23.036 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.073 * [progress]: [Phase 2 of 3] Improving. 0.073 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.074 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.074 * * [simplify]: iteration 0: 6 enodes 0.076 * * [simplify]: iteration 1: 11 enodes 0.079 * * [simplify]: iteration 2: 12 enodes 0.082 * * [simplify]: iteration complete: 12 enodes 0.082 * * [simplify]: Extracting #0: cost 1 inf + 0 0.082 * * [simplify]: Extracting #1: cost 4 inf + 0 0.082 * * [simplify]: Extracting #2: cost 6 inf + 0 0.082 * * [simplify]: Extracting #3: cost 4 inf + 253 0.082 * * [simplify]: Extracting #4: cost 0 inf + 735 0.082 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.087 * * * * [pick]: Picked # 0.087 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.118 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.121 * * * [progress]: generating series expansions 0.121 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.122 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.122 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.122 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.122 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.122 * [taylor]: Taking taylor expansion of (atan N) in N 0.122 * [backup-simplify]: Simplify (atan N) into (atan N) 0.122 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.122 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.122 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.122 * [taylor]: Taking taylor expansion of (atan N) in N 0.122 * [backup-simplify]: Simplify (atan N) into (atan N) 0.122 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.122 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.123 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.128 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.128 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.128 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.128 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.128 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.128 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.128 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.129 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.129 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.129 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.129 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.129 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.134 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.134 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.134 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.134 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.134 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.134 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.134 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.135 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.135 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.135 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.135 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.135 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.135 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.140 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.140 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.140 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.140 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.140 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.140 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.140 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.141 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.141 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.141 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.141 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.141 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.141 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.141 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.141 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.142 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.142 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.142 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.142 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.142 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.142 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.142 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.143 * * * [progress]: simplifying candidates 0.143 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 0.143 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 0.143 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 0.143 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 0.143 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 0.143 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 17 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 22 / 46 ] simplifiying candidate # 0.144 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.145 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 39 / 46 ] simplifiying candidate # 0.145 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.145 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 0.146 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 0.146 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 0.146 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 0.146 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 0.146 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 0.147 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1)) (atan N))) (log1p (- (atan (+ N 1)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ N 1) N) (+ 1 (* (+ N 1) N)) (/ (exp (atan (+ N 1))) (exp (atan N))) (log (- (atan (+ N 1)) (atan N))) (exp (- (atan (+ N 1)) (atan N))) (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N))) (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N)) (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (expm1 (atan (+ N 1))) (log1p (atan (+ N 1))) (log (atan (+ N 1))) (exp (atan (+ N 1))) (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (real->posit16 (atan (+ N 1))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (atan (+ N 1)) (atan (+ N 1)) 0.148 * * [simplify]: iteration 0: 67 enodes 0.176 * * [simplify]: iteration 1: 140 enodes 0.251 * * [simplify]: iteration 2: 288 enodes 0.425 * * [simplify]: iteration 3: 773 enodes 0.926 * * [simplify]: iteration 4: 2004 enodes 1.421 * * [simplify]: iteration complete: 2004 enodes 1.421 * * [simplify]: Extracting #0: cost 30 inf + 0 1.422 * * [simplify]: Extracting #1: cost 176 inf + 2 1.425 * * [simplify]: Extracting #2: cost 431 inf + 1529 1.435 * * [simplify]: Extracting #3: cost 373 inf + 39266 1.466 * * [simplify]: Extracting #4: cost 108 inf + 150865 1.507 * * [simplify]: Extracting #5: cost 4 inf + 198758 1.550 * * [simplify]: Extracting #6: cost 0 inf + 200409 1.572 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (expm1 (- (atan (+ 1 N)) (atan N))) (log1p (- (atan (+ 1 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1 (fma N (+ 1 N) 1) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (* (atan N) (atan N)) (atan N))) (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N)) (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (expm1 (atan (+ 1 N))) (log1p (atan (+ 1 N))) (log (atan (+ 1 N))) (exp (atan (+ 1 N))) (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (real->posit16 (atan (+ 1 N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan (+ 1 N)) (atan (+ 1 N)) 1.576 * * * [progress]: adding candidates to table 1.725 * * [progress]: iteration 2 / 4 1.725 * * * [progress]: picking best candidate 1.729 * * * * [pick]: Picked # 1.729 * * * [progress]: localizing error 1.747 * * * [progress]: generating rewritten candidates 1.747 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.748 * * * [progress]: generating series expansions 1.748 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.748 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.748 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 1.748 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.749 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.749 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.749 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.749 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.749 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.749 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 1.749 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.749 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.749 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.750 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.750 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.750 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.750 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 1.750 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.750 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.750 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.751 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.751 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.751 * * * [progress]: simplifying candidates 1.751 * * * * [progress]: [ 1 / 13 ] simplifiying candidate # 1.751 * * * * [progress]: [ 2 / 13 ] simplifiying candidate # 1.751 * * * * [progress]: [ 3 / 13 ] simplifiying candidate # 1.751 * * * * [progress]: [ 4 / 13 ] simplifiying candidate # 1.751 * * * * [progress]: [ 5 / 13 ] simplifiying candidate # 1.751 * * * * [progress]: [ 6 / 13 ] simplifiying candidate # 1.751 * * * * [progress]: [ 7 / 13 ] simplifiying candidate # 1.751 * * * * [progress]: [ 8 / 13 ] simplifiying candidate # 1.752 * * * * [progress]: [ 9 / 13 ] simplifiying candidate # 1.752 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))> 1.752 * * * * [progress]: [ 11 / 13 ] simplifiying candidate # 1.752 * * * * [progress]: [ 12 / 13 ] simplifiying candidate # 1.752 * * * * [progress]: [ 13 / 13 ] simplifiying candidate # 1.752 * [simplify]: Simplifying: (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 1.752 * * [simplify]: iteration 0: 18 enodes 1.758 * * [simplify]: iteration 1: 25 enodes 1.764 * * [simplify]: iteration 2: 37 enodes 1.776 * * [simplify]: iteration 3: 62 enodes 1.791 * * [simplify]: iteration 4: 133 enodes 1.852 * * [simplify]: iteration 5: 223 enodes 1.918 * * [simplify]: iteration 6: 378 enodes 2.078 * * [simplify]: iteration 7: 554 enodes 2.252 * * [simplify]: iteration 8: 834 enodes 2.685 * * [simplify]: iteration 9: 1660 enodes 3.114 * * [simplify]: iteration 10: 2004 enodes 3.476 * * [simplify]: iteration complete: 2004 enodes 3.477 * * [simplify]: Extracting #0: cost 10 inf + 0 3.477 * * [simplify]: Extracting #1: cost 64 inf + 0 3.478 * * [simplify]: Extracting #2: cost 288 inf + 4 3.480 * * [simplify]: Extracting #3: cost 285 inf + 7153 3.490 * * [simplify]: Extracting #4: cost 156 inf + 113289 3.512 * * [simplify]: Extracting #5: cost 32 inf + 229892 3.539 * * [simplify]: Extracting #6: cost 0 inf + 264702 3.592 * * [simplify]: Extracting #7: cost 0 inf + 264280 3.649 * * [simplify]: Extracting #8: cost 0 inf + 264240 3.703 * [simplify]: Simplified to: (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 3.704 * * * [progress]: adding candidates to table 3.779 * * [progress]: iteration 3 / 4 3.779 * * * [progress]: picking best candidate 3.793 * * * * [pick]: Picked # 3.793 * * * [progress]: localizing error 3.826 * * * [progress]: generating rewritten candidates 3.826 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.828 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.831 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.848 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.849 * * * [progress]: generating series expansions 3.849 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.849 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.849 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 3.849 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.849 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.849 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.850 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.850 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.850 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.850 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.850 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.850 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.850 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.851 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.852 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.854 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 3.854 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.854 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.854 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.854 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.854 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.854 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.855 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.858 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 3.858 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.858 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.858 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.858 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.858 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.858 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.858 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.859 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.863 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.863 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 3.863 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.863 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.863 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.863 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.863 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.863 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.863 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.863 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.866 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.867 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.867 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 3.867 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.867 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.867 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.867 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.867 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.867 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.867 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.867 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.868 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.871 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.871 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 3.871 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.871 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.871 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.872 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.872 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.872 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.872 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.872 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.872 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.872 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.876 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.876 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ N 1) 1)) 3.876 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 3.876 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.876 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.876 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.876 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.876 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.876 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.876 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 3.876 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.876 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.876 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.877 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.877 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.877 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.877 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 3.877 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.877 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.877 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.877 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.877 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.878 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.878 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.878 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 3.878 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.878 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.878 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.878 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.878 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.878 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.878 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 3.878 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.878 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.878 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.878 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.879 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.879 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.879 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 3.879 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.879 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.879 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.879 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.879 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.880 * * * [progress]: simplifying candidates 3.880 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 3.880 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 3.880 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 3.881 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 3.881 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 3.882 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 3.883 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 3.884 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 3.884 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))))> 3.885 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 3.885 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 3.886 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 3.886 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 3.886 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 3.888 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (log1p (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (+ 1 1) (+ (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (log (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (exp (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* 1 1) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt 1)) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 1) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 3.890 * * [simplify]: iteration 0: 69 enodes 3.912 * * [simplify]: iteration 1: 123 enodes 3.941 * * [simplify]: iteration 2: 259 enodes 4.065 * * [simplify]: iteration 3: 679 enodes 4.344 * * [simplify]: iteration 4: 2011 enodes 4.891 * * [simplify]: iteration complete: 2011 enodes 4.891 * * [simplify]: Extracting #0: cost 30 inf + 0 4.892 * * [simplify]: Extracting #1: cost 331 inf + 3 4.894 * * [simplify]: Extracting #2: cost 733 inf + 1080 4.897 * * [simplify]: Extracting #3: cost 767 inf + 3144 4.900 * * [simplify]: Extracting #4: cost 752 inf + 3912 4.906 * * [simplify]: Extracting #5: cost 655 inf + 43646 4.951 * * [simplify]: Extracting #6: cost 273 inf + 216686 5.017 * * [simplify]: Extracting #7: cost 12 inf + 336572 5.105 * * [simplify]: Extracting #8: cost 0 inf + 342057 5.192 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (+ (fma N N N) 1)))) (log1p (sqrt (atan2 1 (+ (fma N N N) 1)))) (log (sqrt (atan2 1 (+ (fma N N N) 1)))) (exp (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (atan2 1 (+ (fma N N N) 1)) (sqrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) 1 (sqrt (atan2 1 (+ (fma N N N) 1))) 1/2 (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (real->posit16 (sqrt (atan2 1 (+ (fma N N N) 1)))) (expm1 (sqrt (atan2 1 (+ (fma N N N) 1)))) (log1p (sqrt (atan2 1 (+ (fma N N N) 1)))) (log (sqrt (atan2 1 (+ (fma N N N) 1)))) (exp (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (atan2 1 (+ (fma N N N) 1)) (sqrt (atan2 1 (+ (fma N N N) 1)))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) 1 (sqrt (atan2 1 (+ (fma N N N) 1))) 1/2 (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (real->posit16 (sqrt (atan2 1 (+ (fma N N N) 1)))) (expm1 (atan2 1 (+ (fma N N N) 1))) (log1p (atan2 1 (+ (fma N N N) 1))) 1 1 2 1 1 (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)) (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1))) 2 (log (atan2 1 (+ (fma N N N) 1))) (log (atan2 1 (+ (fma N N N) 1))) (exp (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)))) (* (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)))) (* (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))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) 1 (atan2 1 (+ (fma N N N) 1)) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) 1 (atan2 1 (+ (fma N N N) 1)) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) 1 2 1 (* (sqrt (atan2 1 (+ (fma N N N) 1))) (* (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1)))))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (fabs (cbrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (atan2 1 (+ (fma N N N) 1))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (sqrt (atan2 1 (+ (fma N N N) 1))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (cbrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (* (sqrt (cbrt (atan2 1 (+ (fma N N N) 1)))) (sqrt (atan2 1 (+ (fma N N N) 1)))) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (atan2 1 (+ (fma N N N) 1)) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (sqrt (atan2 1 (+ (fma N N N) 1))))) (atan2 1 (+ (fma N N N) 1)) (real->posit16 (atan2 1 (+ (fma N N N) 1))) (expm1 (atan2 1 (+ (fma N N N) 1))) (log1p (atan2 1 (+ (fma N N N) 1))) (log (atan2 1 (+ (fma N N N) 1))) (exp (atan2 1 (+ (fma N N N) 1))) (* (cbrt (atan2 1 (+ (fma N N N) 1))) (cbrt (atan2 1 (+ (fma N N N) 1)))) (cbrt (atan2 1 (+ (fma N N N) 1))) (* (atan2 1 (+ (fma N N N) 1)) (* (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (real->posit16 (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ (fma N N N) 1))) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) (atan2 1 (+ (fma N N N) 1)) 5.203 * * * [progress]: adding candidates to table 6.046 * * [progress]: iteration 4 / 4 6.046 * * * [progress]: picking best candidate 6.071 * * * * [pick]: Picked # 6.072 * * * [progress]: localizing error 6.094 * * * [progress]: generating rewritten candidates 6.094 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 6.095 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 6.096 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.097 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.137 * * * [progress]: generating series expansions 6.137 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 6.137 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.137 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 6.137 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.137 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.137 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.137 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.137 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.137 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.137 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.137 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.137 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.137 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.138 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.139 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.140 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.140 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.141 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.141 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 6.141 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.141 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.141 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.141 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.141 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.141 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.142 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.142 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.142 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.143 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.144 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.146 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.146 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 6.146 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.146 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.146 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.146 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.147 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.147 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.147 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.147 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.147 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.147 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.148 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.150 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.151 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.152 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.153 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.154 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 6.154 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.154 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 6.154 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.154 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.154 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.154 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.154 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.154 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.154 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.155 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.155 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.155 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.156 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.157 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.159 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.161 * [backup-simplify]: Simplify 0 into 0 6.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.161 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 6.161 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.161 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.161 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.161 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.161 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.161 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.161 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.162 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.164 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.165 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.165 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 6.165 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.165 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.165 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.165 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.165 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.165 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.165 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.165 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.166 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.166 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.169 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.169 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.169 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 6.169 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.169 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.169 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.169 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.169 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.169 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.169 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.170 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.170 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.170 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.171 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.173 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.173 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 6.173 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.173 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.173 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.173 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.173 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.173 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.173 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.173 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.174 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.174 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.176 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.177 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.177 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 6.177 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.177 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.177 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.177 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.177 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.177 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.178 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.178 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.178 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.178 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.179 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.180 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.180 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.181 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.181 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) into (atan2 1 (fma N (+ N 1) 1)) 6.181 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 6.181 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.181 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.181 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.182 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.182 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.182 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) (* (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.182 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 6.182 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.182 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.182 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.182 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.182 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.183 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) (* (sqrt (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) (sqrt (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.183 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 6.183 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.183 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.183 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.183 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.183 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.184 * * * [progress]: simplifying candidates 6.184 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 11 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 16 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))))> 6.184 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 6.184 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 28 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 29 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 32 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 6.185 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 41 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 48 / 109 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 6.185 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 6.185 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 56 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 59 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 75 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 6.186 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 81 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 84 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 96 / 109 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))))> 6.187 * * * * [progress]: [ 97 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 6.187 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 6.188 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (log1p (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (+ 1/2 (+ (/ 1/2 2) (/ 1/2 2))) (+ 1/2 (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ 1/2 (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ 1/2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ 1/2 (* 2 (/ 1/2 2))) (+ 1/2 (* 2 (/ (/ 1 2) 2))) (+ 1 (+ 1/2 1/2)) (+ 1 (+ 1/2 (/ 1 2))) (+ 1 (+ (/ 1 2) 1/2)) (+ 1 (+ (/ 1 2) (/ 1 2))) (+ 1 (* 2 1/2)) (+ 1 (* 2 (/ 1 2))) (+ (/ 1 2) (+ (/ 1/2 2) (/ 1/2 2))) (+ (/ 1 2) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (/ 1 2) (* 2 (/ 1/2 2))) (+ (/ 1 2) (* 2 (/ (/ 1 2) 2))) (* (atan2 1 (fma N (+ 1 N) 1)) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (atan2 1 (fma N (+ 1 N) 1)) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (+ (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (+ (log (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (log (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (+ (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (log (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (exp (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (* (* (* (sqrt (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 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (* (* (* (sqrt (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 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (* (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))) (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (* (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (* (sqrt (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))))))) (* (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 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (sqrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (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)))))) (real->posit16 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 6.190 * * [simplify]: iteration 0: 88 enodes 6.229 * * [simplify]: iteration 1: 175 enodes 6.268 * * [simplify]: iteration 2: 294 enodes 6.337 * * [simplify]: iteration 3: 455 enodes 6.578 * * [simplify]: iteration 4: 1044 enodes 6.886 * * [simplify]: iteration 5: 2014 enodes 7.329 * * [simplify]: iteration complete: 2014 enodes 7.329 * * [simplify]: Extracting #0: cost 28 inf + 0 7.330 * * [simplify]: Extracting #1: cost 206 inf + 3 7.333 * * [simplify]: Extracting #2: cost 498 inf + 345 7.339 * * [simplify]: Extracting #3: cost 531 inf + 1561 7.346 * * [simplify]: Extracting #4: cost 454 inf + 38109 7.388 * * [simplify]: Extracting #5: cost 193 inf + 216081 7.460 * * [simplify]: Extracting #6: cost 9 inf + 364715 7.545 * * [simplify]: Extracting #7: cost 0 inf + 369462 7.624 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (log1p (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (log (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (exp (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1))) (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) 1 (sqrt (atan2 1 (fma (+ 1 N) N 1))) 1/2 (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (real->posit16 (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (expm1 (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (log1p (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (log (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (exp (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1))) (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) 1 (sqrt (atan2 1 (fma (+ 1 N) N 1))) 1/2 (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (real->posit16 (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (expm1 (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (log1p (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (log (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (exp (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1))))) (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1))) (fabs (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) 1 (sqrt (atan2 1 (fma (+ 1 N) N 1))) 1/2 (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (real->posit16 (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (expm1 (atan2 1 (fma (+ 1 N) N 1))) (log1p (atan2 1 (fma (+ 1 N) N 1))) 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1)) (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1))) (log (atan2 1 (fma (+ 1 N) N 1))) (log (atan2 1 (fma (+ 1 N) N 1))) (log (atan2 1 (fma (+ 1 N) N 1))) (exp (atan2 1 (fma (+ 1 N) N 1))) (* (atan2 1 (fma (+ 1 N) N 1)) (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1)))) (* (atan2 1 (fma (+ 1 N) N 1)) (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1)))) (* (cbrt (atan2 1 (fma (+ 1 N) N 1))) (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (cbrt (atan2 1 (fma (+ 1 N) N 1))) (* (atan2 1 (fma (+ 1 N) N 1)) (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1)))) (* (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (* (cbrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (* (sqrt (cbrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (* (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (atan2 1 (fma (+ 1 N) N 1)) (* (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (atan2 1 (fma (+ 1 N) N 1)) (real->posit16 (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1))) (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1)) (atan2 1 (fma (+ 1 N) N 1)) 7.634 * * * [progress]: adding candidates to table 7.961 * [progress]: [Phase 3 of 3] Extracting. 7.962 * * [regime]: Finding splitpoints for: (# # # # # # # #) 7.963 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1)) (atan N)) N) 7.963 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # # #) 8.021 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 8.062 * * * [regime]: Found split indices: #