25.430 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.062 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.062 * * [simplify]: iteration 0: 6 enodes 0.063 * * [simplify]: iteration 1: 11 enodes 0.067 * * [simplify]: iteration 2: 12 enodes 0.069 * * [simplify]: iteration complete: 12 enodes 0.069 * * [simplify]: Extracting #0: cost 1 inf + 0 0.070 * * [simplify]: Extracting #1: cost 4 inf + 0 0.070 * * [simplify]: Extracting #2: cost 6 inf + 0 0.070 * * [simplify]: Extracting #3: cost 4 inf + 253 0.070 * * [simplify]: Extracting #4: cost 0 inf + 735 0.070 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.074 * * * * [pick]: Picked # 0.074 * * * [progress]: localizing error 0.093 * * * [progress]: generating rewritten candidates 0.093 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.102 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.104 * * * [progress]: generating series expansions 0.104 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.105 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.105 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.105 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.105 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.105 * [taylor]: Taking taylor expansion of (atan N) in N 0.105 * [backup-simplify]: Simplify (atan N) into (atan N) 0.105 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.105 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.105 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.105 * [taylor]: Taking taylor expansion of (atan N) in N 0.105 * [backup-simplify]: Simplify (atan N) into (atan N) 0.105 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.105 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.105 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [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 0.111 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.111 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.111 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.111 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.111 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.111 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.111 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.111 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.111 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.112 * [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))) 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [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 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.117 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.117 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.117 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.117 * [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 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.117 * [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 0.118 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.118 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.118 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.118 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.118 * [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 0.120 * [backup-simplify]: Simplify (+ 0 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 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.124 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.124 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.124 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.125 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.125 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.125 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.125 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.126 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.126 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.126 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.126 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.126 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.126 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.126 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.127 * * * [progress]: simplifying candidates 0.127 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 0.127 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 0.127 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 0.127 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 0.127 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 0.127 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 0.127 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 0.127 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 0.127 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 17 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 22 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 0.128 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.129 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 39 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.129 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 0.129 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 0.130 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 0.130 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 0.131 * [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)) 0.132 * * [simplify]: iteration 0: 67 enodes 0.152 * * [simplify]: iteration 1: 140 enodes 0.208 * * [simplify]: iteration 2: 288 enodes 0.359 * * [simplify]: iteration 3: 773 enodes 0.884 * * [simplify]: iteration 4: 2140 enodes 1.977 * * [simplify]: iteration complete: 5005 enodes 1.978 * * [simplify]: Extracting #0: cost 30 inf + 0 1.979 * * [simplify]: Extracting #1: cost 333 inf + 2 1.987 * * [simplify]: Extracting #2: cost 1021 inf + 803 1.993 * * [simplify]: Extracting #3: cost 1168 inf + 9975 2.010 * * [simplify]: Extracting #4: cost 882 inf + 130639 2.094 * * [simplify]: Extracting #5: cost 226 inf + 453810 2.191 * * [simplify]: Extracting #6: cost 2 inf + 584521 2.285 * * [simplify]: Extracting #7: cost 0 inf + 585898 2.425 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (expm1 (- (atan (+ 1 N)) (atan N))) (log1p (- (atan (+ 1 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1 (fma N (+ N 1) 1) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (* (atan N) (atan N)) (atan N))) (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N)) (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (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)) 2.427 * * * [progress]: adding candidates to table 2.582 * * [progress]: iteration 2 / 4 2.582 * * * [progress]: picking best candidate 2.586 * * * * [pick]: Picked # 2.586 * * * [progress]: localizing error 2.605 * * * [progress]: generating rewritten candidates 2.605 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.606 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.607 * * * [progress]: generating series expansions 2.607 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.607 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.607 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 2.607 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.607 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.607 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.607 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.607 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.608 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.608 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 2.608 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.608 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.608 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.608 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.609 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.609 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.609 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 2.609 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.609 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.609 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.610 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.610 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.610 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.610 * [backup-simplify]: Simplify (fma N (+ N 1) 1) into (fma N (+ N 1) 1) 2.610 * [approximate]: Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0 2.610 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.610 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.610 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 2.610 * [taylor]: Taking taylor expansion of N in N 2.610 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.611 * [taylor]: Taking taylor expansion of N in N 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [taylor]: Taking taylor expansion of 1 in N 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [taylor]: Taking taylor expansion of 1 in N 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 2.611 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 2.611 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 2.611 * [taylor]: Taking taylor expansion of N in N 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.611 * [taylor]: Taking taylor expansion of N in N 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [taylor]: Taking taylor expansion of 1 in N 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [taylor]: Taking taylor expansion of 1 in N 2.611 * [backup-simplify]: Simplify 1 into 1 2.612 * [backup-simplify]: Simplify (+ 0 1) into 1 2.612 * [backup-simplify]: Simplify (* 0 1) into 0 2.613 * [backup-simplify]: Simplify (+ 0 1) into 1 2.613 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (+ 1 0) into 1 2.614 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.614 * [backup-simplify]: Simplify (+ 1 0) into 1 2.614 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.616 * [backup-simplify]: Simplify (+ 1 0) into 1 2.616 * [backup-simplify]: Simplify 1 into 1 2.616 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 2.616 * [backup-simplify]: Simplify (fma (/ 1 N) (+ (/ 1 N) 1) 1) into (fma (/ 1 N) (+ (/ 1 N) 1) 1) 2.617 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0 2.617 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.617 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.617 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 2.617 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.617 * [taylor]: Taking taylor expansion of N in N 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.617 * [backup-simplify]: Simplify (/ 1 1) into 1 2.617 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.617 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.617 * [taylor]: Taking taylor expansion of N in N 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (/ 1 1) into 1 2.618 * [taylor]: Taking taylor expansion of 1 in N 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of 1 in N 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 2.618 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 2.618 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 2.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.618 * [taylor]: Taking taylor expansion of N in N 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (/ 1 1) into 1 2.618 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.618 * [taylor]: Taking taylor expansion of N in N 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (/ 1 1) into 1 2.619 * [taylor]: Taking taylor expansion of 1 in N 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [taylor]: Taking taylor expansion of 1 in N 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (+ 1 0) into 1 2.620 * [backup-simplify]: Simplify (* 1 1) into 1 2.620 * [backup-simplify]: Simplify (+ 1 0) into 1 2.620 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify (+ 0 1) into 1 2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.623 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 2.623 * [backup-simplify]: Simplify (+ 1 0) into 1 2.623 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.625 * [backup-simplify]: Simplify (+ 0 0) into 0 2.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 2.627 * [backup-simplify]: Simplify (+ 0 1) into 1 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 2.627 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) 2.627 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in (N) around 0 2.627 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.627 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.627 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.627 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.627 * [taylor]: Taking taylor expansion of -1 in N 2.628 * [backup-simplify]: Simplify -1 into -1 2.628 * [taylor]: Taking taylor expansion of N in N 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [backup-simplify]: Simplify (/ -1 1) into -1 2.628 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.628 * [taylor]: Taking taylor expansion of 1 in N 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.628 * [taylor]: Taking taylor expansion of N in N 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.629 * [backup-simplify]: Simplify (/ 1 1) into 1 2.629 * [taylor]: Taking taylor expansion of 1 in N 2.629 * [backup-simplify]: Simplify 1 into 1 2.629 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 2.629 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 2.629 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 2.629 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.629 * [taylor]: Taking taylor expansion of -1 in N 2.629 * [backup-simplify]: Simplify -1 into -1 2.629 * [taylor]: Taking taylor expansion of N in N 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 1 into 1 2.634 * [backup-simplify]: Simplify (/ -1 1) into -1 2.634 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.634 * [taylor]: Taking taylor expansion of 1 in N 2.634 * [backup-simplify]: Simplify 1 into 1 2.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.634 * [taylor]: Taking taylor expansion of N in N 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify 1 into 1 2.635 * [backup-simplify]: Simplify (/ 1 1) into 1 2.635 * [taylor]: Taking taylor expansion of 1 in N 2.635 * [backup-simplify]: Simplify 1 into 1 2.635 * [backup-simplify]: Simplify (- 1) into -1 2.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.636 * [backup-simplify]: Simplify (* -1 -1) into 1 2.637 * [backup-simplify]: Simplify (+ 1 0) into 1 2.637 * [backup-simplify]: Simplify 1 into 1 2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.638 * [backup-simplify]: Simplify (- 0) into 0 2.638 * [backup-simplify]: Simplify (+ 1 0) into 1 2.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 2.641 * [backup-simplify]: Simplify (+ -1 0) into -1 2.641 * [backup-simplify]: Simplify -1 into -1 2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (- 0) into 0 2.642 * [backup-simplify]: Simplify (+ 0 0) into 0 2.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 2.645 * [backup-simplify]: Simplify (+ 0 1) into 1 2.645 * [backup-simplify]: Simplify 1 into 1 2.645 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 2.646 * * * [progress]: simplifying candidates 2.646 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 10 / 27 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ N 1) 1)))))> 2.646 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 2.646 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 21 / 27 ] simplifiying candidate #real (real->posit16 (fma N (+ N 1) 1)))))> 2.647 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 23 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 24 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 2.647 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 2.648 * [simplify]: Simplifying: (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (expm1 (fma N (+ N 1) 1)) (log1p (fma N (+ N 1) 1)) (* N (+ N 1)) (log (fma N (+ N 1) 1)) (exp (fma N (+ N 1) 1)) (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)) (* (* (fma N (+ N 1) 1) (fma N (+ N 1) 1)) (fma N (+ N 1) 1)) (sqrt (fma N (+ N 1) 1)) (sqrt (fma N (+ N 1) 1)) (real->posit16 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) 2.648 * * [simplify]: iteration 0: 30 enodes 2.659 * * [simplify]: iteration 1: 49 enodes 2.674 * * [simplify]: iteration 2: 84 enodes 2.694 * * [simplify]: iteration 3: 254 enodes 2.984 * * [simplify]: iteration 4: 1118 enodes 3.544 * * [simplify]: iteration complete: 5001 enodes 3.544 * * [simplify]: Extracting #0: cost 21 inf + 0 3.545 * * [simplify]: Extracting #1: cost 201 inf + 0 3.553 * * [simplify]: Extracting #2: cost 968 inf + 9003 3.599 * * [simplify]: Extracting #3: cost 944 inf + 95095 3.663 * * [simplify]: Extracting #4: cost 379 inf + 245896 3.746 * * [simplify]: Extracting #5: cost 12 inf + 316260 3.861 * * [simplify]: Extracting #6: cost 0 inf + 320451 3.978 * [simplify]: Simplified to: (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (expm1 (fma N (+ N 1) 1)) (log1p (fma N (+ N 1) 1)) (fma N N N) (log1p (fma N N N)) (exp (fma N (+ N 1) 1)) (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)) (* (fma N (+ N 1) 1) (* (fma N (+ N 1) 1) (fma N (+ N 1) 1))) (sqrt (fma N (+ N 1) 1)) (sqrt (fma N (+ N 1) 1)) (real->posit16 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (fma N (+ N 1) 1) (fma N (+ N 1) 1) (fma N (+ N 1) 1) 3.979 * * * [progress]: adding candidates to table 4.070 * * [progress]: iteration 3 / 4 4.070 * * * [progress]: picking best candidate 4.080 * * * * [pick]: Picked # 4.080 * * * [progress]: localizing error 4.092 * * * [progress]: generating rewritten candidates 4.093 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.093 * * * [progress]: generating series expansions 4.094 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.094 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 4.094 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 4.094 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 4.094 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 4.094 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 4.094 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 4.094 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 4.095 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 4.095 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 4.095 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 4.095 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 4.095 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 4.095 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 4.095 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 4.096 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 4.096 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 4.096 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 4.096 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 4.096 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 4.097 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 4.097 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 4.097 * * * [progress]: simplifying candidates 4.097 * * * * [progress]: [ 1 / 13 ] simplifiying candidate # 4.097 * * * * [progress]: [ 2 / 13 ] simplifiying candidate # 4.097 * * * * [progress]: [ 3 / 13 ] simplifiying candidate # 4.098 * * * * [progress]: [ 4 / 13 ] simplifiying candidate # 4.098 * * * * [progress]: [ 5 / 13 ] simplifiying candidate # 4.098 * * * * [progress]: [ 6 / 13 ] simplifiying candidate # 4.098 * * * * [progress]: [ 7 / 13 ] simplifiying candidate # 4.098 * * * * [progress]: [ 8 / 13 ] simplifiying candidate # 4.098 * * * * [progress]: [ 9 / 13 ] simplifiying candidate # 4.098 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ (fma N N N) 1)))))> 4.098 * * * * [progress]: [ 11 / 13 ] simplifiying candidate # 4.098 * * * * [progress]: [ 12 / 13 ] simplifiying candidate # 4.098 * * * * [progress]: [ 13 / 13 ] simplifiying candidate # 4.098 * [simplify]: Simplifying: (expm1 (atan2 1 (+ (fma N N N) 1))) (log1p (atan2 1 (+ (fma N N N) 1))) (log (atan2 1 (+ (fma N N N) 1))) (exp (atan2 1 (+ (fma N N N) 1))) (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (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))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (real->posit16 (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)) 4.099 * * [simplify]: iteration 0: 15 enodes 4.103 * * [simplify]: iteration 1: 21 enodes 4.110 * * [simplify]: iteration 2: 29 enodes 4.119 * * [simplify]: iteration 3: 41 enodes 4.127 * * [simplify]: iteration 4: 57 enodes 4.137 * * [simplify]: iteration 5: 84 enodes 4.149 * * [simplify]: iteration 6: 164 enodes 4.203 * * [simplify]: iteration 7: 275 enodes 4.276 * * [simplify]: iteration 8: 521 enodes 4.547 * * [simplify]: iteration 9: 1275 enodes 6.443 * * [simplify]: iteration complete: 5001 enodes 6.444 * * [simplify]: Extracting #0: cost 10 inf + 0 6.444 * * [simplify]: Extracting #1: cost 201 inf + 0 6.449 * * [simplify]: Extracting #2: cost 1202 inf + 3 6.454 * * [simplify]: Extracting #3: cost 1239 inf + 626 6.465 * * [simplify]: Extracting #4: cost 1222 inf + 3163 6.481 * * [simplify]: Extracting #5: cost 1029 inf + 130593 6.586 * * [simplify]: Extracting #6: cost 356 inf + 850081 6.764 * * [simplify]: Extracting #7: cost 0 inf + 1276082 6.951 * * [simplify]: Extracting #8: cost 0 inf + 1272320 7.100 * * [simplify]: Extracting #9: cost 0 inf + 1272109 7.242 * [simplify]: Simplified to: (expm1 (atan2 1 (fma (+ 1 N) N 1))) (log1p (atan2 1 (fma (+ 1 N) N 1))) (log (atan2 1 (fma (+ 1 N) N 1))) (exp (atan2 1 (fma (+ 1 N) N 1))) (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (atan2 1 (fma (+ 1 N) N 1))) (* (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (real->posit16 (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1)) 7.243 * * * [progress]: adding candidates to table 7.282 * * [progress]: iteration 4 / 4 7.282 * * * [progress]: picking best candidate 7.289 * * * * [pick]: Picked # 7.289 * * * [progress]: localizing error 7.306 * * * [progress]: generating rewritten candidates 7.307 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.309 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.318 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.319 * * * [progress]: generating series expansions 7.319 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.319 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.319 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 7.319 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.319 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.319 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.319 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.319 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.319 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.319 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.320 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.320 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.320 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.323 * [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))) 7.323 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 7.323 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.323 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.324 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.324 * [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))) 7.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.324 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.324 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.324 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.324 * [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))) 7.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.324 * [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))) 7.324 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.325 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.327 * [backup-simplify]: Simplify 0 into 0 7.328 * [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 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [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))) 7.328 * [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))) 7.328 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 7.328 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.328 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.328 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.328 * [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))) 7.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.328 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.328 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.329 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.329 * [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))) 7.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.329 * [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))) 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.332 * [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 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [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))) 7.332 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.332 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.332 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0 7.332 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.332 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.333 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.333 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.333 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N 7.333 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.333 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.333 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.333 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.333 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.335 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0 7.336 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1))) 7.336 * [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))) 7.336 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0 7.336 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.336 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.336 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.336 * [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))) 7.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.337 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N 7.337 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.337 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.337 * [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))) 7.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.337 * [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))) 7.337 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.339 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [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 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [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))) 7.340 * [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))) 7.340 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0 7.341 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.341 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.341 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.341 * [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))) 7.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.341 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N 7.341 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.341 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.341 * [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))) 7.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.341 * [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))) 7.341 * [backup-simplify]: Simplify 0 into 0 7.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.342 * [backup-simplify]: Simplify 0 into 0 7.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.342 * [backup-simplify]: Simplify 0 into 0 7.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.343 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [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 7.344 * [backup-simplify]: Simplify 0 into 0 7.345 * [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))) 7.345 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.345 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))) into (atan2 1 (+ (fma N N N) 1)) 7.345 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 7.345 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.345 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.345 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.345 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.345 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.345 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.346 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 7.346 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.346 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.346 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.346 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.346 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.346 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1))) (sqrt (atan2 1 (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.346 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 7.346 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.346 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.347 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.347 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.347 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.347 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.347 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.347 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0 7.347 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.347 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.347 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N 7.347 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.347 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.348 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.348 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0 7.348 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.348 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.348 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N 7.348 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.348 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.348 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.348 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0 7.348 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.348 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.349 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N 7.349 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.349 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1)) 7.349 * * * [progress]: simplifying candidates 7.349 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 7.349 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ (fma N N N) 1)))))))> 7.350 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (atan2 1 (+ (fma N N N) 1)))))> 7.350 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 7.350 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 7.351 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))))> 7.352 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 7.352 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ (fma N N N) 1)))))))> 7.353 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 7.353 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 7.354 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (+ (fma N N N) 1)))) (log1p (sqrt (atan2 1 (+ (fma N N N) 1)))) (log (sqrt (atan2 1 (+ (fma N N N) 1)))) (exp (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (cbrt (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 (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt 1) (sqrt (atan2 1 (+ (fma N N N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (real->posit16 (sqrt (atan2 1 (+ (fma N N N) 1)))) (expm1 (sqrt (atan2 1 (+ (fma N N N) 1)))) (log1p (sqrt (atan2 1 (+ (fma N N N) 1)))) (log (sqrt (atan2 1 (+ (fma N N N) 1)))) (exp (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (cbrt (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 (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt 1) (sqrt (atan2 1 (+ (fma N N N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (real->posit16 (sqrt (atan2 1 (+ (fma N N N) 1)))) (expm1 (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))))) (log1p (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (+ (fma N N N) 1)) (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))) (+ 1 1) (+ (log (sqrt (atan2 1 (+ (fma N N N) 1)))) (log (sqrt (atan2 1 (+ (fma N N N) 1))))) (log (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))))) (exp (* (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))))) (* (cbrt (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))))) (cbrt (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))))) (cbrt (* (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))) (sqrt (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))))) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))))) (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (cbrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* 1 1) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt 1)) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) 1) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (sqrt (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 (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)))) (real->posit16 (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))))) (expm1 (atan2 1 (+ (fma N N N) 1))) (log1p (atan2 1 (+ (fma N N N) 1))) (log (atan2 1 (+ (fma N N N) 1))) (exp (atan2 1 (+ (fma N N N) 1))) (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (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))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (real->posit16 (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)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) 7.355 * * [simplify]: iteration 0: 65 enodes 7.373 * * [simplify]: iteration 1: 118 enodes 7.426 * * [simplify]: iteration 2: 247 enodes 7.527 * * [simplify]: iteration 3: 658 enodes 8.770 * * [simplify]: iteration 4: 4110 enodes 10.189 * * [simplify]: iteration complete: 5000 enodes 10.189 * * [simplify]: Extracting #0: cost 30 inf + 0 10.190 * * [simplify]: Extracting #1: cost 399 inf + 3 10.198 * * [simplify]: Extracting #2: cost 937 inf + 154 10.204 * * [simplify]: Extracting #3: cost 965 inf + 397 10.209 * * [simplify]: Extracting #4: cost 955 inf + 954 10.221 * * [simplify]: Extracting #5: cost 782 inf + 68502 10.273 * * [simplify]: Extracting #6: cost 257 inf + 294829 10.352 * * [simplify]: Extracting #7: cost 2 inf + 416701 10.438 * * [simplify]: Extracting #8: cost 0 inf + 417736 10.520 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) 1 (sqrt (atan2 1 (fma (+ N 1) N 1))) 1/2 (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (real->posit16 (sqrt (atan2 1 (fma (+ N 1) N 1)))) (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) 1 (sqrt (atan2 1 (fma (+ N 1) N 1))) 1/2 (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (real->posit16 (sqrt (atan2 1 (fma (+ N 1) N 1)))) (expm1 (atan2 1 (fma (+ N 1) N 1))) (log1p (atan2 1 (fma (+ N 1) N 1))) 1 1 2 1 1 (* (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)) (atan2 1 (fma (+ N 1) N 1))) 2 (log (atan2 1 (fma (+ N 1) N 1))) (log (atan2 1 (fma (+ N 1) N 1))) (exp (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)))) (* (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)))) (* (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))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) 1 (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) 1 (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) 1 2 1 (* (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (fabs (cbrt (atan2 1 (fma (+ N 1) N 1))))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (atan2 1 (fma (+ N 1) N 1)) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (atan2 1 (fma (+ N 1) N 1)) (real->posit16 (atan2 1 (fma (+ N 1) N 1))) (expm1 (atan2 1 (fma (+ N 1) N 1))) (log1p (atan2 1 (fma (+ N 1) N 1))) (log (atan2 1 (fma (+ N 1) N 1))) (exp (atan2 1 (fma (+ N 1) N 1))) (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (atan2 1 (fma (+ N 1) N 1))) (* (atan2 1 (fma (+ N 1) N 1)) (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (real->posit16 (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)) (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)) 10.525 * * * [progress]: adding candidates to table 10.767 * [progress]: [Phase 3 of 3] Extracting. 10.767 * * [regime]: Finding splitpoints for: (# # # # # # # #) 10.768 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1)) (atan N)) N) 10.768 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # # #) 10.806 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 10.841 * * * [regime]: Found split indices: #