0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.072 * * * [progress]: [2/2] Setting up program. 0.076 * [progress]: [Phase 2 of 3] Improving. 0.076 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.076 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.076 * * [simplify]: iteration 1: (6 enodes) 0.078 * * [simplify]: iteration 2: (23 enodes) 0.082 * * [simplify]: iteration 3: (28 enodes) 0.086 * * [simplify]: Extracting #0: cost 1 inf + 0 0.086 * * [simplify]: Extracting #1: cost 5 inf + 0 0.086 * * [simplify]: Extracting #2: cost 10 inf + 0 0.086 * * [simplify]: Extracting #3: cost 11 inf + 1 0.086 * * [simplify]: Extracting #4: cost 6 inf + 298 0.086 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.086 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.086 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.089 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.091 * * * [progress]: localizing error 0.101 * * * [progress]: generating rewritten candidates 0.101 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.106 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.106 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.106 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.106 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.106 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.106 * [taylor]: Taking taylor expansion of (atan N) in N 0.106 * [backup-simplify]: Simplify (atan N) into (atan N) 0.106 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.106 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.107 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.107 * [taylor]: Taking taylor expansion of (atan N) in N 0.107 * [backup-simplify]: Simplify (atan N) into (atan N) 0.107 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.107 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.107 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.111 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.111 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.111 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.111 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.111 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.111 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.111 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.111 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.111 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.115 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.115 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.115 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.115 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.115 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.115 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.115 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.115 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.115 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.115 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.115 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.115 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.115 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.115 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.115 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.119 * * * [progress]: simplifying candidates 0.119 * * * * [progress]: [ 1 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 2 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 3 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 4 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 5 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 6 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 7 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 8 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 9 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 10 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 11 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 12 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 13 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 14 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 15 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 16 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 17 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 18 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 19 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 20 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 21 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 22 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 23 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 24 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 25 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 26 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 27 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 28 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 29 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.120 * * * * [progress]: [ 31 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 32 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 33 / 33 ] simplifiying candidate # 0.120 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1)) (atan N))) (log1p (- (atan (+ N 1)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ 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)) 0.121 * * [simplify]: iteration 1: (62 enodes) 0.144 * * [simplify]: iteration 2: (241 enodes) 0.229 * * [simplify]: iteration 3: (424 enodes) 0.368 * * [simplify]: iteration 4: (881 enodes) 0.947 * * [simplify]: Extracting #0: cost 20 inf + 0 0.948 * * [simplify]: Extracting #1: cost 135 inf + 2 0.951 * * [simplify]: Extracting #2: cost 426 inf + 1976 0.959 * * [simplify]: Extracting #3: cost 411 inf + 43755 0.979 * * [simplify]: Extracting #4: cost 80 inf + 185649 1.007 * * [simplify]: Extracting #5: cost 7 inf + 221651 1.055 * * [simplify]: Extracting #6: cost 0 inf + 225009 1.107 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (expm1 (- (atan (+ 1 N)) (atan N))) (log1p (- (atan (+ 1 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1 (fma N (+ 1 N) 1) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (* (* (atan N) (atan N)) (atan N))) (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N)) (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) 1.111 * * * [progress]: adding candidates to table 1.401 * * [progress]: iteration 2 / 4 1.401 * * * [progress]: picking best candidate 1.404 * * * * [pick]: Picked # 1.405 * * * [progress]: localizing error 1.424 * * * [progress]: generating rewritten candidates 1.424 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.424 * * * [progress]: generating series expansions 1.424 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.425 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.425 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 1.425 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.425 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.425 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.425 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.425 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.426 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.426 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 1.426 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.426 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.426 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.426 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.426 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.427 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.427 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 1.427 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.427 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.427 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.427 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.428 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.428 * * * [progress]: simplifying candidates 1.428 * * * * [progress]: [ 1 / 13 ] simplifiying candidate # 1.428 * * * * [progress]: [ 2 / 13 ] simplifiying candidate # 1.428 * * * * [progress]: [ 3 / 13 ] simplifiying candidate # 1.428 * * * * [progress]: [ 4 / 13 ] simplifiying candidate # 1.428 * * * * [progress]: [ 5 / 13 ] simplifiying candidate # 1.428 * * * * [progress]: [ 6 / 13 ] simplifiying candidate # 1.428 * * * * [progress]: [ 7 / 13 ] simplifiying candidate # 1.429 * * * * [progress]: [ 8 / 13 ] simplifiying candidate # 1.429 * * * * [progress]: [ 9 / 13 ] simplifiying candidate # 1.429 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))> 1.429 * * * * [progress]: [ 11 / 13 ] simplifiying candidate # 1.429 * * * * [progress]: [ 12 / 13 ] simplifiying candidate # 1.429 * * * * [progress]: [ 13 / 13 ] simplifiying candidate # 1.429 * [simplify]: Simplifying: (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 1.430 * * [simplify]: iteration 1: (18 enodes) 1.443 * * [simplify]: iteration 2: (58 enodes) 1.458 * * [simplify]: iteration 3: (74 enodes) 1.478 * * [simplify]: iteration 4: (88 enodes) 1.501 * * [simplify]: iteration 5: (108 enodes) 1.531 * * [simplify]: iteration 6: (141 enodes) 1.570 * * [simplify]: iteration 7: (192 enodes) 1.626 * * [simplify]: iteration 8: (294 enodes) 1.704 * * [simplify]: iteration 9: (569 enodes) 2.033 * * [simplify]: iteration 10: (1511 enodes) 6.321 * * [simplify]: Extracting #0: cost 10 inf + 0 6.322 * * [simplify]: Extracting #1: cost 168 inf + 0 6.328 * * [simplify]: Extracting #2: cost 969 inf + 4 6.337 * * [simplify]: Extracting #3: cost 978 inf + 17 6.347 * * [simplify]: Extracting #4: cost 970 inf + 450 6.370 * * [simplify]: Extracting #5: cost 838 inf + 109931 6.481 * * [simplify]: Extracting #6: cost 194 inf + 807012 6.640 * * [simplify]: Extracting #7: cost 6 inf + 988621 6.791 * * [simplify]: Extracting #8: cost 0 inf + 991405 6.999 * * [simplify]: Extracting #9: cost 0 inf + 990277 7.178 * [simplify]: Simplified to: (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 7.179 * * * [progress]: adding candidates to table 7.259 * * [progress]: iteration 3 / 4 7.259 * * * [progress]: picking best candidate 7.268 * * * * [pick]: Picked # 7.268 * * * [progress]: localizing error 7.283 * * * [progress]: generating rewritten candidates 7.283 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.284 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.285 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.295 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.301 * * * [progress]: generating series expansions 7.301 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.301 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.301 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 7.301 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 7.301 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 7.301 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.301 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.301 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 7.301 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 7.301 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.301 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.302 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.302 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.303 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.303 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.304 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.304 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.305 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 7.305 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 7.305 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.305 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.305 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.305 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 7.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.306 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.306 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.306 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.306 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 7.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.306 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 7.306 * [backup-simplify]: Simplify 0 into 0 7.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.307 * [backup-simplify]: Simplify 0 into 0 7.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.307 * [backup-simplify]: Simplify 0 into 0 7.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.311 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 7.311 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 7.311 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.311 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.311 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.312 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 7.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.312 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.312 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.312 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.312 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 7.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.313 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 7.313 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.314 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.315 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.316 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.317 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.317 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.317 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 7.317 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 7.317 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 7.317 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.318 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.318 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 7.318 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 7.318 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.318 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.318 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.318 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.320 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.321 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 7.321 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 7.321 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.321 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.321 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.321 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 7.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.321 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 7.321 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.321 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.322 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 7.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.322 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.325 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 7.325 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 7.325 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.325 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.325 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.325 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 7.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.325 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 7.325 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.326 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.326 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 7.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.326 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 7.329 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.329 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ N 1) 1)) 7.329 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 7.329 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 7.329 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.329 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 7.329 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.329 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.330 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.330 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 7.330 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.330 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.330 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.330 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.330 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.331 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.331 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 7.331 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.331 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.331 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.331 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.331 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.331 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.331 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.331 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 7.331 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 7.331 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.331 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 7.331 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.332 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.332 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.332 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 7.332 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.332 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.332 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 7.332 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.332 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.332 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.332 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 7.333 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.333 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.333 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 7.333 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.333 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 7.333 * * * [progress]: simplifying candidates 7.333 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 7.333 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 7.334 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 7.334 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 7.334 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 7.335 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 7.336 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 7.336 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))))> 7.336 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 7.337 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 7.338 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (log1p (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (+ 1 1) (+ (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (log (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (exp (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* 1 1) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt 1)) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 1) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 7.339 * * [simplify]: iteration 1: (69 enodes) 7.378 * * [simplify]: iteration 2: (211 enodes) 7.417 * * [simplify]: iteration 3: (295 enodes) 7.471 * * [simplify]: iteration 4: (493 enodes) 7.633 * * [simplify]: iteration 5: (938 enodes) 9.102 * * [simplify]: Extracting #0: cost 30 inf + 0 9.102 * * [simplify]: Extracting #1: cost 232 inf + 3 9.105 * * [simplify]: Extracting #2: cost 706 inf + 11 9.110 * * [simplify]: Extracting #3: cost 701 inf + 6150 9.128 * * [simplify]: Extracting #4: cost 498 inf + 109073 9.196 * * [simplify]: Extracting #5: cost 93 inf + 385034 9.310 * * [simplify]: Extracting #6: cost 0 inf + 462226 9.398 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log (sqrt (atan2 1 (fma N (+ N 1) 1)))) (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (atan2 1 (fma N (+ N 1) 1)) (sqrt (atan2 1 (fma N (+ N 1) 1)))) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 1 (sqrt (atan2 1 (fma N (+ N 1) 1))) 1/2 (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log (sqrt (atan2 1 (fma N (+ N 1) 1)))) (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (atan2 1 (fma N (+ N 1) 1)) (sqrt (atan2 1 (fma N (+ N 1) 1)))) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 1 (sqrt (atan2 1 (fma N (+ N 1) 1))) 1/2 (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) 1 1 2 1 1 (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) 2 (log (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (atan2 1 (fma N (+ N 1) 1)) (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (atan2 1 (fma N (+ N 1) 1)) (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)))) (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) 1 (atan2 1 (fma N (+ N 1) 1)) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) 1 (atan2 1 (fma N (+ N 1) 1)) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) 1 2 1 (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))))) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1))))) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (atan2 1 (fma N (+ N 1) 1)) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (atan2 1 (fma N (+ N 1) 1)) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (atan2 1 (fma N (+ N 1) 1)) (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 9.403 * * * [progress]: adding candidates to table 10.194 * * [progress]: iteration 4 / 4 10.194 * * * [progress]: picking best candidate 10.207 * * * * [pick]: Picked # 10.207 * * * [progress]: localizing error 10.228 * * * [progress]: generating rewritten candidates 10.229 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 10.230 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 10.231 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 10.232 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 10.232 * * * [progress]: generating series expansions 10.232 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 10.233 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.233 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 10.233 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 10.233 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 10.233 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.233 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.233 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 10.233 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 10.233 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.233 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.233 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.233 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.234 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.235 * [backup-simplify]: Simplify 0 into 0 10.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.236 * [backup-simplify]: Simplify 0 into 0 10.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.237 * [backup-simplify]: Simplify 0 into 0 10.237 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.237 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.237 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 10.237 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 10.237 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 10.237 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.237 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.237 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 10.237 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 10.237 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.237 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.237 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.238 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.238 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.239 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.240 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.241 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.241 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 10.241 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 10.241 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 10.241 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.241 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.241 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 10.241 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 10.241 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.241 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.242 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.242 * [backup-simplify]: Simplify 0 into 0 10.242 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.242 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.244 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.245 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 10.245 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.245 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 10.245 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 10.245 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 10.245 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.245 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.245 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 10.245 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 10.245 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.245 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.246 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.246 * [backup-simplify]: Simplify 0 into 0 10.246 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.246 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.247 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.249 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.249 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 10.249 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 10.249 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 10.249 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.249 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.249 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 10.249 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 10.249 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.249 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.249 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.251 * [backup-simplify]: Simplify 0 into 0 10.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.252 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.253 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.253 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 10.253 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 10.253 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 10.253 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.254 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.254 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 10.254 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 10.254 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.254 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.254 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.254 * [backup-simplify]: Simplify 0 into 0 10.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.255 * [backup-simplify]: Simplify 0 into 0 10.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.255 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.257 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.259 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.264 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 10.264 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.264 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 10.264 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 10.264 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 10.264 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.264 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.265 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 10.265 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 10.265 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.265 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.265 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.266 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.267 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.268 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.269 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 10.271 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.271 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.271 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 10.271 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 10.271 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 10.271 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.272 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.272 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 10.272 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 10.272 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.272 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.272 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 10.272 * [backup-simplify]: Simplify 0 into 0 10.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.273 * [backup-simplify]: Simplify 0 into 0 10.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.273 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.274 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.275 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 10.275 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.275 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.275 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 10.275 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 10.276 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 10.276 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.276 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.276 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 10.276 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 10.276 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.276 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.276 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 10.276 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.277 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.277 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.278 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 10.279 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 10.280 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.280 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 10.280 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 10.280 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.280 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 10.280 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.280 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.280 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.280 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 10.280 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 10.280 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.280 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 10.280 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.280 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.281 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.281 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 10.281 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 10.281 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.281 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 10.281 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.281 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 10.281 * * * [progress]: simplifying candidates 10.281 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 10.281 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 16 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))))))> 10.282 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 10.282 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 32 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))))> 10.283 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 48 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))))> 10.283 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 10.283 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1))))))))> 10.284 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 10.284 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 10.285 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 10.286 * * [simplify]: iteration 1: (34 enodes) 10.294 * * [simplify]: iteration 2: (107 enodes) 10.309 * * [simplify]: iteration 3: (134 enodes) 10.335 * * [simplify]: iteration 4: (164 enodes) 10.377 * * [simplify]: iteration 5: (221 enodes) 10.421 * * [simplify]: iteration 6: (370 enodes) 10.520 * * [simplify]: iteration 7: (672 enodes) 10.752 * * [simplify]: iteration 8: (1660 enodes) 13.337 * * [simplify]: Extracting #0: cost 23 inf + 0 13.337 * * [simplify]: Extracting #1: cost 277 inf + 2 13.342 * * [simplify]: Extracting #2: cost 1167 inf + 7 13.347 * * [simplify]: Extracting #3: cost 1180 inf + 25 13.353 * * [simplify]: Extracting #4: cost 1169 inf + 614 13.361 * * [simplify]: Extracting #5: cost 1125 inf + 23423 13.391 * * [simplify]: Extracting #6: cost 827 inf + 201761 13.481 * * [simplify]: Extracting #7: cost 150 inf + 739203 13.603 * * [simplify]: Extracting #8: cost 25 inf + 855260 13.729 * * [simplify]: Extracting #9: cost 0 inf + 882845 13.856 * * [simplify]: Extracting #10: cost 0 inf + 881261 13.983 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log (sqrt (atan2 1 (fma N (+ N 1) 1)))) (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (atan2 1 (fma N (+ N 1) 1)) (sqrt (atan2 1 (fma N (+ N 1) 1)))) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 1 (sqrt (atan2 1 (fma N (+ N 1) 1))) 1/2 (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log (sqrt (atan2 1 (fma N (+ N 1) 1)))) (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (atan2 1 (fma N (+ N 1) 1)) (sqrt (atan2 1 (fma N (+ N 1) 1)))) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 1 (sqrt (atan2 1 (fma N (+ N 1) 1))) 1/2 (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))) (log (sqrt (atan2 1 (fma N (+ N 1) 1)))) (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (* (atan2 1 (fma N (+ N 1) 1)) (sqrt (atan2 1 (fma N (+ N 1) 1)))) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 1 (sqrt (atan2 1 (fma N (+ N 1) 1))) 1/2 (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (atan2 1 (fma N (+ N 1) 1)) (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 13.988 * * * [progress]: adding candidates to table 14.542 * [progress]: [Phase 3 of 3] Extracting. 14.542 * * [regime]: Finding splitpoints for: (# # # # # #) 14.542 * * * [regime-changes]: Trying 1 branch expressions: (N) 14.542 * * * * [regimes]: Trying to branch on N from (# # # # # #) 14.575 * * * [regime]: Found split indices: #