984 * * * * [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))))))))> 8.984 * * * * [progress]: [ 95 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 96 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 97 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 98 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 99 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 100 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 101 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 102 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 103 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 104 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 105 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 106 / 107 ] simplifiying candidate # 8.984 * * * * [progress]: [ 107 / 107 ] simplifiying candidate # 8.985 * [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 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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) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (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)))))) (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)))) (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))) 8.987 * * [simplify]: iteration 0: 87 enodes 9.027 * * [simplify]: iteration 1: 188 enodes 9.054 * * [simplify]: iteration 2: 402 enodes 9.178 * * [simplify]: iteration 3: 845 enodes 9.331 * * [simplify]: iteration 4: 1189 enodes 9.733 * * [simplify]: iteration 5: 2183 enodes 10.602 * * [simplify]: iteration complete: 5003 enodes 10.602 * * [simplify]: Extracting #0: cost 24 inf + 0 10.604 * * [simplify]: Extracting #1: cost 481 inf + 3 10.608 * * [simplify]: Extracting #2: cost 992 inf + 467 10.613 * * [simplify]: Extracting #3: cost 1133 inf + 2151 10.618 * * [simplify]: Extracting #4: cost 1091 inf + 5454 10.624 * * [simplify]: Extracting #5: cost 1071 inf + 11823 10.633 * * [simplify]: Extracting #6: cost 984 inf + 45915 10.672 * * [simplify]: Extracting #7: cost 568 inf + 288299 10.773 * * [simplify]: Extracting #8: cost 68 inf + 667312 10.900 * * [simplify]: Extracting #9: cost 0 inf + 726569 11.026 * * [simplify]: Extracting #10: cost 0 inf + 726046 11.151 * [simplify]: Simplified to: (log (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (exp (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (* (cbrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ 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1))) (atan2 1 (+ N (+ (* N N) 1))) 11.158 * * * [progress]: adding candidates to table 11.396 * [progress]: [Phase 3 of 3] Extracting. 11.397 * * [regime]: Finding splitpoints for: (# # # # # #) 11.398 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.398 * * * * [regimes]: Trying to branch on N from (# # # # # #) 11.430 * * * [regime]: Found split indices: #