14.364 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.050 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.050 * * [simplify]: iteration 0: 6 enodes 0.053 * * [simplify]: iteration 1: 11 enodes 0.055 * * [simplify]: iteration 2: 12 enodes 0.058 * * [simplify]: iteration complete: 12 enodes 0.058 * * [simplify]: Extracting #0: cost 1 inf + 0 0.059 * * [simplify]: Extracting #1: cost 4 inf + 0 0.059 * * [simplify]: Extracting #2: cost 6 inf + 0 0.059 * * [simplify]: Extracting #3: cost 4 inf + 253 0.059 * * [simplify]: Extracting #4: cost 0 inf + 735 0.059 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.060 * * [progress]: iteration 1 / 4 0.060 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.086 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.097 * * * [progress]: generating series expansions 0.098 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.098 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.098 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.098 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.098 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.098 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.098 * [taylor]: Taking taylor expansion of (atan N) in N 0.098 * [backup-simplify]: Simplify (atan N) into (atan N) 0.098 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.098 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.098 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.098 * [taylor]: Taking taylor expansion of (atan N) in N 0.098 * [backup-simplify]: Simplify (atan N) into (atan N) 0.099 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.099 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.099 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.105 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.105 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.105 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.105 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.105 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.105 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.105 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.105 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.105 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.105 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.105 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.106 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.106 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.111 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.111 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.111 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.112 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 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 (/ 1 N))) (atan (/ -1 N))) in N 0.112 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.112 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 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 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.112 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (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 0.114 * [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 (- 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 (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.118 * * * [progress]: simplifying candidates 0.118 * * * * [progress]: [ 1 / 33 ] simplifiying candidate # 0.118 * * * * [progress]: [ 2 / 33 ] simplifiying candidate # 0.118 * * * * [progress]: [ 3 / 33 ] simplifiying candidate # 0.118 * * * * [progress]: [ 4 / 33 ] simplifiying candidate # 0.118 * * * * [progress]: [ 5 / 33 ] simplifiying candidate # 0.118 * * * * [progress]: [ 6 / 33 ] simplifiying candidate # 0.118 * * * * [progress]: [ 7 / 33 ] simplifiying candidate # 0.118 * * * * [progress]: [ 8 / 33 ] simplifiying candidate # 0.118 * * * * [progress]: [ 9 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 10 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 11 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 12 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 13 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 14 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 15 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 16 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 17 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 18 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 19 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 20 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 21 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 22 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 23 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 24 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 25 / 33 ] simplifiying candidate # 0.119 * * * * [progress]: [ 26 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 27 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 28 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 29 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.120 * * * * [progress]: [ 31 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 32 / 33 ] simplifiying candidate # 0.120 * * * * [progress]: [ 33 / 33 ] simplifiying candidate # 0.121 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1)) (atan N))) (log1p (- (atan (+ N 1)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ N 1) N) (+ 1 (* (+ N 1) N)) (/ (exp (atan (+ N 1))) (exp (atan N))) (log (- (atan (+ N 1)) (atan N))) (exp (- (atan (+ N 1)) (atan N))) (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N))) (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N)) (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) 0.122 * * [simplify]: iteration 0: 62 enodes 0.147 * * [simplify]: iteration 1: 136 enodes 0.188 * * [simplify]: iteration 2: 288 enodes 0.321 * * [simplify]: iteration 3: 777 enodes 0.778 * * [simplify]: iteration 4: 2002 enodes 1.132 * * [simplify]: iteration complete: 2002 enodes 1.132 * * [simplify]: Extracting #0: cost 20 inf + 0 1.133 * * [simplify]: Extracting #1: cost 162 inf + 2 1.134 * * [simplify]: Extracting #2: cost 402 inf + 1993 1.139 * * [simplify]: Extracting #3: cost 371 inf + 37811 1.155 * * [simplify]: Extracting #4: cost 116 inf + 144737 1.176 * * [simplify]: Extracting #5: cost 9 inf + 192986 1.199 * * [simplify]: Extracting #6: cost 0 inf + 196442 1.235 * [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 (+ N (fma N N 1)) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (* (* (atan N) (atan N)) (atan N))) (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N)) (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) 1.236 * * * [progress]: adding candidates to table 1.332 * * [progress]: iteration 2 / 4 1.332 * * * [progress]: picking best candidate 1.336 * * * * [pick]: Picked # 1.336 * * * [progress]: localizing error 1.349 * * * [progress]: generating rewritten candidates 1.349 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.349 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.354 * * * [progress]: generating series expansions 1.354 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.354 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.354 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0 1.354 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 1.354 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.355 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 1.355 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.355 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.355 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 1.355 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0 1.355 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 1.355 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 1.355 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 1.355 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 1.355 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1))) 1.356 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 1.356 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0 1.356 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 1.356 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 1.356 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 1.356 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 1.356 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1))) 1.357 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.357 * [backup-simplify]: Simplify (+ N (fma N N 1)) into (+ N (fma N N 1)) 1.357 * [approximate]: Taking taylor expansion of (+ N (fma N N 1)) in (N) around 0 1.357 * [taylor]: Taking taylor expansion of (+ N (fma N N 1)) in N 1.357 * [taylor]: Taking taylor expansion of N in N 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of (fma N N 1) in N 1.357 * [taylor]: Rewrote expression to (+ (* N N) 1) 1.357 * [taylor]: Taking taylor expansion of (* N N) in N 1.357 * [taylor]: Taking taylor expansion of N in N 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of N in N 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of 1 in N 1.357 * [backup-simplify]: Simplify 1 into 1 1.358 * [taylor]: Taking taylor expansion of (+ N (fma N N 1)) in N 1.358 * [taylor]: Taking taylor expansion of N in N 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [taylor]: Taking taylor expansion of (fma N N 1) in N 1.358 * [taylor]: Rewrote expression to (+ (* N N) 1) 1.358 * [taylor]: Taking taylor expansion of (* N N) in N 1.358 * [taylor]: Taking taylor expansion of N in N 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [taylor]: Taking taylor expansion of N in N 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [taylor]: Taking taylor expansion of 1 in N 1.358 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (* 0 0) into 0 1.359 * [backup-simplify]: Simplify (+ 0 1) into 1 1.359 * [backup-simplify]: Simplify (+ 0 1) into 1 1.359 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.365 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [backup-simplify]: Simplify (+ 1 0) into 1 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.366 * [backup-simplify]: Simplify (+ 1 0) into 1 1.366 * [backup-simplify]: Simplify (+ 0 1) into 1 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 1.366 * [backup-simplify]: Simplify (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) into (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) 1.367 * [approximate]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in (N) around 0 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in N 1.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.367 * [taylor]: Taking taylor expansion of N in N 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (/ 1 1) into 1 1.367 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N 1.367 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1) 1.367 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N 1.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.367 * [taylor]: Taking taylor expansion of N in N 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.368 * [taylor]: Taking taylor expansion of N in N 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [taylor]: Taking taylor expansion of 1 in N 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in N 1.368 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.368 * [taylor]: Taking taylor expansion of N in N 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N 1.368 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1) 1.368 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N 1.368 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.368 * [taylor]: Taking taylor expansion of N in N 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (/ 1 1) into 1 1.369 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.369 * [taylor]: Taking taylor expansion of N in N 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (/ 1 1) into 1 1.369 * [taylor]: Taking taylor expansion of 1 in N 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.369 * [backup-simplify]: Simplify (+ 1 0) into 1 1.370 * [backup-simplify]: Simplify (+ 0 1) into 1 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (+ 1 0) into 1 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.374 * [backup-simplify]: Simplify (+ 0 1) into 1 1.374 * [backup-simplify]: Simplify (+ 0 1) into 1 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 1.375 * [backup-simplify]: Simplify (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)) into (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) 1.375 * [approximate]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in (N) around 0 1.375 * [taylor]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in N 1.375 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N 1.375 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1) 1.375 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N 1.375 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.375 * [taylor]: Taking taylor expansion of -1 in N 1.375 * [backup-simplify]: Simplify -1 into -1 1.375 * [taylor]: Taking taylor expansion of N in N 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (/ -1 1) into -1 1.375 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.375 * [taylor]: Taking taylor expansion of -1 in N 1.375 * [backup-simplify]: Simplify -1 into -1 1.375 * [taylor]: Taking taylor expansion of N in N 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (/ -1 1) into -1 1.375 * [taylor]: Taking taylor expansion of 1 in N 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.375 * [taylor]: Taking taylor expansion of N in N 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.376 * [taylor]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in N 1.376 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N 1.376 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1) 1.376 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N 1.376 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.376 * [taylor]: Taking taylor expansion of -1 in N 1.376 * [backup-simplify]: Simplify -1 into -1 1.376 * [taylor]: Taking taylor expansion of N in N 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ -1 1) into -1 1.376 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.376 * [taylor]: Taking taylor expansion of -1 in N 1.376 * [backup-simplify]: Simplify -1 into -1 1.376 * [taylor]: Taking taylor expansion of N in N 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (/ -1 1) into -1 1.377 * [taylor]: Taking taylor expansion of 1 in N 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.377 * [taylor]: Taking taylor expansion of N in N 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [backup-simplify]: Simplify (* -1 -1) into 1 1.378 * [backup-simplify]: Simplify (+ 1 0) into 1 1.378 * [backup-simplify]: Simplify (+ 1 0) into 1 1.378 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (- 1) into -1 1.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.380 * [backup-simplify]: Simplify -1 into -1 1.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.382 * [backup-simplify]: Simplify (+ 0 1) into 1 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (+ 1 0) into 1 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 1.384 * * * [progress]: simplifying candidates 1.384 * * * * [progress]: [ 1 / 35 ] simplifiying candidate # 1.384 * * * * [progress]: [ 2 / 35 ] simplifiying candidate # 1.384 * * * * [progress]: [ 3 / 35 ] simplifiying candidate # 1.384 * * * * [progress]: [ 4 / 35 ] simplifiying candidate # 1.384 * * * * [progress]: [ 5 / 35 ] simplifiying candidate # 1.384 * * * * [progress]: [ 6 / 35 ] simplifiying candidate # 1.384 * * * * [progress]: [ 7 / 35 ] simplifiying candidate # 1.384 * * * * [progress]: [ 8 / 35 ] simplifiying candidate # 1.384 * * * * [progress]: [ 9 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 10 / 35 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ N (fma N N 1))))))> 1.385 * * * * [progress]: [ 11 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 12 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 13 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 14 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 15 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 16 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 17 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 18 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 19 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 20 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 21 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 22 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 23 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 24 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 25 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 26 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 27 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 28 / 35 ] simplifiying candidate #real (real->posit16 (+ N (fma N N 1))))))> 1.385 * * * * [progress]: [ 29 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 30 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 31 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 32 / 35 ] simplifiying candidate # 1.385 * * * * [progress]: [ 33 / 35 ] simplifiying candidate # 1.386 * * * * [progress]: [ 34 / 35 ] simplifiying candidate # 1.386 * * * * [progress]: [ 35 / 35 ] simplifiying candidate # 1.386 * [simplify]: Simplifying: (expm1 (atan2 1 (+ N (fma N N 1)))) (log1p (atan2 1 (+ N (fma N N 1)))) (log (atan2 1 (+ N (fma N N 1)))) (exp (atan2 1 (+ N (fma N N 1)))) (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1))))) (cbrt (atan2 1 (+ N (fma N N 1)))) (* (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (real->posit16 (atan2 1 (+ N (fma N N 1)))) (expm1 (+ N (fma N N 1))) (log1p (+ N (fma N N 1))) (* (exp N) (exp (fma N N 1))) (log (+ N (fma N N 1))) (exp (+ N (fma N N 1))) (* (cbrt (+ N (fma N N 1))) (cbrt (+ N (fma N N 1)))) (cbrt (+ N (fma N N 1))) (* (* (+ N (fma N N 1)) (+ N (fma N N 1))) (+ N (fma N N 1))) (sqrt (+ N (fma N N 1))) (sqrt (+ N (fma N N 1))) (+ (pow N 3) (pow (fma N N 1) 3)) (+ (* N N) (- (* (fma N N 1) (fma N N 1)) (* N (fma N N 1)))) (- (* N N) (* (fma N N 1) (fma N N 1))) (- N (fma N N 1)) (+ N (fma N N 1)) (+ N (* N N)) (real->posit16 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) 1.386 * * [simplify]: iteration 0: 44 enodes 1.395 * * [simplify]: iteration 1: 99 enodes 1.423 * * [simplify]: iteration 2: 330 enodes 1.682 * * [simplify]: iteration 3: 1659 enodes 2.040 * * [simplify]: iteration 4: 2006 enodes 2.530 * * [simplify]: iteration complete: 2006 enodes 2.531 * * [simplify]: Extracting #0: cost 25 inf + 0 2.531 * * [simplify]: Extracting #1: cost 178 inf + 0 2.533 * * [simplify]: Extracting #2: cost 507 inf + 2102 2.541 * * [simplify]: Extracting #3: cost 189 inf + 51860 2.569 * * [simplify]: Extracting #4: cost 16 inf + 78329 2.588 * * [simplify]: Extracting #5: cost 2 inf + 81558 2.615 * * [simplify]: Extracting #6: cost 0 inf + 82385 2.654 * [simplify]: Simplified to: (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)))) (expm1 (fma N N (+ N 1))) (log1p (fma N N (+ N 1))) (* (exp (fma N N N)) E) (log1p (fma N N N)) (* (exp (fma N N N)) E) (* (cbrt (fma N N (+ N 1))) (cbrt (fma N N (+ N 1)))) (cbrt (fma N N (+ N 1))) (* (fma N N (+ N 1)) (* (fma N N (+ N 1)) (fma N N (+ N 1)))) (sqrt (fma N N (+ N 1))) (sqrt (fma N N (+ N 1))) (fma (* (fma N N 1) (fma N N 1)) (fma N N 1) (* N (* N N))) (fma N N (* (- (fma N N 1) N) (fma N N 1))) (* (+ N (fma N N 1)) (- N (fma N N 1))) (- N (fma N N 1)) (fma N N (+ N 1)) (fma N N N) (real->posit16 (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))) (fma N N (+ N 1)) (fma N N (+ N 1)) (fma N N (+ N 1)) 2.656 * * * [progress]: adding candidates to table 2.787 * * [progress]: iteration 3 / 4 2.787 * * * [progress]: picking best candidate 2.794 * * * * [pick]: Picked # 2.794 * * * [progress]: localizing error 2.830 * * * [progress]: generating rewritten candidates 2.830 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.835 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.853 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.855 * * * [progress]: generating series expansions 2.855 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.856 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.856 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 2.856 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 2.856 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.856 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.856 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.856 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 2.856 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.856 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.856 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.857 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.857 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.863 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 2.863 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 2.863 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.863 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.863 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 2.863 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.864 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.864 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.864 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.864 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.871 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.871 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 2.871 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 2.871 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.871 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.871 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.871 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 2.871 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.871 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.872 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.872 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.872 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.874 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.879 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.879 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.879 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 2.879 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 2.879 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.879 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.879 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.879 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 2.879 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.879 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.880 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.880 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.880 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.886 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.886 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 2.886 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 2.886 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.886 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.886 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.886 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 2.886 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.887 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.887 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.887 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.887 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.893 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.893 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 2.893 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 2.893 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.894 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.894 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.894 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 2.894 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.894 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.894 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.895 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.901 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.901 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) into (atan2 1 (+ N (fma N N 1))) 2.901 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0 2.901 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.901 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.901 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.901 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.902 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.902 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.902 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0 2.902 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.903 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.903 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.903 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.903 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1))) 2.904 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.904 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0 2.904 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.904 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.904 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.904 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.905 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1))) 2.905 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.905 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.905 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0 2.905 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.905 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.906 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.906 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.906 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.906 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.906 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0 2.906 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.907 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.907 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.907 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.907 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1))) 2.908 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.908 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0 2.908 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.908 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.908 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.908 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.908 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1))) 2.909 * * * [progress]: simplifying candidates 2.909 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 2.909 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 2.909 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 2.909 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 2.909 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 2.909 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 2.909 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 2.909 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 2.909 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))))))> 2.910 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 2.910 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (atan2 1 (+ N (fma N N 1))))))> 2.911 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 2.911 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 2.912 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 2.913 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))))))> 2.914 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 2.914 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ N (fma N N 1))))))))> 2.915 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 2.915 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 2.916 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 2.916 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 2.916 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 2.916 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 2.916 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 2.916 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 2.918 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt 1) (sqrt (atan2 1 (+ N (fma N N 1)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))) (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt 1) (sqrt (atan2 1 (+ N (fma N N 1)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))) (expm1 (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (log1p (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (+ 1 1) (+ (log (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1)))))) (log (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (exp (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (cbrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))))) (cbrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (sqrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1))))))) (* (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* 1 1) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1))))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt 1)) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) 1) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (real->posit16 (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (expm1 (atan2 1 (+ N (fma N N 1)))) (log1p (atan2 1 (+ N (fma N N 1)))) (log (atan2 1 (+ N (fma N N 1)))) (exp (atan2 1 (+ N (fma N N 1)))) (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1))))) (cbrt (atan2 1 (+ N (fma N N 1)))) (* (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (real->posit16 (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) 2.920 * * [simplify]: iteration 0: 65 enodes 2.955 * * [simplify]: iteration 1: 118 enodes 2.990 * * [simplify]: iteration 2: 243 enodes 3.122 * * [simplify]: iteration 3: 658 enodes 3.314 * * [simplify]: iteration 4: 2001 enodes 3.702 * * [simplify]: iteration complete: 2001 enodes 3.702 * * [simplify]: Extracting #0: cost 30 inf + 0 3.703 * * [simplify]: Extracting #1: cost 329 inf + 3 3.705 * * [simplify]: Extracting #2: cost 732 inf + 1417 3.708 * * [simplify]: Extracting #3: cost 774 inf + 3270 3.711 * * [simplify]: Extracting #4: cost 756 inf + 4205 3.716 * * [simplify]: Extracting #5: cost 700 inf + 25309 3.746 * * [simplify]: Extracting #6: cost 353 inf + 176782 3.797 * * [simplify]: Extracting #7: cost 37 inf + 327157 3.859 * * [simplify]: Extracting #8: cost 0 inf + 344763 3.920 * [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)) 3.933 * * * [progress]: adding candidates to table 4.252 * * [progress]: iteration 4 / 4 4.252 * * * [progress]: picking best candidate 4.268 * * * * [pick]: Picked # 4.268 * * * [progress]: localizing error 4.298 * * * [progress]: generating rewritten candidates 4.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 4.299 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 4.300 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.301 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.345 * * * [progress]: generating series expansions 4.345 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 4.345 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.345 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 4.345 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 4.345 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 4.345 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.345 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.345 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 4.345 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 4.345 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.345 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.346 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.346 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.349 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.349 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 4.349 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 4.349 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 4.349 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.349 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.350 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 4.350 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 4.350 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.350 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.350 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.350 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.353 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.353 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 4.353 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 4.353 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 4.354 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.354 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.354 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 4.354 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 4.354 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.357 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.358 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.358 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.359 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.361 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 4.361 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.361 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 4.361 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 4.362 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 4.362 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.362 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.362 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 4.362 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 4.362 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.362 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.362 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.362 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.364 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.365 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.365 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 4.365 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 4.365 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 4.365 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.366 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.366 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 4.366 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 4.366 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.366 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.366 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.366 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.367 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.369 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.371 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.372 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.373 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 4.373 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 4.373 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 4.373 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.373 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.373 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 4.373 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 4.373 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.374 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.374 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.374 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.377 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.379 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.381 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.381 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.381 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 4.381 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 4.381 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 4.381 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.381 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.381 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 4.381 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 4.381 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.381 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.382 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.382 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.384 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.385 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.386 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.387 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.388 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 4.388 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 4.388 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 4.388 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.388 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.388 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 4.388 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 4.388 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.389 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.389 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 4.389 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.390 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.391 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.395 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.395 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 4.395 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 4.395 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 4.395 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.396 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.396 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 4.396 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 4.396 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.396 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.397 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 4.397 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.399 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.400 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.401 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 4.402 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.403 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ N (fma N N 1)))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))))) into (atan2 1 (+ N (fma N N 1))) 4.403 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0 4.403 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 4.403 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.403 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 4.403 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.403 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 4.403 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))))) (sqrt (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))))))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.403 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0 4.403 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 4.403 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.403 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 4.403 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.404 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1))) 4.404 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) (* (sqrt (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))))) (sqrt (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))))))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.404 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0 4.404 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 4.404 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.404 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 4.404 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.405 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1))) 4.405 * * * [progress]: simplifying candidates 4.405 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 11 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 4.405 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 16 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))))))))> 4.406 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 28 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 29 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 32 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))))))> 4.406 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 4.406 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 41 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 48 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))))))> 4.407 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 56 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 59 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 4.407 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 75 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 81 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 84 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 4.408 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 96 / 109 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ N (fma N N 1)))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))))))))> 4.409 * * * * [progress]: [ 97 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 4.409 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 4.410 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt 1) (sqrt (atan2 1 (+ N (fma N N 1)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))) (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt 1) (sqrt (atan2 1 (+ N (fma N N 1)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))) (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) 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(* (sqrt (atan2 1 (+ N (fma N N 1)))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))))) (real->posit16 (* (sqrt (atan2 1 (+ N (fma N N 1)))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) 4.412 * * [simplify]: iteration 0: 84 enodes 4.441 * * [simplify]: iteration 1: 170 enodes 4.467 * * [simplify]: iteration 2: 275 enodes 4.531 * * [simplify]: iteration 3: 427 enodes 4.727 * * [simplify]: iteration 4: 1019 enodes 4.996 * * [simplify]: iteration 5: 2020 enodes 5.306 * * [simplify]: iteration complete: 2020 enodes 5.306 * * [simplify]: Extracting #0: cost 28 inf + 0 5.307 * * [simplify]: Extracting #1: cost 201 inf + 3 5.317 * * [simplify]: Extracting #2: cost 515 inf + 176 5.322 * * [simplify]: Extracting #3: cost 513 inf + 8611 5.331 * * [simplify]: Extracting #4: cost 469 inf + 32421 5.357 * * [simplify]: Extracting #5: cost 172 inf + 239667 5.424 * * [simplify]: Extracting #6: cost 2 inf + 381039 5.520 * * [simplify]: Extracting #7: cost 0 inf + 381955 5.584 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1)))) (fabs (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ 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[regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # #) 5.930 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 5.985 * * * [regime]: Found split indices: #