0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.052 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.052 * * [simplify]: iteration 1: (6 enodes) 0.054 * * [simplify]: iteration 2: (23 enodes) 0.057 * * [simplify]: iteration 3: (28 enodes) 0.063 * * [simplify]: Extracting #0: cost 1 inf + 0 0.063 * * [simplify]: Extracting #1: cost 5 inf + 0 0.063 * * [simplify]: Extracting #2: cost 10 inf + 0 0.063 * * [simplify]: Extracting #3: cost 11 inf + 1 0.063 * * [simplify]: Extracting #4: cost 6 inf + 298 0.063 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.063 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.064 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.069 * * [progress]: iteration 1 / 4 0.069 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.094 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.096 * * * [progress]: generating series expansions 0.096 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.096 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.096 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.096 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.096 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.108 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.108 * [taylor]: Taking taylor expansion of (atan N) in N 0.108 * [backup-simplify]: Simplify (atan N) into (atan N) 0.108 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.108 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.108 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.108 * [taylor]: Taking taylor expansion of (atan N) in N 0.108 * [backup-simplify]: Simplify (atan N) into (atan N) 0.108 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.108 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.108 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 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 0.109 * [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 (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 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 (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.112 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.112 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.112 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.112 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.112 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.112 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.112 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.112 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.112 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.112 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.112 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.112 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.112 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.112 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.112 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 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 0.113 * [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 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [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 0.116 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.116 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.116 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.116 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.116 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.116 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.116 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.116 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.116 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.116 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.117 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.117 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.117 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.117 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.117 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.117 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 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 (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.120 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.120 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.120 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.120 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.120 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.120 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.120 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.120 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.121 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.121 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.121 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.121 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.121 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.121 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.121 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.121 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.121 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.121 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.121 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.121 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.121 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.121 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.122 * * * [progress]: simplifying candidates 0.122 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 17 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 22 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 0.122 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.123 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 39 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.123 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 0.123 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 0.124 * [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))) (expm1 (atan (+ N 1))) (log1p (atan (+ N 1))) (log (atan (+ N 1))) (exp (atan (+ N 1))) (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (real->posit16 (atan (+ N 1))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (atan (+ N 1)) (atan (+ N 1)) 0.124 * * [simplify]: iteration 1: (67 enodes) 0.139 * * [simplify]: iteration 2: (248 enodes) 0.188 * * [simplify]: iteration 3: (425 enodes) 0.299 * * [simplify]: iteration 4: (854 enodes) 0.896 * * [simplify]: Extracting #0: cost 30 inf + 0 0.897 * * [simplify]: Extracting #1: cost 173 inf + 1 0.901 * * [simplify]: Extracting #2: cost 480 inf + 677 0.910 * * [simplify]: Extracting #3: cost 517 inf + 21952 0.924 * * [simplify]: Extracting #4: cost 237 inf + 123011 0.970 * * [simplify]: Extracting #5: cost 30 inf + 224148 1.012 * * [simplify]: Extracting #6: cost 0 inf + 244356 1.055 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) (- (atan N) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan N) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan N) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan N) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan N) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan N) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan N) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan N) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan N) (atan N)) (expm1 (- (atan (+ 1 N)) (atan N))) (log1p (- (atan (+ 1 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1 (+ 1 (fma N N N)) (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 N)) (+ (atan (+ 1 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))) (expm1 (atan (+ 1 N))) (log1p (atan (+ 1 N))) (log (atan (+ 1 N))) (exp (atan (+ 1 N))) (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (real->posit16 (atan (+ 1 N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan (+ 1 N)) (atan (+ 1 N)) 1.059 * * * [progress]: adding candidates to table 1.436 * * [progress]: iteration 2 / 4 1.436 * * * [progress]: picking best candidate 1.440 * * * * [pick]: Picked # 1.440 * * * [progress]: localizing error 1.468 * * * [progress]: generating rewritten candidates 1.468 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.469 * * * [progress]: generating series expansions 1.469 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.469 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma N N N))) into (atan2 1 (+ (fma N N N) 1)) 1.469 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 1.469 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 1.469 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.469 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 1.469 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.469 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.470 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 1.470 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 1.470 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 1.470 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 1.470 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 1.470 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 1.471 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.471 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 1.471 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 1.471 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 1.471 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 1.472 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 1.472 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 1.472 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 1.472 * * * [progress]: simplifying candidates 1.472 * * * * [progress]: [ 1 / 13 ] simplifiying candidate # 1.472 * * * * [progress]: [ 2 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 3 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 4 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 5 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 6 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 7 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 8 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 9 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (fma N N N))))))> 1.473 * * * * [progress]: [ 11 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 12 / 13 ] simplifiying candidate # 1.473 * * * * [progress]: [ 13 / 13 ] simplifiying candidate # 1.473 * [simplify]: Simplifying: (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) 1.474 * * [simplify]: iteration 1: (17 enodes) 1.481 * * [simplify]: iteration 2: (53 enodes) 1.495 * * [simplify]: iteration 3: (65 enodes) 1.512 * * [simplify]: iteration 4: (83 enodes) 1.529 * * [simplify]: iteration 5: (102 enodes) 1.545 * * [simplify]: iteration 6: (125 enodes) 1.570 * * [simplify]: iteration 7: (171 enodes) 1.604 * * [simplify]: iteration 8: (286 enodes) 1.672 * * [simplify]: iteration 9: (590 enodes) 2.079 * * [simplify]: iteration 10: (1769 enodes) 6.205 * * [simplify]: Extracting #0: cost 10 inf + 0 6.205 * * [simplify]: Extracting #1: cost 136 inf + 0 6.208 * * [simplify]: Extracting #2: cost 731 inf + 2 6.213 * * [simplify]: Extracting #3: cost 1228 inf + 503 6.224 * * [simplify]: Extracting #4: cost 1279 inf + 25778 6.258 * * [simplify]: Extracting #5: cost 757 inf + 162497 6.362 * * [simplify]: Extracting #6: cost 313 inf + 669599 6.571 * * [simplify]: Extracting #7: cost 1 inf + 1091087 6.788 * * [simplify]: Extracting #8: cost 0 inf + 1032646 7.006 * * [simplify]: Extracting #9: cost 0 inf + 1023516 7.224 * * [simplify]: Extracting #10: cost 0 inf + 1023226 7.442 * [simplify]: Simplified to: (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 1) N 1)) (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)) 7.443 * * * [progress]: adding candidates to table 7.525 * * [progress]: iteration 3 / 4 7.525 * * * [progress]: picking best candidate 7.531 * * * * [pick]: Picked # 7.531 * * * [progress]: localizing error 7.548 * * * [progress]: generating rewritten candidates 7.549 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.551 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.562 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.564 * * * [progress]: generating series expansions 7.564 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.564 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.564 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 7.564 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.564 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.564 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.564 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.564 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.564 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.564 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.564 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.565 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.565 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.566 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.568 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.568 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.568 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 7.568 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.568 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.568 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.568 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.568 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.568 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.568 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.569 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.569 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.569 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.569 * [backup-simplify]: Simplify 0 into 0 7.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.570 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.572 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.572 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 7.572 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.572 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.572 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.572 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.573 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.573 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.573 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.573 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.573 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.573 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.574 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.575 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.576 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.576 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.577 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 7.577 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.577 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.577 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.577 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.577 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.577 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.577 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.577 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.577 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.577 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.580 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.580 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.580 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 7.580 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.580 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.580 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.581 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.581 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.581 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.581 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.581 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.581 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 7.581 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.582 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.583 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.584 * [backup-simplify]: Simplify 0 into 0 7.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.585 * [backup-simplify]: Simplify 0 into 0 7.585 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.585 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.585 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 7.585 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.585 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.585 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.585 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.585 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.585 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.585 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.586 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.586 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 7.586 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.586 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.587 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.589 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.589 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) into (atan2 1 (+ (fma N N N) 1)) 7.589 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 7.589 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.589 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.589 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.589 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.590 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.590 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.590 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 7.590 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.590 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.590 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.590 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.590 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.591 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.591 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 7.591 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.591 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.591 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.591 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.591 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.591 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.591 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma N N N))) into (atan2 1 (+ (fma N N N) 1)) 7.591 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 7.591 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.592 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.592 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.592 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.592 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.592 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.592 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 7.592 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.592 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.592 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.592 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.592 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.593 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.593 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 7.593 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.593 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.593 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.593 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.593 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.593 * * * [progress]: simplifying candidates 7.593 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 7.593 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 7.593 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 7.593 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 7.593 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))))))> 7.594 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 7.594 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))> 7.594 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 7.595 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))> 7.596 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 7.596 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (fma N N N))))))))> 7.597 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 7.597 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 7.598 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (log1p (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (+ 1 1) (+ (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N)))))) (log (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (exp (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* 1 1) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) 1) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) 7.599 * * [simplify]: iteration 1: (68 enodes) 7.615 * * [simplify]: iteration 2: (206 enodes) 7.652 * * [simplify]: iteration 3: (311 enodes) 7.707 * * [simplify]: iteration 4: (507 enodes) 7.848 * * [simplify]: iteration 5: (970 enodes) 9.306 * * [simplify]: Extracting #0: cost 37 inf + 0 9.307 * * [simplify]: Extracting #1: cost 350 inf + 43 9.312 * * [simplify]: Extracting #2: cost 976 inf + 639 9.318 * * [simplify]: Extracting #3: cost 961 inf + 5287 9.324 * * [simplify]: Extracting #4: cost 931 inf + 8068 9.332 * * [simplify]: Extracting #5: cost 888 inf + 25473 9.357 * * [simplify]: Extracting #6: cost 644 inf + 168625 9.451 * * [simplify]: Extracting #7: cost 120 inf + 574525 9.572 * * [simplify]: Extracting #8: cost 0 inf + 678986 9.694 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) (+ 1/2 1/2) (+ (/ 1 2) 1/2) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (+ 1 1) (log (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) 1 (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) 1 (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (* 1/2 2) 2 1 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (atan2 1 (+ 1 (fma N N N))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (atan2 1 (+ 1 (fma N N N))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) 9.698 * * * [progress]: adding candidates to table 10.410 * * [progress]: iteration 4 / 4 10.410 * * * [progress]: picking best candidate 10.429 * * * * [pick]: Picked # 10.429 * * * [progress]: localizing error 10.458 * * * [progress]: generating rewritten candidates 10.458 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 10.460 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 10.461 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 10.494 * * * [progress]: generating series expansions 10.494 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 10.494 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.494 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 10.494 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 10.494 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 10.494 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.494 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.494 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 10.494 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 10.494 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.495 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.495 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.495 * [backup-simplify]: Simplify 0 into 0 10.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.496 * [backup-simplify]: Simplify 0 into 0 10.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.496 * [backup-simplify]: Simplify 0 into 0 10.497 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.497 * [backup-simplify]: Simplify 0 into 0 10.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.498 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.498 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 10.498 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 10.498 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 10.499 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.499 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.499 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 10.499 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 10.499 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.499 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.499 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.499 * [backup-simplify]: Simplify 0 into 0 10.500 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.500 * [backup-simplify]: Simplify 0 into 0 10.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.500 * [backup-simplify]: Simplify 0 into 0 10.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.501 * [backup-simplify]: Simplify 0 into 0 10.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.502 * [backup-simplify]: Simplify 0 into 0 10.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.502 * [backup-simplify]: Simplify 0 into 0 10.503 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.503 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.503 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 10.503 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 10.503 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 10.503 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.503 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.503 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 10.503 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 10.503 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.503 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.504 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.504 * [backup-simplify]: Simplify 0 into 0 10.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.504 * [backup-simplify]: Simplify 0 into 0 10.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.505 * [backup-simplify]: Simplify 0 into 0 10.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.506 * [backup-simplify]: Simplify 0 into 0 10.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.506 * [backup-simplify]: Simplify 0 into 0 10.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.507 * [backup-simplify]: Simplify 0 into 0 10.507 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.507 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 10.507 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.507 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 10.507 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 10.507 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 10.507 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.507 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.507 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 10.507 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 10.508 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.508 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.508 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.508 * [backup-simplify]: Simplify 0 into 0 10.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.508 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.509 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.510 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.510 * [backup-simplify]: Simplify 0 into 0 10.511 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.511 * [backup-simplify]: Simplify 0 into 0 10.511 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.511 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.511 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 10.511 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 10.511 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 10.511 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.511 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.511 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 10.511 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 10.511 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.512 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.512 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.512 * [backup-simplify]: Simplify 0 into 0 10.512 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.512 * [backup-simplify]: Simplify 0 into 0 10.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.513 * [backup-simplify]: Simplify 0 into 0 10.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.514 * [backup-simplify]: Simplify 0 into 0 10.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.514 * [backup-simplify]: Simplify 0 into 0 10.515 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.515 * [backup-simplify]: Simplify 0 into 0 10.515 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.515 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.515 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 10.515 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 10.515 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 10.515 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.516 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.516 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 10.516 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 10.516 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.516 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.516 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.516 * [backup-simplify]: Simplify 0 into 0 10.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.519 * [backup-simplify]: Simplify 0 into 0 10.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.520 * [backup-simplify]: Simplify 0 into 0 10.521 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.521 * [backup-simplify]: Simplify 0 into 0 10.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.521 * [backup-simplify]: Simplify 0 into 0 10.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.522 * [backup-simplify]: Simplify 0 into 0 10.523 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.523 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 10.523 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.523 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 10.523 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 10.523 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 10.523 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.523 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.523 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 10.523 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 10.523 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.523 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.523 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.523 * [backup-simplify]: Simplify 0 into 0 10.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.524 * [backup-simplify]: Simplify 0 into 0 10.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.524 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.525 * [backup-simplify]: Simplify 0 into 0 10.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.526 * [backup-simplify]: Simplify 0 into 0 10.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 10.526 * [backup-simplify]: Simplify 0 into 0 10.526 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.527 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.527 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 10.527 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 10.527 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 10.527 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.527 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.527 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 10.527 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 10.527 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.527 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.527 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) 10.527 * [backup-simplify]: Simplify 0 into 0 10.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.528 * [backup-simplify]: Simplify 0 into 0 10.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.529 * [backup-simplify]: Simplify 0 into 0 10.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.529 * [backup-simplify]: Simplify 0 into 0 10.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.530 * [backup-simplify]: Simplify 0 into 0 10.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 10.531 * [backup-simplify]: Simplify 0 into 0 10.531 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.531 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.531 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 10.531 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 10.531 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 10.531 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.531 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.531 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 10.531 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 10.531 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.531 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.532 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) 10.532 * [backup-simplify]: Simplify 0 into 0 10.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.532 * [backup-simplify]: Simplify 0 into 0 10.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.533 * [backup-simplify]: Simplify 0 into 0 10.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.533 * [backup-simplify]: Simplify 0 into 0 10.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.534 * [backup-simplify]: Simplify 0 into 0 10.535 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 10.535 * [backup-simplify]: Simplify 0 into 0 10.535 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 10.535 * * * * [progress]: [ 4 / 4 ] generating series at (2) 10.535 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) into (atan2 1 (+ (fma N N N) 1)) 10.535 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 10.535 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 10.535 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.535 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 10.535 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.535 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.536 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))))) (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.536 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 10.536 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 10.536 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.536 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 10.536 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.536 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.537 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))))) (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.537 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 10.537 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 10.537 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.537 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 10.537 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.537 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 10.538 * * * [progress]: simplifying candidates 10.538 * * * * [progress]: [ 1 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 2 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 3 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 4 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 5 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 6 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 7 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 8 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 9 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 10 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 11 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 12 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 13 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 14 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 15 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 16 / 115 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))))))> 10.538 * * * * [progress]: [ 17 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 18 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 19 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 20 / 115 ] simplifiying candidate # 10.538 * * * * [progress]: [ 21 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 22 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 23 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 24 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 25 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 26 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 27 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 28 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 29 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 30 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 31 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 32 / 115 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N)))))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))> 10.539 * * * * [progress]: [ 33 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 34 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 35 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 36 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 37 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 38 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 39 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 40 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 41 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 42 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 43 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 44 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 45 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 46 / 115 ] simplifiying candidate # 10.539 * * * * [progress]: [ 47 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 48 / 115 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))> 10.540 * * * * [progress]: [ 49 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 50 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 51 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 52 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 53 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 54 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 55 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 56 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 57 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 58 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 59 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 60 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 61 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 62 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 63 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 64 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 65 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 66 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 67 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 68 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 69 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 70 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 71 / 115 ] simplifiying candidate # 10.540 * * * * [progress]: [ 72 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 73 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 74 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 75 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 76 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 77 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 78 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 79 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 80 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 81 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 82 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 83 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 84 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 85 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 86 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 87 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 88 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 89 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 90 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 91 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 92 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 93 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 94 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 95 / 115 ] simplifiying candidate # 10.541 * * * * [progress]: [ 96 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 97 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 98 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 99 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 100 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 101 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 102 / 115 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))> 10.542 * * * * [progress]: [ 103 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 104 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 105 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 106 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 107 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 108 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 109 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 110 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 111 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 112 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 113 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 114 / 115 ] simplifiying candidate # 10.542 * * * * [progress]: [ 115 / 115 ] simplifiying candidate # 10.543 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (log1p (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (+ (+ 1/2 1/2) 1) (+ (+ 1/2 (/ 1 2)) 1) (+ (+ (/ 1/2 2) (/ 1/2 2)) 1/2) (+ (+ (/ 1/2 2) (/ 1/2 2)) (/ 1 2)) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) 1/2) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (/ 1 2)) (+ (+ (/ 1 2) 1/2) 1) (+ (+ (/ 1 2) (/ 1 2)) 1) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) 1/2) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (/ 1 2)) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 1/2) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (/ 1 2)) (+ (* 2 1/2) 1) (+ (* 2 (/ 1/2 2)) 1/2) (+ (* 2 (/ 1/2 2)) (/ 1 2)) (+ (* 2 (/ 1 2)) 1) (+ (* 2 (/ (/ 1 2) 2)) 1/2) (+ (* 2 (/ (/ 1 2) 2)) (/ 1 2)) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (atan2 1 (+ 1 (fma N N N)))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (atan2 1 (+ 1 (fma N N N)))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (+ (+ 1/2 1/2) 1) (+ (+ 1/2 (/ 1 2)) 1) (+ (+ (/ 1 2) 1/2) 1) (+ (+ (/ 1 2) (/ 1 2)) 1) (+ (* 2 1/2) 1) (+ (* 2 (/ 1 2)) 1) (+ (+ (log (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (log (sqrt (atan2 1 (+ 1 (fma N N N)))))) (+ (log (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (log (sqrt (atan2 1 (+ 1 (fma N N N)))))) (log (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (exp (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))) (cbrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt 1)) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) 1) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) 10.545 * * [simplify]: iteration 1: (88 enodes) 10.570 * * [simplify]: iteration 2: (311 enodes) 10.627 * * [simplify]: iteration 3: (565 enodes) 10.747 * * [simplify]: iteration 4: (789 enodes) 10.989 * * [simplify]: iteration 5: (1310 enodes) 11.964 * * [simplify]: Extracting #0: cost 42 inf + 0 11.965 * * [simplify]: Extracting #1: cost 340 inf + 0 11.973 * * [simplify]: Extracting #2: cost 691 inf + 723 11.979 * * [simplify]: Extracting #3: cost 602 inf + 24423 11.994 * * [simplify]: Extracting #4: cost 330 inf + 108471 12.035 * * [simplify]: Extracting #5: cost 47 inf + 289078 12.090 * * [simplify]: Extracting #6: cost 0 inf + 326489 12.145 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (exp (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))) (expm1 (atan2 1 (+ 1 (fma N N N)))) (log1p (atan2 1 (+ 1 (fma N N N)))) (+ (+ 1/2 1) 1/2) (+ 1 (+ (/ 1 2) 1/2)) (+ (+ (/ 1/2 2) (/ 1/2 2)) 1/2) (+ (/ 1/2 2) (+ (/ 1 2) (/ 1/2 2))) (+ (+ (/ 1/2 2) 1/2) (* (/ 1 2) (/ 1 2))) (+ (/ (/ (+ 2 1) 2) 2) (/ 1/2 2)) (+ 1 (+ (/ 1 2) 1/2)) (+ (/ 1 2) (+ 1 (/ 1 2))) (+ (+ (/ 1/2 2) 1/2) (* (/ 1 2) (/ 1 2))) (+ (/ (/ (+ 2 1) 2) 2) (/ 1/2 2)) (+ 1/2 (* (+ (/ 1 2) (/ 1 2)) (/ 1 2))) (/ (+ 2 (+ 1 1)) (* 2 2)) (fma 2 1/2 1) (+ 1/2 1/2) (+ (/ 1 2) 1/2) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))) (+ (+ 1/2 1) 1/2) (+ 1 (+ (/ 1 2) 1/2)) (+ 1 (+ (/ 1 2) 1/2)) (+ (/ 1 2) (+ 1 (/ 1 2))) (fma 2 1/2 1) (+ 1 1) (log (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (log (atan2 1 (+ 1 (fma N N N)))) (exp (atan2 1 (+ 1 (fma N N N)))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N)))) (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (real->posit16 (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))) 12.151 * * * [progress]: adding candidates to table 12.983 * [progress]: [Phase 3 of 3] Extracting. 12.983 * * [regime]: Finding splitpoints for: (# # # # # #) 12.984 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.984 * * * * [regimes]: Trying to branch on N from (# # # # # #) 13.026 * * * [regime]: Found split indices: #